Pure and Applied Mathematics: Computational Methods of Linear Algebra: Second Edition

Granville Sewell

ISBN 10: 0471735795 / ISBN 13: 9780471735793

Published by Wiley-Interscience, 2005

About this Item

Aus Bibliothek aussortiert; Abnutzung / Risse - leicht. This popular textbook offers an accessible introduction to solving linear algebraic problems numerically. It provides a solid theoretical foundation while teaching readers to write FORTRAN90 and MATLAB(r) programs. The Second Edition includes new material and pedagogical enhancements based on the author's teaching experience, such as a chapter on modern supercomputing and parallel programming, and fifty percent more examples and exercises to clarify theory and showcase real-world applications. All FORTRAN90 programs are accompanied by MATLAB(r) versions, and an appendix features answers to selected problems. Beginning with fundamental definitions and results from linear algebra, the text explores direct and iterative methods for solving linear systems of equations, linear least-squares problems, linear eigenvalue problems, and linear programming problems. It also covers the fast Fourier transform, a topic often overlooked in similar texts. The final chapter introduces writing computational linear algebra software for today's vector and parallel supercomputers, highlighting double-precision FORTRAN90 subroutines that are documented for clarity, allowing students to follow the program logic easily. MATLAB(r) versions of the codes are provided in an appendix, and machine-readable copies of the codes can be downloaded from the accompanying website. This textbook is ideal for upper-level undergraduates and graduate students, empha.

Seller Inventory # 22a38f03-9471-49e8-9507-8f62fecaec8e

Bibliographic Details

• Title: Pure and Applied Mathematics: Computational Methods of Linear Algebra: Second Edition
• Publisher: Wiley-Interscience
• Publication Date: 2005
• Language: English
• ISBN 10: 0471735795
• ISBN 13: 9780471735793
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: Fair
• Seller catalogs:
  • Mathematics

About this title

Synopsis

Learn to write programs to solve linear algebraic problems

The Second Edition of this popular textbook provides a highly accessible introduction to the numerical solution of linear algebraic problems. Readers gain a solid theoretical foundation for all the methods discussed in the text and learn to write FORTRAN90 and MATLAB(r) programs to solve problems. This new edition is enhanced with new material and pedagogical tools, reflecting the author's hands-on teaching experience, including:
* A new chapter covering modern supercomputing and parallel programming
* Fifty percent more examples and exercises that help clarify theory and demonstrate real-world applications
* MATLAB(r) versions of all the FORTRAN90 programs
* An appendix with answers to selected problems

The book starts with basic definitions and results from linear algebra that are used as a foundation for later chapters. The following four chapters present and analyze direct and iterative methods for the solution of linear systems of equations, linear least-squares problems, linear eigenvalue problems, and linear programming problems. Next, a chapter is devoted to the fast Fourier transform, a topic not often covered by comparable texts. The final chapter features a practical introduction to writing computational linear algebra software to run on today's vector and parallel supercomputers.

Highlighted are double-precision FORTRAN90 subroutines that solve the problems presented in the text. The subroutines are carefully documented and readable, allowing students to follow the program logic from start to finish. MATLAB(r) versions of the codes are listed in an appendix. Machine-readable copies of the FORTRAN90 and MATLAB(r) codes can be downloaded from the text's accompanying Web site.

With its clear style and emphasis on problem solving, this is a superior textbook for upper-level undergraduates and graduate students.

About the Author

GRANVILLE SEWELL, PHD, is Visiting Professor of Mathematics at Texas A&M University and Professor of Mathematics at the University of Texas at El Paso. He is the developer of PDE2D, a general-purpose partial differential equation solver. Dr. Sewell has written three books and published more than fifty articles on numerical methods and applications. His employment history includes time with IMSL, Inc., (now Visual Numerics) and the University of Texas System Center for High Performance Computing.