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Calculus Deconstructed - A Second Course in First-Year Calculus (Paperback): Zbigniew H. Nitecki Calculus Deconstructed - A Second Course in First-Year Calculus (Paperback)
Zbigniew H. Nitecki
R1,240 Discovery Miles 12 400 Ships in 12 - 17 working days

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.

Global Theory of Dynamical Systems - Proceedings of an International Conference Held at Northwestern University, Evanston,... Global Theory of Dynamical Systems - Proceedings of an International Conference Held at Northwestern University, Evanston, Illinois, June 18-22, 1979 (Paperback, 1980 ed.)
Zbigniew H. Nitecki, C. Robinson
R2,177 Discovery Miles 21 770 Ships in 10 - 15 working days
Calculus Deconstructed - A Second Course in First-Year Calculus (Hardcover): Zbigniew H. Nitecki Calculus Deconstructed - A Second Course in First-Year Calculus (Hardcover)
Zbigniew H. Nitecki
R1,491 Discovery Miles 14 910 Ships in 9 - 15 working days

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.

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