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Parabola is a mathematics magazine published by UNSW, Sydney. Among other things, each issue of Parabola has contained a collection of puzzles/problems, on various mathematical topics and at a suitable level for younger (but mathematically sophisticated) readers.Parabolic Problems: 60 Years of Mathematical Puzzles in Parabola collects the very best of almost 1800 problems and puzzles into a single volume. Many of the problems have been re-mastered, and new illustrations have been added. Topics covered range across geometry, number theory, combinatorics, logic, and algebra. Solutions are provided to all problems, and a chapter has been included detailing some frequently useful problem-solving techniques, making this a fabulous resource for education and, most importantly, fun!Features Hundreds of diverting and mathematically interesting problems and puzzles. Accessible for anyone with a high school-level mathematics education. Wonderful resource for teachers and students of mathematics from high school to undergraduate level, and beyond.

Target success in Level 1 Maths with this brand-new functional skills revision and exam practice guide.Suitable for all functional skills courses, this guide explains the key content you need to understand the topics on your course, so you can revise effectively and practise for your exams with the types of questions you will be asked.Now I get it! Grasp even the most difficult topics with clear and simple explanations and questions to test your understandingHow do I answer this? Learn how to unpick the types of exam questions you will face with clear guidance on how to structure your answersSo what do I need to do to pass? Improve your exam skills with hundreds of practice questions for you to try, as well as worked examples and model answers to check you are on the path to successWith a revision planner, exam countdown timetable to help you pace your revision and glossary of all key terms, My Functional Skills has all you need to approach your exams with real confidence.

Target success in Level 2 Maths with this brand-new functional skills revision and exam practice guide.Suitable for all functional skills courses, this guide explains the key content you need to understand the topics on your course, so you can revise effectively and practise for your exams with the types of questions you will be asked.Now I get it! Grasp even the most difficult topics with clear and simple explanations and questions to test your understanding How do I answer this? Learn how to unpick the types of exam questions you will face with clear guidance on how to structure your answersSo what do I need to do to pass? Improve your exam skills with hundreds of practice questions for you to try, as well as worked examples and model answers to check you are on the path to successWith a revision planner, exam countdown timetable to help you pace your revision and glossary of all key terms, My Functional Skills has all you need to approach your exams with real confidence.

On August 8, 1900, at the second International Congress of Mathematicians in Paris, David Hilbert delivered his famous lecture in which he described twenty-three problems that were to play an influential role in mathematical research. A century later, on May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute (CMI) announced the creation of a US$7 million prize fund for the solution of seven important classic problems which have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize Problems were selected by the founding Scientific Advisory Board of CMI—Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten—after consulting with other leading mathematicians. Their aim was somewhat different than that of Hilbert: not to define new challenges, but to record some of the most difficult issues with which mathematicians were struggling at the turn of the second millennium; to recognize achievement in mathematics of historical dimension; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; and to emphasize the importance of working towards a solution of the deepest, most difficult problems. The present volume sets forth the official description of each of the seven problems and the rules governing the prizes. It also contains an essay by Jeremy Gray on the history of prize problems in mathematics.

Challenge your brain with math! Using nothing more than basic arithmetic and logic, you'll be thrilled as answers slot into place. Whether purely for fun or to test your knowledge, you'll sharpen your problem-solving skills and flex your mental muscles. All you need is logical thought, a little patience, and a clear mind. There are no gotchas here. These puzzles are the perfect introduction to or refresher for math concepts you may have only just learned or long since forgotten. Get ready to have more fun with numbers than you've ever had before. Engage your analytical side with these numerical brain teasers. Math and logic puzzles help you stretch your mind to think in new ways. They flex your lateral thinking as you work through fresh problem styles. Each puzzle type comes with an explanation, a method for solving them, and solutions if you get stuck. The puzzles in this book are short, self-contained, and'gritty.'They offer an enjoyable challenge and are designed to be solvable within a few minutes. You only need basic arithmetic to solve these puzzles; no advanced math required. There's plenty of variety to keep things fresh. From wandering digits to magic triangles, from summing grids to water pails, you'll find something that catches your interest. Each puzzle is brief, so use them as a warm-up to your daily work, for a delightful diversion on your coffee break, or solve a few while you wind down for the day. Grab a pencil and your thinking cap, and get solving!

