Matrix Vector Analysis

Name: Matrix Vector Analysis
Price: 7.33 USD
Availability: InStock
ISBN: 9780486441818

ISBN-10: 0486441814

ISBN-13: 9780486441818

Edition: 2005

Authors: Richard L. Eisenman, Mathematics Staff

List price: $18.95

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Description:

This outstanding text and reference applies matrix ideas to vector methods, using physical ideas to illustrate and motivate mathematical concepts but employing a mathematical continuity of development rather than a physical approach. Motivated examples introduce each idea, with interpretations of physical, algebraic, and geometric contexts, in addition to generalizations to theorems that reflect the essential structure. Geared toward upper-level undergraduates, the text features approximately 50 provocative problems at each chapter's end that test students' choice of techniques. Each chapter is also followed by about 25 mental exercises that stimulate imaginative reflection. Answers are…

Book details

List price: $18.95
Copyright year: 2005
Publisher: Dover Publications, Incorporated
Publication date: 3/24/2005
Binding: Paperback
Pages: 336
Size: 5.25" wide x 8.25" long x 0.75" tall
Weight: 0.748
Language: English



Preface



Static Vectors in 3-space



Vectors and Equality



Vector Sum and Vector Product



Scalar Multiplication and Linear Dependence



Projection and Inner Product



Mixed Operations



Basis



Change of Basis via Matrices



Functions of One Variable



Derivative in a Fixed Basis



Velocity and Acceleration



Space-curve Geometry



Relative Derivatives



Rotation and Coriolis



Vector and Scalar Fields



Point Functions



Derivatives of a Scalar Point Function



Derivatives of a Vector Point Function



Laplacian and Other Second [down triangle, open] Derivatives



Vector Notation in Scalar Integrals



Line Integrals



Surface and Volume Integrals



Integral Transformation Theorems



Coordinate Systems



Selecting Coordinates



Selecting Basis Vectors



Vector Algebra in a New System



Del Operations in a New System



Applications of Matrices



Coding Messages



Coding Algebraic Equations



Linear Transformations



Eigenproblems



Linear Differential Equations



Quadratic Forms



Markov Chains



Summary



Practical Abstractions



Abstract and Applied Elements



Groups



Function Spaces



Finite-dimensional Vector Spaces


Index