Calculus Deconstructed: A Second Course in First-Year Calculus (MAA Textbooks) - Softcover

Zbigniew H. Nitecki (author)

Softcover

ISBN 10: 1470466759 ISBN 13: 9781470466756

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 basic 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, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2009
• Language: English
• ISBN 10: 1470466759
• ISBN 13: 9781470466756
• Binding: Paperback
• Number of pages: 508