CALCULUS DECONSTRUCTED: A SECOND COURSE IN FIRSTYEAR CALCULUS
CALCULUS DECONSTRUCTED: A SECOND COURSE IN FIRSTYEAR CALCULUS
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 CDE
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>Calculus Deconstructed: A Second Course in FirstYear Calculus
by Zbigniew H. Nitecki
The author has done an excellent job in creating text for a course in advanced calculus... Charles Ashbacher, Journal of Recreational Mathematics
A thorough and mathematically rigorous exposition of singlevariable 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 selfstudy. Standard topics and techniques in singlevariable calculus are presented in the 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 the exercises, proofs are available for all the basic results of calculus for functions of one real variable. Solutions Manual available with adoption orders.
 Brand name: MAA
 Author: Zbigniew H. Nitecki
 ISBN:9780883857564
 650 pp.
 Hardcover
 2009
 Series: Textbooks
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