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, more. 1979 edition.
Inhaltsverzeichnis
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
