Topology books

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Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invented by Robin Forman...  Read More >>

Offers a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based...  Read More >>

Contains the proceedings of the CRM Workshops on Probabilistic Methods in Spectral Geometry and PDE, held in 2016...  Read More >>

This book introduces low-dimensional geometry and topology to chemists and materials scientists in an accessible,...  Read More >>

The Shape of Space, Third Edition maintains the standard of excellence set by the previous editions. This lighthearted...  Read More >>

Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name....  Read More >>

The introduction and application of topological geometry (soft geometry) to polymer molecules is a crucial requirement...  Read More >>

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This book explores the mathematical field of topology, giving a sense of the visual elements of the field, as well...  Read More >>

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The first part provides a comprehensive treatment of PDE-constrained optimization including discussions of problems...  Read More >>

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples...  Read More >>

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This book focuses on the applications of variational methods and critical point theory on infinite dimensional manifolds,...  Read More >>

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Chapter 2 deals with local properties of surfaces in 3-dimensional Euclidean space. In Chapter 3, the Riemannian...  Read More >>

The primary aim of this monograph is to achieve part of Beilinson’s program on mixed motives using Voevodsky’s theories...  Read More >>

This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical...  Read More >>

This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca,...  Read More >>

Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book...  Read More >>

This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both...  Read More >>

It features three chapters dealing with point distributions on the sphere, including an extensive treatment of Delsarte–Yudin–Levenshtein...  Read More >>

The text continues with Atiyah's question on possible values of ℓ²-Betti numbers and the relation to Kaplansky's...  Read More >>

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