While there are many courses and tutorials online, learning from a book is still one of the best ways to greatly improve your skills. Below I have selected top Topology books.
- Topology (Classic Version) (2nd Edition) (Pearson Modern Classics for Advanced Mathematics Series) (2017)
- Introduction to Topology: Third Edition (Dover Books on Mathematics) (1990)
- Team Topologies: Organizing Business and Technology Teams for Fast Flow (2019)
- Principles of Topology (Dover Books on Mathematics) (2016)
- General Topology (Dover Books on Mathematics) (2004)
- Introduction to Topology (Second Edition) (1973)
- The Pushing Points Topology Workbook: Volume 01 (2018)
- Topology for Beginners: A Rigorous Introduction to Set Theory, Topological Spaces, Continuity, Separation, Countability, Metrizability, Compactness, … Function Spaces, and Algebraic Topology (2019)
- Algebraic Topology (2001)
- Topology And Physics (2019)
- Topology by Munkres – International Economy Edition (1900)
Topology (Classic Version) (2nd Edition) (Pearson Modern Classics for Advanced Mathematics Series) (2017)
For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately. This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles.
Introduction to Topology: Third Edition (Dover Books on Mathematics) (1990)
Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems.
Team Topologies: Organizing Business and Technology Teams for Fast Flow (2019)
Effective software teams are essential for any organization to deliver value continuously and sustainably. But how do you build the best team organization for your specific goals, culture, and needs? Team Topologies is a practical, step-by-step, adaptive model for organizational design and team interaction based on four fundamental team types and three team interaction patterns.
Principles of Topology (Dover Books on Mathematics) (2016)
Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus.
General Topology (Dover Books on Mathematics) (2004)
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students.
Introduction to Topology (Second Edition) (1973)
Paperback Publisher: Allyn and Bacon (1973) ASIN: B00AYBDDI6 Average Customer Review: 4.0 out of 5 stars 22 customer reviews Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support?
The Pushing Points Topology Workbook: Volume 01 (2018)
The Pushing Points Topology Workbook is a software agnostic guide that teaches you the foundation of SubD topology. There are over sixty exercises packed with loads of tips, tricks and techniques designed to teach you how to manage the topology of your meshes. Throughout the book you will also find many images of wireframe rendered assets and their topology that you can study for reference. This book doesn’t show you how to build a car, character or creature.
Topology for Beginners: A Rigorous Introduction to Set Theory, Topological Spaces, Continuity, Separation, Countability, Metrizability, Compactness, … Function Spaces, and Algebraic Topology (2019)
consists of a series of basic to intermediate lessons in topology. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively.
Algebraic Topology (2001)
In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally.
Topology And Physics (2019)
Since its birth in Poincaré’s seminal 1894 “Analysis Situs”, topology has become a cornerstone of mathematics. As with all beautiful mathematical concepts, topology inevitably — resonating with that Wignerian principle of the effectiveness of mathematics in the natural sciences — finds its prominent role in physics.
Topology by Munkres – International Economy Edition (1900)
***** INTERNATIONAL EDITION ***** ***** INTERNATIONAL EDITION ***** ***** INTERNATIONAL EDITION *****
Best Topology Books: The Ultimate List
We highly recommend you to buy all paper or e-books in a legal way, for example, on Amazon. But sometimes it might be a need to dig deeper beyond the shiny book cover. Before making a purchase, you can visit resources like Library Genesis and download some topology books mentioned below at your own risk. Once again, we do not host any illegal or copyrighted files, but simply give our visitors a choice and hope they will make a wise decision.
Introduction to Topology and Modern Analysis
Author(s): George F. Simmons
ID: 2320922, Publisher: Krieger Publishing Company, Year: June 1, 2003, Size: 14 Mb, Format: pdf
Adjoint Topology Optimization Theory for Nano-Optics
Author(s): Yongbo Deng
ID: 3196325, Publisher: Springer, Year: 2022, Size: 10 Mb, Format: pdf
Algorithm-Driven Truss Topology Optimization for Additive Manufacturing
Author(s): Christian Reintjes
ID: 3207271, Publisher: Springer Vieweg, Year: 2022, Size: 9 Mb, Format: pdf
Please note that this booklist is not final. Some books are truly record-breakers according to Chicago Tribune, others are composed by unknown writers. On top of that, you can always find additional tutorials and courses on Coursera, Udemy or edX, for example. Are there any other relevant links you could recommend? Leave a comment if you have any feedback on the list.