Geometry

This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field theory.

This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations.

Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra.

An engaging graduate-level introduction that bridges analysis and geometry.

The book is devoted to algorithmic low-dimensional topology.

The Shape of Space, Third Edition maintains the standard of excellence set by the previous editions.

This monograph deals with the Hadamard products of algebraic varieties.

This monograph presents the geometric foundations of continuum mechanics.

In 1884, Edwin Abbott Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures-who think and speak and have all too human emotions.

This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications.

Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory.

"e;Spherical soap bubbles"e;, isometric minimal immersions of round spheres into round spheres, or spherical immersions for short, belong to a fast growing and fascinating area between algebra and geometry.

The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "e;Topological Methods in Differential Equations and Inclusions"e;.

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences.

George Gratzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998).

The aim of this book is to throw light on various facets of geometry through development of four geometrical themes.

This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications.

This is a textbook on differential geometry well-suited to a variety of courses on this topic.

The second part of a two-volume set offering a systematic explanation of symplectic topology.

The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in "e;Mathematics, Chemistry, and Astronomy - Professional and Reference"e; in 1991.

These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization.

This book presents recent results on positivity and optimization of polynomials in non-commuting variables.

By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments.

The first part of this book introduces the Schubert Cells and varieties of the general linear group Gl (k^(r+1)) over a field k according to Ehresmann geometric way.

This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging).

This book is intended to give students at the advanced undergraduate or introduc- tory graduate level, and researchers in computer vision, robotics and computer graphics, a self-contained introduction to the geometry of three-dimensional (3- D) vision.

William Thurston's ideas have altered the course of twentieth century mathematics, and they continue to have a significant influence on succeeding generations of mathematicians.

Treated in this volume are selected topics in analytic &Ggr;-almost-periodic functions and their representations as &Ggr;-analytic functions in the big-plane; n-tuple Shilov boundaries of function spaces, minimal norm principle for vector-valued functions and their applications in the study of vector-valued functions and n-tuple polynomial and rational hulls.

This is the Proceedings of the ICM 2010 Satellite Conference on "e;Buildings, Finite Geometries and Groups"e; organized at the Indian Statistical Institute, Bangalore, during August 29 - 31, 2010.

A comprehensive, rigorous treatment of geometric tomography, with 66 unsolved problems, over 70 illustrations, and over 800 references.

Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality.

Explore shattering ethical, political and practical quagmires in this gripping ecological thriller.

Presents hyperspace fundamentals, offering a basic overview and a foundation for further study.

This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory.

This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University.

This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University.

Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and self-contained exposition of recent developments in Riemannian submersions and maps relevant to complex geometry, focusing particularly on novel submersions, Hermitian manifolds, and K\{a}hlerian manifolds.

An authoritative introduction to the essential features of etale cohomologyA.

The subject of this volume, recent developments in foliation theory and important related analytic and geometric techniques, is an active field in the application of both global analysis and geometric topological theory of manifolds to the study of foliations.

Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail.

The theory of groups and Lie algebras is interesting for many reasons.

The subject of geometry has become an important ingredient in condensed matter physics.

In this book invariant probabilities for a large class of discrete-time homogeneous Markov processes known as Feller processes are discussed.