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Calculus Deconstructed
A Second Course in First-Year Calculus

$63.00 (P)

Part of Mathematical Association of America Textbooks

Author: Zbigniew H. Nitecki, Tufts University, Massachusetts

Date Published: May 2009
availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
format: Hardback
isbn: 9780883857564

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$ 63.00 (P)
Hardback

This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.

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About the Authors

This book serves as a textbook for an undergraduate calculus course. It is written for readers with some previous exposure to the techniques of calculus who would like to see the subject in a conceptual framework. The book combines a review of methods of single-variable calculus with a mathematically rigorous development of their justification. No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof are introduced by example along the way. Between the text and the exercises, proofs are available for all the basic results of calculus for functions of one real variable. Exercises include Practice Problems (reinforcing calculation techniques), Theory Problems (developing understanding of proofs), Challenge Problems (pushing the limits, exploring related ideas) and Historical Notes (guided pencil-and-paper tours of the arguments of the masters). Topics include limits of sequences, continuity, differentiation, the Riemann integral and power series, along with other optional sections.
- Includes notes which explore the arguments of the originators of the subject
- Numerous examples reinforce both practical and theoretical understanding
- No previous experience with mathematical proof is assumed
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Product details
- Date Published: May 2009
- format: Hardback
- isbn: 9780883857564
- length: 508 pages
- dimensions: 260 x 181 x 31 mm
- weight: 1.03kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
Preface
Contents
1. Precalculus
2. Sequences and their limits
3. Continuity
4. Differentiation
5. Integration
6. Power series
A. Methods of proof
B. Answers to selected problems
Bibliography
Index.
Author
Zbigniew H. Nitecki, Tufts University, Massachusetts
Zbigniew Nitecki is a Professor of Mathematics at Tufts University, where he has been since 1972. Previously he was a Gibbs Instructor at Yale (1969–71) and Assistant Professor at CCNY (1971–2). He is a contributing editor for Real Analysis Exchange and an associate editor for Qualitative Theory of Dynamical Systems. His research interests are primarily in dynamical systems theory and he has published books and articles on the subject.