Vector Calculus

Name: Vector Calculus
Price: 10.34 USD
Availability: InStock
ISBN: 9780716749929

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



Differentiation



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



Introduction



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



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