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These notes were prepared in conjection with the NSF Regional Conference on measure algebras held at the University of Montana during the week of June 19, 1972. The original objective in preparing these notes was to give a coherent detailed, and simplified presentation of a body of material on measure algebras developed in a recent series of papers by the author. This material has two main thrusts: the first concerns an abstract characterization of Banach algebras which arise as algebras of measures under convolution (convolution measure algebras) and a semigroup representation of the spectrum (maximal ideal space) of such an algebra; the second deals with a characterization of the cohomology of the spectrum of a measure algebra and applications of this characterization to the study of idempotents, logarithms, and invertible elements. As the project progressed the original concept broadened. The final product is a more general treatment of measure algebras, although it is still heavily slanted in the direction of the author's own work.

The use of the differential geometry of a Riemannian space in the mathematical formulation of physical theories led to important developments in the geometry of such spaces. The concept of parallelism of vectors, as introduced by Levi-Civita, gave rise to a theory of the affine properties of a Riemannian space. Covariant differentiation, as developed by Christoffel and Ricci, is a fundamental process in this theory. Various writers, notably Eddington, Einstein and Weyl, in their efforts to formulate a combined theory of gravitation and electromagnetism, proposed a simultaneous generalization of this process and of the definition of parallelism. This generalization consisted in using general functions of the coordinates in the formulas of covariant differentiation in place of the Christoffel symbols formed with respect to the fundamental tensor of a Riemannian space. This has been the line of approach adopted also by Cartan, Schouten and others. When such a set of functions is assigned to a space it is said to be affinely connected. From the affine point of view the geodesics of a Riemannian space are the straight lines, in the sense that the tangents to a geodesic are parallel with respect to the curve. In any affinely connected space there are straight lines, which we call the paths. A path is uniquely determined by a point and a direction or by two points within a sufficiently restricted region. Conversely, a system of curves possessing this property may be taken as the straight lines of a space and an affine connection deduced therefrom. This method of departure was adopted by Veblen and Eisenhart in their papers dealing with the geometry of paths, the equations of the paths being a generalization of those of geodesics by the process described in the first paragraph. In presenting the development of these ideas Eisenhart begins with a definition of covariant differentiation which involves functions $L^i_{jk}$ of the coordinates, the law connecting the corresponding functions in any two coordinate systems being fundamental. Upon this foundation a general tensor calculus was built and a theory of parallelism.

Taking an exploratory rather than a dogmatic approach to the problem, this book pulls together materials bearing on casual inference that are widely scattered in the philosophical, statistical, and social science literature. It is written in nonmathematical terms, and it is imaginative and sophisticated from both a theoretical and a statistical point of view.Originally published in 1964.A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.

Fun-crazy Kim Rumshaw refused to wall herself away from any available men just because she was engaged to Howard Massey. So when gangster Eddie Tarino invited her to play love games on his yacht, she was eager and willing to go. Later Kim wa just as eager to forget the whole affair. But Tarino had other plans. And when Massey was beaten up and her aunt threatened, she turned to private detective Rod Striker for help. Rod sent his curvaceous partner, Myra, as a decoy to lure Tarino away from Kim. But she turned up a game of international intrigue that left her fighting for more than her virtue!

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This book is the result of extending and deepening all questions from algebraic geometry that are connected to the central problem of this book: the determination of the tritangent planes of a space curve of order six and genus four, which the author treated in his Colloquium Lecture in 1928 at Amherst. The first two chapters recall fundamental ideas of algebraic geometry and theta functions in such fashion as will be most helpful in later applications. In order to clearly present the state of the central problem, the author first presents the better-known cases of genus two (Chapter III) and genus three (Chapter IV). The case of genus four is discussed in the last chapter. The exposition is concise with a rich variety of details and references.

