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BOOKS

Introduction to Matrix Algebra

Since 2002, the Introduction to Matrix Algebra book has been downloaded by more than 30,000 users from 50 different countries. This book is an extended primer for undergraduate Matrix Algebra. The book is either to be used as a refresher material for students who have already taken a course in Matrix Algebra or used as a just-in-time tool if the burden of teaching Matrix Algebra has been placed on several courses. In my own department, the Linear Algebra course was taken out of the curriculum a decade ago. It is now taught just in time in courses like Statics, Programming Concepts, Vibrations, and Controls. There are ten chapters in the book: 1) Introduction, 2) Vectors, 3) Binary Matrix Operations, 4) Unary Matrix Operations, 5) System Of Equations, 6) Gaussian Elimination, 7) LU Decomposition, 8) Gauss-Seidal Method, 9) Adequacy Of Solutions, 10) Eigenvalues And Eigenvectors.

 

Numerical Methods with Applications

This book entitled Numerical Methods with Applications is written primarily for engineering undergraduates taking a course in Numerical Methods. The textbook offers a unique treatise to numerical methods which is based on a holistic approach and short chapters. This book is a product of many years of work on educational projects funded since 2002 by the National Science Foundation. Features: 1) Examples of real-life applications are available from seven different engineering majors. 2) Each chapter is followed by multiple-choice questions. 3) Supplemental material such as primers on differential and integral calculus, and ordinary differential equations are available on the web. 4) The book has a state-of-art dedicated open courseware website with extra examples, PowerPoint presentations, worksheets in MATLAB, MATHEMATICA, Maple and MathCAD, anecdotes, eBooks, and blogs.

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Copyrights: UnCreative Commons Licenseiversity of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624,  0836981.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Numerical Methods for Undergraduates by http://numericalmethods.eng.usf.edu is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.  Based on a work at numericalmethods.eng.usf.edu.