Infinitesimal Calculus

Nonfiction, Science & Nature, Mathematics, Calculus
Cover of the book Infinitesimal Calculus by James M. Henle, Eugene M. Kleinberg, Dover Publications
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Author: James M. Henle, Eugene M. Kleinberg ISBN: 9780486151014
Publisher: Dover Publications Publication: January 15, 2014
Imprint: Dover Publications Language: English
Author: James M. Henle, Eugene M. Kleinberg
ISBN: 9780486151014
Publisher: Dover Publications
Publication: January 15, 2014
Imprint: Dover Publications
Language: English

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. Numerous figures. 1979 edition.

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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. Numerous figures. 1979 edition.

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