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These papers in applied mathematics have been carefully selected by a joint committee of the AMS, the Association for Symbolic Logic (ASL), and the Institute of Mathematical Statistics (IMS) from publications not otherwise translated into English. The translated papers are carefully edited prior to publication.

This collection of papers ranges over several areas of research, including matrix theory, group theory, functional analysis, Morse theory, global analysis, and probability theory.

Papers focus on topics in matrix theory and generalized complex function theory.

Papers covering topics including information science, Lie algebras, group theory, matrix theory, and number theory.

Topics include group representations, $p$-classes, approximation of functions, entire functions, the Laplace operator, and von Neumann algebras

Topics include algebraic geometry, partial differential equations, Fourier analysis, functional analysis, operator theory, differential geometry, and global analysis

Topics include nonclassical logic, entire functions, operator algebras, and the theory of programming.

Covers a variety of topics including modal logic, arithmetic algebraic geometry, orthogonal polynomials, stochastic matrices, and computing theory

Focuses primarily on topics in algebra and topology.

This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's sixty-fifth birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science. In addition, Klee made important contributions to mathematics education, mathematical methods in economics and the decision sciences, applications of discrete mathematics in the biological and social sciences, and the transfer of knowledge from applied mathematics to industry. In honor of Klee's achievements, this volume presents more than forty papers on topics related to Klee's research. While the majority of the papers are research articles, a number of survey articles are also included. Mirroring the breadth of Klee's mathematical contributions, this book shows how different branches of mathematics interact. It is a fitting tribute to one of the foremost leaders in discrete mathematics.

Understanding math has never been easier.Combining bold, elegant graphics with easy-to-understand text, Simply Math is the perfect introduction to the subject for those who are short on time but hungry for knowledge.Covering more than 80 key mathematical theories from prime numbers and matrices to logarithms and quadratic equations, each pared-back, single-page entry explains the concept more clearly than ever before.Organized by major themes - number theory and systems; algebra, arithmetic, and calculus; probability and statistics; geometry and topology; logic, game theory, and computer science - entries demystify the groundbreaking ideas of famous mathematicians such as Pythagoras, Pierre de Fermat, Fibonacci, and Henri Poincaré, explaining the essentials of each key mathematical theory.Whether you are studying math in high school or college, or simply want a jargon-free overview of the subject, this indispensable guide includes everything you need to understand the basics quickly and easily.

Get hands-on with 27 creative projects and experiments that will turn you into a math whiz.Explore the exciting world of numbersWhether you're a math geek or prefer practical hands-on projects, this ebook combines creativity with calculations. You don't have to be a genius or even need a calculator. Each of the super-fun make-and-do projects in this ebook comes with simple step-by-step photographs and instructions that will help you whip up a cool math creation.Perfect for kids who are interested in STEM (science, technology, engineering, and math), Math Maker Lab features activities that cover many aspects of math, including numbers, measurement, and geometry. You'll combine art and math by drawing impossible objects, create beautiful patterns to make a times-table dream catcher, and perfect the ratio for making refreshing fruit drinks. Throughout the ebook, explanatory boxes show you how the math works and how the skills you've learned can be used in the real world.Math Maker Lab is the perfect for curious kids who are interested in taking the mystery out of math.

Bring math to life with this exciting new math activity book for kids.With 30 activities and crafts that children can play their way through, this kids'book takes the fear out of math--and gives you the skills to become a math expert. Children will find out that being a mathematician isn't just about scrawling numbers on a dusty chalkboard--it's part of our everyday lives! How to Be a Math Wizard teaches kids to think like math pros as they ask mathematical questions and get hands-on with key math concepts. From calculation and numbers; to space, shape, and measure; all core curriculum math topics are covered in creative and engaging ways.This book invites kids to investigate math in a playful, hands-on way, using things from around the house: find out about perimeter by designing and building a mini house, practice multiplication through a game of bingo, sweeten probability through chocolate, and uncover the mystery of coordinates through a treasure map.If you like solving problems, making things, and learning facts, then this is the book for you, mathematician!

