Infinite Sequences And Series
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Author |
: Ludmila Bourchtein |
Publisher |
: Springer Nature |
Total Pages |
: 388 |
Release |
: 2021-11-13 |
ISBN-10 |
: 9783030794316 |
ISBN-13 |
: 3030794318 |
Rating |
: 4/5 (16 Downloads) |
Synopsis Theory of Infinite Sequences and Series by : Ludmila Bourchtein
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 |
Total Pages |
: 212 |
Release |
: 2012-09-14 |
ISBN-10 |
: 9780486152042 |
ISBN-13 |
: 0486152049 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Infinite Sequences and Series by : Konrad Knopp
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 |
: William F. Trench |
Publisher |
: Prentice Hall |
Total Pages |
: 0 |
Release |
: 2003 |
ISBN-10 |
: 0130457868 |
ISBN-13 |
: 9780130457868 |
Rating |
: 4/5 (68 Downloads) |
Synopsis Introduction to Real Analysis by : William F. Trench
Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.
Author |
: Bernhard W. Bach, Jr. |
Publisher |
: Cambridge University Press |
Total Pages |
: 201 |
Release |
: 2018-05-17 |
ISBN-10 |
: 9781107059825 |
ISBN-13 |
: 1107059828 |
Rating |
: 4/5 (25 Downloads) |
Synopsis A Student's Guide to Infinite Series and Sequences by : Bernhard W. Bach, Jr.
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 |
: |
Total Pages |
: 596 |
Release |
: 1928 |
ISBN-10 |
: UOM:39015000966765 |
ISBN-13 |
: |
Rating |
: 4/5 (65 Downloads) |
Synopsis Theory and Application of Infinite Series by : Konrad Knopp
Trans from the 2nd German ed , pub 1923.
Author |
: Charles H.C. Little |
Publisher |
: Springer |
Total Pages |
: 483 |
Release |
: 2015-05-28 |
ISBN-10 |
: 9781493926510 |
ISBN-13 |
: 1493926519 |
Rating |
: 4/5 (10 Downloads) |
Synopsis Real Analysis via Sequences and Series by : Charles H.C. Little
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.
Author |
: James M Hyslop |
Publisher |
: Courier Corporation |
Total Pages |
: 146 |
Release |
: 2012-05-11 |
ISBN-10 |
: 9780486154855 |
ISBN-13 |
: 0486154858 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Infinite Series by : James M Hyslop
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 |
: Edwin Herman |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 2016-03-30 |
ISBN-10 |
: 1947172832 |
ISBN-13 |
: 9781947172838 |
Rating |
: 4/5 (32 Downloads) |
Synopsis Calculus Volume 3 by : Edwin Herman
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Author |
: Mark Ryan |
Publisher |
: John Wiley & Sons |
Total Pages |
: 446 |
Release |
: 2016-05-18 |
ISBN-10 |
: 9781119297437 |
ISBN-13 |
: 1119297435 |
Rating |
: 4/5 (37 Downloads) |
Synopsis Calculus For Dummies by : Mark Ryan
Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.
Author |
: Robert C. Wrede |
Publisher |
: McGraw Hill Professional |
Total Pages |
: 460 |
Release |
: 2002-02-20 |
ISBN-10 |
: 0071375678 |
ISBN-13 |
: 9780071375672 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Schaums Outline of Advanced Calculus, Second Edition by : Robert C. Wrede
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.