Kenneth A. Ross ; in collaboration with Jorge M. López, University of Puerto Rico, Río Piedras.
EDITION STATEMENT
Edition Statement
Second edition.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xi, 409 pages :
Other Physical Details
illustrations ;
Dimensions
25 cm.
SERIES
Series Title
Undergraduate texts in mathematics
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 397-401) and indexes.
CONTENTS NOTE
Text of Note
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.
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SUMMARY OR ABSTRACT
Text of 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 -- P. 4 of cover.