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Informationen zum Autor John L. Bell is Professor of Philosophy at the University of Western Ontario. He is the author of 7 other books, including Models and Ultraproducts with A. B. Slomson, A Course in Mathematical Logic with M. Machover, Logical Options with D. DeVidi and G. Solomon, Set Theory: Boolean-Valued Models and Independence Proofs, and The Continuous and the Infinitesimal in Mathematics and Philosophy. Klappentext A rigorous! axiomatically formulated presentation of the 'zero-square'! or 'nilpotent' infinitesimal. Zusammenfassung In this new edition basic calculus! together with some of its applications to simple physical problems! are presented through the use of a straightforward! rigorous! axiomatically formulated concept of 'zero-square'! or 'nilpotent' infinitesimal. This edition also contains an expanded historical and philosophical introduction. Inhaltsverzeichnis 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.
