Topology

This new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.

This new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.

This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

A readable exposition of how Euclidean and other geometries can be distinguished using linear algebra and transformation groups.

This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

This book tells the story of the first computer exploration of Klein''s vision of infinitely repeated reflections, featuring extraordinary images.

A comprehensive introduction to the mathematical description of strings, D-branes and the geometry of strongly curved spacetime.

A comprehensive introduction to the mathematical description of strings, D-branes and the geometry of strongly curved spacetime.

Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.

Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.

The second volume of three providing a full and detailed account of undergraduate mathematical analysis.

A unique presentation of modern geometric methods in quantum field theory for researchers and graduate students in mathematics and physics.

The second volume of three providing a full and detailed account of undergraduate mathematical analysis.

A unique presentation of modern geometric methods in quantum field theory for researchers and graduate students in mathematics and physics.

Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.

Introduces the basic concepts of topology with an emphasis on non-Hausdorff topology, which is crucial for theoretical computer science.

Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.

Introduces the basic concepts of topology with an emphasis on non-Hausdorff topology, which is crucial for theoretical computer science.

Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.

Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.

This volume records the lectures given at a conference to celebrate Professor Ioan James'' 60th birthday.

A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos.

An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra.

A self-contained account of the subject of algebraic cycles and motives as it stands.

Discussion of theory and applications of algebraic curves over finite fields with many rational points.

This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.

University-level introduction that leads to topics of current research in the theory of harmonic maps.

Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory.

Homotopy of 4-manifolds for researchers and graduate students.

Authoritative collection of surveys and papers that will be indispensable to all research workers in the area.

These notes are based on a series of lectures given at the Advanced Research Institute of Discrete Applied Mathematics, Rutgers University.

This book is based on a course taught to an audience of undergraduate and graduate students at Oxford, and can be viewed as a bridge between the study of metric spaces and general topological spaces.

This is a memorial volume to the distinguished Canadian-born mathematician Hugh Dowker.

A self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory.

This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.

An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra.

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

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics.

The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems.

This book provides a computational and algorithmic foundation for techniques in topological data analysis, with examples and exercises.

This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.

A study of large deviations for empirical measures and vector-valued additive functionals of general state space Markov chains.

This monograph provides a comprehensive introduction to surgery theory, the main tool in the classification of manifolds.

This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.

This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.

This book gives a complete proof of the Verlinde formula and of its connection to generalized theta functions.