Description 
1 online resource (xiv, 304 pages) : illustrations 
Series 
Unitext ; 73 

Unitext ; 73

Contents 
1. First order linear differential equations  2. Theory of first order differential equations  3. First order nonlinear differential equations  4. Existence and uniqueness for systems and higher order equations  5. Second order equations  6. Higher order linear equations  7. Systems of first order equations  8. Qualitative analysis of 2 x 2 systems and nonlinear second order equations  9. Sturm Liouville eigenvalue theory  10. Solutions by infinite series and Bessel functions  11. Laplace transform  12. Stability theory  13. Boundary value problems  Appendix 
Summary 
The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the pendium equation, the logistic equation, the LotkaVolterra system, and many other) which introduce the reader to some interesting aspects of the theory and its applications. The work is mainly addressed to students of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments, such as Laplace transform; Stability theory and existence of solutions to Boundary Value problems. The authors are preparing a complete solutions manual, containing solutions to all the exercises published in the book. The manual will be available Summer 2014. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Differential equations  Numerical solutions.


Differential equations  Problems, exercises, etc.


Differential equations, Linear.


Differential equations, Linear  Numerical solutions.


Mathematics.


Numerical Analysis, ComputerAssisted.

Genre/Form 
Problems and exercises.


Problems and Exercises.


Problems and exercises.

Form 
Electronic book

Author 
Ambrosetti, A. (Antonio), author

ISBN 
3319021281 (print) 

331902129X (electronic bk.) 

9783319021287 (print) 

9783319021294 (electronic bk.) 
