Calculus Deconstructed: A Second Course in First-Year Calculus - Couverture rigide

Nitecki, Zbigniew H.

 
9780883857564: Calculus Deconstructed: A Second Course in First-Year Calculus

Synopsis

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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À propos de l?auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9781470466756: Calculus Deconstructed: A Second Course in First-Year Calculus

Edition présentée

ISBN 10 :  1470466759 ISBN 13 :  9781470466756
Editeur : American Mathematical Society, 2009
Couverture souple