Geometry

This volume examines state of the art research in finite geometries and designs.

This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

This account is a study of twofold symmetry in algebraic topology.

Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics

Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

Important monograph on finite group theory.

A comprehensive introduction to convex bodies giving full proofs for some deeper theorems which have never previously been brought together.

The book is a self-contained introduction to the results and methods in classical invariant theory.

An elementary introduction to homology theory suitable for undergraduate courses or for self-study.

Spencer Bloch''s landmark lectures are finally back in print, with a new preface by the author reflecting on recent developments.

Build paper polygons and discover how systematic paper folding reveals exciting patterns and relationships between seemingly unconnected branches of mathematics.

This easy-to-read introduction takes the reader from elementary problems through to current research.

Moving frames explained in the language of undergraduate calculus, suitable for graduate students.

This highly regarded book is back in print and now updated to reflect recent advances in the field.

The classic presentation of a universal method for the resolution of a class of singularities in algebraic geometry.

An up-to-date account of algebraic statistics and information geometry, which also explores the emerging connections between these two disciplines.

Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory.

This book presents a coherent and unified account of classical and more advanced techniques for analyzing the performance of randomized algorithms.

A collection of articles presenting the state of the art in the topic of modular forms.

This book presents an accessible and engaging approach to geometric group theory; ideal for advanced undergraduates.

The main tools of involutive systems of complex vector fields together with the major results from last twenty five years.

This 2007 textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries.

A comprehensive treatment of Floer homology, based on the Seiberg–Witten equations, first published in 2007.

An account of effective methods in transcendental number theory and Diophantine geometry by eminent authors.

Surveys, research articles, and commented problems based on a 2004 MRSI research workshop in symplectic geometry, ergodicity, hyperbolic dynamics, and other areas.

Excellent introductory text on the contemporary theory of hyperbolic 3-manifolds.

Central concepts most useful for computation; for undergraduate/graduate students in mathematics, researchers in applications.

A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations; contains the latest research findings.

The first book entirely devoted to visibility algorithms in computational geometry.

This graduate text provides a concise and self-contained introduction to Kähler geometry.

A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.

Rigorous descriptions and analyses of the main algorithms for different variations of the Geometric Spanner Network Problem.

Details the interaction between the two vigorous fields of non-commutative geometry and quantum stochastic processes.

This 2007 book describes ocean models for graduate students and researchers in oceanography, geophysics, climatology and atmospheric science.

Introduction to singularity theory based on MSc course taught by author; novel synthesis, with new results not found elsewhere.

A rapid route for graduate students and researchers to the frontiers of research in this evergreen subject, first published in 2005.

A 2007 graduate text on spectral methods with applications in fluid dynamics and engineering.

An advanced undergraduate and graduate textbook introducing differential geometry for theoretical physics and applied mathematics.

SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.

The first modern, comprehensive introduction to central simple algebras for graduate students and researchers.

This corrected and clarified second edition, first published in 2006, includes a new chapter on the Riemannian geometry of surfaces.

This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies.

An introduction to key concepts of quantum information processing for graduates and researchers.

A comprehensive account, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces.

This book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.

Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory.

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

This book presents a complete proof of Connes'' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.

An introduction to the ideas of geometry and includes generous helpings of simple explanations and examples.

Unified introduction to algebra and geometry, emphasising links between the topics.