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 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. 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. 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.
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EAN: 9781461462705
UPC: 9781461462705
ISBN: 9781461462705
MPN: N/A
Item Length: 23.6 cm
Number of Pages: 412 Pages
Language: English
Publication Name: Elementary Analysis: the Theory of Calculus
Publisher: Springer-Verlag New York Inc.
Publication Year: 2013
Subject: Mathematics
Item Height: 235 mm
Item Weight: 7568 g
Type: Textbook
Author: Kenneth A. Ross
Series: Undergraduate Texts in Mathematics
Item Width: 155 mm
Format: Hardcover
