Linear Algebra And Linear Operators In Engineering / Edition 1

Linear Algebra And Linear Operators In Engineering / Edition 1

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by H. Ted Davis, Kendall T. Thomson
     
 

Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and the practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. Principal theorems are covered and effective

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Overview

Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and the practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. Principal theorems are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications throughout engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideal as the main text of an introductory graduate course, as well as a fine instrument for self-study or as a general reference for those applying mathematics.

KEY FEATURES:

· Contains numerous Mathematica examples complete with full code and solutions
· Provides complete numerical algorithms for solving linear and nonlinear problems
· Spans elementary notions to the functional theory of linear integral and differential equations
· Includes over 130 examples, illustrations, and exercises and over 220 problems ranging from basic concepts to challenging applications
· Presents real-life applications from chemical, mechanical, and electrical engineering and the physical sciences

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Product Details

ISBN-13:
9780122063497
Publisher:
Elsevier Science
Publication date:
06/01/2000
Series:
Process Systems Engineering Series, #3
Pages:
560
Product dimensions:
1.25(w) x 7.00(h) x 10.00(d)

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Table of Contents

Preface. Determinants. Vectors and Matrices. Solution of Linear and Nonlinear Systems. General Theory of Solvability of Linear. The Eigenproblem. Perfect Matrices. Imperfect or Defective Matrices. Infinite-Dimensional Linear Vector Spaces. Linear Integral Operators in a Hilbert Space. Linear Differential Operators in a Hilbert Space. Appendix. Index

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