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Calculus Multivariable

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ISBN-10: 0470453591

ISBN-13: 9780470453599

Edition: 2nd 2011

Authors: Brian E. Blank, Steven G. Krantz

List price: $219.95
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Book details

List price: $219.95
Edition: 2nd
Copyright year: 2011
Publisher: John Wiley & Sons, Limited
Publication date: 12/14/2010
Binding: Hardcover
Pages: 504
Size: 8.30" wide x 10.10" long x 0.90" tall
Weight: 2.728

Vectors
Preview
Vectors in the Plane
Vectors in Three-Dimensional Space
The Dot Product and Applications
The Cross Product and Triple Product
Lines and Planes in Space
Summary of Key Topics in Chapter 9
Review Exercises for Chapter 9
Genesis and Development
Curves in Space
Preview
Vector-Valued Functions-Limits, Derivatives, and Continuity
Velocity and Acceleration
Tangent Vectors and Arc Length
Curvature
Applications of Vector-Valued Functions to Motion
Summary of Key Topics in Chapter 10
Review Exercises for Chapter 10
Genesis and Development
Functions of Several Variables
Preview
Functions of Several Variables
Cylinders and Quadric Surfaces
Limits and Continuity
Partial Derivatives
Differentiability and The Chain Rule
Gradients and Directional Derivatives
Tangent Planes
Maximum-Minimum Problems
Lagrange Multipliers
Summary of Key Topics in Chapter 11
Review Exercises for Chapter 11
Genesis and Development
Multiple Integrals
Preview
Double Integrals over Rectangular Regions
Integration over More General Regions
Calculation of Volumes of Solids
Polar Coordinates
Integrating in Polar Coordinates
Triple Integrals
Physical Applications
Other Coordinate Systems
Summary of Key Topics in Chapter 12
Review Exercises for Chapter 12
Genesis and Development
Vector Calculus
Preview
Vector Fields
Line Integrals
Conservative Vector Fields and Path Independence
Divergence, Gradient, and Curl
Green's Theorem
Surface Integrals
Stokes's Theorem
The Divergence Theorem
Summary of Key Topics in Chapter 13
Review Exercises for Chapter 13
Genesis and Development
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