Partially solved examples are given in the text as illustrations to be completed by the student. Some 15 examples are solved using Mathematica, with the Mathematica codes presented in an appendix. Exercises are sprinkled throughout the text. Homework problems, drawn from chemical, mechanical, and electrical engineering as well as from physics and chemistry, are collected at the end of each chapter-the book contains over 250 homework problems. Eigenvector and eigenvalue theory, that is, the eigenproblem and its relationship to the operator theory of matrices, is developed in considerable detail. Numerical techniques for solving both nonlinear and linear systems of equations are emphasized. Otherwise, the theorem is quoted along with an indication of a source for the proof. Where the proof of a theorem can be given without too much tedious detail, it is included. The emphasis of the text is on the use of algebraic and operator techniques to solve engineering and scientific problems.
It is based on a course that one of us (H.T.D.) has given over the past several years to chemical engineering and materials science students. This textbook is aimed at first-year graduate students in engineering or the physical sciences.
Provides complete numerical algorithms for solving linear and nonlinear problems.
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Contains numerous Mathematica examples complete with full code and solutions.Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. 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. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy.
The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. New application and document icons for better compatibility with macOS 10.Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis.Uses far less memory when adding from iTunes so more tracks can be added at the same time.Resolves a potential situation where CDs may not be ejected after importing.You can even move projects between Macs, if necessary.
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