Elementary calculus: an infinitesimal approach

H. Jerome Keisler9780871509116, 0871509113

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.

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Table of contents :
Preface……Page 3
Table of Contents……Page 6
Introduction……Page 10
Chapter 1……Page 11
Chapter 2……Page 53
Chapter 3……Page 115
Chapter 4……Page 185
Chapter 5……Page 247
Chapter 6……Page 312
Chapter 7……Page 375
Chapter 8……Page 441
Chapter 9……Page 502
Chapter 10……Page 574
Chapter 11……Page 649
Chapter 12……Page 721
Chapter 13……Page 795
Chapter 14……Page 856
Epilogue……Page 912
Appendix……Page 924
Index……Page 980
Cover Material……Page 989