A Modern Introduction to Differential Equations
Seiten
2009
|
2nd edition
Academic Press Inc (Verlag)
978-0-12-374746-4 (ISBN)
Academic Press Inc (Verlag)
978-0-12-374746-4 (ISBN)
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Presents an introduction to differential equations, developing the concepts from a dynamical systems perspective and employing technology to treat topics graphically, numerically and analytically.
A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations.
The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of first-order equations, including slope fields and phase lines. The discussions then cover methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients; systems of linear differential equations; the Laplace transform and its applications to the solution of differential equations and systems of differential equations; and systems of nonlinear equations. Each chapter concludes with a summary of the important concepts in the chapter. Figures and tables are provided within sections to help students visualize or summarize concepts. The book also includes examples and exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering.
This book is designed for undergraduate students majoring in mathematics, the natural sciences, and engineering. However, students in economics, business, and the social sciences with the necessary background will also find the text useful.
A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations.
The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of first-order equations, including slope fields and phase lines. The discussions then cover methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients; systems of linear differential equations; the Laplace transform and its applications to the solution of differential equations and systems of differential equations; and systems of nonlinear equations. Each chapter concludes with a summary of the important concepts in the chapter. Figures and tables are provided within sections to help students visualize or summarize concepts. The book also includes examples and exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering.
This book is designed for undergraduate students majoring in mathematics, the natural sciences, and engineering. However, students in economics, business, and the social sciences with the necessary background will also find the text useful.
Henry J. Ricardo works at Medgar Evers College of the City University of New York in Brooklyn, USA.
1. Introduction to Differential Equations2. First-Order Differential Equations 3. The Numerical Approximation of Solutions4. Second- and Higher-Order Equations5. Systems of Linear Differential Equations 6. The Laplace Transform 7. Systems of Nonlinear Differential Equations
| Erscheint lt. Verlag | 22.4.2009 |
|---|---|
| Verlagsort | San Diego |
| Sprache | englisch |
| Maße | 191 x 235 mm |
| Gewicht | 1060 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-12-374746-5 / 0123747465 |
| ISBN-13 | 978-0-12-374746-4 / 9780123747464 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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