Vector Calculus

ISBN-10: 0716749920

ISBN-13: 9780716749929

Edition: 5th 2003

Authors: Jerrold E. Marsden, Anthony J. Tromba

List price: $192.99
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Book details

List price: $192.99
Edition: 5th
Copyright year: 2003
Publisher: W. H. Freeman & Company
Publication date: 8/1/2003
Binding: Hardcover
Pages: 704
Size: 7.50" wide x 9.75" long x 1.50" tall
Weight: 2.992
Language: English

The Geometry of Euclidean Space
Vectors in Two- and Three-Dimensional Space
The Inner Product, Length, and Distance
Matrices, Determinants, and the Cross Product
Cylindrical and Spherical Coordinates
n-Dimensional Euclidean Space
Differentiation Space
The Geometry of Real-Valued Functions
Limits and Continuity
Introduction to Paths
Properties of the Derivative
Gradients and Directional Derivatives
Higher-Order Derivatives: Maxima and Minima
Iterated Partial Derivatives
Taylor's Theorem
Extrema of Real-Valued Functions
Constrained Extrema and Lagrange Multipliers
The Implicit Function Theorem
Vector-Valued Functions
Acceleration and Newton's Second Law
Arc Length
Vector Fields
Divergence and Curl
Double and Triple Integrals
The Double Integral Over a Rectangle
The Double Integral Over More General Regions
Changing the Order of Integration
The Triple Integral
The Change of Variables Formula and Applications of Integration
The Geometry of Maps from R2 to R2
The Change of Variables Theorem
Applications of Double and Triple
Improper Integrals
The Path Integral
Line Integrals
Parametrized Surfaces
Area of a Surface
Integrals of Scalar Functions Over Surfaces
Surface Integrals of Vector Functions
Applications to Differential Geometry, Physics and Forms of Life
The Integral Theorems of Vector Analysis
Green's Theorem
Stokes' Theorem
Conservative Fields
Gauss' Theorem
Applications to Physics, Engineering, and Differential Equations
Differential Forms
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