Geometry

This book provides a rigorous and self-contained review of desingularization theory.

A NATO Advanced Study Institute entitled "e;Algebraic K-theory and Algebraic Topology"e; was held at Chateau Lake Louise, Lake Louise, Alberta, Canada from December 12 to December 16 of 1991.

This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics.

This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces.

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum.

This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry.

Coding, Shaping, Making combines inspiration from architecture, mathematics, biology, chemistry, physics and computation to look towards the future of architecture, design and art.

Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory.

This is a book about infinity - specifically the infinity of numbers, and how one kind of infinity is greater than all the rest.

This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the study of scalar curvature rigidity and positive mass theorems using spinors and the Dirac operator It is intended for both graduate students and researchers.

This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding of the fundamentals of differential geometry and symmetries in classical physics.

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

Within traditional decision theory, common decision principles -- e.

This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics.

This 1998 book explains the design of geometry algorithms, including discussion of implementation issues and working C code.

Based on a course given at Oxford over many years, this book is a short and concise exposition of the central ideas of general relativity.

This textbook provides a second course in complex analysis with a focus on geometric aspects.

This book reports on an original approach to problems of loci.

Following the success of the first edition, recent developments in the field of morphological image analysis called for an extended second edition.

Approach your problems from the right It isn't that they can't see the solution.

The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

This book, Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B), is the second in a captivating series of four books presenting a choice of topics, among fundamental and more advanced in differential geometry (DG).

This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula.

Focussing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD).

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.

to introduce these techniques and additional background is provided in appendices.

It is known that to any Riemannian manifold (M, g ) , with or without boundary, one can associate certain fundamental objects.

The falling cat is an interesting theme to pursue, in which geometry, mechanics, and control are in action together.

This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes.

The main topics of the conference on "Curves in Projective Space" were good and bad families of projective curves, postulation of projective space curves and classical problems in enumerative geometry.

This book develops and applies a theory of the ambient metric in conformal geometry.

This book deals with the new class of one-dimensional variational problems - the problems with branching solutions.

This highly readable book aims to ease the many challenges of starting undergraduate research.

This graduate-level monographic textbook treats applied differential geometry from a modern scientific perspective.

A timely collection of advanced, original material in the area of statistical methodology motivated by geometric problems, dedicated to the influential work of Kanti V.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

This book provides the solutions to all 347 exercises contained in the text Convexity from the Geometric Point of View, published in the same Cornerstones series.

Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory.

The book covers a wide area of hot subjects in real and complex differential geometry, such as conformal geometry, special holonomy, Sasakian geometry, Kähler and non-Kähler metrics, classification of compact complex surfaces, Einstein metrics, bi-Hermitian geometry, non-integrable almost complex structures, etc.

This monograph presents a new model of mathematical structures called weak n-categories.

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

This book develops a new theory in convex geometry, generalizing positive bases and related to Caratheordory's Theorem by combining convex geometry, the combinatorics of infinite subsets of lattice points, and the arithmetic of transfer Krull monoids (the latter broadly generalizing the ubiquitous class of Krull domains in commutative algebra)This new theory is developed in a self-contained way with the main motivation of its later applications regarding factorization.

This book delves into the p-adic Simpson correspondence, its construction, and development.

Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985.