The ideal study guide for success in Basic Math—updated with the latest strategies and hundreds of practice questions Practice makes perfect—and this study guide gives you all the practice you need to gain mastery in Basic Math. Whether you're a high school or college student, or a self-studying adult, the hundreds of exercises in Practice Makes Perfect: Basic Math Review and Workbook, Third Edition will help you become comfortable, and ultimately gain confidence with the material. This updated edition features the latest strategies and lesson instruction in an accessible format, with thorough review followed immediately by a variety of practice questions. Covering all the essential basic math topics, this book will give you everything you need to help with your schoolwork, exams, and everyday life! Features: Hundreds of updated practice questions, including the latest question types Updated lesson instruction and the latest math strategies An easy-to-use format, with concise lessons followed by lots of practice Covers all of the most important Basic Math concepts and acts as an introduction to the different branches of math Topics include arithmetic, multiplication, division, basic geometry and algebra, negative numbers, square roots, working with fractions, lessons on transformations and an expanded look at fractions and decimals An answer key to help check your work

Absolutely everything you need to get ready for Algebra Scared of square roots? Suspicious of powers of ten? You're not alone. Plenty of school-age students and adult learners don't care for math. But, with the right guide, you can make math basics “click” for you too! In Basic Math & Pre-Algebra All-in-One For Dummies, you'll find everything you need to be successful in your next math class and tackle basic math tasks in the real world. Whether you're trying to get a handle on pre-algebra before moving to the next grade or looking to get more comfortable with everyday math—such as tipping calculations or balancing your checkbook—this book walks you through every step—in plain English, and with clear explanations—to help you build a firm foundation in math. You'll also get: Practice quizzes at the end of each chapter to test your comprehension and understanding A bonus online quiz for each chapter, with answer choices presented in multiple choice format A ton of explanations, examples, and practice problems that prepare you to tackle more advanced algebraic conceptsFrom the different categories of numbers to mathematical operations, fractions, percentages, roots and powers, and a short intro to algebraic expressions and equations, Basic Math & Pre-Algebra All-in-One For Dummies is an essential companion for anyone who wants to get a handle on the foundational math concepts that are the building blocks for Algebra and beyond.

Practice makes perfect—gain math mastery with Dummies Basic Math & Pre-Algebra: 1001 Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems on all the major topics in middle-grade math and Pre-Algebra—in the book and online! Get extra practice with tricky subjects, solidify what you've already learned, and get in-depth walk-throughs for every problem with this useful book. These practice problems and detailed answer explanations will improve your mathemagic abilities, no matter what your skill level is now. Thanks to Dummies, you have a resource to help you put key concepts into practice. Work through practice problems on all middle-grade and Pre-Algebra topics covered in class Step through detailed solutions to build your understanding Access practice questions online to study anywhere, any time Improve your grade and up your study game with practice, practice, practiceThe material presented in Basic Math & Pre-Algebra: 1001 Practice Problems For Dummies is an excellent resource for students, as well as parents and tutors looking to help supplement clasroom instruction. Basic Math & Pre-Algebra: 1001 Practice Problems For Dummies (9781119883500) was previously published as 1,001 Basic Math & Pre-Algebra Practice Problems For Dummies (9781118446560). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

Mathematik ist nicht jedermanns Sache und oft sind es gerade die Grundlagen aus den Klassen 4-7, die fehlen: Wie berechnet man nochmal den Umfang eines Kreises? Wieviel Geld spare ich bei 30% Rabatt? Und wie geht man Textaufgaben eigentlich richtig an? Fragen über Fragen - die Antworten finden Sie in diesem Buch. Egal ob Bruch- oder Prozentrechnung, Geometrie, Algebra, Wahrscheinlichkeitsrechnung oder Statistik, Mark Zegarelli erklärt es Ihnen einfach, mit Humor und immer schnell auf den Punkt. Frischen Sie Ihr Wissen auf, lernen Sie die Grundlagen der Mathematik und werden Sie ruckzuck zum Mathe-Ass.

• Excel in UPSC NDA/NA Mathematics Paper-I 2021 (solved) with EduGorilla.• Prepare with the quality content and improve your chances of selection by 5 times. • Get detailed explanations of answers to get a better understanding of the concepts and solutions.• The question bank given in the book is in MCQ form just as in the real exam.• The questions modeled in the Practice Book hold a high probability of being asked in the exam.• The solutions of mock tests are mentioned with some tips and tricks by the expert.• UPSC National Defence Academy/Naval Academy Paper-1 is drafted in a way that helps the aspirant to prepare for the exam strategically.• Smart Answer Sheets reflecting the Success Rate of Aspirants in all the Questions.• Mathematics Paper 1 Mock Test Series are crafted keeping in mind the latest syllabus and guidelines given by the Union Public Service Commission.Why EduGorilla?• Holistic Exam Preparation• Well-Researched Content• Most Expected Questions in the Examination• Well-Structured & Detailed Solutions• Also provides Online Test Series and Mock Interviews• The Trust of 2 Crore+ Students and Teachers

Detailed plans for helping elementary students experience deep mathematical learning Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don't have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! Classroom Ready-Rich Math Tasks for Grades 4-5 details more than 50 research- and standards-aligned, high-cognitive-demand tasks that will have your students doing deep-problem-based learning. These ready-to-implement, engaging tasks connect skills, concepts and practices, while encouraging students to reason, problem-solve, discuss, explore multiple solution pathways, connect multiple representations, and justify their thinking. They help students monitor their own thinking and connect the mathematics they know to new situations. In other words, these tasks allow students to truly do mathematics! Written with a strengths-based lens and an attentiveness to all students, this guide includes: • Complete task-based lessons, referencing mathematics standards and practices, vocabulary, and materials • Downloadable planning tools, student resource pages, and thoughtful questions, and formative assessment prompts • Guidance on preparing, launching, facilitating, and reflecting on each task • Notes on access and equity, focusing on students'strengths, productive struggle, and distance or alternative learning environments. With concluding guidance on adapting or creating additional rich tasks for your students, this guide will help you give all of your students the deepest, most enriching and engaging mathematics learning experience possible.

