Differential Equations and Linear Algebra (4E) by C Henry Edwards, David E Penney
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About this book :-
Differential Equations and Linear Algebra (4E) written by
Henry Edwards, David E Penney .
The evolution of the present text is based on experience teaching introductory differential equations and linear algebra with an emphasis on conceptual ideas and the use of applications and projects to involve students in active problem-solving experiences. Technical computing environments like Maple, Mathematica, MATLAB, and Python are widely available and are now used extensively by practicing engineers and scientists. This change in professional practice motivates a shift from the traditional concentration on manual symbolic methods to coverage also of qualitative and computer-based methods that employ numerical computation and graphicalvisualization to develop greater conceptual understanding. A bonus of this more comprehensive approach is accessibility to a wider range of more realistic applications of differential equations.
Both the conceptual and the computational aspects of such a course depend heavily on the perspective and techniques of linear algebra. Consequently, the study of differential equations and linear algebra in tandem reinforces the learning of both subjects. In this book we therefore have combined core topics in elementary differential equations with those concepts and methods of elementary linear algebra that are needed for a contemporary introduction to differential equations.
(Henry Edwards, David E Penney)
Book Detail :-
Title: Differential Equations & Linear Algebra
Edition: 4th
Author(s): Charlas Henry Edwards, David E Penney
Publisher: Pearson
Series:
Year: 2008
Pages: 758
Type: PDF
Language: English
ISBN: 0136054250,9780136054252
Country: US
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About Author :-
The author Henry Edwards, University of Georgia, received his Ph.D. from the University of Tennesee in 1960. He then taught at the University of Wisconsin for three years and spent a year at the Institute for Advanced Study (Princeton) as an Alfred P. Sloan Research Fellow. Professor Edwards has just completed his thirtythird year of teaching at Georgia (including teaching calculus almost every year) and has received numerous University-wide teaching awards. His scholarly career has ranged from research and dissertation direction in topology to the history of mathematics to computing and technology in mathematics ( his focus in recent years). In addition to his calculus, advanced calculus, linear algebra, and differential equations textbooks, he is also well-known to calculus instructors as author of The Historical Development of the Calculus.
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Book Contents :-
Differential Equations and Linear Algebra (4E) written by
Henry Edwards, David E Penney
cover the following topics.
'
1. First-Order Differential Equations
2. Mathematical Models and Numerical Methods
3. Linear Systems and Matrices
4. Vector Spaces
5. Higher-Order Linear Differential Equations
6. Eigenvalues and Eigenvectors
7. Linear Systems of Differential Equations
8. Matrix Exponential Methods
9. Nonlinear Systems and Phenomena
10. Laplace Transform Methods
11. Power Series Methods
References for Further Study
Appendix A: Existence and Uniqueness of Solutions
Appendix B: Theory of Determinants
Answers to Selected Problems
Index
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