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Advanced Topics in Topology

Advanced Topics in Topology

Discover the fascinating world of topology in this engaging and comprehensive guide. From understanding fundamental conc......more

Geometry of Crystallographic Groups (Second Edition)

Geometry of Crystallographic Groups (Second Edition)

It is eleven years since the First Edition of Geometry of Crystallographic Groups appeared. This Second Edition expands ......more

Quipu: Decorated Permutation Representations of Finite Groups

Quipu: Decorated Permutation Representations of Finite Groups

This book studies dihedral groups, dicyclic groups, other finite subgroups of the 3-dimensional sphere, and the 2-fold e......more

Separate and Joint Continuity

Separate and Joint Continuity

Separate and Joint Continuity presents and summarises the main ideas and theorems that have been developed on this topic......more

Toric Topology and Polyhedral Products

Toric Topology and Polyhedral Products

  • Ingram,出版日期:2024-06-11

This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collec......more

Lagrangian Floer Theory and Its Deformations: An Introduction to Filtered Fukaya Category

Lagrangian Floer Theory and Its Deformations: An Introduction to Filtered Fukaya Category

A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which......more

Infinite Group Actions on Polyhedra

Infinite Group Actions on Polyhedra

In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central t......more

Rank 2 Amalgams and Fusion Systems

Rank 2 Amalgams and Fusion Systems

This monograph provides a comprehensive treatment of the classification of small fusion systems, that is, fusion systems......more

Symplectic and Contact Geometry: A Concise Introduction

Symplectic and Contact Geometry: A Concise Introduction

This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships betwee......more

Lectures in Fractal Geometry

Lectures in Fractal Geometry

This book is based on a series of lectures at the Mathematics Department of the University of Jena, developed in the per......more

The Cohomology of Monoids

The Cohomology of Monoids

This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original mono......more

Point-Set Topology with Topics: Basic General Topology for Graduate Studies

Point-Set Topology with Topics: Basic General Topology for Graduate Studies

This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. Howe......more

Royal Road to Topology, A: Convergence of Filters

Royal Road to Topology, A: Convergence of Filters

Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context ......more

The Mathematics of Quantum Mechanics in Highly-Curved Spacetime

The Mathematics of Quantum Mechanics in Highly-Curved Spacetime

Unravel the intricate relationship between quantum mechanics and highly-curved spacetime in this groundbreaking book by ......more

Affine Algebraic Geometry: Geometry of Polynomial Rings

Affine Algebraic Geometry: Geometry of Polynomial Rings

Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric......more

C∞-Algebraic Geometry with Corners

C∞-Algebraic Geometry with Corners

Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds whic......more

Complex Algebraic Threefolds

Complex Algebraic Threefolds

The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model progra......more

Metric Space Topology

Metric Space Topology

This introductory book contains a rich collection of exercises and worked examples in Metric Spaces. Other than question......more

Fixed Point Theory in Generalized Metric Spaces

Fixed Point Theory in Generalized Metric Spaces

This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topolog......more

Grothendieck Construction of Bipermutative-Indexed Categories

Grothendieck Construction of Bipermutative-Indexed Categories

This book is suitable for graduate students and researchers with an interest in category theory, algebraic K-theory, hom......more

Handbook of Truly Concurrent Process Algebra

Handbook of Truly Concurrent Process Algebra

Handbook of Truly Concurrent Process Algebra provides readers with a detailed and in-depth explanation of the algebra us......more

Research Topics in Analysis, Volume I: Grounding Theory

Research Topics in Analysis, Volume I: Grounding Theory

This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of mod......more

Algebraic Foundations for Applied Topology and Data Analysis

Algebraic Foundations for Applied Topology and Data Analysis

This book gives an intuitive and hands-on introduction to Topological Data Analysis (TDA). Covering a wide range of topi......more

A Comprehensive Textbook on Metric Spaces

A Comprehensive Textbook on Metric Spaces

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

Recent Advances in Alexandrov Geometry

Recent Advances in Alexandrov Geometry

  • Ingram,出版日期:2023-10-28

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the adva......more

Handbook of Geometry and Topology of Singularities IV

Handbook of Geometry and Topology of Singularities IV

  • Ingram,出版日期:2023-10-08

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

Introduction to String Theory

Introduction to String Theory

Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical ba......more

Recent Progress in Mathematics

Recent Progress in Mathematics

  • Ingram,出版日期:2023-10-02

This book consists of five chapters presenting problems of current research in mathematics, with its history and develop......more

Character Map in Nonabelian Cohomology, The: Twisted, Differential, and Generalized

Character Map in Nonabelian Cohomology, The: Twisted, Differential, and Generalized