Mathematical Labyrinths. Pathfinding provides an overview of various non-standard problems and the approaches to their solutions. The essential idea is a framework laid upon the reader on how to solve nonconventional problems — particularly in the realm of mathematics and logic. It goes over the key steps in approaching a difficult problem, contemplating a plan for its solution, and discusses set of mental models to solve math problems.The book is not a routine set of problems. It is rather an entertaining and educational journey into the fascinating world of mathematical reasoning and logic. It is about finding the best path to a solution depending on the information given, asking and answering the right questions, analyzing and comparing alternative approaches to problem solving, searching for generalizations and inventing new problems. It also considers as an important pedagogical tool playing mathematical and logical games, deciphering mathematical sophisms, and interpreting mathematical paradoxes.It is suitable for mathematically talented and curious students in the age range 10-20. There are many'Eureka'- type, out of the ordinary, fun problems that require bright idea and insight. These intriguing and thought-provoking brainteasers and logic puzzles should be enjoyable by the audience of almost any age group, from 6-year-old children to 80-year-old and older adults.

Ce livre regroupe l'ensemble de l'algèbre linéaire et générale, de la théorie des graphes et des probabilités couramment enseignés en L1-L2 et au sein des CPGE. Véritable outil pratique, ses 62 fiches mettent en valeur toutes les notions importantes que les étudiants doivent maîtriser. Dans le livre : l'ensemble des énoncés de cours certaines démonstrations essentielles une parties des exemples et des exercices corrigés En fiches téléchargeables facilement accessibles : la majorité des démonstrations une partie des exemples et des exercices corrigés l'ensemble des problèmes récapitulatifs Ce livre est aussi une excellente base pour s'entraîner à la préparation aux concours de l'enseignement.

Study smarter and stay on top of your discrete mathematics course with the bestselling Schaum's Outline—now with the NEW Schaum's app and website! Schaum's Outline of Discrete Mathematics, Fourth Edition is the go-to study guide for more than 115,000 math majors and first- and second-year university students taking basic computer science courses. With an outline format that facilitates quick and easy review, Schaum's Outline of Discrete Mathematics, Fourth Edition helps you understand basic concepts and get the extra practice you need to excel in these courses. Coverage includes set theory; relations; functions and algorithms; logic and propositional calculus; techniques of counting; advanced counting techniques, recursion; probability; graph theory; directed graphs; binary trees; properties of the integers; languages, automata, machines; finite state machines and Turning machines; ordered sets and lattices, and Boolean algebra. Features • NEW to this edition: the new Schaum's app and website! • NEW to this edition: 20 NEW problem-solving videos online • 467 solved problems, and hundreds of additional practice problems • Outline format to provide a concise guide to the standard college course in discrete mathematics • Clear, concise explanations of discrete mathematics concepts • Expanded coverage of logic, the rules of inference and basic types of proofs in mathematical reasoning • Increased emphasis on discrete probability and aspects of probability theory, and greater accessibility to counting techniques. • Logic chapter emphasizes the IF-THEN and IF-THEN-ELSE sequencing that occurs in computer programming • Computer arithmetic chapter covers binary and hexagon addition and multiplication • Cryptology chapter includes substitution and RSA method • Supports these major texts: Discrete Mathematics and Its Applications (Rosen), and Discrete Mathematics (Epp) • Appropriate for the following courses: Introductory Discrete Mathematics and Discrete Mathematics

Wenn auch Sie sich zum Beispiel schon oft gefragt haben, ob Hunde rechnen können, wie man das Gewicht eines Schweines berechnet oder worin der Unterschied zwischen großen und riesengroßen Zahlen liegt, finden Sie in diesem Buch, in seiner aktualisierten und erweiterten Auflage, die mathematischen Lösungen. Außerdem ist ein komplett neues Kapitel über Mathematik und Corona hinzugekommen, in dem das Phänomen des exponentiellen Wachstums mit Hilfe von Schachbrettern und Haien genauer unter die Lupe genommen wird. Entdecken Sie auf humorvolle Weise, welche überraschenden Erklärungen Ihnen die Mathematik für alltägliche Fragen zu bieten hat.

From the infamous'Hannah's sweets'exam question to percentages'life-hacks', viral math problems seem to capture the public's imagination without fail. This is often because they blow people's minds with their logic, or there are multiple answers, or no answer or at all, or they are just generally wacky. The same people who will openly celebrate that they'never got math'will fight tooth and nail with their Auntie on Facebook over whether the answer to 60 + 60 x 0 + 1 is 61 or 1 (it's 61, by the way.). Why do friends and relatives who would glaze over in a math lesson pile into a discussion with strangers on social media over why the grey elephant comes from Denmark? Math teacher and award-winning science communicator Kyle D Evans wants to explore exactly what it is about viral social media puzzles that is so appealing. Maths Tricks to Blow Your Mind presents 50 or so viral math problems from recent years with background information, explanations and solutions to similar problems, all in a humorous, accessible and inclusive manner. Want to dazzle and delight your friends and family? This book shows you how!

Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—not the particular mathematics we chose for the curriculum. Using our text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The focus is on problems suggested by the news of the day and topics that matter to students, like inflation, credit card debt, and loans. We use search engines, calculators, and spreadsheet programs as tools to reduce drudgery, explore patterns, and get information. Technology is an integral part of today's world—this text helps students use it thoughtfully and wisely. This second edition contains revised chapters and additional sections, updated examples and exercises, and complete rewrites of critical material based on feedback from students and teachers who have used this text. Our focus remains the same: to help students to think carefully—and critically—about numerical information in everyday contexts.

British-Israeli recreational mathematician, communicator and educator, Yossi Elran explores in-depth six of the most ingenious math puzzles, exposing their long'tails': the stories, trivia, quirks and oddities of their history and, of course, the math and mathematicians behind them. In his unique'talmudic', associative way, Elran shows the hidden connections between Lewis Carroll's'Cats and Rats'puzzle and the math of taxi driving, a number pyramid magic trick and Hollywood movie fractals, and even how packing puzzles are related to COVID-19!Elran has a great talent for explaining difficult topics — including quantum mechanics, a topic he relates to some original'operator'puzzles — making the book very accessible for all audiences.With over 40 additional, original puzzles, and touching on dozens of hot math topics, this is a perfect book for math lovers, educators, kids and adults, and anyone who loves a great read.Yossi Elran is co-author of our bestselling The Paper Puzzle Book, and heads the Innovation Center at the Davidson Institute of Science Education, the educational arm of the world-renowned Weizmann Institute of Science in Israel.

La préparation des candidats aux concours de recrutement de l'Éducation nationale nécessite des outils et des méthodes qu'il leur est souvent bien difficile de se procurer, faute d'une littérature adaptée aux exigences de la situation.Taillé sur mesure pour les candidats à l'Agrégation interne, ce cours d'analyse et de probabilités est également très utile, aujourd'hui, pour ceux de l'agrégation externe. Toutes les notions y sont abordées dans le détail et leur assimilation est facilitée par près de 200 exercices et problèmes corrigés dont beaucoup peuvent être utilisés par les candidats pour leur leçon à l'épreuve orale. Cette deuxième édition refondue intégre de nouveaux exercices et problèmes issus des dernières annales du concours. Sommaire : 1. Topologie sur les espaces métriques – 2. Suites dans un espace métrique – 3. Continuité et limite dans les espaces métriques – 4. Espaces métriques complets – 5. Espaces métriques compacts – 6. Espaces convexes – 7. Suites réelles – 8. Fonctions dérivables – 9. Comparaison locale ou asymptotique de fonctions – 10. Suites définies par une occurrence – 11. Vitesse et accélération de convergence de suites réelles – 12. Espaces vectoriels normés – 13. Intégration sur un segment – 14. Intégrales généralisées – 15. Séries à valeurs dans un espace vectoriel normé – 16. Suites de fonctions – 17. Séries de fonctions – 18. Séries entières – 19. Exponentielle dans un algèbre de Banach – 20. Espaces préhilbertiens – 21. Séries de Fourier – 22. Probabilités – 23. Fonctions intégrables – 24. Fonctions convexes – 25. Calcul de valeurs approchées d'une intégrale – 26. Équations différentielles linéaires scalaires du premier ordre – 27. Systèmes différentiels linéaires – 28. Équations différentielles linéaires scalaires d'ordre deux - Index

Ce livre permet au jeune bachelier de se remettre à niveau et d'atteindre une bonne maîtrise des mathématiques pour la réussite de sa licence à travers 100 exercices'passerelle'entre l'enseignement secondaire et l'enseignement supérieur. Et surtout de maîtriser les différents types de raisonnement. Ce sont les 100 situations typiques que l'étudiant va rencontrer après le bac et qui peuvent encore être abordées avec les outils du lycée. L'équation est simple : 100 exercices et leur corrigé en 200 pages! L'entrée se fait par une liste de compétences développées en début d'ouvrage :- raisonner par l'absurde- raisonner par récurrence- raisonner par disjonction des cas- modéliser- majorer, minorer, comparer- dériver, intégrer- sommer- transposer, changer de registre- résoudre et contrôlerLa plupart des exercices comportent des schémas en couleurs pour une meilleure compréhension.

The challenges in this book are mainly designed for able mathematicians in elementary or middle school although many of the tasks are appropriate for a much wider range of ages. Extensively trialled through the author's work as a Mathematics Advisor in Kent, UK. Each task has a Task Sheet describing the challenge and Explanatory Notes that include learning objectives, resources implications, advice, answers and possible further study. Teachers and parents will find it invaluable. The challenges are graded in terms of their accessibility to a wide range of ability (rather than in terms of difficulty). Many of the challenges are presented as practical problems to help pupils develop their mathematical thinking.

Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introducing the topics, the book will also provide several repetitive-type guided problems to help develop vital techniques in solving problems correctly and efficiently. The techniques employed in the book will help prepare students for the topics they will typically face in an Olympiad-style event, but also for future college mathematics courses in Discrete Mathematics, Graph Theory, Differential Equations, Number Theory and Abstract Algebra.Features: Numerous problems designed to embed good practice in readers, and build underlying reasoning, analysis and problem-solving skills Suitable for advanced high school students preparing for Math Olympiad competitions

Los métodos numéricos son modelos estudiados en matemáticas como una herramienta efectiva a la hora de resolver de problemas, dado que de forma aproximada algunos de estos son imposibles de solucionar analíticamente. Este libro pretende ser el módulo introductorio al estudio de los métodos numéricos y se espera que a lo largo del estudio de este el lector potencie el proceso matemático de aproximar. Como acompañamiento del texto el estudiante podrá acceder a la aplicación móvil MeNuMericos, la cual le permitirá facilitar algunas cuentas y graficar algunas situaciones. Se espera que el lector pueda cuantificar el error, solucionar ecuaciones de variable real y ecuaciones diferenciales, aproximar áreas bajo la curva, derivar sobre un conjunto de datos discreto, interpolar conjuntos de puntos y calcular regresiones.

The two volumes of Engaging Young Students in Mathematics through Competitions present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.Volume I contains a wide variety of fascinating mathematical problems of the type often presented at mathematics competitions as well as papers by an international group of authors involved in problem development, in which we can get a sense of how such problems are created in various specialized areas of competition mathematics as well as recreational mathematics.It will be of special interest to anyone interested in solving original mathematics problems themselves for enjoyment to improve their skills. It will also be of special interest to anyone involved in the area of problem development for competitions, or just for recreational purposes.The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.

'The physical form of this new title is pleasing, including good paper, readable font, and durable binding … The book is not a collection of practical ideas. Rather, it is intended for those curious about pure mathematical tidbits. The flavor is light, as opposed to pedantic. Among the numerous books of this type, this title is significantly better than most. It should be considered for private collections and for libraries that can afford to serve a small, unique readership.Summing Up: Recommended. General readers.'CHOICEThis book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations.The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondary-grade level.Yet, by the same token, the book will hopefully open up doors for those less motivated in mathematics — to interest readers to investigate some of the topics presented and thereby enhance their knowledge of mathematics — something most general readers will not initially find possible, but we hope will be an end product of this book.

Bicycle or Unicycle? is a collection of 105 mathematical puzzles whose defining characteristic is the surprise encountered in their solutions. Solvers will be surprised, even occasionally shocked, at those solutions. The problems unfold into levels of depth and generality very unusual in the types of problems seen in contests. In contrast to contest problems, these are problems meant to be savored; many solutions, all beautifully explained, lead to unanswered research questions. At the same time, the mathematics necessary to understand the problems and their solutions is all at the undergraduate level. The puzzles will, nonetheless, appeal to professionals as well as to students and, in fact, to anyone who finds delight in an unexpected discovery. These problems were selected from the Macalester College Problem of the Week archive. The Macalester tradition of a weekly problem was started by Joseph Konhauser in 1968. In 1993 Stan Wagon assumed problem-generating duties. A previous book written by Wagon, Konhauser, and Dan Velleman, Which Way Did the Bicycle Go?, gathered problems from the first twenty-five years of the archive. The title problem in that collection was inspired by an error in logic made by Sherlock Holmes, who attempted to determine the direction of a bicycle from the tracks of its wheels. Here the title problem asks whether a bicycle track can always be distinguished from a unicycle track. You'll be surprised by the answer.

The William Lowell Putnam Mathematics Competition is the most prestigious undergraduate mathematics problem-solving contest in North America, with thousands of students taking part every year. This volume presents the contest problems for the years 2001–2016. The heart of the book is the solutions; these include multiple approaches, drawn from many sources, plus insights into navigating from the problem statement to a solution. There is also a section of hints, to encourage readers to engage deeply with the problems before consulting the solutions. The authors have a distinguished history of engagement with, and preparation of students for, the Putnam and other mathematical competitions. Collectively they have been named Putnam Fellow (top five finisher) ten times. Kiran Kedlaya also maintains the online Putnam Archive.

This accessible book helps readers to see the bigger picture of advanced mathematics. The book contains carefully selected, challenging problems in an easy-to-follow, step-by-step process. Neither prior preparation nor any mathematical sophistication is required. The authors guide the reader to “train their brain” to think and express themselves in a rigorous, mathematical way, and to extract facts, analyze the problem, and identify main challenges. A firm foundation in a diverse range of topics is presented. Moreover, the authors show how to draw appropriate, true conclusions. Computer support is used to better intuition into discussed problems. The book is designed for self-study. It can be used to bridge the gap between introductory calculus/linear algebra courses and more advanced courses offered at universities. It improves the ability to read, write, and think in a rigorous, mature mathematical fashion. The reader will develop a deeper understanding in preparation to succeed in more advanced course work.Features•The authors employ a six-step process: 1.SOURCE2.PROBLEM3.THEORY4.SOLUTION5.REMARK6.EXERCISES•An Appendix introduces programming in JuliaThis book is also suitable for high school students that are interested in competing in math competitions or simply for people of all ages and backgrounds who want to expand their knowledge and to challenge themselves with interesting questions.

