Theory And Application Of Infinite Series

Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486318613
Size: 74.20 MB
Format: PDF, Kindle
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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.

Infinite Sequences And Series

Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486152049
Size: 45.75 MB
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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.

Infinite Series

Author: Isidore Isaac Hirschman
Publisher: Courier Corporation
ISBN: 0486798240
Size: 80.42 MB
Format: PDF, ePub
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Text for advanced undergraduate and graduate students examines Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. Appendix covers set and sequence operations and continuous functions. 1962 edition.

Real Infinite Series

Author: Daniel D. Bonar
Publisher: MAA
ISBN: 9780883857458
Size: 13.93 MB
Format: PDF, ePub, Mobi
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An introductory treatment of infinite series of real numbers, from basic definitions and tests to advanced results.

Understanding Infinity

Author: Anthony Gardiner
Publisher: Courier Corporation
ISBN: 9780486425382
Size: 68.38 MB
Format: PDF, Kindle
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Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition.

Playing With Infinity

Author: Rózsa Péter
Publisher: Courier Corporation
ISBN: 0486150054
Size: 13.54 MB
Format: PDF, ePub, Mobi
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Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.

Infinite Series

Author: James M Hyslop
Publisher: Courier Corporation
ISBN: 0486154858
Size: 45.62 MB
Format: PDF, Kindle
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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, more. 1959 edition.

Levels Of Infinity

Author: Hermann Weyl
Publisher: Courier Corporation
ISBN: 0486489035
Size: 73.40 MB
Format: PDF, Kindle
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This original anthology collects 10 of Weyl's less-technical writings that address the broader scope and implications of mathematics. Most have been long unavailable or not previously published in book form. Subjects include logic, topology, abstract algebra, relativity theory, and reflections on the work of Weyl's mentor, David Hilbert. 2012 edition.

Fractals Chaos Power Laws

Author: Manfred Schroeder
Publisher: Courier Corporation
ISBN: 0486472043
Size: 65.18 MB
Format: PDF, Mobi
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This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author - hailed by Publishers Weekly as a modern Lewis Carroll - conveys memorable insights in the form of puns and puzzles. 1992 edition.