Organizes material around theorems and proofs Presentation is driven by detailed examples that illustrate how the subject works Provides a background and histor... » 

Organizes material around theorems and proofs Presentation is driven by detailed examples that illustrate how the subject works Provides a background and history of the subject through interesting preliminary lectures This textbook provides a rigorous and lucid introduction to the theory of ordinary differential equations (ODEs), which serve as mathematical models for many exciting real-world problems in science, engineering, and other disciplines.

Key Features of this textbook:Effectively organizes the subject into easily manageable sections in the form of 42 class-tested lecturesProvides a theoretical treatment by organizing the material around theorems and proofsUses detailed examples to drive the presentationIncludes numerous exercise sets that encourage pursuing extensions of the material, each with an 'answers or hints' sectionCovers an array of advanced topics which allow for flexibility in developing the subject beyond the basicsProvides excellent grounding and inspiration for future research contributions to the field of ODEs and related areasThis book is ideal for a senior undergraduate or a graduate-level course on ordinary differential equations. Prerequisites include a course in calculus. «