Vector Calculus

Name: Vector Calculus
Price: 114.66 USD
Availability: InStock
ISBN: 9780131492042

ISBN-10: 0131492047

ISBN-13: 9780131492042

Edition: 1st 1998

Authors: Susan Jane Colley

List price: $93.33

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This text uses the language and notation of vectors and matrices to clarify issues in multivariable calculus. It presents a variety of topics not usually found in a text at this level offering flexibility for students and instructors.

Book details

List price: $93.33
Edition: 1st
Copyright year: 1998
Publisher: Prentice Hall PTR
Publication date: 7/17/1997
Binding: Hardcover
Pages: 532
Size: 8.50" wide x 10.25" long x 1.00" tall
Weight: 2.640
Language: English



(NOTE: Each chapter concludes with True/False Exercises and Miscellaneous Exercises.)



Vectors


Vectors in Two and Three Dimensions


More About Vectors


The Dot Product


The Cross Product


Equations for Planes; Distance Problems


Some n-Dimensional Geometry


New Coordinate Systems



Differentiation in Several Variables


Functions of Several Variables; Graphing Surfaces


Limits


The Derivative


Properties; Higher-Order Partial Derivatives; Newton's Method


The Chain Rule


Directional Derivatives and the Gradient



Vector-Valued Functions


Parametrized Curves and Kepler's Laws


Arclength and Differential Geometry


Vector Fields: An Introduction


Gradient, Divergence, Curl, and the Del Operator



Maxima and Minima in Several Variables


Differentials and Taylor's Theorem


Extrema of Functions


Lagrange Multipliers


Some Applications of Extrema



Multiple Integration


Introduction: Areas and Volumes


Double Integrals


Changing the Order of Integration


Triple Integrals


Change of Variables


Applications of Integration



Line Integrals


Scalar and Vector Line Integrals


Green's Theorem


Conservative Vector Fields



Surface Integrals and Vector Analysis


Parametrized Surfaces


Surface Integrals


Stokes's and Gauss's Theorems


Further Vector Analysis; Maxwell's Equations



Vector Analysis in Higher Dimensions


An Introduction to Differential Forms


Manifolds and Integrals of k-forms


The Generalized Stokes's Theorem


Suggestions for Further Reading


Answers to Selected Exercises


Index