Deep Down Things explores common threads that characterize Catholicism. The contributors look successively at Catholic culture and everyday life of the parish and of work, Catholic culture and the imaginative life of poets and fiction writers, and Catholic culture and postmodern life where individual conscience, skepticism, and relativism challenge Church authority and faith itself. They do so while looking for foundational components that persist and comprise a culture that Catholics recognize regardless of their diverse ethnicities, geographic locations, or historical epochs. The authors of this collection have aimed to inspire both Catholics and non-Catholics alike, inside and outside the academic community, to deepen their own knowledge and appreciation of the Christian tradition generally and Catholic culture particularly. They hope to encourage sincere and open dialogue about Catholic culture (in the best tradition of Catholic thought) both to further the inquiry after truth and to enhance fruitful reflection upon Catholic culture and its contributions over time and across cultures.

Advances in Geophysics

Wyndham Lewis (1884-1957) was a extraordinarily versatile writer as well as a distinguished draughtsman and painter. In this 1955 study, E. W. F. Tomlin contributes to the renewed interest in Lewis's writing and painting during the 1950s. Tomlin discusses the novels, notably the Childermass trilogy, the works of speculative thought which include Time and Western Man and The Art of Being Ruled, the critical and satirical works and Lewis's two autobiographical volumes: Blasting and Bombardiering and Rude Assignment. Tomlin concludes that'difficult as Lewis may be to classify, he represents the kind of figure who appears every so often [...] in the English tradition. There are certain affinities with [William] Blake. Although no two tempreraments appear so different, Blake's social isolation, his struggle for the recognition of his art, his pungent pamphleteering, his'ready-made'genius, and finally his'openness', are characteristics which Lewis shares.'A volume in the Writers and Their Work series, which draws upon recent thinking in English studies to introduce writers and their contexts. Each volume includes biographical material, an examination of recent criticism, a bibliography and a reappraisal of a major work by the writer.

The writings of Winston Churchill (1874-1965) describe the history his decisions as war-time Prime Minister acted upon. In this generous and vivid 1956 study, John Connell argues that Churchill is the first among the Europeans who have stood for civilization in the tragic disruption of Europe during the first half of the twentieth-century. A volume in the Writers and Their Work series, which draws upon recent thinking in English studies to introduce writers and their contexts. Each volume includes biographical material, an examination of recent criticism, a bibliography and a reappraisal of a major work by the writer.

Although well known to experts in English literature, Guilpin's Skialetheia has been available only in inadequate texts until now. This edition of the 1598 work presents an old-spelling critical text and provides and introduction and commentary on the text. These seventy epigrams and seven formal verse satires display the peculiarly negative, malicious tone associated with English literature of the time.Originally published 1974.A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.

This book is a standard in this area of mathematics and is invaluable for historical background.

Lefschetz's Topology was written in the period in between the beginning of topology, by Poincaré, and the establishment of algebraic topology as a well-formed subject, separate from point-set or geometric topology. At this time, Lefschetz had already proved his first fixed-point theorems. In some sense, the present book is a description of the broad subject of topology into which Lefschetz's theory of fixed points fits. Lefschetz takes the opportunity to describe some of the important applications of his theory, particularly in algebraic geometry, to problems such as counting intersections of algebraic varieties. He also gives applications to vector distributions, complex spaces, and Kronecker's characteristic theory.

Morse theory is a study of deep connections between analysis and topology. In its classical form, it provides a relationship between the critical points of certain smooth functions on a manifold and the topology of the manifold. It has been used by geometers, topologists, physicists, and others as a remarkably effective tool to study manifolds. In the 1980s and 1990s, Morse theory was extended to infinite dimensions with great success. This book is Morse's own exposition of his ideas. It has been called one of the most important and influential mathematical works of the twentieth century. Calculus of Variations in the Large is certainly one of the essential references on Morse theory.

This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.

