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Linear algebra and differential equations using MATLAB / Martin Golubitsky, Michael Dellnitz.

By: Golubitsky, Martin, 1945-.
Contributor(s): Dellnitz, Michael, 1960-.
Publisher: Pacific Grove, Calif. : Brooks/Cole, c1999Description: xiv, 704 p. ; 25 cm.ISBN: 0534354254.Subject(s): MATLAB | Algebras, Linear -- Data processing | Differential equations -- Data processingDDC classification: 512.50285
Contents:
Preface. - Ch. 1. Preliminaries. - Ch. 2. Solving Linear Equations. - Ch. 3. Matrices and Linearity. - Ch 4. Solving Ordinary Differential Equations. - Ch. 5. Vector Spaces. - Ch. 6. Closed Form Solutions For Planar Odes. - Ch. 7. Qualitative Theory of Planar Odes. - Ch. 8. Determinants and Eigenvalues. - Ch. 9. Linear Maps and Changes of Coordinates. - Ch. 10. Orthogonality. - Ch. 11. Authonomous Planar Nonlinear Systems. - Ch. 12. Bifurcation Theory. - Ch. 13. Matrix Normal Forms. - Ch. 14. Higher Dimensional Systems. - Ch. 15. Linear Differential Equations. - Ch. 16. Laplace Transforms. - Ch. 17. Additional Techniques for Solving Odes. - Ch. 18. Numerical Solutions of Odes. - MATLAB Commands. - Answers to Selected Odd-Numbered Problems. - Index.
Summary: This book provides an integrated approach to linear algebra and ordinary differential equations based on computers-in this case, the software package MATLAB. [The authors] beleive that computers can improve the conceptual understanding of mathematics, not just enable the completion of complicated calculations. [The authors] use computers in two ways : In linear algebra computers reduce the drudgery of calculations and enable students to focus on concepts and methods, while in differential equations computers display phase portraits graphically and enable students to focus on the qualitative information embodied in solution rather than just on developing formulas for solutions. - Preface
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Accompanying Material (Media Resource) Taylor's Library-TU
512.50285 GOL (Browse shelf) 1 Available SLASx,05000,03,CL 1000106749

Preface. - Ch. 1. Preliminaries. - Ch. 2. Solving Linear Equations. - Ch. 3. Matrices and Linearity. - Ch 4. Solving Ordinary Differential Equations. - Ch. 5. Vector Spaces. - Ch. 6. Closed Form Solutions For Planar Odes. - Ch. 7. Qualitative Theory of Planar Odes. - Ch. 8. Determinants and Eigenvalues. - Ch. 9. Linear Maps and Changes of Coordinates. - Ch. 10. Orthogonality. - Ch. 11. Authonomous Planar Nonlinear Systems. - Ch. 12. Bifurcation Theory. - Ch. 13. Matrix Normal Forms. - Ch. 14. Higher Dimensional Systems. - Ch. 15. Linear Differential Equations. - Ch. 16. Laplace Transforms. - Ch. 17. Additional Techniques for Solving Odes. - Ch. 18. Numerical Solutions of Odes. - MATLAB Commands. - Answers to Selected Odd-Numbered Problems. - Index.

This book provides an integrated approach to linear algebra and ordinary differential equations based on computers-in this case, the software package MATLAB. [The authors] beleive that computers can improve the conceptual understanding of mathematics, not just enable the completion of complicated calculations. [The authors] use computers in two ways : In linear algebra computers reduce the drudgery of calculations and enable students to focus on concepts and methods, while in differential equations computers display phase portraits graphically and enable students to focus on the qualitative information embodied in solution rather than just on developing formulas for solutions. - Preface

Accompanied by : 1 computer optical disc (4 3/4 in.)