Geometry

The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians.

This concise guide to the differential geometry of curves and surfaces can be recommended to ?

The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory.

String art is a well-known and popular activity that uses string, a board, and nails to produce artistic images (although there are variations that use different modalities).

This book is intended as research.

REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced.

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REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced.

This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and PohangThe conferences were focused on the following two related problems:*  existence of Kahler-Einstein metrics on Fano varieties*  degenerations of Fano varietieson which two famous conjectures were recently proved.

How a simple equation reshaped mathematicsLeonhard Euler's polyhedron formula describes the structure of many objects-from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules.

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A systematic exposition of the basics of period domains.

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact.

This book is essential reading for anyone interested in low-dimensional topology.

This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990.

A volume of papers describing new methods in algebraic geometry.

Proceedings of the conference held at the University of Birmingham in honour of Professor A.

This book will be of great interest to researchers into algebraic topology.

The authors discuss comprehensively the generalization of results and applications to quasi-symmetric designs.

This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds.

A polarised variety is a modern generalization of the notion of a variety in classical algebraic geometry.

This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebraic geometry.

This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids.

In this volume, which is dedicated to H.

Stiefel manifolds are an interesting family of spaces much studied by algebraic topologists.

This set of notes is aimed at graduate students who are specializing in algebraic topology.

The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.

Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.

Mathematical tools for the study of generalisations of graphs appearing in the modelling of molecular structures.

This book introduces D-modules and their applications avoiding all unnecessary over-sophistication.

A lucid and concise account of the classification of algebraic surfaces.

This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.

This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level.

Visionary articles explaining approaches to important problems on the interface of pure mathematics and mathematical physics.

A comprehensive overview of modern Banach space theory.

A collection of articles giving overviews and open questions in singularities and their computational aspects.

Lecture notes for graduates or researchers wishing to enter this modern field of research.

This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

The lectures in this 2005 book are intended to bring young researchers to the current frontier of knowledge in geometrical mechanics and dynamical systems.

First collection of papers on elliptic cohomology in twenty years; represents the diversity of topics within this important field.

A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.

A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.

This book, first published in 2006, details how limit processes can be represented algebraically.

Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.

An introduction to Ricci flow suitable for graduate students and research mathematicians.

A handbook of key articles providing both an introduction and reference for newcomers and experts alike.

Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.

Authoritative lectures from world experts on spectral theory and geometry.

A thoroughly revised introduction to non-commutative geometry.

This book surveys progress in the domains described in Grothendieck''s seminal manuscript ''Esquisse d''un Programme''.