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Catalogue Information
Field name	Details
Dewey Class	515
Title	Elementary Analysis (EB) : The Theory of Calculus / by Kenneth A. Ross.
Author	Ross, Kenneth A. , 1936-
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2013.
Publication	New York, NY : Springer
Publication	, 2013.
Physical Details	XI, 409 pages : 35 illus. : online resource.
Series	Undergraduate texts in mathematics 0172-6056
ISBN	9781461462712
Summary Note	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 naÃ¯ve, 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":
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-6271-2
Links to Related Works	Subject References: Analysis . Global analysis (Mathematics) . Mathematics . Real Functions . Authors: Ross, Kenneth A. 1936- . Corporate Authors: SpringerLink (Online service) . Series: Undergraduate texts in mathematics . Classification: 515 . 515 (DDC 23) .

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Elementary Analysis: The Theory of Calculus

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