Differential Galois Theory for Undergraduates

Description

Discover the fascinating world of differential Galois theory with this book designed for college undergraduates. This unique text leads the student from classical Galois theory to the more advanced realm of the Galois theory of linear differential equations.

Key features:
• Accessible approach: Using analogies with classical Galois theory, Kruelle presents complex concepts in a way that’s approachable for readers with only a basic background in classical Galois theory and undergraduate algebra.
• Comprehensive coverage: The book is structured into just three chapters covering basic Galois theory, Picard-Vessiot theory, and Kovacic’s theorems.
• Practical examples: Worked problems and exercises with solutions help reinforce understanding and provide hands-on experience with the material.
• Frontier mathematics: Gain insight into cutting-edge mathematical research without requiring graduate-level knowledge.
• Authoritative source: As the authorized edition, this book contains the most up-to-date and accurate information from the author.

Perfect for:

– Undergraduate mathematics majors curious about graduate-level topics.

– Anyone interested in the intersection of algebra and differential equations.

Inspired by the author’s personal journey and his late colleague Dr. David O’Hanley’s success in teaching Galois theory to high school students, this book aims to spark curiosity and inspire the next generation of mathematicians. Whether you’re a student, educator, or enthusiast, “Differential Galois Theory for Undergraduates” offers a unique and accessible entry point into an advanced mathematical field.