Topology Without Tears by Sidney A. Morris
Book Contents :-
0. Introduction
1. Topological Spaces
2. The Euclidean Topology
3. Limit Points
4. Homeomorphisms
5. Continuous Mappings
6. Metric Spaces
7. Compactness
8. Finite Products
9. Countable Products
10. Tychonoff’s Theorem
11. Quotient Spaces
12. The Stone–Weierstrass Theorem
Appendix 1: Infinite Sets
Appendix 2: Topology Personalities
Appendix 3: Chaos Theory and Dynamical Systems
Appendix 4: Hausdorff Dimension
Appendix 5: Topological Groups: A Graduate Course
Appendix 6: Filters and Nets
About this book :-
"Topology Without Tears" by Sidney A. Morris is a "beginner-friendly" introduction to "topology" that emphasizes clarity and intuition. The book begins with basic ideas such as "topological spaces", open and closed sets, and the Euclidean topology, making abstract concepts approachable for students and self-learners.
The text then explores more advanced topics in a structured way, covering "continuous functions", "homeomorphisms", "metric spaces", and essential properties like compactness and connectedness. Each concept is illustrated with examples, exercises, and visual explanations, helping readers develop an intuitive understanding of how topological structures behave. The book also includes important constructions, such as product and quotient spaces, and introduces foundational theorems in point-set topology, ensuring a comprehensive grasp of the subject.
Sidney A. Morris’s approach makes "Topology Without Tears" ideal for undergraduate students or anyone new to topology. Its clear explanations, step-by-step examples, and engaging style allow readers to build a strong foundation in "topology", gain confidence with abstract ideas, and prepare for more advanced studies in mathematics. This book is perfect for self-study, classroom use, or as a supplementary resource for learners seeking a practical yet rigorous introduction to the field.
Book Detail :-
Title:
Topology Without Tears by Sidney A. Morris
Publisher:
Sidney A. Morris
Year:
2007
Pages:
373
Type:
PDF
Language:
English
ISBN-10 #:
0134689518
ISBN-13 #:
978-0134689517
License:
External Educational Resource
Amazon:
Amazon
About Author :-
The author
Sidney A. Morris
is an Australian mathematician and "Emeritus Professor" at Federation University Australia, renowned for his contributions to "topology" education. He has held academic positions worldwide and received recognition such as the "Lester R. Ford Award" for his work in making mathematics accessible and engaging. His work, "Topology Without Tears", is a free and approachable guide designed for "self-study". It covers fundamental topics like "metric spaces", homeomorphisms, and compactness with clear explanations and practical examples. Widely used by students and educators, it emphasizes understanding and intuition, making topology accessible without sacrificing rigor.
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