Introductory Analysis: A Deeper View of Calculus [Hardcover]

Richard J. Bagby (Author)

Book Description

ISBN-10: 0120725509 | ISBN-13: 978-0120725502 | Publication Date: June 28, 2000 | Edition: 1

Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision, the author explains the material in terms that help the reader gain a firmer grasp of calculus concepts.

* Written in an engaging, conversational tone and readable style while softening the rigor and theory
* Takes a realistic approach to the necessary and accessible level of abstraction for the secondary education students
* A thorough concentration of basic topics of calculus
* Features a student-friendly introduction to delta-epsilon arguments
* Includes a limited use of abstract generalizations for easy use
* Covers natural logarithms and exponential functions
* Provides the computational techniques often encountered in basic calculus

Editorial Reviews

Review

"The author is an extremely good writer. His high level of enthusiasm for the subject matter and intimate knowledge of the subject is echoed throughout...."
--Professor Charles Waters, Mankato State University
"This book is an elegant unified presentation of the basic concepts of calculus. The conversational style makes the book very readable, not only for mature students, but also for students who have only taken a basic calculus sequence....Students learn not only how to prove a theorem, they also gain an insight in the nature of a proof."
--Professor Jung H. Tsai, SUNY College at Geneseo

From the Back Cover

"The author is an extremely good writer. His high level of enthusiasm for the subject matter and intimate knowledge of the subject is echoed throughout...."
--Professor Charles Waters, Mankato State University
"This book is an elegant unified presentation of the basic concepts of calculus. The conversational style makes the book very readable, not only for mature students, but also for students who have only taken a basic calculus sequence....Students learn not only how to prove a theorem, they also gain an insight in the nature of a proof."
--Professor Jung H. Tsai, SUNY College at Geneseo
Introductory Analysis: A Deeper View of Calculus addresses the needs of students taking a course in analysis after completing a semester or two of college level calculus. Textbooks written at this level often assume mathematics majors as their primary audience. This book offers a practical alternative. By using a conversational tone and style that nonetheless does not compromise mathematical rigor, the author explains real analysis in terms that help the reader gain a firmer grasp of calculus concepts before studying more rigorous or abstract mathematics.

Product Details

• Hardcover: 201 pages
• Publisher: Academic Press; 1 edition (June 28, 2000)
• Language: English
• ISBN-10: 0120725509
• ISBN-13: 978-0120725502
• Product Dimensions: 9 x 6.1 x 0.6 inches
• Shipping Weight: 15.2 ounces
• Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #2,743,617 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

6 of 6 people found the following review helpful:

4.0 out of 5 stars an informal tone for a broader audience, January 2, 2005

By 

W Boudville (Terra, Sol 3) - See all my reviews
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This review is from: Introductory Analysis: A Deeper View of Calculus (Hardcover)

There are many ways to teach calculus. Typically, for maths majors, a rigorous epsilon-delta approach has been favoured. So we get the classic texts by Spivak, Apostol and Marsden, for example. But a problem is that this approach often turns off many students who need a firm understanding of calculus and classical analysis. They may not be maths majors. Instead, they could be majoring in engineering or the physical sciences. So Bagby offers them a more informal approach.

He does not deprecate rigour. But by presenting his narrative in a casual way, he gains the flexibility in recasting important concepts of proofs in a way understandable to more readers.

Even maths majors may want to consider having his text, as a backup to their more formal books. Because sometimes the arguments given in the latter's proofs can be very difficult to understand and generalise.