Ebook: Infinitesimal Calculus

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.