Principles of Topology

Book Details

• Author: Fred H. Croom

• Brand: Dover

• Edition: First Edition

• Binding: Paperback

• Number of Pages: 336

• Release Date: 17-02-2016

• EAN: 9780486801544

• Languages: English

About The Book
Fred H. Croom's "Introduction to Topology" is a clear and accessible introduction to the fundamental concepts of topology. It is designed for undergraduate and beginning graduate students who are already familiar with multivariable calculus, making it an ideal choice for those embarking on advanced mathematical studies. The book provides a rigorous yet geometric approach, emphasizing the intuitive nature of the subject.

The text covers customary topics in point-set topology such as metric spaces, general topological spaces, continuity, connectedness, compactness, separation properties, and more. In addition to these core concepts, the book introduces readers to geometric, differential, and algebraic topology, providing a well-rounded introduction to the field.

Each chapter includes historical notes that help contextualize key developments, offering insight into the evolution of topology over time. Exercises at the end of each chapter, varying in difficulty, are an integral part of the learning experience, helping students deepen their understanding of the material.

This textbook is a valuable resource for students looking to gain a solid foundation in topology, with a focus on both geometric intuition and formal rigor.