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 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 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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Infinite sequences and series more books like this

by Konrad Knopp

Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more.

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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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Introduction to Analysis of the Infinite: Book I more books like this

by Leonhard Euler, John D Blanton (Translator)

From the preface of the author: '...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In ...

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Introduction to Analysis of the Infinite: Book II more books like this

by Leonhard Euler, Leonard Euler, John D Blanton (Translator)

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Real Infinite Series more books like this

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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A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions, with an Account of the Principal Transcendental Functions more books like this

by E T Whittaker

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A Treatise on Plane and Advanced Trigonometry more books like this

by Ernest William Hobson

This excellent account of the theory of the circular functions and its applications is of particular value to students of mathematics who intended to proceed further in the study of analysis.

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An Introduction to the Theory of Infinite Series more books like this

by Thomas John I'anson Bromwich

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Quasipower Series and Quasianalytic Classes of Functions more books like this

by G V Badalian

In this book, G. V. Badalyan addresses the fundamental problems of the theory of infinitely-differentiable functions using the theory of functions of quasianalytic classes. A certain class of functions $C$ on an interval is called quasianalytic if any function in $C$ is uniquely determined by the values of its derivatives at any point. The obvious ...

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An introduction to sequences, series, and improper integrals more books like this

by O. E. Stanaitis

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Infinite Series more books like this

by Isidore Isaac Hirschman

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Sequences & Series more books like this

by J A Green

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Functional Series, more books like this

by Richard A Silverman

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Introduction to infinite series more books like this

by William F. Osgood

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Chapter 9 of Ramanujan's Second Notebook: Infinite Series Identities, Transformations, and Evaluations more books like this

by Bruce C. Berndt, Padmini T. Joshi

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Infinite Series: Ramifications, more books like this

by Richard A Silverman, G Fichtenholz

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Tables of summable series and integrals involving Bessel functions more books like this

by Albert D. Wheelon, John T. Robacker

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Representations of Real Numbers by Infinite Series more books like this

by Janos Galambos

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Eigenfunction expansions associated with second-order differential equations more books like this

by Edward Charles Titchmarsh

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Series expansions for mathematical physicists more books like this

by Herbert Meschkowski

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Theorie Und Anwendung Der Unendlichen Reihen more books like this

by Konrad Knopp

Als dieses Buch zum ersten Mal erschien (als Band 2 der neugegrA1/4ndeten "Grundlehren"), lobte man einhellig die Anlage und den Stil des Bandes. Selten nur blieb ein Buch A1/4ber sechs Jahrzehnte hinweg wegen seiner hervorragenden Didaktik und seiner anregenden Formulierungen so gefragt. In dieser neuen Auflage beschreibt Wolfgang Walter, der ...

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Leçons sur les séries à termes positifs professées au Collège de France more books like this

by Emile Borel, Robert Adhémar, vicomte d'

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