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› Find signed collectible books: 'Circulant Matrices: Second Edition'
A circulant matrix is one in which a basic row of numbers is repeated again and again, but with a shift in position. Such matrices have connection to problems in physics, signal and image processing, probability, statistics, numerical analysis, algebraic coding theory, and many other areas. At the same time, the theory of circulants is easy, relative to the general theory of matrices. Practically every matrix-theoretic question for circulants may be resolved in closed form. Consequently, circulant matrices constitute a nontrivial but simple set of objects that the reader may use to practice, and ultimately deepen, a knowledge of matrix theory. They can also be viewed as special instances of structured or patterned matrices. This book serves as a general reference on circulants, as well as provides alternate or supplemental material for intermediate courses on matrix theory. There is some general discussion of matrices: block matrices, Kronecker products, decomposition theorems, generalized inverses. These topics were chosen because of their application to circulants and because they are not always found in books on linear algebra. More than 200 problems of varying difficulty are included.
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› Find signed collectible books: 'Circulant Matrices (AMS Chelsea Publishing)'
From the Preface: 'Twenty years ago, noting that the basic facts about circulant matrices and its relationship to the Discrete Fourier Transform were rediscovered over and over again, I thought it might be worthwhile to publish a small book in which these facts were summarized (1979). What I did not realize was the extent to which in the years to come circulant matrices would play a role in applications and the extent to which algebraists, numerical analysts, combinatorialists and physicists would push forward the development of generalized circulants'.From the Preface: 'Such matrices are now often seen as special instances of structured or patterned matrices...The outgrowth of the simple notion of a circulant matrix has therefore been both vast and profound. Readers who are interested in applications or generalizations of circulants beyond what is given in this volume may find a...list of publications (and their bibliographies) to be of use'. Second edition, with historical remarks and several additional references.
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› Find signed collectible books: 'Circulant Matrices (Pure & Applied Mathematics)'
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› Find signed collectible books: 'The Companion Guide to the Mathematical Experience: Study Edition'
This guide is designed as a teaching tool, aimed at both teachers and student teachers. Its main purpose is to enhance the value of "The Mathematical Experience" as a textbook. It includes a sample syllabus, outlines for group work, sample exams and hints for grading essays.
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› Find signed collectible books: 'Descartes Dream (Pelican)'
"A passionate plea against the use of formal mathematical reasoning as a method for solving mankind's problems. . . . An antidote to the Cartesian view that mathematical and scientific knowledge will suffice to solve the central problems of human existence." The New York Times
"These cogitations can and should be read by every literate person." Science Books and Films
"A warning against being seduced or intimidated by mathematics into accepting bad science, bad policies, and bad personal decisions." Philadelphia Inquirer
Rationalist philosopher and mathematician René Descartes visualized a world unified by mathematics, in which all intellectual issues could be resolved rationally by local computation. This series of provocative essays takes a modern look at the seventeenth-century thinker's dream, examining the physical and intellectual influences of mathematics on society, particularly in light of technological advances. These essays survey the conditions of civilization that elicit the application of mathematic principles; the effectiveness of these applications; situations in which the applications are beneficial, dangerous, or irrelevant; and how applied mathematics constrain lives and transform perceptions of reality. Highly suitable for browsing, the essays require different levels of mathematical knowledge that range from popular to professional.
Philip J. Davis is Professor Emeritus, Division of Applied Mathematics, Brown University. Reuben Hersh is Professor Emeritus, University of New Mexico, Albuquerque.
