The Yoga Teacher: Her Husband's Affair

MULTIVARIABLE CALCULUS, Metric, 9th Edition, provides you with the strongest foundation for a STEM future. James Stewart’s Calculus, Metric series is the top-seller in the world because of its problem-solving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, Daniel Clegg and Saleem Watson continue his legacy and their careful refinements retain Stewart’s clarity of exposition and make the 9th edition an even more usable learning tool. The accompanying WebAssign includes helpful learning support and new resources like Explore It interactive learning modules. Showing that Calculus is both practical and beautiful, the Stewart approach and WebAssign resources enhance understanding and build confidence for millions of students worldwide. Cover 1 Contents 8 Preface 12 Technology in the Ninth Edition 21 To the Student 22 Chapter 10: Parametric Equations and Polar Coordinates 24 10.1 Curves Defined by Parametric Equations 25 10.2 Calculus with Parametric Curves 36 10.3 Polar Coordinates 47 10.4 Calculus in Polar Coordinates 57 10.5 Conic Sections 65 10.6 Conic Sections in Polar Coordinates 74 10 Review 82 Problems Plus 85 Chapter 11: Sequences, Series, and Power Series 86 11.1 Sequences 87 11.2 Series 101 11.3 The Integral Test and Estimates of Sums 114 11.4 The Comparison Tests 123 11.5 Alternating Series and Absolute Convergence 128 11.6 The Ratio and Root Tests 137 11.7 Strategy for Testing Series 142 11.8 Power Series 144 11.9 Representations of Functions as Power Series 150 11.10 Taylor and Maclaurin Series 158 11.11 Applications of Taylor Polynomials 174 11 Review 184 Problems Plus 188 Chapter 12: Vectors and the Geometry of Space 192 12.1 Three-Dimensional Coordinate Systems 193 12.2 Vectors 199 12.3 The Dot Product 210 12.4 The Cross Product 218 12.5 Equations of Lines and Planes 227 12.6 Cylinders and Quadric Surfaces 238 12 Review 246 Problems Plus 250 Chapter 13: Vector Functions 252 13.1 Vector Functions and Space Curves 253 13.2 Derivatives and Integrals of Vector Functions 261 13.3 Arc Length and Curvature 267 13.4 Motion in Space: Velocity and Acceleration 279 13 Review 290 Problems Plus 293 Chapter 14: Partial Derivatives 296 14.1 Functions of Several Variables 297 14.2 Limits and Continuity 314 14.3 Partial Derivatives 324 14.4 Tangent Planes and Linear Approximations 337 14.5 The Chain Rule 348 14.6 Directional Derivatives and the Gradient Vector 357 14.7 Maximum and Minimum Values 371 14.8 Lagrange Multipliers 383 14 Review 394 Problems Plus 398 Chapter 15: Multiple Integrals 400 15.1 Double Integrals over Rectangles 401 15.2 Double Integrals over General Regions 414 15.3 Double Integrals in Polar Coordinates 425 15.4 Applications of Double Integrals 432 15.5 Surface Area 442 15.6 Triple Integrals 445 15.7 Triple Integrals in Cylindrical Coordinates 458 15.8 Triple Integrals in Spherical Coordinates 465 15.9 Change of Variables in Multiple Integrals 472 15 Review 480 Problems Plus 484 Chapter 16: Vector Calculus 486 16.1 Vector Fields 487 16.2 Line Integrals 494 16.3 The Fundamental Theorem for Line Integrals 507 16.4 Green's Theorem 517 16.5 Curl and Divergence 524 16.6 Parametric Surfaces and Their Areas 533 16.7 Surface Integrals 545 16.8 Stokes' Theorem 558 16.9 The Divergence Theorem 564 16.10 Summary 571 16 Review 572 Problems Plus 576 Appendixes 578 F: Proofs of Theorems 578 G: Answers to Odd-Numbered Exercises 582 Index 616 WCN:,02-300 WCN: 02-300