9781461462705

Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)

Kenneth A. Ross

ISBN 10: 1461462703 / 1-4614-6270-3
ISBN 13: 9781461462705
Publisher: Springer
Publication Date: 2013-05-29
Binding: Hardcover
Editorial Reviews:
Synopsis:

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 book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs.  New topics include material on the irrationality of pi, the Baire category theorem, Newton's 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 naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis.... The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and ... has succeeded admirably."—MATHEMATICAL REVIEWS


 
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Elementary Analysis: The Theory Of Calculus (ISBN: 1461462703 / 1-4614-6270-3)
Ross, K. A.
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ELEMENTARY ANALYSIS: THE THEORY OF CALCULUS, 2ND EDITION (ISBN: 9781461462705)
ROSS KENNETH A.
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Ross, Kenneth A.
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Elementary Analysis: The Theory of Calculus (Hardback) (ISBN: 9781461462705)
Kenneth A. Ross
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Book Description: Springer-Verlag New York Inc., United States, 2013. Hardback. Book Condition: New. 2nd ed. 2013. 234 x 156 mm. Brand New Book. 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 book s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton s 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 naive, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis.The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and .has succeeded admirably. -MATHEMATICAL REVIEWS. Bookseller Inventory # AAU9781461462705

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Elementary Analysis: The Theory of Calculus (Hardback) (ISBN: 9781461462705)
Kenneth A. Ross
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Book Description: Springer-Verlag New York Inc., United States, 2013. Hardback. Book Condition: New. 2nd ed. 2013. 234 x 156 mm. Brand New Book. 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 book s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton s 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 naive, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis.The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and .has succeeded admirably. -MATHEMATICAL REVIEWS. Bookseller Inventory # AAU9781461462705

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Kenneth A. Ross
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Book Description: Springer-Verlag New York Inc., New York, NY, 2013. Book Condition: New. Language: english. For three decades, this classic has been a must-have textbook for transitional courses from calculus to analysis, celebrated for its clear style and simple proofs. This edition adds material on the irrationality of pi, the Baire category theorem and more. Bookseller Inventory # 26436985

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