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 singlevariable 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 pencilandpaper 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.
About Zbigniew H. Nitecki
Zbigniew Nitecki is a Professor of Mathematics at Tufts University, where he has been since 1972. Previously he was a Gibbs Instructor at Yale (196971) and Assistant Professor at CCNY (19712). 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.Details Book
Author  :  Zbigniew H. Nitecki 
Publisher  :  Mathematical Association of America 
Data Published  :  21 May 2009 
ISBN  :  0883857561 
EAN  :  9780883857564 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  508 pages 
Age +  :  18 years 
Language  :  English 
Rating  : 
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