Elementary Analysis: The Theory of Calculus by Kenneth A. Ross (English) Hardcov

Description: Elementary Analysis by Kenneth A. Ross Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging.The second edition preserves the books clear and concise style, illuminating discussions, and simple, well-motivated proofs. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging.The second edition preserves the books clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newtons method and the secant method, and continuous nowhere-differentiable functions. Notes Revised and updated second edition with new materialText for a transition course between calculus and more advanced analysis coursesContains new material on topics such as irrationality of pi, the Baire category theorem, Newtons method and the secant method, and continuous nowhere-differentiable functionsIncludes new examples and improved proofs Back Cover For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the books clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newtons method and the secant method, and continuous nowhere-differentiable functions. Review from the first edition: "This book is intended for the student who has a good, but na Author Biography Kenneth A. Ross is currently an emeritus professor of mathematics at the University of Oregon.Jorge M. López is currently professor of mathematics at the University of Puerto Rico. Table of Contents Preface.- 1 Introduction.- 2 Sequences.- 3 Continuity.- 4 Sequences and Series of Functions.- 5 Differentiation.- 6 Integration.- 7 Capstone.- Appendix on Set Notation.- Selected Hints and Answers.- References.- Index. Review From the reviews of the first edition:"This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis, such as continuity, convergence of sequences and series of numbers, and convergence of sequences and series of functions. There are many nontrivial examples and exercises, which illuminate and extend the material. The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and, in this reviewers opinion, has succeeded admirably."—MATHEMATICAL REVIEWS"This book occupies a niche between a calculus course and a full-blown real analysis course. … I think the book should be viewed as a text for a bridge or transition course that happens to be about analysis … . Lots of counterexamples. Most calculus books get the proof of the chain rule wrong, and Ross not only gives a correct proof but gives an example where the common mis-proof fails." —Allen Stenger (The Mathematical Association of America, June, 2008) Long Description For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the books clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newtons method and the secant method, and continuous nowhere-differentiable functions. Review from the first edition: "This book is intended for the student who has a good, but na Review Quote From the reviews of the first edition: "This book is intended for the student who has a good, but nave, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis, such as continuity, convergence of sequences and series of numbers, and convergence of sequences and series of functions. There are many nontrivial examples and exercises, which illuminate and extend the material. The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and, in this reviewers opinion, has succeeded admirably." --MATHEMATICAL REVIEWS "This book occupies a niche between a calculus course and a full-blown real analysis course. ... I think the book should be viewed as a text for a bridge or transition course that happens to be about analysis ... . Lots of counterexamples. Most calculus books get the proof of the chain rule wrong, and Ross not only gives a correct proof but gives an example where the common mis-proof fails." --Allen Stenger (The Mathematical Association of America, June, 2008) Feature Revised and updated second edition with new material Text for a transition course between calculus and more advanced analysis courses Contains new material on topics such as irrationality of pi, the Baire category theorem, Newtons method and the secant method, and continuous nowhere-differentiable functions Includes new examples and improved proofs Details ISBN1461462703 Author Kenneth A. Ross Language English ISBN-10 1461462703 ISBN-13 9781461462705 Format Hardcover Subtitle The Theory of Calculus Short Title ELEM ANALYSIS 2013/E 2/E Media Book Affiliation University of Oregon Year 2013 Imprint Springer-Verlag New York Inc. Place of Publication New York, NY Country of Publication United States DEWEY 515 Publication Date 2013-04-17 Pages 412 Illustrations XII, 412 p. DOI 10.1007/978-1-4614-6271-2 UK Release Date 2013-04-17 AU Release Date 2013-04-17 NZ Release Date 2013-04-17 US Release Date 2013-04-17 Publisher Springer-Verlag New York Inc. Edition Description 2nd ed. 2013 Series Undergraduate Texts in Mathematics Edition 2nd Alternative 9781493901289 Audience Professional & Vocational Replaces 9781441928115 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96402847;

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