A Short Course in Ordinary Differential Equations (Hardcover)

Qingkai Kong

ISBN 10: 3319112384 / ISBN 13: 9783319112381

Published by Springer International Publishing AG, Cham, 2014

About this Item

Hardcover. This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the PoincareBendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and SturmLiouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well. A Short Course in Ordinary Differential Equations Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9783319112381

Bibliographic Details

• Title: A Short Course in Ordinary Differential Equations (Hardcover)
• Publisher: Springer International Publishing AG, Cham
• Publication Date: 2014
• Language: English
• ISBN 10: 3319112384
• ISBN 13: 9783319112381
• Binding: Hardcover
• Condition: new

About this title

Synopsis

This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré―Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm―Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well.

About the Author

Qingkai Kong is a Professor and Director of Undergraduate Studies in the Department of Mathematical Sciences at Northern Illinois University. He holds a M.Sc and Ph.D from the University of Alberta. Dr. Kong is a recipient of the Huo Ying-Dong Teaching Award and has refereed for over 50 journals.