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

Ross, Kenneth A.

  • 3.87 out of 5 stars
    182 ratings by Goodreads
 
9781493901289: Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)
Softcover
ISBN 10: 1493901281 ISBN 13: 9781493901289
Publisher: Springer, 2015

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.

"synopsis" may belong to another edition of this title.

About the Author

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.

From the Back Cover

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

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2015
Language
English
ISBN 10 
1493901281
ISBN 13 
9781493901289
Binding
Paperback
Edition number
2
Number of pages
424
Rating
  • 3.87 out of 5 stars
    182 ratings by Goodreads

Other Popular Editions of the Same Title

9781461462705: Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)

Featured Edition

ISBN 10:  1461462703 ISBN 13:  9781461462705
Publisher: Springer Nature, 2013
Hardcover