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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.

1. Topology (Classic Version) (2nd Edition) (Pearson Modern Classics for Advanced Mathematics Series) (2017)

Best Topology Books: The Ultimate ListFor 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. This text is designed to provide instructors with a convenient single text resource for bridging between general…
Author(s): James Munkres

2. 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. The book’s principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.The author begins with an informal discussion of set theory in Chapter 1, reserving…
Author(s): Bert Mendelson

3. 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. It is a model that treats teams as the fundamental means of delivery, where team structures and communication pathways are able to evolve with technological and organizational maturity.In Team Topologies, IT consultants Matthew Skelton and Manuel Pais share…
Author(s): Matthew Skelton , Manuel Pais, et al.

4. 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. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis.Customary topics of…
Author(s): Fred H. Croom

5. 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. Its treatment encompasses two broad areas of topology: “continuous topology,” represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and “geometric topology,” covered by nine sections on connectivity properties, topological characterization theorems, and homotopy theory. Many standard spaces are introduced in the related problems that…
Author(s): Stephen Willard

6. 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

7. 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. Instead, it teaches you the foundation of SubD topology, so you can construct ANY SubD asset with clean polygon flow….
Author(s): William C Vaughan

8. 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. Topology for Beginners is perfect for The material in this pure math book includes: Here’s a selection from the table of contents:Introduction Lesson 1 – Sets and SubsetsLesson 2 – Operations on SetsLesson 3 – RelationsLesson 4 – Functions and EquinumerosityLesson 5 – Number Systems and InductionLesson 6 – Algebraic Structures and CompletenessLesson 7 – Basic…
Author(s): Steve Warner

9. 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. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many…
Author(s): Allen Hatcher

10. 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. From Chern–Simons theory to topological quantum field theory, from knot invariants to Calabi–Yau compactification in string theory, from spacetime topology in cosmology to the recent Nobel Prize winning work on topological insulators, the interactions between topology and physics have been a triumph over the past…
Author(s): Chen Ning Yang

11. 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 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
Publisher: Krieger Publishing Company, Year: June 1, 2003, Size: 14 Mb, Download: pdf
ID: 2320922

Topics in Magnetohydrodynamic Topology, Reconnection and Stability Theory

Author(s): David MacTaggart, Andrew Hillier
Publisher: Springer International Publishing, Year: 2020, Size: 7 Mb, Download: pdf
ID: 2407925

Design of a Non-isolated Single Phase Online UPS Topology with Parallel Battery Bank for Low Power Applications

Author(s): Muhammad Aamir
Publisher: Springer Singapore, Year: 2019, Size: 7 Mb, Download: pdf
ID: 2254690

Topology-Based Modeling of Textile Structures and Their Joint Assemblies: Principles, Algorithms and Limitations

Author(s): Yordan Kyosev
Publisher: Springer International Publishing, Year: 2019, Size: 17 Mb, Download: pdf
ID: 2309972

Computational Topology in Image Context: 7th International Workshop, CTIC 2019, Málaga, Spain, January 24-25, 2019, Proceedings

Author(s): Rebeca Marfil, Mariletty Calderón, Fernando Díaz del Río, Pedro Real, Antonio Bandera
Publisher: Springer International Publishing, Year: 2019, Size: 27 Mb, Download: pdf
ID: 2354795

Algebraic Topology and Related Topics

Author(s): Mahender Singh, Yongjin Song, Jie Wu
Publisher: Springer Singapore;Birkhäuser, Year: 2019, Size: 6 Mb, Download: pdf
ID: 2355682

INTRODUCTION TO TOPOLOGY.

Author(s): SINGH, TEJ BAHADUR
Publisher: SPRINGER VERLAG, SINGAPOR, Year: 2019, Size: 7 Mb, Download: pdf
ID: 2366046

Topology by James Munkres: Solution Manual

Author(s): Dan Whitman
Publisher: , Year: 2019, Size: 975 Kb, Download: pdf
ID: 2375258

Topology and physics

Author(s): Ge, Mo-Lin; He, Yang-Hui; Yang, Chen Ning
Publisher: World Scientific, Year: 2019, Size: 28 Mb, Download: pdf
ID: 2384968

Knots, Low-Dimensional Topology and Applications: Knots in Hellas, International Olympic Academy, Greece, July 2016

Author(s): Colin C. Adams, Cameron McA. Gordon, Vaughan F.R. Jones, Louis H. Kauffman, Sofia Lambropoulou, Kenneth C. Millett, Jozef H. Przytycki, Renzo Ricca, Radmila Sazdanovic
Publisher: Springer International Publishing, Year: 2019, Size: 14 Mb, Download: pdf
ID: 2407869

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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