This book presents a novel development of fundamental and fascinating aspects of algebraic topology and mathematical phy......more

Differential Geometry and Its Visualization

Differential Geometry and Its Visualization

Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving bot......more

The Calabi Problem for Fano Threefolds

The Calabi Problem for Fano Threefolds

Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that c......more

Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I

Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I

The book addresses a key question in topological field theory and logarithmic conformal field theory: In the case where ......more

Flows on Compact Surfaces: The Weil-Hedlund-Anosov Program

Flows on Compact Surfaces: The Weil-Hedlund-Anosov Program

This textbook offers a uniquely accessible introduction to flows on compact surfaces, filling a gap in the existing lite......more

Groups of Homotopy Spheres, I

Groups of Homotopy Spheres, I

This book is a groundbreaking work in the field of topology, exploring the properties of homotopy spheres and the variou......more

Invariants Of The Finite Continuous Groups Of The Plane

Invariants Of The Finite Continuous Groups Of The Plane

This mathematical treatise explores the invariants of finite continuous groups on the plane. Rothrock’s clear and rigoro......more

The Advanced Part of A Treatise on the Dynamics of a System of Rigid Bodies

The Advanced Part of A Treatise on the Dynamics of a System of Rigid Bodies

The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies is a foundational text in the field of mecha......more

Groups of Homotopy Spheres, I

Groups of Homotopy Spheres, I

This book is a groundbreaking work in the field of topology, exploring the properties of homotopy spheres and the variou......more

Invariants Of The Finite Continuous Groups Of The Plane

Invariants Of The Finite Continuous Groups Of The Plane

This mathematical treatise explores the invariants of finite continuous groups on the plane. Rothrock’s clear and rigoro......more

The Advanced Part of A Treatise on the Dynamics of a System of Rigid Bodies

The Advanced Part of A Treatise on the Dynamics of a System of Rigid Bodies

The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies is a foundational text in the field of mecha......more

Four-Dimensional Manifolds and Projective Structure

Four-Dimensional Manifolds and Projective Structure

This book may be considered first as an introduction to differential geometry and, in particular, to 4-dimensional manifol......more

Basic Topology 1: Metric Spaces and General Topology

Basic Topology 1: Metric Spaces and General Topology

This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of......more

Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube

Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube

​This book discusses the process by which Ulam’s conjecture is proved, aptly detailing how mathematical problems may be ......more

Visual Complex Analysis 25th Anniversary Edition

Visual Complex Analysis 25th Anniversary Edition

Complex Analysis is the powerful fusion of the complex numbers (involving the ’imaginary’ square root of -1) with ordina......more

Handbook of Geometry and Topology of Singularities III

Handbook of Geometry and Topology of Singularities III

  • Ingram,出版日期:2023-06-08

This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an ac......more

Topology and Geometry of Intersections of Ellipsoids in R^n

Topology and Geometry of Intersections of Ellipsoids in R^n

This book gives an overview of research in the topology and geometry of intersections of quadrics in $ mathbb{R} n$, wit......more

Research in Computational Topology 2

Research in Computational Topology 2

  • Ingram,出版日期:2023-05-12

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied ......more

Advances in Topology and Their Interdisciplinary Applications

Advances in Topology and Their Interdisciplinary Applications

  • Ingram,出版日期:2023-05-11

This book contains selected chapters on recent research in topology. It bridges the gap between recent trends of topolog......more

A Topology of Mind: Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More

A Topology of Mind: Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More

This volume covers many diverse topics related in varying degrees to mathematics in mind including the mathematical and ......more

Image Processing with Cellular Topology

Image Processing with Cellular Topology

This book explains why the finite topological space known as abstract cell complex is important for successful image pro......more

Basic Topology 3: Algebraic Topology and Topology of Fiber Bundles

Basic Topology 3: Algebraic Topology and Topology of Fiber Bundles

This third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles f......more

A Study on Generalized Topological Simple Groups and Related Concepts

A Study on Generalized Topological Simple Groups and Related Concepts

"A Study on Generalized Topological Simple Groups and Related Concepts" is a comprehensive book written by Selvi C, an e......more

Visual Complex Analysis

Visual Complex Analysis

Complex Analysis is the powerful fusion of the complex numbers (involving the ’imaginary’ square root of -1) with ordina......more

Research Directions in Symplectic and Contact Geometry and Topology

Research Directions in Symplectic and Contact Geometry and Topology

  • Ingram,出版日期:2023-02-04

This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, ......more

One-Cocycles and Knot Invariants

One-Cocycles and Knot Invariants

One-Cocycles and Knot Invariants is about classical knots, i.e., smooth oriented knots in 3-space. It introduces discret......more

