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Best Topology Books: The Ultimate List

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.

Introduction to Topology: Third Edition (Dover Books on Mathematics) (1990)

 Best Topology Books: The Ultimate ListHighly 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.
Author(s): Bert Mendelson

Team Topologies: Organizing Business and Technology Teams for Fast Flow (2019)

 Best Topology Books: The Ultimate ListEffective 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.
Author(s): Matthew Skelton , Manuel Pais, et al.

Principles of Topology (Dover Books on Mathematics) (2016)

 Best Topology Books: The Ultimate ListTopology 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.
Author(s): Fred H. Croom

General Topology (Dover Books on Mathematics) (2004)

 Best Topology Books: The Ultimate ListAmong the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students.
Author(s): Stephen Willard

Introduction to Topology (Second Edition) (1973)

 Best Topology Books: The Ultimate ListPaperback 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?
Author(s): Mendelson B

The Pushing Points Topology Workbook: Volume 01 (2018)

 Best Topology Books: The Ultimate ListThe 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.
Author(s): William C Vaughan

Topology for Beginners: A Rigorous Introduction to Set Theory, Topological Spaces, Continuity, Separation, Countability, Metrizability, Compactness, … Function Spaces, and Algebraic Topology (2019)

 Best Topology Books: The Ultimate Listconsists 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.
Author(s): Steve Warner

Algebraic Topology (2001)

 Best Topology Books: The Ultimate ListIn 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.
Author(s): Allen Hatcher

Topology And Physics (2019)

 Best Topology Books: The Ultimate ListSince 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.
Author(s): Chen Ning Yang

Topology by Munkres – International Economy Edition (1900)

 Best Topology Books: The Ultimate List***** INTERNATIONAL EDITION ***** ***** INTERNATIONAL EDITION ***** ***** INTERNATIONAL EDITION *****
Author(s): James Munkres

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.

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