Infinitesimal Calculus - Brossura

Henle, James M.; Kleinberg, Eugene M.

Brossura

ISBN 10: 0486428869 ISBN 13: 9780486428864

Casa editrice: Dover Pubns, 2003

Riassunto

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.

Su questo libro

Contenuti

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 Quasi-big Sets Appendix B The Proof of Theorem 3.1 Subject Index Name Index

Product Description

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.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0486428869
• ISBN 13: 9780486428864
• Rilegatura: Copertina flessibile
• Numero di pagine: 135
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia