MULTIVARIABLE CALCULUS, Metric, 9th Edition, provides you with the strongest foundation for a STEM future. James Stewarts 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 Stewarts 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.
10. PARAMETRIC EQUATIONS AND POLAR COORDINATES.
Curves Defined by Parametric Equations. Discovery Project: Running Circles
Around Circles. Calculus with Parametric Curves. Discovery Project: Bézier
Curves. Polar Coordinates. Discovery Project: Families of Polar Curves.
Calculus in Polar Coordinates. Conic Sections. Conic Sections in Polar
Coordinates. Review. Problems Plus.
11. SEQUENCES, SERIES, AND POWER SERIES.
Sequences. Discovery Project: Logistic Sequences. Series. The Integral Test
and Estimates of Sums. The Comparison Tests. Alternating Series and Absolute
Convergence. The Ratio and Root Tests. Strategy for Testing Series. Power
Series. Representations of Functions as Power Series. Taylor and Maclaurin
Series. Discovery Project: An Elusive Limit. Writing Project: How Newton
Discovered the Binomial Series. Applications of Taylor Polynomials. Applied
Project: Radiation from the Stars. Review. Problems Plus.
12. VECTORS AND THE GEOMETRY OF SPACE.
Three-Dimensional Coordinate Systems. Vectors. Discovery Project: The Shape
of Hanging Chain. The Dot Product. The Cross Product. Discovery Project: The
Geometry of a Tetrahedron. Equations of Lines and Planes. Discovery Project:
Putting 3D in Perspective. Cylinders and Quadric Surfaces. Review. Problems
Plus.
13. VECTOR FUNCTIONS.
Vector Functions and Space Curves. Derivatives and Integrals of Vector
Functions. Arc Length and Curvature. Motion in Space: Velocity and
Acceleration. Applied Project: Keplers Laws. Review. Problems Plus.
14. PARTIAL DERIVATIVES.
Functions of Several Variables. Limits and Continuity. Partial Derivatives.
Discovery Project: Deriving the Cobb-Douglas Production Function. Tangent
Planes and Linear Approximations. Applied Project: The Speedo LZR Racer. The
Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and
Minimum Values. Discovery Project: Quadratic Approximations and Critical
Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied
Project: Hydro-Turbine Optimization. Review. Problems Plus.
15. MULTIPLE INTEGRALS.
Double Integrals over Rectangles. Double Integrals over General Regions.
Double Integrals in Polar Coordinates. Applications of Double Integrals.
Surface Area. Triple Integrals. Discovery Project: Volumes of Hyperspheres.
Triple Integrals in Cylindrical Coordinates. Discovery Project: The
Intersection of Three Cylinders. Triple Integrals in Spherical Coordinates.
Applied Project: Roller Derby. Change of Variables in Multiple Integrals.
Review. Problems Plus.
16. VECTOR CALCULUS.
Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals.
Greens Theorem. Curl and Divergence. Parametric Surfaces and Their Areas.
Surface Integrals. Stokes Theorem. The Divergence Theorem. Summary. Review.
Problems Plus.
APPENDIXES.
A: Numbers, Inequalities, and Absolute Values. B: Coordinate Geometry and
Lines. C: Graphs of Second-Degree Equations. D: Trigonometry. E: Sigma
Notation. F: Proofs of Theorems. G: The Logarithm Defined as an Integral. H:
Answers to Odd-Numbered Exercises.
INDEX.
James Stewart received the M.S. degree from Stanford University and the Ph.D. from the University of Toronto. After two years as a postdoctoral fellow at the University of London, he became Professor of Mathematics at McMaster University. His research has been in harmonic analysis and functional analysis. Stewarts books include a series of high school textbooks as well as a best-selling series of calculus textbooks published by Cengage Learning. He is also co-author, with Lothar Redlin and Saleem Watson, of a series of college algebra and precalculus textbooks. Translations of his books include those into Spanish, Portuguese, French, Italian, Korean, Chinese, Greek, Indonesian and Japanese. A talented violinist, Stewart was concertmaster of the McMaster Symphony Orchestra for many years and played professionally in the Hamilton Philharmonic Orchestra. He has given more than 20 talks worldwide on mathematics and music. Stewart was named a Fellow of the Fields Institute in 2002 and was awarded an honorary D.Sc. in 2003 by McMaster University. The library of the Fields Institute is named after him. The James Stewart Mathematics Centre was opened in October, 2003, at McMaster University. Daniel Clegg received his B.A. in Mathematics from California State University, Fullerton and his M.A. in Mathematics from UCLA. He is currently a professor of mathematics at Palomar College near San Diego, California, where he has taught for more than 20 years. Clegg co-authored BRIEF APPLIED CALCULUS with James Stewart and also assisted Stewart with various aspects of his calculus texts and ancillaries for almost 20 years. Saleem Watson received his bachelor of science degree from Andrews University in Michigan. He completed his graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. Dr. Watson conducted subsequently research at the Mathematics Institute of the University of Warsaw in Poland. He taught mathematics at Pennsylvania State University before serving at California State University, Long Beach, where he is currently professor emeritus. Dr. Watson's research encompasses the field of functional analysis. Dr. Watson is an important co-author for Dr. Stewart's best-selling calculus textbook series as well as his popular precalculus, college algebra and trigonometry texts.
