Linear Algebra And Linear Operators In Engineering / Edition 1

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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

Audience: Students in graduate level applied mathematics courses in engineering departments (particularly chemical engineering), and practicing engineers.

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Product Details

  • ISBN-13: 9780122063497
  • Publisher: Elsevier Science
  • Publication date: 6/1/2000
  • Series: Process Systems Engineering Series , #3
  • Edition number: 1
  • Pages: 560
  • Product dimensions: 1.25 (w) x 7.00 (h) x 10.00 (d)

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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Sort by: Showing 1 Customer Reviews
  • Anonymous

    Posted January 8, 2007

    Where is the beef?

    So far, the text is well presented, each concept is adequately introduced and developed. There are no mystery operators that are introduced without explanation or definition. However, despite the 'With Applications in Mathematica' in the title, there really is no Mathematica code to speak of provided with this text. Since there is no CD or webpage from which to get this code it's kind of a good thing. You and i will just have to type everything in by hand. The examples and code occupy only 32 pages in an appendix. It has been my pleasure to learn new material and methods using books that allow more interaction by having Mathematica code, providing that code and allowing the student to learn and explore the methods with their own problems. But that path is only available with a great deal of inconvenience with this book. Also, i just noticed that the binding is failing on the (new) book i received. Oh well!

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