Calculus

Content: 
Front Matter, Page iii
Dedication, Page iv
Copyright, Page iv
Preface, Pages xiii-xx
To the Instructor, Pages xxi-xxiii
1 - Preliminaries, Pages 1-54
2 - Limits and Derivatives, Pages 55-136
3 - More about Derivatives, Pages 137-191
4 - Applications of the Derivative, Pages 192-264
5 - The Integral, Pages 265-348
6 - Exponentials and Logarithms, Pages 349-425
7 - More on Trigonometric Functions and the Hyperbolic Functions, Pages 426-461
8 - Techniques of Integration, Pages 462-526
9 - Further Applications of the Definite Integral, Pages 527-576
10 - Topics in Analytic Geometry, Pages 577-607
11 - Polar Coordinates, Pages 608-640
12 - Indeterminate Forms and Improper Integrals, Pages 641-666
13 - Taylor Polynomials and Approximation, Pages 667-688
14 - Sequences and Series, Pages 689-756
15 - Vectors in the Plane, Pages 757-781
16 - Vector Functions, Vector Differentiation, and Parametric Equations, Pages 782-837
17 - Vectors in Space, Pages 838-899
18 - Differentiation of Functions of Two and Three Variables, Pages 900-996
19 - Multiple Integration, Pages 997-1055
20 - Introduction to Vector Analysis, Pages 1056-1133
21 - Ordinary Differential Equations, Pages 1134-1178
Appendix 1 - Review of Trigonometry, Pages A1-A16
Appendix 2 - Mathematical Induction, Pages A17-A21
Appendix 3 - Determinants, Pages A22-A32
Appendix 4 - The Binomial Theorem, Pages A33-A36
Appendix 5 - The Proofs of Some Theorems on Limits, Continuity, and Differentiation, Pages A37-A46
Appendix 6 - Complex Numbers, Pages A47-A55
TABLES, Pages A56-A68
Answers to Odd-Numbered Problems and Review Exercises, Pages A69-A147
Index, Pages I-1-I-11