Topology

This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandro...

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of ...

This textbook provides a comprehensive course in metric spaces. Presenting a smooth takeoff from basic real analysis to metric spaces, every chapte...

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at scho...

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at scho...

Smooth Topological Design of Continuum Structures focuses on the use of a newly-proposed topology algorithm for structural optimization called Smoo...

Arising from the 2022 Japan-US Mathematics Institute, this book covers a range of topics in modern algebraic geometry, including birational geometr...

This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the sta...

Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical background so crucial to the ...

This book is intended to provide a fast, interdisciplinary introduction to the basic results of p-adic analysis and its connections with mathematic...

This book presents the interplay between topological Markov shifts and CuntzKrieger algebras by providing notations, techniques, and ideas in detai...

Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that su...

The aim of the textbook is two-fold: first to serve as an introductory graduate course in Algebraic Topology and then to provide an application-ori...

This book contains all research papers published by the distinguished Brazilian mathematician Elon Lima. It includes the papers from his PhD thesis...

Mathematical Analysis: Theory and Applications provides an overview of the most up-to-date developments in the field, presenting original contribut...

Fixed point theory of nonlinear operators has been a rapidly growing area of research and plays an important role in the study of variational inequ...

From the preface: Hopf algebras, Hopf fibration of spheres, Hopf-Rinow complete Riemannian manifolds, Hopf theorem on the ends of groups - can one ...

This book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of man...

Given a compact Lie group G and a commutative orthogonal ring spectrum R such that R[G]* = *(R ? G+) is finitely generated and projective over *(R)...

This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topology. It offers in-depth insi...

This text will serve as a user's guide to the study of hyperbolic volume. With clear exposition, the author gives a panoramic view of the many tech...

The Four Corners of Mathematics: A Brief History, from Pythagoras to Perelman describes the historical development of the big ideas in mathematics ...

The Four Corners of Mathematics: A Brief History, from Pythagoras to Perelman describes the historical development of the big ideas in mathematics ...

A classic knot is an embedded simple loop in 3-dimensional space. It can be described as a 4-valent planar graph or network in the horizontal plane...

This book gives a detailed presentation of twisted Morse homology and cohomology on closed finite-dimensional smooth manifolds. It contains a compl...

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion thro...

It is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscill...

Roads are essential components of a city. Despite their increasing importance in our daily lives, modeling and simulating road networks is challeng...

This book explores and demonstrates how geometric tools can be used in data analysis. Beginning with a systematic exposition of the mathematical pr...

The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-stan...

For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of auxiliary graphics and cum...

For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of auxiliary graphics and cum...

The book, based on the INdAM Workshop Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology provides a bridge between differ...

This book serves as a friendly stepping stone for readers who wish to start learning differential geometry. It lays down the most essential foundat...

This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the st...

The N-body problem has been investigated since Isaac Newton, however vast tracts of the problem remain open. Showcasing the vibrancy of the problem...

Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition. The monograph gives a systematic treatme...

This book introduces path-breaking applications of concepts from mathematical topology to music-theory topics including harmony, chord progressions...

This unique book offers an introductory course on category theory, which became a working language in algebraic geometry and number theory in the 1...

Geometry is often seen as one of the most beautiful aspects of mathematics. This beauty is probably a result of the fact that one can 'see' this as...

Hex: The Full Story is for anyone - hobbyist, professional, student, teacher - who enjoys board games, game theory, discrete math, computing, or hi...

Olive Whicher's groundbreaking book presents an accessible - non-mathematician's - approach to projective geometry. Profusely illustrated, and writ...

Complex manifolds are smooth manifolds endowed with coordinate charts that overlap holomorphically. They have deep and beautiful applications in ma...

Complex manifolds are smooth manifolds endowed with coordinate charts that overlap holomorphically. They have deep and beautiful applications in ma...