Elementary calculus : an infinitesimal approach

Author(s)

• Keisler, H. Jerome

Bibliographic Information

Elementary calculus : an infinitesimal approach

H. Jerome Keisler

Prindle, Weber & Schmidt, c1986

2nd ed

Note

Includes index

Description and Table of Contents

Description

This book is concerned with the infinitesimal approach originally set forth by Newton and Leibnitz. The author has moved the theoretical material from Chapter One to an Appendix in this edition. A new chapter on differential equations has been added and the transcendental functions have been fully integrated into the first section. This book should be of interest to first and second year undergraduate mathematics students.

Table of Contents

Real and hyperreal numbers. Differentiation. Continuous functions. Integration. Limits, analytic geometry, and approximations. Applications of the integral. Trigonometric functions. Exponential and logarithmic functions. Infinite series. Vectors. Partial differentiation. Multiple integrals. Vector calculus. Differential equations. Epilogue. Appendix. Answers to selected problems. Index.

by "Nielsen BookData"

• NCID: BA00195934
• ISBN:
  • 0871509113
• LCCN: 85006429
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Boston, Mass.
• Pages/Volumes: xi, 913, 65 p.
• Size: 26 cm
• Classification:
  • LCC : QA303
  • DC19 : 515
• Subject Headings:
  • LCSH : Calculus