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A Primer of Infinitesimal Analysis

John L. Bell
Publisher: 
Cambridge University Press
Publication Date: 
2008
Number of Pages: 
124
Format: 
Hardcover
Edition: 
2
Price: 
60.00
ISBN: 
9780521887182
Category: 
Monograph
[Reviewed by
Fernando Q. Gouvêa
, on
04/24/2008
]

See Marion Cohen's review of the first edition. In the preface, the author indicates that for this second edition he has "added some new material and taken the opportunity to correct a number of errors."

Introduction; 1. Basic features of smooth worlds; 2. Basic differential calculus; 3. First applications of the differential calculus; 4. Applications to physics; 5. Multivariable calculus and applications; 6. The definite integral: Higher order infinitesimals; 7. Synthetic geometry; 8. Smooth infinitesimal analysis as an axiomatic system; Appendix; Models for smooth infinitesimal analysis.

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