Infinite Series

Author : Daniel D. Bonar,Michael J. Khoury Jr.
Publisher : American Mathematical Soc.
Page : 261 pages
File Size : 46,5 Mb
Release : 2018-12-12
Category : Electronic
ISBN : 9781470447823

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Real Infinite Series by Daniel D. Bonar,Michael J. Khoury Jr. Pdf

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 : Ludmila Bourchtein,Andrei Bourchtein
Publisher : Springer Nature
Page : 388 pages
File Size : 48,6 Mb
Release : 2021-11-13
Category : Mathematics
ISBN : 9783030794316

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Theory of Infinite Sequences and Series by Ludmila Bourchtein,Andrei Bourchtein Pdf

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
Page : 212 pages
File Size : 46,9 Mb
Release : 2012-09-14
Category : Mathematics
ISBN : 9780486152042

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Infinite Sequences and Series by Konrad Knopp Pdf

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
Page : 146 pages
File Size : 48,9 Mb
Release : 2012-05-11
Category : Mathematics
ISBN : 9780486154855

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Infinite Series by James M Hyslop Pdf

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 : J. H. Heinbockel
Publisher : Trafford Publishing
Page : 531 pages
File Size : 48,6 Mb
Release : 2010-12
Category : Mathematics
ISBN : 9781426949548

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Introduction to Finite and Infinite Series and Related Topics by J. H. Heinbockel Pdf

An introduction to the analysis of finite series, infinite series, finite products and infinite products and continued fractions with applications to selected subject areas. Infinite series, infinite products and continued fractions occur in many different subject areas of pure and applied mathematics and have a long history associated with their development. The mathematics contained within these pages can be used as a reference book on series and related topics. The material can be used to augment the mathematices found in traditional college level mathematics course and by itself is suitable for a one semester special course for presentation to either upper level undergraduates or beginning level graduate students majoring in science, engineering, chemistry, physics, or mathematics. Archimedes used infinite series to find the area under a parabolic curve. The method of exhaustion is where one constructs a series of triangles between the arc of a parabola and a straight line. A summation of the areas of the triangles produces an infinite series representing the total area between the parabolic curve and the x-axis.

Author : L.E. Waters
Publisher : Rock Castle Publishing
Page : 282 pages
File Size : 48,5 Mb
Release : 2011-11-11
Category : Fiction
ISBN : 9780983911104

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Infinite Sacrifice by L.E. Waters Pdf

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
Page : 193 pages
File Size : 51,9 Mb
Release : 2014-10-15
Category : Mathematics
ISBN : 9780486789750

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Infinite Series by Isidore Isaac Hirschman Pdf

This text for advanced undergraduate and graduate students presents a rigorous approach that also emphasizes applications. Encompassing more than the usual amount of material on the problems of computation with series, the treatment offers many applications, including those related to the theory of special functions. Numerous problems appear throughout the book. The first chapter introduces the elementary theory of infinite series, followed by a relatively complete exposition of the basic properties of Taylor series and Fourier series. Additional subjects include series of functions and the applications of uniform convergence; double series, changes in the order of summation, and summability; power series and real analytic functions; and additional topics in Fourier series. The text concludes with an appendix containing material on set and sequence operations and continuous functions. Dover (2014) republication of the edition originally published by Holt, Rinehart & Winston, New York, 1962. See every Dover book in print at www.doverpublications.com

Author : Bernhard W. Bach, Jr.
Publisher : Cambridge University Press
Page : 201 pages
File Size : 53,8 Mb
Release : 2018-05-17
Category : Mathematics
ISBN : 9781107059825

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A Student's Guide to Infinite Series and Sequences by Bernhard W. Bach, Jr. Pdf

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 : William Fogg Osgood
Publisher : Unknown
Page : 80 pages
File Size : 51,6 Mb
Release : 1897
Category : Mathematics
ISBN : HARVARD:32044019939784

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Introduction to Infinite Series by William Fogg Osgood Pdf

Author : J. N. Sharma
Publisher : Krishna Prakashan Media
Page : 328 pages
File Size : 42,8 Mb
Release : 1991
Category : Series, Infinite
ISBN : 8210379456XXX

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Infinite Series and Products by J. N. Sharma Pdf

Author : Isidore Isaac Hirschman
Publisher : Courier Corporation
Page : 193 pages
File Size : 43,5 Mb
Release : 2014-08-18
Category : Mathematics
ISBN : 9780486798240

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Infinite Series by Isidore Isaac Hirschman Pdf

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 : Samuel Vince
Publisher : Unknown
Page : 30 pages
File Size : 42,5 Mb
Release : 1783
Category : Series, Infinite
ISBN : BL:A0021785281

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A New Method of Investigating the Sums of Infinite Series by Samuel Vince Pdf

Author : Isaac Newton,John Colson
Publisher : Unknown
Page : 378 pages
File Size : 42,6 Mb
Release : 1736
Category : Calculus
ISBN : BSB:BSB10053708

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The Method of Fluxions And Infinite Series by Isaac Newton,John Colson Pdf

Author : Janos Galambos
Publisher : Springer
Page : 152 pages
File Size : 48,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540380870

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Representations of Real Numbers by Infinite Series by Janos Galambos Pdf

Author : Robert C. Wrede,Murray R Spiegel
Publisher : McGraw Hill Professional
Page : 460 pages
File Size : 54,9 Mb
Release : 2002-02-20
Category : Mathematics
ISBN : 0071375678

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Schaums Outline of Advanced Calculus, Second Edition by Robert C. Wrede,Murray R Spiegel Pdf

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.