ENGLISH

Infinitesimal Calculus

Book information

Publisher
Dover Publications
Year
2014
ISBN
9780486151014, 0486151018
Language
english
Format
AZW3
Filesize
5 MB (5105516 bytes)
Series
EBL-Schweitzer;Dover Books on Mathematics
Edition
Online-ausg
Pages
420 Seiten\0
Time added
2020-07-26 19:24:52

Description

Cover; Title Page; Copyright Page; Dedication; 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 Quasi-big Sets; Appendix B The Proof of Theorem 3.1; Subject Index; Name Index. 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.

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