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Infinite Sequences And Series

Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486152049
Size: 73.94 MB
Format: PDF, ePub, Mobi
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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.

Theory And Application Of Infinite Series

Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486318613
Size: 43.95 MB
Format: PDF, Docs
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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 Matrices And Sequence Spaces

Author: Richard G. Cooke
Publisher: Courier Corporation
ISBN: 0486795063
Size: 28.17 MB
Format: PDF, ePub, Docs
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Clear, correct summation of basic results on general behavior of infinite matrices features three introductory chapters leading to applications related to summability of divergent sequences and series. Nearly 200 examples. 1950 edition.

Real Infinite Series

Author: Daniel D. Bonar
Publisher: MAA
ISBN: 9780883857458
Size: 59.94 MB
Format: PDF, ePub
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An introductory treatment of infinite series of real numbers, from basic definitions and tests to advanced results.

Infinite Series

Author: Isidore Isaac Hirschman
Publisher: Courier Corporation
ISBN: 0486798240
Size: 52.39 MB
Format: PDF
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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.

Uniform Distribution Of Sequences

Author: L. Kuipers
Publisher: Courier Corporation
ISBN: 0486149994
Size: 46.42 MB
Format: PDF, ePub, Mobi
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The theory of uniform distribution began with Weyl's celebrated paper of 1916 and this book summarizes its development through the mid-1970s, with comprehensive coverage of methods and principles. 1974 edition.

Real Analysis Via Sequences And Series

Author: Charles H.C. Little
Publisher: Springer
ISBN: 1493926519
Size: 68.90 MB
Format: PDF, Mobi
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This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.