Provide students with a solid foundation in Primary Mathematics with a series aligned to the NSC and adopting a mastery model with a Jamaican context. - Have confidence in resources revised by Jamaican educators in line with the NSC and which follows the exact sequence of the curriculum.- Encourage mastery with Explain boxes containing examples to help mathematical understanding.-Foster an analytical approach to real-life mathematical situations through familiar cultural references in contextualised activities.

Suppose you have five muffins that you want to divide and give to Alice, Bob, and Carol. You want each of them to get 5/3. You could cut each muffin into 1/3-1/3-1/3 and give each student five 1/3-sized pieces. But Alice objects! She has large hands! She wants everyone to have pieces larger than 1/3.Is there a way to divide five muffins for three students so that everyone gets 5/3, and all pieces are larger than 1/3? Spoiler alert: Yes! In fact, there is a division where the smallest piece is 5/12. Is there a better division? Spoiler alert: No.In this book we consider THE MUFFIN PROBLEM: what is the best way to divide up m muffins for s students so that everyone gets m/s muffins, with the smallest pieces maximized. We look at both procedures for the problem and proofs that these procedures are optimal.This problem takes us through much mathematics of interest, for example, combinatorics and optimization theory. However, the math is elementary enough for an advanced high school student.

This book features mathematical problems and results that would be of interest to all mathematicians, but especially undergraduates (and even high school students) who participate in mathematical competitions such as the International Math Olympiads and Putnam Competition. The format is a dialogue between a professor and eight students in a summer problem solving camp and allows for a conversational approach to the problems as well as some mathematical humor and a few nonmathematical digressions. The problems have been selected for their entertainment value, elegance, trickiness, and unexpectedness, and have a wide range of difficulty, from trivial to horrendous. They range over a wide variety of topics including combinatorics, algebra, probability, geometry, and set theory. Most of the problems have not appeared before in a problem or expository format. A Notes section at the end of the book gives historical information and references.

This is the ninth book of problems and solutions from the American Mathematics Competitions (AMC) contests. It chronicles 325 problems from the thirteen AMC 12 contests given in the years between 2001 and 2007. The authors were the joint directors of the AMC 12 and the AMC 10 competitions during that period. The problems have all been edited to ensure that they conform to the current style of the AMC 12 competitions. Graphs and figures have been redrawn to make them more consistent in form and style, and the solutions to the problems have been both edited and supplemented. A problem index at the back of the book classifies the problems into subject areas of Algebra, Arithmetic, Complex Numbers, Counting, Functions, Geometry, Graphs, Logarithms, Logic, Number Theory, Polynomials, Probability, Sequences, Statistics, and Trigonometry. A problem that uses a combination of these areas is listed multiple times. The problems on these contests are posed by members of the mathematical community in the hope that all secondary school students will have an opportunity to participate in problem-solving and an enriching mathematical experience.

A UNIQUE NEW APPROACH THAT'S LIKE A [lightning bolt image] TO THE BRAIN You know that moment when you feel as though a lightning bolt has hit you because you finally get something? That's how this book will make you react. (We hope!) Each chapter makes sure that what you really need to know is clear right off the bat and sees to it that you build on this knowledge. Where other books ask you to memorize stuff, we're going to show you the must know ideas that will guide you toward success in 7th grade math. You will start each chapter learning what the must know ideas behind a math subject are, and these concepts will help you solve the math problems that you find in your classwork and on exams. Dive into this book and find: 250+ practice questions that mirror what you will find in your classwork and on exams A bonus app with 100+ flashcards that will reinforce what you've learned Extensive examples that drive home essential concepts An easy-access setup that allows you to jump in and out of subjects Grade 7 math topics aligned to national and state education standards Special help for more challenging math subjects, including equations, geometry, probability, and statistics We're confident that the must know ideas in this book will have you up and solving math problems in no time—or at least in a reasonable amount of time!

Learn at home with help from the education experts at The Princeton Review! 4TH GRADE AT HOME provides simple, guided lessons and activities that parents can use to help keep 4th graders on track this year.Anxious about remote learning and hybrid schooling? Worried that the unique circumstances around coronavirus and education might keep your child from getting the help they need in class this year? Want to help support your child's schooling, but not sure where to start?You're not alone! 4TH GRADE AT HOME is a parent guide to supporting your child's learning, with help you can undertake from home. It provides: · Guided help for key 4th grade reading and math topics· Skills broken into short, easy-to-accomplish lessons· Explanations for parents, plus independent question sets for kids· Fun at-home learning activities for each skill that use common household items· Parent tips, review sections, and challenge activities seeded throughout the bookThe perfect mix of parent guidance, practical lessons, and hands-on activities to keep kids engaged and up-to-date, 4TH GRADE AT HOME covers key grade-appropriate topics including:· reading comprehension · context, main ideas, and details· plot and setting· cause and effect· addition and subtraction· multiplication and division· fractions and decimals· shapes, symmetry, and patterns· probability... and more!

