دانلود کتاب Single Variable Calculus: Early Transcendentals, Metric Version

فهرست مطالب :

Cover Contents Preface A Tribute to James Stewart About the Authors Technology in the Ninth Edition To the Student Diagnostic Tests A: Diagnostic Test: Algebra B: Diagnostic Test: Analytic Geometry C: Diagnostic Test: Functions D: Diagnostic Test: Trigonometry A Preview of Calculus What Is Calculus? The Area Problem The Tangent Problem A Relationship between the Area and Tangent Problems Summary Chapter 1: Functions and Models 1.1 Four Ways to Represent a Function 1.2 Mathematical Models: A Catalog of Essential Functions 1.3 New Functions from Old Functions 1.4 Exponential Functions 1.5 Inverse Functions and Logarithms 1 Review Principles of Problem Solving Chapter 2: Limits and Derivatives 2.1 The Tangent and Velocity Problems 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit 2.5 Continuity 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivatives and Rates of Change 2.8 The Derivative as a Function 2 Review Problems Plus Chapter 3: Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule 3.5 Implicit Differentiation 3.6 Derivatives of Logarithmic and Inverse Trigonometric Functions 3.7 Rates of Change in the Natural and Social Sciences 3.8 Exponential Growth and Decay 3.9 Related Rates 3.10 Linear Approximations and Differentials 3.11 Hyperbolic Functions 3 Review Problems Plus Chapter 4: Applications of Differentiation 4.1 Maximum and Minimum Values 4.2 The Mean Value Theorem 4.3 What Derivatives Tell Us about the Shape of a Graph 4.4 Indeterminate Forms and l'Hospital's Rule 4.5 Summary of Curve Sketching 4.6 Graphing with Calculus and Technology 4.7 Optimization Problems 4.8 Newton's Method 4.9 Antiderivatives 4 Review Problems Plus Chapter 5: Integrals 5.1 The Area and Distance Problems 5.2 The Definite Integral 5.3 The Fundamental Theorem of Calculus 5.4 Indefinite Integrals and the Net Change Theorem 5.5 The Substitution Rule 5 Review Problems Plus Chapter 6: Applications of Integration 6.1 Areas between Curves 6.2 Volumes 6.3 Volumes by Cylindrical Shells 6.4 Work 6.5 Average Value of a Function 6 Review Problems Plus Chapter 7: Techniques of Integration 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.6 Integration Using Tables and Technology 7.7 Approximate Integration 7.8 Improper Integrals 7 Review Problems Plus Chapter 8: Further Applications of Integration 8.1 Arc Length 8.2 Area of a Surface of Revolution 8.3 Applications to Physics and Engineering 8.4 Applications to Economics and Biology 8.5 Probability 8 Review Problems Plus Chapter 9: Differential Equations 9.1 Modeling with Differential Equations 9.2 Direction Fields and Euler's Method 9.3 Separable Equations 9.4 Models for Population Growth 9.5 Linear Equations 9.6 Predator-Prey Systems 9 Review Problems Plus Chapter 10: Parametric Equations and Polar Coordinates 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Calculus in Polar Coordinates 10.5 Conic Sections 10.6 Conic Sections in Polar Coordinates 10 Review Problems Plus Chapter 11: Sequences, Series, and Power Series 11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests 11.5 Alternating Series and Absolute Convergence 11.6 The Ratio and Root Tests 11.7 Strategy for Testing Series 11.8 Power Series 11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials 11 Review Problems Plus Appendixes Appendix A: Numbers, Inequalities, and Absolute Values Appendix B: Coordinate Geometry and Lines Appendix C: Graphs of Second-Degree Equations Appendix D: Trigonometry Appendix E: Sigma Notation Appendix F: Proofs of Theorems Appendix G: The Logarithm Defined as an Integral Appendix H: Answers to Odd-Numbered Exercises Index