Topology and Approximate Fixed Points

Topology and Approximate Fixed Points

This book examines in detail approximate fixed point theory in different classes of topological spaces for general class......more

Stacks Project Expository Collection (Spec)

Stacks Project Expository Collection (Spec)

  • Ingram,出版日期:2023-01-26

The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to......more

Recent Developments in Algebraic Geometry: To Miles Reid for His 70th Birthday

Recent Developments in Algebraic Geometry: To Miles Reid for His 70th Birthday

  • Ingram,出版日期:2023-01-26

Written in celebration of Miles Reid’s 70th birthday, this illuminating volume contains 11 papers by leading mathematici......more

Topological Dynamics of Enveloping Semigroups

Topological Dynamics of Enveloping Semigroups

This book introduces the theory of enveloping semigroups--an important tool in the field of topological dynamics--introd......more

Fixed Point Theory in Generalized Metric Spaces

Fixed Point Theory in Generalized Metric Spaces

This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topolog......more

Research Topics in Analysis, Volume I: Grounding Theory

Research Topics in Analysis, Volume I: Grounding Theory

This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of mod......more

Algebraic Foundations for Applied Topology and Data Analysis

Algebraic Foundations for Applied Topology and Data Analysis

This book gives an intuitive and hands-on introduction to Topological Data Analysis (TDA). Covering a wide range of topi......more

Structure and Regularity of Group Actions on One-Manifolds

Structure and Regularity of Group Actions on One-Manifolds

This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work......more

Handbook of Geometry and Topology of Singularities II

Handbook of Geometry and Topology of Singularities II

  • Ingram,出版日期:2022-11-03

Preface.- Contents.- Chapter 1 The Analytic Classificatio of Irreducible Plane Curve Singularities.- Chapter 2 Plane alg......more

Recent Advances in Alexandrov Geometry

Recent Advances in Alexandrov Geometry

  • Ingram,出版日期:2022-10-28

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the adva......more

The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies

The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization......more

The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies

The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization......more

Normal Surface Singularities

Normal Surface Singularities

This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a speci......more

Recent Progress in Mathematics

Recent Progress in Mathematics

  • Ingram,出版日期:2022-10-01

This book consists of five chapters presenting problems of current research in mathematics, with its history and develop......more

Topological Methods in Data Analysis and Visualization VI: Theory, Applications, and Software

Topological Methods in Data Analysis and Visualization VI: Theory, Applications, and Software

  • Ingram,出版日期:2022-09-30

This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Swed......more

Topological Dynamics and Topological Data Analysis: Iwcta 2018, Kochi, India, December 9-11

Topological Dynamics and Topological Data Analysis: Iwcta 2018, Kochi, India, December 9-11

  • Ingram,出版日期:2022-09-25

This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held......more

Classical Hopf Algebras and Their Applications

Classical Hopf Algebras and Their Applications

This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative a......more

Mirzakhani’s Curve Counting and Geodesic Currents

Mirzakhani’s Curve Counting and Geodesic Currents

1. Introduction.- 2. Read Me.- 3. Geodesic Currents.- 4. Train Tracks.- 5. Radallas.- 6. Subconvergence of Measures.- 7.......more

Basic Topology 2: Topological Groups, Topology of Manifolds and Lie Groups

Basic Topology 2: Topological Groups, Topology of Manifolds and Lie Groups

1. Background on Topology, Analysis and Algebra.- 2. Topological Groups.- 3. Topology of Manifolds.- 4. Lie Groups and L......more

Sharkovsky Ordering

Sharkovsky Ordering

This book provides a comprehensive survey of the Sharkovsky ordering, its different aspects and its role in dynamical sy......more

Braids and Dynamics

Braids and Dynamics

Introduction.- Topological dynamics on the torus.- Stretching with three rods.- Braids.- The Thurston-Nielsen classifica......more

Invertible Fuzzy Topological Spaces

Invertible Fuzzy Topological Spaces

Motivation and Preliminaries.- H-fuzzy topological spaces.- Invertible fuzzy topological spaces.- Types of invertible fu......more

A Ludic Journey Into Geometric Topology

A Ludic Journey Into Geometric Topology

Preface.- Mathematical Models.- The Big Bang Theory of Ancient Greece.- Geometry: From disorder to order.- Topology.- Fo......more

Walk the Rainbow: Live the Way of Wholeness

Walk the Rainbow: Live the Way of Wholeness

Seekers on the quest for self-knowledge have long been inspired by the maxim, Man, know thyself and thou shalt know the ......more

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