XWe have detected your location as outside the U.S/Canada, if you think this is wrong, you can choose your location.

Macmillan Higher Education Celebrating 20 years of Macmillan Study Skills

Cart

Continue Shopping
All prices are shown excluding Tax
The submitted promocode is invalid
* Applied promocode: ×

Important information on your ebook order

Elementary Analysis (2nd Edition)

The Theory of Calculus

Author(s):
Publisher:

Springer

Pages: 412
Further Actions:

Recommend to library

AVAILABLE FORMATS

Paperback - 9781493901289

08 February 2015

$59.95

In stock

Hardcover - 9781461462705

29 May 2013

$59.95

Free Shipping

In stock

Ebook - 9781461462712

16 April 2013

$44.99

In stock

All prices are shown excluding Tax

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...

Show More

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.

Show Less

Revised and updated second edition with new material

Text for a transition course between calculus and more advanced analysis courses

Contains new material on topics such as irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions

Includes new examples and improved proofs

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.
From the reviews of 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, such as continuity, convergence of sequences and series of numbers, and convergence of sequences and series of functions. There are many nontrivial examples and exercises, which illuminate and extend the material. The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and, in this reviewer’s opinion, has succeeded admirably."
—MATHEMATICAL REVIEWS
"This book occupies a niche between a calculus course and a full-blown real analysis course. … I think the book should be viewed as a text for a bridge or transition course that happens to be about analysis … . Lots of counterexamples. Most calculus books get the proof of the chain rule wrong, and Ross not only gives a correct proof but gives an example where the common mis-proof fails."
—Allen Stenger (The Mathematical Association of America, June, 2008)
Add a review

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.

Show More

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.

Show Less

New Publications 

Best Sellers