Since its original publication in 1940, this book has been revised and modernized several times, most notably in 1948 (second edition) and in 1967 (third edition). The material is organized into four main parts: general notions and concepts of lattice theory (Chapters I–V), universal algebra (Chapters VI–VII), applications of lattice theory to various areas of mathematics (Chapters VIII–XII), and mathematical structures that can be developed using lattices (Chapters XIII–XVII). At the end of the book there is a list of 166 unsolved problems in lattice theory, many of which still remain open. It is excellent reading, and … the best place to start when one wishes to explore some portion of lattice theory or to appreciate the general flavor of the field. —Bulletin of the AMS

The first three chapters of this work contain an exposition of the Wedderburn structure theorems. Chapter IV contains the theory of the commutator subalgebra of a simple subalgebra of a normal simple algebra, the study of automorphisms of a simple algebra, splitting fields, and the index reduction factor theory. The fifth chapter contains the foundation of the theory of crossed products and of their special case, cyclic algebras. The theory of exponents is derived there as well as the consequent factorization of normal division algebras into direct factors of prime-power degree. Chapter VI consists of the study of the abelian group of cyclic systems which is applied in Chapter VII to yield the theory of the structure of direct products of cyclic algebras and the consequent properties of norms in cyclic fields. This chapter is closed with the theory of $p$-algebras. In Chapter VIII an exposition is given of the theory of the representations of algebras. The treatment is somewhat novel in that while the recent expositions have used representation theorems to obtain a number of results on algebras, here the theorems on algebras are themselves used in the derivation of results on representations. The presentation has its inspiration in the author's work on the theory of Riemann matrices and is concluded by the introduction to the generalization (by H. Weyl and the author) of that theory. The theory of involutorial simple algebras is derived in Chapter X both for algebras over general fields and over the rational field. The results are also applied in the determination of the structure of the multiplication algebras of all generalized Riemann matrices, a result which is seen in Chapter XI to imply a complete solution of the principal problem on Riemann matrices.

Recovering drug addict Noah struggles to keep his clarity--and sanity--in a dangerous world, as he plays a sinister game with the seductive couple next door, his coworkers, his family, and all those around him. _Someone is out for blood--but who? _A careful snare is being set up--but to capture who? Which is hunter, and which is game? _Noah sloshes through a maze of deceit, revolvers, duct tape, and assorted bodily fluids, desperate to navigate and manipulate through an unknowable, obscure, and sometimes faithless world. _ Having Had is a funny, suspenseful, and chilling story of psychological suspense that probes the lies within truth, and the truth within lies._ The brutally endearing narrator takes the reader on a wild excursion into addiction and recovery, light and dark, despair and exhilaration, sweeping towards an unexpected and twisted climax.

From the Introduction: This book will presumably cause at first a doubtful shaking of heads among some of its readers, by other it will perhaps be laid aside without due consideration because of its'quite impossible'statements. Of what do these'quite impossible'statements consist? Dr. Pfeiffer says that by means of his method crystallization–without taking into consideration the plant or the human being under investigation–far-reaching conclusions can be drawn about the the nature of their constitution. The Researching of human blood according to his method permits a judgment of the bodily condition of the owner of the blood and to a certain degree also of his mental state, especially in recognizing conditions of congestion, inflammation, of tuberculosis, sclerosis, cancer and many other diseases. It not only permits the researcher to'read'in the crystallization plate of the existence of diseases, but also to find the location of the disease in the body. He further states that his method permits the testing of remedies–whether they should or should not be employed–before they are tried on the patient. That sounds indeed unbelievable at first glance. Especially the statement–to all appearances fantastic–that the crystallization picture enables the determination of the locality of the diseases. It compels us to suppose that the blood–indeed every drop of blood–pars pro toto (as the part so the whole)–reflects not only the entire bodily condition and all its essential pathological chugs, but also that it contains formative forces which direct the crystallizations in such a way that the plate offers in a certain sense a topographical image of the body in which we can behold as, in a magic mirror, everything of importance.

Marseilles, France…August, 1940 The Gestapo's blacklist was thousands of names long…How many people could he get out before Hitler sealed the frontiers? Varian Fry didn't know any more about being an undercover agent than what he'd seen in the movies. But, he was the one man who could get into Vichy France, where thousands of people had fled Hitler's Germany. Unless he could get them out, they'd be trapped-turned back to the concentration camps and death camps. An exciting, true story of World War II - Varian Fry describes the methods he used to get thousands of hunted men and women to safety.

