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Infinite Sequences And Series

Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486152049
Size: 23.97 MB
Format: PDF
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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: 51.17 MB
Format: PDF, ePub, Mobi
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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 Series

Author: James M Hyslop
Publisher: Courier Corporation
ISBN: 0486154858
Size: 27.70 MB
Format: PDF
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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.

Infinite Series

Author: Isidore Isaac Hirschman
Publisher: Courier Corporation
ISBN: 0486798240
Size: 68.48 MB
Format: PDF, ePub, Mobi
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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.

Infinite Matrices And Sequence Spaces

Author: Richard G. Cooke
Publisher: Courier Corporation
ISBN: 0486795063
Size: 18.63 MB
Format: PDF, ePub, Mobi
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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.

Elements Of The Theory Of Functions

Author: Konrad Knopp
Publisher: Courier Dover Publications
ISBN: 0486165604
Size: 30.74 MB
Format: PDF, ePub, Mobi
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Well-known book provides a clear, concise review of complex numbers and their geometric representation; linear functions and circular transformations; sets, sequences, and power series; analytic functions and conformal mapping; and elementary functions. 1952 edition.

Sequences Combinations Limits

Author: S. I. Gelfand
Publisher: Courier Corporation
ISBN: 9780486425665
Size: 39.78 MB
Format: PDF, Mobi
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Focusing on theory more than computations, this 3-part text covers sequences, definitions, and methods of induction; combinations; and limits, with introductory problems, definition-related problems, and problems related to computation limits. Answers and hints to the test problems are provided; "road signs" mark passages requiring particular attention. 1969 edition.

Real Infinite Series

Author: Daniel D. Bonar
Publisher: American Mathematical Soc.
ISBN: 1470447827
Size: 66.74 MB
Format: PDF, Docs
View: 6614
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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 and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.

Elements Of Real Analysis

Author: David A. Sprecher
Publisher: Courier Corporation
ISBN: 0486153258
Size: 59.20 MB
Format: PDF
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Classic text explores intermediate steps between basics of calculus and ultimate stage of mathematics — abstraction and generalization. Covers fundamental concepts, real number system, point sets, functions of a real variable, Fourier series, more. Over 500 exercises.

Infinitesimal Calculus

Author: James M. Henle
Publisher: Courier Corporation
ISBN: 9780486428864
Size: 75.38 MB
Format: PDF, Kindle
View: 5184
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Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of the real line, and standard calculus and sequences of functions. Only high school mathematics needed. 1979 edition.