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Everything and More: A Compact History of Infinity

Everything and More: A Compact History of Infinity more books like this

by David Foster Wallace

The versatile David Foster Wallace tackles the concept of infinity, exploring its essential nature: is it simply an abstraction, or an actual mathematical entity? Wallace looks at Georg Cantor's 19th-century comments on the issue and includes his own thoughts on a question that has perplexed mathematicians for centuries.

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The Art of the Infinite: The Pleasures of Mathematics

The Art of the Infinite: The Pleasures of Mathematics more books like this

by Robert Kaplan, Ellen Kaplan (Illustrator)

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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A Course of Modern Analysis

A Course of Modern Analysis more books like this

by E T Whittaker

This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.

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Theory and application of infinite series

Theory and application of infinite series more books like this

by 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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Fourier Series and Boundary Value Problems

Fourier Series and Boundary Value Problems more books like this

by 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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Fourier Analysis

Fourier Analysis more books like this

by 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 Integral and Certain of Its Applications

Fourier Integral and Certain of Its Applications more books like this

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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Introduction to the theory of Fourier integrals more books like this

by E. C. Titchmarsh

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Continued Fractions: Analytic Theory and Applications

Continued Fractions: Analytic Theory and Applications more books like this

by William B Jones, W J Thron

This is an up-to-date exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.

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Infinity and the Mind: The Science and Philosophy of the Infinite

Infinity and the Mind: The Science and Philosophy of the Infinite more books like this

by 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. Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the past ...

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The Harmonic Conquest of Space

The Harmonic Conquest of Space more books like this

by B. L. Cathie

Bruce Cathie's first book, Harmonic 33, was first published in 1968 when he was a commercial pilot in New Zealand. Since then Captain Bruce Cathie has been the premier investigator into the amazing potential of the infinite energy that surrounds our planet every microsecond. The Harmonic Conquest of Spacecontains all new material and further ...

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Fourier Series & Boundary Value Problems more books like this

by Ruel V Churchill

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Wavelets Made Easy more books like this

by Yves Nievergelt

This book, 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 sciences) as ...

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An Introduction to Harmonic Analysis more books like this

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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Fourier Analysis and Its Applications more books like this

by Gerald B Folland

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ...

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Continued fractions more books like this

by Aleksandr Iakovlevich Khinchin

Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Properties of the apparatus, representation of numbers by continued fractions, more. 1964 edition.

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Wavelets Through a Looking Glass: The World of the Spectrum more books like this

by Ola Bratteli

This book, combining wavelets and the world of the spectrum, focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral-theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. Key features of the book include: ...

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Time-series more books like this

by Maurice G. Kendall

The statistical analysis of time series has undergone dramatic change in the last 20 years and this revision of the classic text by the late Sir Maurice Kendall features an integrated up-to-date treatment by Keith Ord that uses data analytic devices and more modern approaches to model building.

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Acoustics and the Performance of Music: Manual for Acousticians, Audio Engineers, Musicians, Architects and Musical Instruments Makers more books like this

by Jurgen Meyer, MD, Uwe Hansen (Translator)

The objective of the book is to focus insights in the field of Acoustics of Musical Instruments, Room-Acoustics and Psycho-Acoustics on applications in musical performance. In this context, the directional dependence of sound radiation by musical instruments and the voice, as well as questions of concert hall design and room acoustical computer ...

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The FFT: Fundamentals and Concepts more books like this

by Robert W Ramirez

Simple and concise discussion of both Fourier Theory and the FFT (fast fourier transform) are provided.

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A Handbook of Integer Sequences more books like this

by Sloane Neil James Alexand, N J Sloane

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Infinite series more books like this

by James Morton 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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An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics: Wi more books like this

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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Uses of Infinity more books like this

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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From Divergent Power Series to Analytic Functions more books like this

by Werner Balser

Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummability, and as an application, contains a proof of the fact that all formal power series solutions of non-linear ...

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