Infinitesimal Calculus (Dover Books on Mathematics)

James M. Henle

ISBN 10: 0486428869 / ISBN 13: 9780486428864

Editore: Dover Publications, 2003

Item in acceptable condition! Textbooks may not include supplemental items i.e. CDs, access codes etc. Codice articolo 00104516285

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.

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

Dati bibliografici

Titolo: Infinitesimal Calculus (Dover Books on ...
Casa editrice: Dover Publications
Data di pubblicazione: 2003
Legatura: Brossura
Condizione: Acceptable