دانلود کتاب Multivariable Calculus

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Cover Contents Preface Technology in the Ninth Edition To the Student 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 F: Proofs of Theorems Appendix G: Answers to Odd-Numbered Exercises Index