حساب دیفرانسیل و انتگرال: ویرایش سوم

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