Advances in Catalysis

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Spaces of Fundamental and Generalized Functions, Volume 2, analyzes the general theory of linear topological spaces. The basis of the theory of generalized functions is the theory of the so-called countably normed spaces (with compatible norms), their unions (inductive limits), and also of the spaces conjugate to the countably normed ones or their unions. This set of spaces is sufficiently broad on the one hand, and sufficiently convenient for the analyst on the other. The book opens with a chapter that discusses the theory of these spaces. This is followed by separate chapters on fundamental and generalized functions, Fourier transformations of fundamental and generalized functions, and spaces of type S.

'To be reminded in a utilitarian, materialistic age that the ideals of the Greek mind can quicken culture, even today, is refreshing to heart and soul.'–R. M. Querido The Christian civilization of the Western would is built on two colums: the heritages of the Old Testament and that of Hellas. This has been know since the days Clement of Alexandria, the found of the first Christian philosophy in the second century A.D., who was by descent a Greek and by faith a Christian. Clement appraised the dialectic of Plato and the metaphysics of Aristotle to be equally significant with the Genesis of Moses and the books of the prophets. In placing the message of the Greeks on the same level as the revelation of the Old Testament, he laid the cornerstone for building a true hhistory of the mission of Hellas. In fact, it is an integral part of the task of this book to show that besides the events in the lives of the Hebrews there was nothing that more immediately prepared humanity for the coming of Christ than what lived in the spirit of Hellas. Hence, the story of the heathen heritage becomes the Gospel of Hellas.

Of particular importance to day... at a time when progress at the molecular and biochemical level and advances in genetics are opening up new vistas of information. This is a reference book which will serve as the first line approach to rare diseases. Thoroughly indexed so that major signs and symptom.s will provide the necessary clues. The book vividly demonstrate s that eponymic designation is rarely awarded for the earliest or best description of a condition. The multitude of eponyms under which many diseases masquerade and the increasing specialization of divers e fields of medicine hinder s the m.edical comprehension of many diseases. The author gives practical suggestions to rectify this difficulty. A majority of the diseases described and discussed herein are taken from. The author's per s 0'1 a 1 experiences. While designed for those with som.e experience (it should guide the novice in his further search for the understanding which) with continued diligence) may help ripen into clinical wisdom.

In addition to the photomicrographs, text material in each chapter points out characteristic features of the dog and introduces pertinent differences and similarities to other animals and man. To orient the reader to the gross anatomical relationships, diagrammatic line drawings of each system are included. These are marked with the plane of section and the area from which the photomicrographs were made. A comprehensive bibliography is included.

In this 1959 study, John Barron Mays presents the results of a novel piece of social research through which he seeks to demonstrate that a better start in life can be given to children being brought up in a substandard social environment by mobilising voluntary and public social services. The focus is the development of a new kind of boys'club. A preface is provided by T. S. Simey of The University of Liverpool.

This international symposium, which marks the centenary of the invention of margarine, surveys the rise of the edible fats industry from its beginnings in France and the Netherlands to its present position as one of the most important strategic industries. Its relation to agriculture is dealt with particularly by K. E. Hunt, who considers the production and marketing of the various oil-bearing plants and animal fats, together with the effects of international trade and government policies on these agricultural products. Aspects of marketing and government intervention relating to margarine are developed by R. D. Tousley and /. H. van Stuyvenberg, including problems of competition with butter.

Tennyson's position as the official Victorian Bard and his popularity with his contemporaries did his posthumous reputation no good. The Laurel Crown identifies him with the myth of'Victoriamism'. Besides, he was a romantic poet, introverted and solitary by temperament, and moodily musical in his poetic talent: his place as the Laureate must, a later generation decided, have been a bought place, bought at the price of his poetic integrity. Miss Pitt suggests that this is a picture out of focus. Tennyson was a successful Laureate precisely because he was a Romantic poet, sensitive to the terror of change and formlessness which law behind the facade of Victorian respectability. The Laureate passion for social, even for domestic order, and the sense of a moral and prophetic mission were not, in Tennyson, a denial of the mystical intuitiveness of his youth. On the contrary, they represent the attempt, though not always the successful attempt, to communicate to his own generation the sense of order in chaos which was the fruit of his own experience in the death of Arthur Hallam. Tennyson discovered the shape of emotional experience through experience, and this brooding over his own intuitions, the brooding of them into shape, is the secret of his method as a poet.

