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Calculus: Multivariable Version - 9th edition

ISBN10: 0470183462

Edition: 9TH 09
Publisher: John Wiley & Sons, Inc.
Published: 2009
International: No

ISBN10: 0470183462

Edition: 9TH 09

Summary

The ninth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the chapters to make the concepts easier to understand. The Quick Check and Focus on Concepts exercises have been updated as well. Engineers become engaged in the material because of the easy-to-read style and real-world examples.

ChapterARSET=iso-8859-1''>

0. Before Calculus 0.1 Functions 0.2New Functions from Old 0.3Families of Functions 0.4Inverse Functions

Chapter 1 Three-Dimensional Space; Vectors 1.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 1.2 Vectors 1.3 Dot Product; Projections 1.4 Cross Product 1.5 Parametric Equations of Lines 1.6 Planes in 3-Space 1.7 Quadric Surfaces 1.8 Cylindrical and Spherical Coordinates

Chapter 2 Vector-Valued Functions 2.1 Introduction to Vector-Valued Functions 2.2 Calculus of Vector-Valued Functions 2.3

Chapterange of Parameter; Arc Length 2.4 Unit Tangent, Normal, and Binormal Vectors 2.5 Curvature 2.6 Motion Along a Curve 2.7 Kepler's Laws of Planetary Motion

Chapter 3 Partial Derivatives 3.1 Functions of Two or More Variables 3.2 Limits and Continuity 3.3 Partial Derivatives 3.4 Differentiability, Differentials, and Local Linearity 3.5 The

Chapterain Rule 3.6 Directional Derivatives and Gradients 3.7 Tangent Planes and Normal Vectors 3.8 Maxima and Minima of Functions of Two Variables 3.9 Lagrange Multipliers

Chapter 4 Multiple Integrals 4.1 Double Integrals 4.2 Double Integrals over Nonrectangular Regions 4.3 Double Integrals in Polar Coordinates 4.4 Surface Area; Parametric Surfaces} 4.5 Triple Integrals 4.6 Triple Integrals in Cylindrical and Spherical Coordinates 4.7

Chapterange of Variable in Multiple Integrals; Jacobians 4.8 Centers of Gravity Using Multiple Integrals

Chapter 5 Topics in Vector Calculus 5.1 Vector Fields 5.2 Line Integrals 5.3 Independence of Path; Conservative Vector Fields 5.4 Green's Theorem 5.5 Surface Integrals 5.6 Applications of Surface Integrals; Flux 5.7 The Divergence Theorem 5.8 Stokes' Theorem