The Simplex algorithm is one of the most important algorithms in discrete optimization, and is the most used algorithm for solving linear programs in practice. In the last 50 years, several pivot rules for this algorithm have been proposed and studied. For most deterministic pivot rules, exponential lower bounds were found, while a probabilistic pivot rule exists that guarantees termination in expected subexponential time. One deterministic pivot rule that is of special interest is Zadeh's pivot rule since it was the most promising candidate for a polynomial pivot rule for a long time. In 2011, Friedmann proved that this is not true by providing an example forcing the Simplex algorithm to perform at least a subexponential number of iterations in the worst case when using Zadeh's pivot rule. Still, it was not known whether Zadeh's pivot rule might achieve subexponential worst case running time. Next to analyzing Friedmann's construction in detail, we develop the first exponential lower bound for Zadeh's pivot rule. This closes a long-standing open problem by ruling out this pivot rule as a candidate for a deterministic, subexponential pivot rule in several areas of linear optimization and game theory.

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.

This playful preschool math activity book will unleash your child's curiosity as they play their way through 20 fantastic math projects.Each easy step-by-step activity is hands-on and practical to encourage budding mathematicians to use their senses. Look I'm A Mathematician explores essential math topics to get children prepared for school - the perfect math book for kids ages 3 to 6.Look I'm A Mathematician is full of activities to show young readers just how much fun math can be!Children will discover that math has a part in everything in the world and that they already have the tools they need to become magical mathematicians - a curious mind, unlimited imagination, and super senses. A great introduction to learning math, this book teaches kids the magic of numbers through play with number bugs, creating a hungry adding robot, learning about subtraction by playing skittles, crafting 3D shape aliens, and even making a repeating pattern fruit wand. Covering a comprehensive range of math topics, from counting and numbers to shape and size, and measurements and time, this is the perfect first math book for children. Every fun project features a mixture of bright photography and charming illustrations that support the easy-to-follow activity instructions. These creative hands-on activities support classroom math taught in schools.Look I'm A Mathematician allows little readers to do what they do best - imagine, create, learn, problem-solve, and play their way to math magic!Try Out Amazing Projects!You don't need a fancy calculator or a whiteboard full of big numbers to be a mathematician. You already have everything you need - your amazing brain and your senses!Look I'm A Mathematician is full of puzzles to solve, things to work out, and brain teasers. This educational book is full of fun math activities for kids like: - A math treasure hunt- Making shape aliens- Measuring things- Clever counting - And much, much more!DK's Look! I'm Learning series of exciting and educational STEM books, focus on the sensory experience of practical learning and play. Hands-on learning experiences tap straight into kids'insatiable curiosity and sense of wonder. These books for children are perfect for ages 3 - 6, formatted with a padded cover and toddler-tough pages. The series encourages children to develop independence and improves their critical thinking, investigation skills, and motor skills. Try the other titles in the series next, including Look I'm A Cook, Look I'm A Scientist, and Look I'm An Engineer.

This book describes mini-courses in a Mathematical “Circle,” i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the third volume in a trilogy describing in particular the S.M.A.R.T. Circle project, which was founded in Edmonton, Canada in 1981. The acronym S.M.A.R.T. stands for Saturday Mathematical Activities, Recreations & Tutorials.This book, Volume III, consists of mini-courses and explains what actually takes place in the Circle. Volume I describes how to run a Circle, and Volume II, consisting of student projects, addresses the purpose of the Circle. All three volumes provide a wealth of resources (mathematical problems, quizzes and games, together with their solutions). The books will be of interest to self-motivated students who want to conduct independent research, teachers who work with these students, and teachers who are currently running or planning to run Mathematical Circles of their own.

