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Everything and More: A Compact History of Infinity
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David Foster Wallace
DAVID FOSTER WALLACE brings his intellectual ambition and bravura style to the story of how mathematicians have struggled to understand the infinite, from the ancient Greeks to the nineteenth-century mathematical genius Georg Cantor's counterintuitive discovery that there is more than one kind of infinity.
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The Art of the Infinite: The Pleasures of Mathematics
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Robert Kaplan, Ellen Kaplan
In this delightful new book, Kaplan and his wife, Ellen, once again take readers on a witty, literate, and accessible tour of the world of mathematics. Where "The Nothing That Is" looked at math through the lens of zero, "The Art of the Infinite" takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking.
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Anno's Magic Seeds
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Mitsumasa Anno
A wizard gives jack two magic seeds. 'Eat one,' he says, 'and you won't be hungry for another year. Bury the other and it will produce two more seeds.' Jack does as he is told the first year, but in the second year he buries two, not one. Jack's magic seeds grow by ones and twos--and more--and the reader adds and subtracts his or her way through ...
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Fourier Series & Boundary Value Problems
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by
Ruel V Churchill
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Infinity and the Mind: The Science and Philosophy of the Infinite
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Rudy Von B Rucker
In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Here Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the ...
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Fourier Analysis
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T W Korner
Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. In most books, this diversity of interest is often ignored, but here Dr Korner has provided a shop-window for some of the ideas, techniques and elegant results of Fourier ...
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Fourier Series and Boundary Value Problems
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James Ward Brown
Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are ...
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Theory and application of infinite series
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Konrad Knopp
Unusually clear and interesting classic covers real numbers and sequences, foundations of the theory of infinite series and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, other topics). Includes exercises.
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Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems
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Murray Spiegel
Ace your course in Fourier analysis with this powerful study guide! With its clear explanations, hundreds of fully solved problems, and comprehensive coverage of the applications of Fourier series, this useful tool can sharpen your problem-solving skills, improve your comprehension, and reduce the time you need to spend studying. It also includes ...
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Real Infinite Series
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by
Daniel D Bonar, Jr Khoury, William Watkins (Editor)
This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary ...
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Fourier Integral and Certain of Its Applications
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by
Norbert Wiener
The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour whilst remaining a highly readable and lucid account. Topics covered include the Planchard theory of the existence of Fourier transforms of a function of L2 and Tauberian theorems. The influence of G. H. Hardy is apparent from ...
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A Friendly Guide to Wavelets
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by
Gerald Kaiser
This volume is designed as a textbook for an introductory course on wavelet analysis and time-frequency analysis aimed at graduate students or advanced undergraduates in science and engineering. It can also be used as a self-study or reference book by practicing researchers in signal analysis and related areas. Since the expected audience is not ...
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Infinity: Beyond the Beyond the Beyond
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Lillian Lieber, Hugh Gray Lieber (Illustrator), Barry Mazur (Foreword by)
This book offers an entertaining, yet thorough, explanation of the concept of, yes, infinity. Accessible to non-mathematicians, this book also cleverly connects mathematical reasoning to larger issues in society.
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An Introduction to Harmonic Analysis
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by
Yitzhak Katznelson
First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a ...
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Gibbs Phenomenon in Fourier Analysis, Splines & Wavelet Approximations
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by
Abdul J Jerri
This is the first book dedicated to covering the basic elements of the Gibbs phenomenon as it appears in various applications where functions with jump discontinuities are represented. It is presented with detailed analysis and illustrations combined with historical information. The author covers the appearance of the Gibbs phenomenon in Fourier ...
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A Course of Modern Analysis
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E T Whittaker, George N Watson
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Reasoning with the Infinite: From the Closed World to the Mathematical Universe
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by
Michel Blay, M B Debevoise (Translator)
The nature and motions of heavenly objects had always been mysterious and unpredicatable. But the "Scientific Revolution" was revolutionary in part because it saw the advent of many mathematical tools - chief among them calculus - that natural philosophers could use to explain and predict cosmic motions. Michel Blay traces the origins of this ...
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The World According to Wavelets: The Story of a Mathematical Technique in the Making
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by
Barbara Burke Hubbard
Drawing on interviews with leading wavelet researchers in the USA and France, this book tells the story of the rise of the field. It attempts to make the subject accessible to the non-mathematical reader, without sacrificing precision. The material is organized so that the mathematical details can be assimilated at the reader's own pace. The main ...
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Trigonometric Series
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by
Antoni Zygmund
Originally published in 1935, Professor Zygmund's Trigonometric Series rapidly established itself as a classic and has remained one of the most referenced works of mathematics ever since. Originally published separately, the two volumes were subsequently bound together as a single book. Volume I contains the basic material on trigonometric series ...
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A Primer on Wavelets and Their Scientific Applications
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by
James S Walker
The rapid growth of wavelet applications - speech compression and analysis, image compression and enhancement, and removing noise from audio and images - has created an explosion of activity in creating a theory of wavelet analysis and applying it to a wide variety of scientific and engineering problems. It becomes important, then, that engineers ...
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The Mathematics of Juggling
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by
Burkard Polster
This book is the first comprehensive account on juggling tricks and skills, as well as the mathematics behind them. The author wants to help jugglers be systematic about the way they acquire new skills and tricks. He wants to demonstrate that mathematics can be a lot of fun. And he will make people who appreciate the mathematics in this book to ...
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Uses of Infinity
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by
Leo Zippin
Intriguing, accessible approach leads to an excellent grasp of fundamental notions of infinity used in calculus, other mathematical disciplines. Numerous problems appear throughout, with solutions. 83 text figures. 1962 edition.
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Wavelets Made Easy
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Yves Nievergelt
Wavelets Made Easy, written at the level of a first course in calculus and linear algebra, offers a lucid and concise explanation of mathematical wavelets. Evolving from ten years of classroom use, its accessible presentation is designed for undergraduates in a variety of disciplines (computer science, engineering, mathematics, mathematical ...
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An Elementary Treatise on Fourier's Series: And Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics
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by
William Elwood Byerly
This classic text is one of the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. Includes 190 problems, approximately half with answers. 1893 edition.
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Infinite series
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by
J M Hyslop
Intended for advanced undergraduates and graduate students, this concise text focuses on the convergence of real series. Topics include functions and limits, real sequences and series, series of non-negative terms, general series, series of functions, the multiplication of series, infinite products, and double series. 1959 edition.
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