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Summary unavailable at this time.

Language: Hebrew. The author presents in this work, which is based on an exhaustive study of the sources by means of philological-historical methods, a vivid picture of the religious and social thoughts of the Tanna'im and Amora'im, their absorption and rejection of extraneous concepts, their spiritual struggles and the goals they sought to achieve. The intellectual ferment marking this era crystallized principles that fashioned the Jewish national and religious image for generations. The wisdom of the great Jewish teachers of antiquity is on display here like in no other book. Two indexes (one by topic, one by texts mentioned help the reader make use of the many obscure texts that Urbach quotes, some of them virtually impossible to find in translation anywhere. The sheer wealth of material collected in this volume is amazing. The book is well organized by'doctrine'or belief, and Urbach does an excellent job of quoting the texts that he uses to come to his conclusions.

Who do you turn to when life hurts? Someone who has'been there.'Facing divorce, addiction, and abuse—both in and out of the church—Pastor Paul Coneff searched for answers to why so many Christians were not experiencing the good news Jesus offered. What Paul found was a gospel able to meet humanity in the midst of its deepest pains and darkest sins—hidden in plain sight! Now you can discover how Jesus Christ suffered “in every way” like you have: Lonely? Jesus was abandoned by His closest friends.Betrayed? Jesus was betrayed for the price of a slave.Abused? Jesus was physically and verbally abused.Addicted? Jesus was tempted to numb His pain.Rejected? Jesus felt forsaken by His Father. No matter what you're facing, The Hidden Half will connect you to a Savior who took your suffering to the cross so you could receive His healing. Whether you read one story or the entire book, your path to hope and healing can start with The Hidden Half of the Gospel: How His Suffering Can Heal Yours.

Most educators have heard of the Jeanes Teachers and know something of their work as supervisors of black rural schools in the southern states. The present volume--historical, descriptive, and critical--is an account of the Jeanes movement from its inception down to 1933. Here is an excellent answer to the question of what can be done for Afro-American education in the rural South.Originally published in 1937.A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.

Advances in Experimental Social Psychology

Advances in Physical Organic Chemistry

Advances in Physical Organic Chemistry

Essays in Medieval History marks the retirement from the University of Toronto of one of North America's most distinguished medieval scholars, Professor Bertie Wilkinson. It consists of twenty-three essays, all previously unpublished, by the leading medieval historians of the English-speaking world. Nearly all these articles deal with topics in English history from the twelfth to the fifteenth century. Some advance a specific discussion or controversy, some treat problems of edition or source description, and others mark initial publication on some topic or person. All were written with Professor Wilkinson's own special interests in mind, and all explore what he and many others agree is the greatest theme of history:'The unending story of men's efforts to reconcile order and liberty, the two essential ingredients for a truly great civilization.'Professor Wilkinson's skill in the use and interpretation of contemporary sources is renowned throughout the field of medieval history, his influence as a scholarly teacher is more extensive still, and his friendships on two continents transcend all bounds of discipline, class, and age. This volume is a fitting tribute to such an historian, and will stand as a lasting contribution to medieval scholarship.

The theme of this volume is a treatment of differential equations on a $C^\infty$ manifold $V$ by separation of variables techniques. More specifically, given a Lie transformation group $L$ of $V$ and a Lie subgroup $H\subset L$, if $D(V)$ is the set of differential operators on $V$ invariant under $L$, then the principal object of study is the set of distributions $T$ on $V$ satisfying the following two conditions:(i) $T$ is an eigendistribution of each $D\in D(V)$; (ii) $T$ is invariant under $H$.