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Title
A textbook on ordinary differential equations [electronic resource] / Shair Ahmad, Antonio Ambrosetti.
ISBN
9783319021294 electronic book
331902129X electronic book
9783319021287
Published
Cham ; New York : Springer Verlag, 2013.
Language
English
Description
1 online resource (xiv, 304 pages) : illustrations.
Item Number
10.1007/978-3-319-02129-4 doi
Call Number
QA372 .A363 2013eb
Dewey Decimal Classification
515.352
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 Lotka-Volterra 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, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Description based on print version record.
Series
Unitext ; 73.
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.
