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This monograph offers a compelling exploration of structures induced by smooth vector flows on the boundaries of compact......more

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The book includes recent articles on various topics studied recently in Banach algebras and abstract harmonic analysis. ......more

In The Mind of Complex Numbers and the Subject in Analyses, Raul Moncayo uses the complex plane to evaluate analytic out......more

The theme of this book is to establish a link between gauge theory and L -cohomology theory. Although both theories focu......more

This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators ac......more

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The Magic Theorem: a Greatly-Expanded, Much-Abridged Edition of The Symmetries of Things presents a wonder- fully unique......more

The Magic Theorem: a Greatly-Expanded, Much-Abridged Edition of The Symmetries of Things presents a wonder- fully unique......more

This book provides an introduction to the theory of connection matrices in the context of combinatorial multivector fiel......more

This classic text appears here in a new edition for the first time in four decades. The new edition, with the aid of two......more

"Variable Dimension Complexes, Part II: A Unified Approach to Some Combinatorial Lemmas in Topology" presents a rigorous......more

"Variable Dimension Complexes, Part II: A Unified Approach to Some Combinatorial Lemmas in Topology" presents a rigorous......more

"A Topological Theory Of Learning" presents a groundbreaking approach to understanding learning processes through the le......more

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The book introduces (co)homology theory and some of its applications in Algebra and Geometry. It is intended for undergr......more

This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in B......more

The K-stability of Fano varieties has been a major area of research over the last decade, ever since the Yau-Tian-Donald......more

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An authoritative introduction to the essential features of étale cohomology A. Grothendieck’s work on algebraic geometry......more

This book explores three computational formalisms for solving geometric problems. Part I introduces a trigonometric-base......more

Explore four-dimensional paper constructions inspired by the work of great mathematicians like Möbius, Klein, Boy, Hopf,......more

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This book delves into the intricate world of fixed point theory, focusing on the Krasnoselskii-Mann method to tackle com......more

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Module theory is a fundamental area of algebra, taught in most universities at the graduate level. This textbook, writte......more

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are......more

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are......more

This volume consists of several papers written by the main participants of the 7th International Colloquium on Different......more

Geometry is one of the most beautiful aspects of mathematics. This beauty is because you can ’see’ geometry at work. Mos......more

This comprehensive guide addresses key challenges at the intersection of data science, graph learning, and privacy prese......more

This book is dedicated to metric spaces and their topology. The book starts with ZFC axioms. The real number system is c......more

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geom......more

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

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For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of......more

This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topolo......more

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

Graph Theory is a branch of discrete mathematics. It has many applications to many different areas of Science and Engine......more

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

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

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

In general terms, a graph decomposition is a partition of a graph into parts satisfying some special conditions. Methods......more

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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