Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition - Chapman & Hall/CRC Pure and Applied Mathematics (Hardback)Jane Cronin (author)
- We can order this
This third edition of a highly acclaimed textbook provides a detailed account of the Bendixson theory of solutions of two-dimensional nonlinear autonomous equations, which is a classical subject that has become more prominent in recent biological applications. By using the Poincare method, it gives a unified treatment of the periodic solutions of perturbed equations. This includes the existence and stability of periodic solutions of perturbed nonautonomous and autonomous equations (bifurcation theory). The text shows how topological degree can be applied to extend the results. It also explains that using the averaging method to seek such periodic solutions is a special case of the use of the Poincare method.
Publisher: Taylor & Francis Inc
Weight: 703 g
Dimensions: 229 x 152 x 26 mm
Edition: 3rd New edition
... a classic treatment of many of the topics an instructor would want in such a course, with particular emphasis on those aspects of the qualitative theory that are important for applications to mathematical biology. ... A nice feature of this edition is an extended and unified treatment of the perturbation problem for periodic solutions. ... a solid graduate-level introduction to ordinary differential equations, especially for applications. ...
-MAA Reviews, August 2010
You may also be interested in...
Would you like to proceed to the App store to download the Waterstones App?