Learn at home with help from the education experts at The Princeton Review! 2ND GRADE AT HOME provides simple, guided lessons and activities that parents can use to help keep 2nd graders on track this year.Anxious about remote learning and hybrid schooling? Worried that the unique circumstances around coronavirus and education might keep your child from getting the help they need in class this year? Want to help support your child's schooling, but not sure where to start?You're not alone! 2ND GRADE AT HOME is a parent guide to supporting your child's learning, with help you can undertake from home. It provides: · Guided help for key 2nd grade reading and math topics· Skills broken into short, easy-to-accomplish lessons· Explanations for parents, plus independent question sets for kids· Fun at-home learning activities for each skill that use common household items· Parent tips, review sections, and challenge activities seeded throughout the bookThe perfect mix of parent guidance, practical lessons, and hands-on activities to keep kids engaged and up-to-date, 2ND GRADE AT HOME covers key grade-appropriate topics including:· early reading comprehension · context & understanding· event order· fiction & nonfiction· place value· addition and subtraction· multiplication· patterns and shapes· charts & graphs· likelihood... and more!

The two volumes of'Engaging Young Students in Mathematics through Competitions'present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.Volume II contains background information on connections between the mathematics of competitions and the organization of such competitions, their interplay with research, teaching and more.It will be of interest to anyone involved with mathematics competitions at any level, be they researchers, competition participants, teachers or theoretical educators.The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.

Aimed at children of ages 8-14 - these problems are word based problems to use in homework, fund for gifted math students, or for classroom warm-ups. Translated from the Swedish by Malcolm Reid. All real life mathematics is problem solving. You can practise problem solving in different ways. In this book solving problems is practised in a different way from most mathematics books you have seen before: You get no clues to the type of calculation from the title. Some problems may have no solution, whereas others may have many solutions. Sometimes you can find a simple solution, but check very carefully to see if it is right. The problems are designed to be a little extra tricky. The contents are divided into 4 categories with the answers at the back: • problems •• problems (a little harder) ••• problems (can be quite tricky). The week's problem. The week's problems are intended to be solved in groups, pairs or individually at school or maybe at home with the whole family. The other problems are often also best solved in a group. Part B contains harder problems than Part A: but as most problems are language and logic based this is not easy to define. What is easy for one solver can be almost impossible for another, and vice versa. Neither of the parts need advanced mathematical knowledge, but despite this there are problems to which many adults either cannot find a straightforward solution or give the wrong answer (for Part B it is useful if you know what'percent'means).

Unlocking Creativity in Solving Novel Mathematics Problems delivers a fascinating insight into thinking and feeling approaches used in creative problem solving and explores whether attending to ‘feeling'makes any difference to solving novel problems successfully.With a focus on research throughout, this book reveals ways of identifying, describing and measuring ‘feeling'(or ‘intuition') in problem-solving processes. It details construction of a new creative problem-solving conceptual framework using cognitive and non-cognitive elements, including the brain's visuo-spatial and linguistic circuits, conscious and non-conscious mental activity, and the generation of feeling in listening to the self, identified from verbal data. This framework becomes the process model for developing a comprehensive quantitative model of creative problem solving incorporating the Person, Product, Process and Environment dimensions of creativity. In a world constantly seeking new ideas and new approaches to solving complex problems, the application of this book's findings will revolutionize the way students, teachers, businesses and industries approach novel problem solving, and mathematics learning and teaching.

Enable students to construct mathematical models by exploring challenging problems and the use of technology. - Engage and excite students with examples and photos of maths in the real world, plus inquisitive starter activities to encourage their problem-solving skills. - Build mathematical thinking with our'Toolkit'and mathematical exploration chapter, along with our new toolkit feature of questions, investigations and activities. - Develop understanding with key concepts and applications integrated throughout, along with TOK links for every topic. - Prepare your students for assessment with worked examples, extended essay support and colour-coded questions to highlight the level of difficulty and the different types of questions. - Check understanding with review exercise midway and at the end of the textbook. Follows the new 2019 IB Guide for Mathematics: applications and interpretation Standard Level

The Pre-Calculus workbook provides students with an overview of the skills in algebra, functions, trigonometry, analytic geometry, and graphical analysis that are crucial to success in higher-level mathematics, such as calculus. It also constructs a bridge to calculus by providing some introductory insight into sequences and series. Explanations of the concepts, definitions of key vocabulary, and detailed examples of problems and solutions are followed by practice exercises. The Middle/Upper Grades Math Series books provide students in middle school, junior high, and high school with instruction and practice in the fundamentals of math so they can transition to higher-order math concepts with confidence. Clear explanations, numerous practice exercises, and frequent reviews provide students with the tools for success in pre-algebra, algebra, statistics and probability, and pre-calculus. Correlated to current national, state, and provincial standards. Mark Twain Media Publishing Company specializes in providing engaging supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, the product line covers a range of subjects including mathematics, sciences, language arts, social studies, history, government, fine arts, and character.

