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Infinitesimal Calculusby James M Henle
Synopses & ReviewsPublisher Comments:Rigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language and Structure. 3. The Hyperreal Numbers. 4. The Hyperreal Line. 5. Continuous Functions. 6. Integral Calculus. 7. Differential Calculus. 8. The Fundamental Theorem. 9. Infinite Sequences and Series. 10. Infinite Polynomials. 11. The Topology of the Real Line. 12. Standard Calculus and Sequences of Functions. Appendixes. Subject Index. Name Index. Unabridged republication of the edition published by The MIT Press, Cambridge, MA, 1979. Numerous figures. Book News Annotation:Originally published by MIT Press in 1979, this textbook provides a rigorous development of calculus using infinitesimals in the style of Abraham Robinson, concentrating on the theory behind both integral and differential calculus rather than their practical application. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com)
Synopsis:Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition. Synopsis:Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of the real line, and standard calculus and sequences of functions. Only high school mathematics needed. 1979 edition. Table of Contents Preface
1 Introduction 2 Language and Structure 3 The Hyperreal Numbers 4 The Hyperreal Line 5 Continuous Functions 6 Integral Calculus 7 Differential Calculus 8 The Fundamental Theorem 9 Infinite Sequences and Series 10 Infinite Polynomials 11 The Topology of the Real Line 12 Standard Calculus and Sequences of Functions Appendix A Defining Quasibig Sets Appendix B The Proof of Theorem 3.1 Subject Index Name Index What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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