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Title
A textbook on ordinary differential equations [electronic resource] / Shair Ahmad, Antonio Ambrosetti.
Edition
Second edition.
ISBN
9783319164083 electronic book
3319164082 electronic book
9783319164076
Published
Cham : Springer Verlag, 2015.
Language
English
Description
1 online resource (xiv, 321 pages) : illustrations.
Item Number
10.1007/978-3-319-16408-3 doi
Call Number
QA372
Dewey Decimal Classification
518/.63
Summary
This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 9, 2015).
Series
Unitext ; volume 88.
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 2x2 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
14 Appendix A. Numerical methods
15 Answers to selected exercises.
