Differential Equations: Graphics, Models, and Data
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More About This Title Differential Equations: Graphics, Models, and Data
English
Viewing stained glass from different angles or in various lights is necessary to discover its many qualities. Likewise, viewing solutions of differential equations from several points of view is essential to fully understand their behavior. Lomen and Lovelock provide an active environment for students to explore differential equations by using analytical, numerical, graphical, and descriptive techniques, and for students to use ODEs as a natural tool for modeling many interesting processes in science and engineering.
English
David O. Lomen is the author of Differential Equations: Graphics, Models, Data, published by Wiley. David Lovelock is a British theoretical physicist and mathematician. He is known for Lovelock theory of gravity and the Lovelock's theorem.
English
Basic Concepts.
Autonomous Differential Equations.
First Order Differential Equations -
Qualitative and Quantitative Aspects.
Models and Applications Leading to New Techniques.
First Order Linear Differential Equations and Models.
Interplay Between First Order Systems and Second Order Equations.
Second Order Linear Differential Equations with Forcing Functions.
Second Order Linear Differential Equations -
Qualitative and Quantitative Aspects.
Linear Autonomous Systems.
Nonlinear Autonomous Systems.
Using Laplace Transforms.
Using Power Series.
Appendices.
Answers.
Index.
Autonomous Differential Equations.
First Order Differential Equations -
Qualitative and Quantitative Aspects.
Models and Applications Leading to New Techniques.
First Order Linear Differential Equations and Models.
Interplay Between First Order Systems and Second Order Equations.
Second Order Linear Differential Equations with Forcing Functions.
Second Order Linear Differential Equations -
Qualitative and Quantitative Aspects.
Linear Autonomous Systems.
Nonlinear Autonomous Systems.
Using Laplace Transforms.
Using Power Series.
Appendices.
Answers.
Index.
