Topology

A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.

Provides an introduction to critical point theory and shows how it solves many difficult problems.

A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.

This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.

This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

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.

Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way.

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.