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Overview
Ordinary differential equations serve as mathematical models for many exciting real world problems. Rapid growth in the theory and applications of differential equations has resulted in a continued interest in their study by students in many disciplines. This textbook organizes material around theorems and proofs, comprising of 42 class-tested lectures that effectively convey the subject in easily manageable sections. The presentation is driven by detailed examples that illustrate how the subject works. Numerous exercise sets, with an "answers and hints" section, are included. The book further provides a background and history of the subject.
Synopsis
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 lectures
Provides a theoretical treatment by organizing the material around theorems and proofs
Uses detailed examples to drive the presentation
Includes numerous exercise sets that encourage pursuing extensions of the material, each with an "answers or hints" section
Covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics
Provides excellent grounding and inspiration for future research contributions to the field of ODEs and related areas
This book is ideal for a senior undergraduate or a graduate-level course on ordinary differential equations. Prerequisites include a course in calculus.