Geometry category: 871 books

Cover of Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
by
Language: English
Release Date: June 10, 2017

The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor valuations. Product and...
Cover of Geometry of Classical Fields
by Ernst Binz, Jedrzej Sniatycki
Language: English
Release Date: November 30, 2011

A canonical quantization approach to classical field theory, this text is suitable for mathematicians interested in theoretical physics as well as to theoretical physicists who use differential geometric methods in their modelling. Introduces differential geometry, the theory of Lie groups, and progresses...
Cover of Pluripotential Theory

Pluripotential Theory

Cetraro, Italy 2011, Editors: Filippo Bracci, John Erik Fornæss

by Giorgio Patrizio, Zbigniew Błocki, Francois Berteloot
Language: English
Release Date: May 16, 2013

Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Ampére equations, applications of pluripotential...
Cover of Radon Transforms and the Rigidity of the Grassmannians (AM-156)
by Jacques Gasqui, Hubert Goldschmidt
Language: English
Release Date: January 10, 2009

This book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry. Its primary focus is the spectral rigidity problem: Can the metric of a given...
Cover of Stochastic Geometry, Spatial Statistics and Random Fields
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Language: English
Release Date: February 11, 2013

This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields)...
Cover of Topological Crystallography

Topological Crystallography

With a View Towards Discrete Geometric Analysis

by Toshikazu Sunada
Language: English
Release Date: December 23, 2012

Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid’s Elements. Since then, geometry has taken its own path...
Cover of Analytic, Algebraic and Geometric Aspects of Differential Equations
by
Language: English
Release Date: June 23, 2017

This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate...
Cover of Hermitian Analysis

Hermitian Analysis

From Fourier Series to Cauchy-Riemann Geometry

by John P. D'Angelo
Language: English
Release Date: September 24, 2013

​​Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry provides a coherent, integrated look at various topics from undergraduate analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the real line, and then turns to the heart of...
Cover of Geometric Analysis Around Scalar Curvatures
by Fei Han, Xingwang Xu, Weiping Zhang
Language: English
Release Date: April 18, 2016

This volume contains three expanded lecture notes from the program Scalar Curvature in Manifold Topology and Conformal Geometry that was held at the Institute for Mathematical Sciences from 1 November to 31 December 2014. The first chapter surveys the recent developments on the fourth-order equations...
Cover of Fractals Everywhere

Fractals Everywhere

New Edition

by Michael F. Barnsley
Language: English
Release Date: October 3, 2013

"Difficult concepts are introduced in a clear fashion with excellent diagrams and graphs." — Alan E. Wessel, Santa Clara University"The style of writing is technically excellent, informative, and entertaining." — Robert McCartyThis new edition of a highly successful text constitutes one of the...
Cover of Mumford-Tate Groups and Domains

Mumford-Tate Groups and Domains

Their Geometry and Arithmetic (AM-183)

by Mark Green, Phillip A. Griffiths, Matt Kerr
Language: English
Release Date: April 22, 2012

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results,...
Cover of Handbook of the Geometry of Banach Spaces
by W.B. Johnson, J. Lindenstrauss
Language: English
Release Date: May 6, 2003

Handbook of the Geometry of Banach Spaces
Cover of Complex Geometry and Dynamics

Complex Geometry and Dynamics

The Abel Symposium 2013

by
Language: English
Release Date: November 5, 2015

This book focuses on complex geometry and covers highly active topics centered around geometric problems in several complex variables and complex dynamics, written by some of the world’s leading experts in their respective fields. This book features research and expository contributions from...
Cover of Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

Topics from Differential Geometry and Geometric Analysis of Surfaces

by Steffen Fröhlich
Language: English
Release Date: June 30, 2012

This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten...
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