Infinitesimal Calculus (Dover Books on Mathematics)

Acknowledged authors James M. Henle, Eugene M. Kleinberg wrote Infinitesimal Calculus (Dover Books on Mathematics) comprising 144 pages back in 2003. Textbook and eTextbook are published under ISBN 0486428869 and 9780486428864. Since then Infinitesimal Calculus (Dover Books on Mathematics) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

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.