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Multivariable Calculus

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ISBN-10: 0534465757

ISBN-13: 9780534465759

Edition: 2010

Authors: Soo T. Tan

List price: $172.95
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Book details

List price: $172.95
Copyright year: 2010
Publisher: Brooks/Cole
Publication date: 11/13/2009
Binding: Hardcover
Pages: 568
Size: 8.50" wide x 10.25" long x 0.75" tall
Weight: 2.794
Language: English

Soo T. Tan has published numerous papers in Optimal Control Theory and Numerical Analysis. He received his S.B. degree from Massachusetts Institute of Technology, his M.S. degree from the University of Wisconsin-Madison, and his Ph.D. from the University of California at Los Angeles. "One of the most important lessons I learned from my early experience teaching these courses is that many of the students come into these courses with some degree of apprehension. This awareness led to the intuitive approach I have adopted in all of my texts."

Conic Sections, Parametric Equations, And Polar Coordinates
Conic Sections
Plane Curves and Parametric Equations
The Calculus of Parametric Equations
Polar Coordinates
Areas and Arc Lengths in Polar Coordinates
Conic Sections in Polar Coordinates
Chapter Review
Challenge Problems
Vectors And The Geometry Of Space
Vectors in the Plane
Coordinate Systems and Vectors in Three-Space
The Dot Product
The Cross Product
Lines and Planes in Space
Surfaces in Space
Cylindrical and Spherical Coordinates
Chapter Review
Challenge Problems
Vector-Valued Functions
Vector-Valued Functions and Space Curves
Differentiation and Integration of Vector- Valued Functions
Arc Length and Curvature
Velocity and Acceleration
Tangential and Normal Components of Acceleration
Chapter Review
Challenge Problems
Functions Of Several Variables
Functions of Two or More Variables
Limits and Continuity
Partial Derivatives
Differentials
The Chain Rule
Directional Derivatives and Gradient Vectors
Tangent Planes and Normal Lines
Extrema of Functions of Two Variables
Lagrange Multipliers
Chapter Review
Challenge Problems
Mulitple Integrals
Double Integrals
Iterated Integrals
Double Integrals in Polar Coordinates
Applications of Double Integrals
Surface Area
Triple Integrals
Triple Integrals in Cylindrical and Spherical Coordinates
Change of Variables in Multiple Integrals
Chapter Review
Challenge Problems
Vector Analysis
Vector Fields
Divergence and Curl
Line Integrals
Independence of Path and Conservative Vector Fields
Green's Theorem
Parametric Surfaces
Surface Integrals
The Divergence Theorem
Stoke's Theorem
Chapter Review
Challenge Problems
Appendices
The Real Number Line, Inequalities, and Absolute Value
Proofs of Selected Theorems