حساب دیفرانسیل و انتگرال یک متغیره

Calculus of One Variable, Second Edition presents the essential topics in the study of the techniques and theorems of calculus. The book provides a comprehensive introduction to calculus. It contains examples, exercises, the history and development of calculus, and various applications. Some of the topics discussed in the text include the concept of limits, one-variable theory, the derivatives of all six trigonometric functions, exponential and logarithmic functions, and infinite series. This textbook is intended for use by college students. Content: Front Matter,Dedication,Copyright,Preface,To the InstructorEntitled to full text1 - 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 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 TABLES, Pages A47-A59 Answers to Odd-Numbered Problems and Review Exercises, Pages A60-A121 Index, Pages I-1-I-7