eBook for Calculus, Early Transcendentals 9th Edition By James Stewart, Daniel Clegg, Saleem Watson

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eBook for Calculus, Early Transcendentals, 9th Edition By James Stewart, Daniel K. Clegg, Saleem Watson Get all 16 Chapters eBook Pdf. Table of Contents A Relationship between the Area and T... angent 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 Chapter 12: Vectors and the Geometry of Space 12.1 Three-Dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Equations of Lines and Planes 12.6 Cylinders and Quadric Surfaces 12 Review Problems Plus Chapter 13: Vector Functions 13.1 Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 13.3 Arc Length and Curvature 13.4 Motion in Space: Velocity and Acceleration 13 Review Problems Plus Chapter 14: Partial Derivatives 14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Planes and Linear Approximations 14.5 The Chain Rule 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers 14 Review Problems Plus Chapter 15: Multiple Integrals 15.1 Double Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Double Integrals in Polar Coordinates 15.4 Applications of Double Integrals 15.5 Surface Area 15.6 Triple Integrals 15.7 Triple Integrals in Cylindrical Coordinates 15.8 Triple Integrals in Spherical Coordinates 15.9 Change of Variables in Multiple Integrals 15 Review Problems Plus Chapter 16: Vector Calculus 16.1 Vector Fields 16.2 Line Integrals 16.3 The Fundamental Theorem for Line Integrals 16.4 Green's Theorem 16.5 Curl and Divergence 16.6 Parametric Surfaces and Their Areas 16.7 Surface Integrals 16.8 Stokes' Theorem 16.9 The Divergence Theorem 16.10 Summary 16 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 [Show More]

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