The Word Problems Quick Starts workbook progresses from basic to challenging and requires students to use a variety of problem-solving strategies and mathematical reasoning, such as working backwards, guess and check, drawing a diagram, and more. Topics covered include whole numbers, decimals, fractions, percents, money, measurement, geometry, and more. Each page features two to four quick starts that can be cut apart and used separately. The entire page may also be used as a whole-class or individual assignment. The Quick Starts Series provides students in grades 4 through 8+ with quick review activities in science, math, language arts, and social studies. The activities provide students with a quick start for the day's lesson and help students build and maintain a powerful domain-specific vocabulary. Each book is correlated to current state, national, and provincial standards. Mark Twain Media Publishing Company specializes in providing engaging supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, the product line covers a range of subjects including mathematics, sciences, language arts, social studies, history, government, fine arts, and character.

This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.

This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge colleges as the basis for conditional offers. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination.'Advanced Problems in Mathematics'is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. Each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics.

Strengthen your child's math skills with Making the Grade Math for Grade 3. Created especially to follow state learning standards, this workbook provides practice for these essential skills: multiplication and division, fractions, and finding area and perimeter. Using an easy-to-follow approach, this math workbook for third grade will help your child create the strong foundation in math he or she needs to learn, practice, and apply basic skills. Making the Grade Math books will engage your child with appealing, colorful activities while providing high-quality practice to support basic skills. With the Making the Grade series, you can be confident that you'll choose the perfect workbook to reinforce the skills your child is learning in class. Each workbook in the Making the Grade series includes 48 pages that are full of standards-based activities featuring simple instructions and an answer key. The series offers grade-specific titles for these main school subject areas: Reading (PK–Grade 5), Math (PK–Grade 5), Basic Skills (PK–Grade 2), and Handwriting (K–Grade 5)

Get the knowledge and skills you need to solve math problems with confidence!This book won't overwhelm you with endless drills. Instead, it offers an original, step-by-step approach to learning math. The book will first introduce you to essential math concepts—allowing you to grasp the subject almost immediately. You will gradually progress to more challenging skills. Along the way, you will learn how to solve practical problems using clear, step-by-step instructions. Exercises for each section, with detailed, worked-out solutions, let you check your progress. In no time at all, you will have acquired the knowledge and skills you need to solve math problems with confidence!Features•A unique building-block approach to mastering math•Down-to-earth explanations of important rules and concepts•Sample problems that are carefully explained—step by step•Exercises that will allow you to practice what you've learned and measure your progress•Insights on how to avoid common mistakes

Cet ouvrage récapitule toutes les mathématiques apprises dans l'enseignement secondaire qu'il faut maîtriser pour débuter une licence scientifique à l'Université (maths, physique, chimie). Il s'inscrit dans le processus de renforcement des étudiants, en première année, dans le cadre des admissions dans ParcourSup.Il reprend les éléments de logique et de raisonnement, toutes les formules importantes, tous les grands théorèmes vus au lycée en algèbre, analyse, géométrie et probabilités. Chaque fiche contient : Des rappels de cours: définitions, théorèmes, formules importantes.Des points de méthodologie et des conseils.Des exemples pour illustrer les notions ou apprendre à résoudre les questions.Des exercices et leurs corrigés détaillés.

This rich collection of fully worked problems in many areas of mathematics covers all the important subjects students are likely to encounter in their courses, from introductory to final-year undergraduate classes. Because lecture courses tend to focus on theory rather than examples, these exercises offer a valuable complement to classroom teachings, promoting the understanding of mathematical techniques and helping students prepare for exams. They will prove useful to undergraduates in mathematics; students in engineering, physics, and chemistry; and postgraduate scientists looking for a way to refresh their skills in specific topics.The problems can supplement lecture notes and any conventional text. Starting with functions, inequalities, limits, differentiation, and integration, topics encompass integral inequalities, power series and convergence, complex variables, hyperbolic function, vector and matrix algebra, Laplace transforms, Fourier series, vector calculus, and many other subjects.

Mathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Ross Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. The book is a mathematical entertainment to be read at a leisurely pace. High school mathematics should equip the reader to handle the problems presented in the book. The topics are entirely independent and can be read in any order. A useful set of indices helps the reader locate topics in the text.

A TeXas Style Introduction to Proof is an IBL textbook designed for a one-semester course on proofs (the “bridge course”) that also introduces TeX as a tool students can use to communicate their work. As befitting “textless” text, the book is, as one reviewer characterized it, “minimal.” Written in an easy-going style, the exposition is just enough to support the activities, and it is clear, concise, and effective. The book is well organized and contains ample carefully selected exercises that are varied, interesting, and probing, without being discouragingly difficult.