Calculus Deconstructed: A Second Course in First-Year Calculus - Hardcover

Nitecki, Zbigniew H.

Hardcover

ISBN 10: 0883857561 ISBN 13: 9780883857564

Publisher: American Mathematical Society, 2009

Synopsis

Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basica analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject. No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum,

About this title

About the Author

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2009
• Language: English
• ISBN 10: 0883857561
• ISBN 13: 9780883857564
• Binding: Hardcover
• Edition number: 1
• Number of pages: 508