Numerical Linear Algebra with Applications: Using MATLAB and Octave - Hardcover

Ford, William

Hardcover

ISBN 10: 012394435X ISBN 13: 9780123944351

Publisher: Academic Press, 2014

Synopsis

Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation. The book contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems.

The text consists of six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra. It explains in great detail the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra. In addition to examples from engineering and science applications, proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs.

This book will be a useful reference for graduate or advanced undergraduate students in engineering, science, and mathematics. It will also appeal to professionals in engineering and science, such as practicing engineers who want to see how numerical linear algebra problems can be solved using a programming language such as MATLAB, MAPLE, or Mathematica.

• Six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra
• Detailed explanations and examples
• A through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra
• Examples from engineering and science applications

About this title

About the Author

William Ford completed his undergraduate degree at MIT, having majored in mathematics and minored in electrical engineering. He went on to complete a Ph.D. in mathematics at the University of Illinois, Urbana-Champaign, with his thesis paper entitled "Numerical Solution of Pseudo-parabolic Partial Differential Equations," and after two years of researching and teaching within the Department of Mathematics at Clemson University he joined the faculty of the Mathematics Department at the University of the Pacific, in Stockton, California. Here he went on to become a founding member of the Department of the Computer Science. Beginning in the 1980s, he and William Topp began jointly publishing books, that included a Motorola 68000 assembly language book through D.C. Heath, a book on data structures with C++ through Prentice Hall, and a book on data structures with Java through Prentice Hall. Dr. Ford additionally developed an IDE (Integrated Development Environment) named "EZJava" to accompany the Java book and served as the Chair of the Computer Science Department until his retirement in 2014.

From the Back Cover

Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, this book contains all the material necessary for a graduate course on numerical linear algebra and numerous applications to engineering and science used in industry. Presenting a unified presentation of computation, basic algorithm analysis and numerical methods to compute solutions, Numerical Linear Algebra with Applications is ideal for solving real-world, practical problems. This reference provides necessary mathematical background information for those who want to learn to solve linear algebra problems using the programming language Matlab, in addition to offering a thorough explanation of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition for practical use.

Edition details

• Publisher: Academic Press
• Publication date: 2014
• Language: English
• ISBN 10: 012394435X
• ISBN 13: 9780123944351
• Binding: Hardcover
• Edition number: 1
• Number of pages: 628