Infinite Series

Author : Ludmila Bourchtein
Publisher : Springer Nature
ISBN 13 : 3030794318
Total Pages : 388 pages
Book Rating : 4.16/5 ( download)

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Download or read book Theory of Infinite Sequences and Series written by Ludmila Bourchtein and published by Springer Nature. This book was released on 2021-11-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning – the definition and elementary properties of sequences of numbers, and ending with advanced results of uniform convergence and power series. The text is aimed at university students specializing in mathematics and natural sciences, and at all the readers interested in infinite sequences and series. It is designed for the reader who has a good working knowledge of calculus. No additional prior knowledge is required. The text is divided into five chapters, which can be grouped into two parts: the first two chapters are concerned with the sequences and series of numbers, while the remaining three chapters are devoted to the sequences and series of functions, including the power series. Within each major topic, the exposition is inductive and starts with rather simple definitions and/or examples, becoming more compressed and sophisticated as the course progresses. Each key notion and result is illustrated with examples explained in detail. Some more complicated topics and results are marked as complements and can be omitted on a first reading. The text includes a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic techniques and test the understanding of key concepts. Other problems are more theoretically oriented and illustrate more intricate points of the theory, or provide counterexamples to false propositions which seem to be natural at first glance. Solutions to additional problems proposed at the end of each chapter are provided as an electronic supplement to this book.

Author : Daniel D. Bonar
Publisher : American Mathematical Soc.
ISBN 13 : 1470447827
Total Pages : 261 pages
Book Rating : 4.23/5 ( download)

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Download or read book Real Infinite Series written by Daniel D. Bonar and published by American Mathematical Soc.. This book was released on 2018-12-12 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : James M Hyslop
Publisher : Courier Corporation
ISBN 13 : 0486154858
Total Pages : 146 pages
Book Rating : 4.55/5 ( download)

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Download or read book Infinite Series written by James M Hyslop and published by Courier Corporation. This book was released on 2012-05-11 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : L.E. Waters
Publisher : Rock Castle Publishing
ISBN 13 : 098391110X
Total Pages : 282 pages
Book Rating : 4.04/5 ( download)

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Download or read book Infinite Sacrifice written by L.E. Waters and published by Rock Castle Publishing. This book was released on 2011-11-11 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maya’s shocked to discover it’s not the heaven she imagined; in fact, a life of adventure begins the moment you die. Zachariah, her faithful spirit guide, explains the rules of the dead: in order to regain complete awareness and reunite with loved ones all souls must review their previous lives. Maya plunges warily into her turbulent pasts as a sociopathic High Priest in ancient Egypt; an independent mother protecting a dangerous secret in glorious Sparta; an Irish boy kidnapped and enslaved by Vikings; and a doctor’s wife forced to make an ethical stand in plague-ridden England. All the while, Maya yearns to be with those she cares about most and worries that she hasn’t learned all of heaven’s most vital lessons. Will she be forced to leave the tranquility of heaven to survive yet another painful and tumultuous life? Or worse, accept the bitter reality of having to go back alone? Free, freebie

Author : Isidore Isaac Hirschman
Publisher : Courier Corporation
ISBN 13 : 0486798240
Total Pages : 193 pages
Book Rating : 4.40/5 ( download)

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Download or read book Infinite Series written by Isidore Isaac Hirschman and published by Courier Corporation. This book was released on 2014-08-18 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Bernhard W. Bach, Jr.
Publisher : Cambridge University Press
ISBN 13 : 1107059828
Total Pages : 201 pages
Book Rating : 4.25/5 ( download)

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Download or read book A Student's Guide to Infinite Series and Sequences written by Bernhard W. Bach, Jr. and published by Cambridge University Press. This book was released on 2018-05-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informal and practically focused introduction for undergraduate students exploring infinite series and sequences in engineering and the physical sciences. With a focus on practical applications in real world situations, it helps students to conceptualize the theory with real-world examples and to build their skill set.

Author : Konrad Knopp
Publisher : Courier Corporation
ISBN 13 : 0486152049
Total Pages : 212 pages
Book Rating : 4.42/5 ( download)

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Download or read book Infinite Sequences and Series written by Konrad Knopp and published by Courier Corporation. This book was released on 2012-09-14 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Konrad Knopp
Publisher :
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4.65/5 ( download)

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Download or read book Theory and Application of Infinite Series written by Konrad Knopp and published by . This book was released on 1928 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trans from the 2nd German ed , pub 1923.

Author : Robert C. Wrede
Publisher : McGraw Hill Professional
ISBN 13 : 9780071375672
Total Pages : 460 pages
Book Rating : 4.78/5 ( download)

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Download or read book Schaums Outline of Advanced Calculus, Second Edition written by Robert C. Wrede and published by McGraw Hill Professional. This book was released on 2002-02-20 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, theres Schaums Outlines. More than 40 million students have trusted Schaums to help them succeed in the classroom and on exams. Schaums is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaums Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaums highlights all the important facts you need to know. Use Schaums to shorten your study time-and get your best test scores! Schaums Outlines-Problem Solved.

Author : Thomas John I'Anson Bromwich
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.32/5 ( download)

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Download or read book An Introduction to the Theory of Infinite Series written by Thomas John I'Anson Bromwich and published by . This book was released on 1908 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: