Theory and Application of Infinite Series PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Theory and Application of Infinite Series PDF full book. Access full book title Theory and Application of Infinite Series by Konrad Knopp. Download full books in PDF and EPUB format.
Author: Konrad Knopp
Publisher:
ISBN:
Category : Series, Infinite
Languages : en
Pages : 596
Get Book Here
Book Description
Trans from the 2nd German ed , pub 1923.
Author: Konrad Knopp
Publisher:
ISBN:
Category : Series, Infinite
Languages : en
Pages : 596
Get Book Here
Book Description
Trans from the 2nd German ed , pub 1923.
Author: Ludmila Bourchtein
Publisher: Springer Nature
ISBN: 3030794318
Category : Mathematics
Languages : en
Pages : 388
Get Book Here
Book Description
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: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486152049
Category : Mathematics
Languages : en
Pages : 212
Get Book Here
Book Description
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: James M Hyslop
Publisher: Courier Corporation
ISBN: 0486154858
Category : Mathematics
Languages : en
Pages : 146
Get Book Here
Book Description
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: Bernhard W. Bach, Jr.
Publisher: Cambridge University Press
ISBN: 1107059828
Category : Mathematics
Languages : en
Pages : 201
Get Book Here
Book Description
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: Thomas John I'Anson Bromwich
Publisher: Legare Street Press
ISBN: 9781015544697
Category : History
Languages : en
Pages : 0
Get Book Here
Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Daniel D. Bonar
Publisher: American Mathematical Soc.
ISBN: 1470447827
Category : Mathematics
Languages : en
Pages : 278
Get Book Here
Book Description
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: Isidore Isaac Hirschman
Publisher: Courier Corporation
ISBN: 0486798240
Category : Mathematics
Languages : en
Pages : 193
Get Book Here
Book Description
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: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486661652
Category : Mathematics
Languages : en
Pages : 596
Get Book Here
Book Description
This unusually clear and interesting classic offers a thorough and reliable treatment of an important branch of higher analysis. The work 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, and other topics). Exercises throughout. Ideal for self-study.
Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Category : Mathematics
Languages : en
Pages : 466
Get Book Here
Book Description
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