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› Find signed collectible books: 'Descartes Dream the World According to M'
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› Find signed collectible books: 'Descartes' Dream: The World According to Mathematics'
"A passionate plea against the use of formal mathematical reasoning as a method for solving mankind's problems. . . . An antidote to the Cartesian view that mathematical and scientific knowledge will suffice to solve the central problems of human existence." The New York Times
"These cogitations can and should be read by every literate person." Science Books and Films
"A warning against being seduced or intimidated by mathematics into accepting bad science, bad policies, and bad personal decisions." Philadelphia Inquirer
Rationalist philosopher and mathematician René Descartes visualized a world unified by mathematics, in which all intellectual issues could be resolved rationally by local computation. This series of provocative essays takes a modern look at the seventeenth-century thinker's dream, examining the physical and intellectual influences of mathematics on society, particularly in light of technological advances. These essays survey the conditions of civilization that elicit the application of mathematic principles; the effectiveness of these applications; situations in which the applications are beneficial, dangerous, or irrelevant; and how applied mathematics constrain lives and transform perceptions of reality. Highly suitable for browsing, the essays require different levels of mathematical knowledge that range from popular to professional.
Philip J. Davis is Professor Emeritus, Division of Applied Mathematics, Brown University. Reuben Hersh is Professor Emeritus, University of New Mexico, Albuquerque.
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› Find signed collectible books: 'Descartes' Dream: The World According to Mathematics (Dover Science Books)'
"A passionate plea against the use of formal mathematical reasoning as a method for solving mankind's problems. . . . An antidote to the Cartesian view that mathematical and scientific knowledge will suffice to solve the central problems of human existence." The New York Times
"These cogitations can and should be read by every literate person." Science Books and Films
"A warning against being seduced or intimidated by mathematics into accepting bad science, bad policies, and bad personal decisions." Philadelphia Inquirer
Rationalist philosopher and mathematician René Descartes visualized a world unified by mathematics, in which all intellectual issues could be resolved rationally by local computation. This series of provocative essays takes a modern look at the seventeenth-century thinker's dream, examining the physical and intellectual influences of mathematics on society, particularly in light of technological advances. These essays survey the conditions of civilization that elicit the application of mathematic principles; the effectiveness of these applications; situations in which the applications are beneficial, dangerous, or irrelevant; and how applied mathematics constrain lives and transform perceptions of reality. Highly suitable for browsing, the essays require different levels of mathematical knowledge that range from popular to professional.
Philip J. Davis is Professor Emeritus, Division of Applied Mathematics, Brown University. Reuben Hersh is Professor Emeritus, University of New Mexico, Albuquerque.
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› Find signed collectible books: 'The Education of a Mathematician'
In this charming memoir, a renowned mathematician and winner of the American Book Award traces his career in mathematics from early lessons in horse racing and the realities of life to his adventures on the lecture circuit. A thought-provoking mix of autobiography, history, and insights into the role of mathematics in everyday life, this highly entertaining book will appeal to all readers.
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› Find signed collectible books: 'Interpolation and Approximation'
Interpolation and approximation offer important applications in computer science and elsewhere. This intermediate-level survey by a noted authority abounds in useful examples of related subjects and has been praised for its level of clarity and reliance on well-presented and useful examples.
A brief introductory chapter presents helpful definitions and theorems. Subsequent chapters explore interpolation, remainder theory, convergence theorems for interpolatory processes, and some problems of infinite interpolation. Additional topics include uniform and best approximation, least square approximation, Hilbert space, orthogonal polynomials, the theory of closure and completeness, expansion theorems for orthogonal functions, degree of approximation, and approximation of linear functionals. A familiarity with real and complex variable theory and linear algebra is assumed. 1963 edition.
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› Find signed collectible books: 'The Lore of Large Numbers (New Mathematical Library)'
The Lore of Large Numbers (New Mathematical Library)
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› Find signed collectible books: 'Mathematical Encounters of the Second Kind'
A number of years ago, Harriet Sheridan, then Dean of Brown University, organized a series oflectures in which individual faculty members described how it came about that they entered their various fields. I was invited to participate in this series and found in the invitation an opportunity to recall events going back to my early teens. The lecture was well received and its reception encouraged me to work up an expanded version. My manuscript lay dormant all these years. In the meanwhile, sufficiently many other mathematical experiences and encounters accumulated to make this little book. My 1981 lecture is the basis of the first piece: "Napoleon's Theorem. " Although there is a connection between the first piece and the second, the four pieces here are essentially independent. The sec ond piece, "Carpenter and the Napoleon Ascription," has as its object a full description of a certain type of scholar-storyteller (of whom I have known and admired several). It is a pastiche, contain ing a salad bar selection blended together by my own imagination. This piece purports, as a secondary goal, to present a solution to a certain unsolved historical problem raised in the first piece. The third piece, "The Man Who Began His Lectures with 'Namely'," is a short reminiscence of Stefan Bergman, one of my teachers of graduate mathematics. Bergman, a remarkable person ality, was born in Poland and came to the United States in 1939.
