Elementary analysis
the theory of calculus
6th corr. print.
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Author
Publication
1993 - Springer-Verlag, New York, New York (State)
Language
English
Word Count
66,000 words, Guess
Page Count
264 pages
Identifiers
- Internet Archiveelementaryanalys00ross
- Internet Archiveelementaryanalys00ross_524
- ISBN-10038790459X
- ISBN-139780387904597
- LibraryThing302365
and 5 more
- Goodreads236944
- Library of Congress Control Number93235921
- Library of Congress Control Number99224968
- Library of Congress Control Number96152646
- Open LibraryOL1039328M
Classifications
- DDC515
- LCCQA303 .R726 1993
- LCCQA303 .R726 1996
and 1 more
- LCCQA303 .R726 1990
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.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
Subjects
Topics
Series Statement
- Undergraduate texts in mathematics
Other Editions
- Elementary analysis: the theory of calculus
Show 2 more editions
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