PLEASE NOTE - this is a replica of the print book, but you will be able to download printable worksheets on purchase. Perfect for kindergarteners, this workbook introduces children ages 5-6 to solving simple math problems. Specific topics covered include working with numbers up to 20, 2D and 3D shapes, addition and subtraction, comparing sizes, and picture graphs.Developed in consultation with leading educational experts to support curriculum learning, DK Workbooks: Problem Solving is an innovative series of home-learning math workbooks that is closely linked to school curriculum and helps make learning easy and fun.Each title is packed with exercises and activities to strengthen what children learn in school. With clear questions and supportive illustrations to help children understand each topic, the books provide practice to reinforce learning and understanding of key concepts, such as fractions, times tables, and shapes. A parents'section contains answers, tips, and guidance to provide support, and a certificate of achievement will reinforce confidence in kids by rewarding their accomplishments.

This volume is devoted to the 25-year-old Voronezh Winter Mathematical School and to the scientific work of its founder, Selim Krein. The Voronezh Winter Mathematical School was a unique annual event in the scientific life of the former Soviet Union. Over the years it attracted thousands of mathematicians, from undergraduates to world-renowned experts, and played a major role in spreading information about cutting edge results of mathematical research, triggering cooperation and educating new generations of mathematicians. The articles in this book, written by prominent mathematicians and former lecturers and participants of the school, cover a wide range of subjects in analysis and geometry, including global analysis, harmonic analysis, function theory, operator theory, spectral theory, dynamical systems, mathematical physics, homogenization, algebraic geometry, differential geometry, and geometric analysis.

Numbers create the structure to our universe. Without numbers, computers would not work and cars would not go. There would be no way to quantify things. You wouldn't be able to ask'How many?'or'How much?'We would not understand time or distance. Sports records wouldn't matter! DK's Go Figure! is a math book filled with the weird and wonderful side of math and numbers.Discover why there are 60 minutes in an hour, why daisies have to have 34, 55, or 89 petals, and why finding a prime number could make you a millionaire. Go Figure! is also packed with activities that children can try out on their own or with friends, including brainteasers, magic tricks, and things to make, while also learning about the simple puzzles that stumped the world's brainiest mathematicians for centuries. Go Figure! is a fun and quirky look at the magical world of numbers, without the effort of a math textbook.Reviews:'A dynamic book filled with puzzles and problems to solve.'- School Library Journal'A totally cool book about numbers by Johnny Ball convinces young readers that math is far from boring.'- Think & Discover'Give it to teachers at many levels, who will want to borrow from Ball's pedagogical toolbox.'- Booklist

Nearly half of adults, including parents of middle-school students, have never heard of the Common Core State Standards, let alone have a working knowledge of what exactly their children face when it comes to middle-school math. Even teachers acknowledge struggling with how best to teach their students these math standards.CliffsNotes comes to the rescue with this Grade 7 Common Core Math Review. Aligned to the state standards, this book provides essential coverage of the Grade 7 CCSS math that's challenging middle-school students, teachers, and parents alike.The material covers all of the math standards that comprise Grade 7 CCSS math: • Ratios and proportional relationships • The number system • Geometry • Expressions and equations • Statistics and probabilityTwo practice tests round out the book, plus every review chapter includes example problems.

The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.

In this book, the authors for the first time have ventured to study, analyse and investigate fuzzy and neutrosophic models and the experts opinion. To make such a study, innovative techniques and defined and developed. Several important conclusions about these models are derived using these new techniques. Open problems are suggested.

Study of algebraic structures built using [0, n) looks to be one of interesting and innovative research. Here we define two types of groupoids using [0, n), both of them are of infinite order. It is an open conjecture to find whether this new class of groupoids satisfy any of the special identities like Moufang identity or Bol identity and so on.

In this book authors introduce the notion of finite complex modulo integer intervals. Finite complex modulo integers was introduced by the authors in 2011. Now using this finite complex modulo integer intervals several algebraic structures are built.

This book brings out how sets in algebraic structures can be used to construct the most generalized algebraic structures, like set linear algebra / vector space, set ideals in groups and rings and semigroups, and topological set vector spaces. This sort of study is innovative and will find applications in data handling.