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› Find signed collectible books: 'The Mathematical Experience (Pelican)'
We tend to think of mathematics as uniquely rigorous, and of mathematicians as supremely smart. In his introduction to The Mathematical Experience, Gian-Carlo Rota notes that instead, "a mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof ... is more often than not a way of making sure that our minds are not playing tricks." Philip Davis and Reuben Hersh discuss everything from the nature of proof to the Euclid myth, and mathematical aesthetics to non-Cantorian set theory. They make a convincing case for the idea that mathematics is not about eternal reality, but comprises "true facts about imaginary objects" and belongs among the human sciences.
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› Find signed collectible books: 'The Mathematical Experience (Penguin Press Science)'
We tend to think of mathematics as uniquely rigorous, and of mathematicians as supremely smart. In his introduction to The Mathematical Experience, Gian-Carlo Rota notes that instead, "a mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof ... is more often than not a way of making sure that our minds are not playing tricks." Philip Davis and Reuben Hersh discuss everything from the nature of proof to the Euclid myth, and mathematical aesthetics to non-Cantorian set theory. They make a convincing case for the idea that mathematics is not about eternal reality, but comprises "true facts about imaginary objects" and belongs among the human sciences.
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› Find signed collectible books: 'The Mathematical Experience, Study Edition'
Winner of the 1983 National Book Award! "&a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (elena.marchisotto@csun.edu) upon request.
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› Find signed collectible books: 'Mathematics & Common Sense: A Case of Creative Tension'
From the Preface: "This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics and common sense. In these essays I hope to foster a critical attitude towards both the existence of common sense in mathematics and the ambiguous role that it can play."
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› Find signed collectible books: 'Mathematics of Matrices'
› Find signed collectible books: 'Methods of Numerical Integration: Second Edition (Dover Books on Mathematics)'
Useful to programmers and stimulating for theoreticians, this text covers the major methods of numerical integration. It offers a balanced presentation: certain sections derive from or allude to deep results of analysis, but most of the final results are expressed in a form accessible to anyone with a background in calculus.
An extensive introduction outlines the uses and advantages of numerical integration and includes formulas and guides to orthogonal polynomials and specific integrals. Subsequent chapters explore approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. Five helpful appendixes conclude the text.
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› Find signed collectible books: 'Methods of Numerical Integration (Computer Science and Applied Mathematics)'
Last paragraph to First Edition Preface This book presents what we think are the major methods of numerical integration. We have tried to produce a balanced work that is both useful to the programmer and stimulating to the theoretician. There are portions of the book where deep results of analysis are derived or are alluded to;yet, it has been our hope that most of the final results have been expressed in a way that is accessible to those with a background only in calculus.
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› Find signed collectible books: 'No Way: The Nature of the Impossible'
Essays explore the concept of the impossible in mountaineering, biology, medicine, chemistry, computer science, technology, physics, mathematics, law, politics, economics, education, music, and philosophy.
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› Find signed collectible books: 'The Schwarz Function and Its Applications (The Carus Mathematical Monographs: #17)'
Book by Davis, Philip J.
