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Multivariable Calculus with Matrices by C. Henry Edwards and David E. Penney (2002, Hardcover)

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Multivariable Calculus with Matrices. Infinite Series. Infinite Sequences. Infinite Series and Convergence. Taylor Series and Taylor Polynomials. Alternating Series and Absolute Convergence. Power Series.

About this product

Product Identifiers

PublisherPrentice Hall PTR

ISBN-100130648183

ISBN-139780130648181

eBay Product ID (ePID)2146006

Product Key Features

Number of Pages544 Pages

Publication NameMultivariable Calculus with Matrices

LanguageEnglish

Publication Year2002

SubjectCalculus

TypeTextbook

Subject AreaMathematics

AuthorC. Henry Edwards, David E. Penney

FormatHardcover

Dimensions

Item Height0.8 in

Item Weight38.1 Oz

Item Length11 in

Item Width8.5 in

Additional Product Features

Edition Number6

Intended AudienceCollege Audience

LCCN2001-052356

Dewey Edition21

IllustratedYes

Dewey Decimal515

Table Of Content10. Infinite Series. Introduction. Infinite Sequences. Infinite Series and Convergence. Taylor Series and Taylor Polynomials. The Integral Test. Comparison Tests for Positive-Term Series. Alternating Series and Absolute Convergence. Power Series. Power Series Computations. Series Solutions of Differential Equations. 11. Vectors and Matrices. Vectors in the Plane. Three-Dimensional Vectors. The Cross Product of Vectors. Lines and Planes in Space. Linear Systems and Matrices. Matrix Operations. Eigenvalues and Rotated Conics. 12. Curves and Surfaces in Space. Curves and Motion in Space. Curvature and Acceleration. Cylinders and Quadric Surfaces. Cylindrical and Spherical Coordinates. 13. Partial Differentiation. Introduction. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Multivariable Optimization Problems. Linear Approximation and Matrix Derivatives. The Multivariable Chain Rule. Directional Derivatives and Gradient Vectors. Lagrange Multipliers and Constrained Optimization. Critical Points of Multivariable Functions. 14. Multiple Integrals. Double Integrals. Double Integrals over More General Regions. Area and Volume by Double Integration. Double Integrals in Polar Coordinates. Applications of Double Integrals. Triple Integrals. Integration in Cylindrical and Spherical Coordinates. Surface Area. Change of Variables in Multiple Integrals. 15. Vector Calculus. Vector Fields. Line Integrals. The Fundamental Theorem and Independence of Path. Green's Theorem. Surface Integrals. The Divergence Theorem. Stokes' Theorem. Appendices. Answers. Index.

SynopsisFor standard undergraduate Calculus courses. Multivariable Calculus now has a full chapter of material on matrices and eigenvalues up front. Much of Multivariable Calculus has been rewritten using matrix notation.

LC Classification NumberQA303.2.E375 2001