The valuable test prep guide—now in an updated edition Includes subject review chapters for every subject covered on the test3 full-length tests with complete answer explanations

'This tutorial-style textbook develops the basic mathematical tools needed by first and second year undergraduates to solve problems in the physical sciences. Students gain hands-on experience through hundreds of worked examples, self-test questions and homework problems. Each chapter includes a summary of the main results, definitions and formulae. Over 270 worked examples show how to put the tools into practice. Around 170 self-test questions in the footnotes and 300 end-of-section exercises give students an instant check of their understanding. More than 450 end-of-chapter problems allow students to put what they have just learned into practice. Hints and outline answers to the odd-numbered problems are given at the end of each chapter. Complete solutions to these problems can be found in the accompanying Student Solutions Manual. Fully-worked solutions to all problems, password-protected for instructors, are available at www.cambridge.org/foundation'--

Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the “math inside” understandable and enjoyable. An additional attractive feature is the leisurely treatment of some hot topics that have gained prominence in recent years, such as Fermat's Theorem, Kepler's packing problem, and the solution of the Poincaré Conjecture. Or maybe you have heard about the Nash equilibrium (of “A Beautiful Mind” fame), or the strange future of quantum computers, and want to know what it is all about? Well, open the book and take an up-to-date trip into the fascinating world of the mathematics all around us.

“It is difficult to define the genre of the book. It is not a problem book, nor a textbook, nor a ‘book for reading about mathematics'. It is most of all reminiscent of a good lecture course, from which a thoughtful student comes away with more than was actually spoken about in the lectures.” —from the Preface by A. S. Merkurjev If you are acquainted with mathematics at least to the extent of a standard high school curriculum and like it enough to want to learn more, and if, in addition, you are prepared to do some serious work, then you should start studying this book. An understanding of the material of the book requires neither a developed ability to reason abstractly nor skill in using the refined techniques of mathematical analysis. In each chapter elementary problems are considered, accompanied by theoretical material directly related to them. There are over 300 problems in the book, most of which are intended to be solved by the reader. In those places in the book where it is natural to introduce concepts outside the high school syllabus, the corresponding definitions are given with examples. And in order to bring out the meaning of such concepts clearly, appropriate (but not too many) theorems are proved concerning them. Unfortunately, what is sometimes studied at school under the name “mathematics” resembles real mathematics not any closer than a plucked flower gathering dust in a herbarium or pressed between the pages of a book resembles that same flower in the meadow besprinkled with dewdrops sparkling in the light of the rising sun.

Includes index.

Explores the functions of math in daily life, as well as its role as a tool for measurement, data analysis, and technological development. This illustrated set also explains basic concepts of math and geometry, and provides information on historical milestones, notable mathematicians, and today's career choices. Each volume includes photos, illustrations, sidebars, bibliographies, and a glossary.

This is the English translation of the book originally published in Russian. It contains 20 essays, each dealing with a separate mathematical topic. The topics range from brilliant mathematical statements with interesting proofs, to simple and effective methods of problem-solving, to interesting properties of polynomials, to exceptional points of the triangle. Many of the topics have a long and interesting history. The author has lectured on them to students worldwide. The essays are independent of one another for the most part, and each presents a vivid mathematical result that led to current research in number theory, geometry, polynomial algebra, or topology.

This is the translation from the Japanese textbook for the grade 11 course, “General Mathematics”. It is part of the easier of the three elective courses in mathematics offered at this level and is taken by about 40% of students. The book covers basic notions of probability and statistics, vectors, exponential, logarithmic, and trigonometric functions, and an introduction to differentiation and integration.

This is the translation from the Japanese textbook for the grade 10 course, “Basic Mathematics”. The book covers the material which is a compulsory for Japanese high school students. The course comprises algebra (including quadratic functions, equations, and inequalities), trigonometric functions, and plane coordinate geometry.