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› Find signed collectible books: 'Spirals: From Theodorus to Chaos'
Book by Davis, Philip J., Gautschi, Walter, Iserles, Arieh
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› Find signed collectible books: 'Thomas Gray in Copenhagen: In Which the Philosopher Cat Meets the Ghost of Hans Christian Andersen'
A sequel to the widely successful Thomas Gray, Philosopher Cat, Philip J. Davis' latest continues the adventures of the internationally popular feline and friend. Could it be that Hans Christian Andersen - who wrote so lovingly of inchworms and ugly ducklings - was an unrepentant despiser of cats? That's the rumor that the philosophical feline, Thomas Gray, and cohort, Cambridge don Lucas Fysst, (whose last name doesn't rhyme with "fist") are determined to snuff out. In Copenhagen to attend a philosophers' convention, they go on the hunt for a missing Andersen manuscript that will set the record straight. A whimsically written and illustrated tale - part history, part parody, and all fun.
Davis is Professor Emeritus of Applied Mathematics at Brown University and author of No Way: Essays on the Impossible.
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› Find signed collectible books: 'Thomas Gray, Philosopher Cat'
This light, philosophical fireside tale wrapped around a mathematical problem tells the story of Thomas Gray, a cat who found herself at Cambridge University helping a historian of mathematics with his research. Two-color illustrations.
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› Find signed collectible books: 'The Thread: A Mathematical Yarn'
A memoir in the spirit of The Jenny-Cake Papers of "Shepherd Tom" Hazard of Rhode Island. Containing at the very least: 3 genuine coincidences, 2 Mathematical theorums, 1 horse race story, 1 hieroglyph, and 1 murder, together with a sufficiency of philosophical speculations to bind everything together into a coherent and entertaining whole.
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› Find signed collectible books: 'Mathematical Encounters of the Second Kind'
A number of years ago, Harriet Sheridan, then Dean of Brown University, organized a series oflectures in which individual faculty members described how it came about that they entered their various fields. I was invited to participate in this series and found in the invitation an opportunity to recall events going back to my early teens. The lecture was well received and its reception encouraged me to work up an expanded version. My manuscript lay dormant all these years. In the meanwhile, sufficiently many other mathematical experiences and encounters accumulated to make this little book. My 1981 lecture is the basis of the first piece: "Napoleon's Theorem. " Although there is a connection between the first piece and the second, the four pieces here are essentially independent. The sec- ond piece, "Carpenter and the Napoleon Ascription," has as its object a full description of a certain type of scholar-storyteller (of whom I have known and admired several). It is a pastiche, contain- ing a salad bar selection blended together by my own imagination. This piece purports, as a secondary goal, to present a solution to a certain unsolved historical problem raised in the first piece. The third piece, "The Man Who Began His Lectures with 'Namely'," is a short reminiscence of Stefan Bergman, one of my teachers of graduate mathematics. Bergman, a remarkable person- ality, was born in Poland and came to the United States in 1939.
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› Find signed collectible books: 'Pembrokes Katze'
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› Find signed collectible books: 'L'Univers mathématique (French Edition)'
Deux mathématiciens américains, après avoir fait une apologie (à succès) de leur discipline dans L'Univers mathématique, se livrent à une critique argumentée et pleine de passion. Le titre original du livre (Le Rêve de Descartes) indiquait bien la nature historique de la réflexion : le but ultime du cartésianisme, soumettre tous les phénomènes, naturels et humains, à l'analyse mathématique, a pratiquement été atteint au cours de ce siècle. Si les ordinateurs ne pensent pas encore et si la psychanalyse échappe toujours à l'informatique, comment nier que des pans entiers de nos vies quotidiennes sont désormais régis par des méthodes scientifiques dérivées des mathématiques. C'est parfois heureux, en termes d'efficacité, de sécurité, voire d'esthétique ; cependant, c'est le plus souvent désastreux dans la mesure où il est tentant d'identifier un phénomène, ou un individu, à son modèle mathématique, ignorant ainsi l'irréductible complexité de la nature et du vivant. Pour les auteurs, cette dernière devrait tout au contraire nous inspirer une certaine défiance à l'égard des formules et des théories globalisantes. Une saine leçon d'humilité. --Arthur Hennessy
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› Find signed collectible books: 'El Sueno De Descartes El Mundo Segun Las'
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