Topology

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.

Comprehensive and up-to-date coverage of topological graph theory.

The first fully self-contained introduction to geometric algebra by two leading experts in the field.

The first fully self-contained introduction to geometric algebra by two leading experts in the field.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

Guides the reader through the nonlinear Perron–Frobenius theory, introducing them to recent developments and challenging open problems.

Systematic exposition of current knowledge about the Mandelbrot set, discussing the latest research and results.

A systematic introduction to a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes.

Introduction to Riemann surfaces for graduates and researchers, giving refreshingly new insights into the subject.

An accessible introduction to Poisson geometry suitable for graduate students.

This 2003 book deals with two fundamental problems in low-dimensional topology with an eye on wider context.

An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi–Grothendieck theory of dessins d''enfants.

Develops a full set of homotopical algebra techniques dedicated to the study of higher categories.

The state of the art from an internationally respected line up of authors working in geometric variational problems.

The first detailed elementary introduction to (non-abelian) Galois cohomology.

Coverage includes foundational material as well as current research, authored by top specialists within their fields.

Important and original research in the fast-developing subject of Kleinian groups and hyperbolic 3-manifolds.

Reissued articles from two classic sources on hyperbolic manifolds with new sections describing recent work.

The first textbook on the subgroup structure, in particular maximal subgroups, for both algebraic and finite groups of Lie type.

Surveys and articles on recent developments in pure and applied singularity theory.

A complement to standard books on commutative algebra providing complete and relatively easy proofs of important results.

Comprehensive and up-to-date coverage of topological graph theory.

This book combines a detailed exposition of the basics of fusion systems with a survey of the current state of the field.

The first book to deal comprehensively with the theory of fusion systems.

The central concern of the book is the impact of global terror networks and state counterterrorism on twentieth-century fiction.

This classic text appears here in a new edition for the first time in four decades.

This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields.

This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications.

This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue.

This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue.

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions.

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions.

A comprehensive, self-contained treatment presenting general results of the theory.

A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra.

An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition .

An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition .

A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra.

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

A complete, self-contained introduction to a powerful and resurging mathematical discipline Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes T th, Rogers, and Erd's.

Presents up-to-date Banach space results.

A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented.

A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach.

A comprehensive, self-contained treatment presenting general results of the theory.

The essentials of point-set topology, complete with motivation and numerous examples Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn.

This is the first self-contained exposition of the connections between symbolic dynamical systems, dimension groups and Bratteli diagrams.

This timely text introduces topological data analysis from scratch, with detailed case studies.

This book develops the theory of infinite-dimensional categories by studying the universe, or ∞-cosmos, in which they live.

A collection of research papers, both new and expository, based on the interests of Professor J.

This introduction to braid groups keeps prerequisites to a minimum, while discussing their rich mathematical properties and applications.