# [PDF] Handbook of Differential Geometry

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## Handbook of Differential Geometry Product Detail:

- Author : Franki J.E. Dillen
- Publisher : Elsevier
- Release : 29 November 2005
- ISBN : 0080461204
- Page : 574 pages
- Rating : 4.5/5 from 103 voters

## Handbook of Differential Geometry Book Summary/Review:

In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics

### Handbook of Differential Geometry

- Author : Franki J.E. Dillen,Leopold C.A. Verstraelen
- Publisher : Elsevier
- Release Date : 2005-11-29
- ISBN : 0080461204

In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is

### Handbook of Differential Geometry

- Author : F.J.E. Dillen,L.C.A. Verstraelen
- Publisher : Elsevier
- Release Date : 1999-12-16
- ISBN : 0080532837

In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.

### Handbook of Differential Geometry

- Author : Anonim
- Publisher : Unknown
- Release Date : 2000
- ISBN : 0444822402

### Handbook of Mathematics for Engineers and Scientists

- Author : Andrei D. Polyanin,Alexander V. Manzhirov
- Publisher : CRC Press
- Release Date : 2006-11-27
- ISBN : 9781420010510

The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible. Organized in ascending order of complexity, the material is divided into two parts. The first part

### Handbook of Geometric Analysis

- Author : Lizhen Ji,Peter Li,Richard Schoen,Leon Simon
- Publisher : International Pressof Boston Incorporated
- Release Date : 2008
- ISBN : 1571461302

Geometric Analysis combines differential equations with differential geometry. An important aspect of geometric analysis is to approach geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Amperè equation. Applications to geometric problems have also motivated new methods and techniques in differential equations. The field of geometric analysis is broad and has had many striking applications.This handbook

### Global Differential Geometry

- Author : Christian Bär,Joachim Lohkamp,Matthias Schwarz
- Publisher : Springer Science & Business Media
- Release Date : 2011-12-18
- ISBN : 9783642228421

This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.

### Projective Differential Geometry Old and New

- Author : V. Ovsienko,S. Tabachnikov
- Publisher : Cambridge University Press
- Release Date : 2004-12-13
- ISBN : 1139455915

Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. The authors' main goal in this 2005 book is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics. They also give results and proofs of classic theorems. Exercises play a prominent role: historical and cultural comments set the basic notions in a broader context. The book opens by discussing the Schwarzian derivative and its connection to the Virasoro algebra. One-dimensional projective differential geometry features

### Topics in Modern Differential Geometry

- Author : Stefan Haesen,Leopold Verstraelen
- Publisher : Springer
- Release Date : 2016-12-21
- ISBN : 9789462392403

A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature. Experts in the fields of Riemannian, Lorentzian and contact geometry present state-of-the-art reviews of their topics. The contributions are written on a graduate level and contain extended bibliographies. The ten chapters are the result of various doctoral courses which were held in 2009 and 2010 at universities in Leuven, Serbia, Romania and Spain.

### Riemannian Geometry During the Second Half of the Twentieth Century

- Author : Marcel Berger
- Publisher : American Mathematical Soc.
- Release Date : 2000
- ISBN : 9780821820520

In this book, Berger provides a survey of the main developments in Riemannian geometry in the last fifty years, focusing his main attention on the following five areas: Curvature and topology; the construction of and the classification of space forms; distinguished metrics, especially Einstein metrics; eigenvalues and eigenfunctions of the Laplacian; the study of periodic geodesics and the geodesic flow. Other topics are treated in less detail in a separate section.

### Differential Geometry and Mathematical Physics

- Author : Gerd Rudolph,Matthias Schmidt
- Publisher : Springer Science & Business Media
- Release Date : 2012-11-09
- ISBN : 9789400753457

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item

### Handbook of Computer Aided Geometric Design

- Author : G. Farin,J. Hoschek,M.-S. Kim
- Publisher : Elsevier
- Release Date : 2002-08-13
- ISBN : 9780444511041

This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well

### Recent Advances in the Geometry of Submanifolds

- Author : Bogdan D. Suceavă,Alfonso Carriazo,Yun Myung Oh,Joeri Van der Veken
- Publisher : American Mathematical Soc.
- Release Date : 2016-09-14
- ISBN : 9781470422981

This volume contains the proceedings of the AMS Special Session on Geometry of Submanifolds, held from October 25–26, 2014, at San Francisco State University, San Francisco, CA, and the AMS Special Session on Recent Advances in the Geometry of Submanifolds: Dedicated to the Memory of Franki Dillen (1963–2013), held from March 14–15, 2015, at Michigan State University, East Lansing, Ml. The focus of the volume is on recent studies of submanifolds of Riemannian, semi-Riemannian, Kaehlerian and contact manifolds. Some of these use techniques in classical

### CRC Concise Encyclopedia of Mathematics

- Author : Eric W. Weisstein
- Publisher : CRC Press
- Release Date : 2002-12-12
- ISBN : 9781420035223

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

### Minimal Submanifolds in Pseudo-Riemannian Geometry

- Author : Henri Anciaux
- Publisher : World Scientific
- Release Date : 2011
- ISBN : 9789814291248

Since the foundational work of Lagrange on the differential equation to be satisfied by a minimal surface of the Euclidean space, the theory of minimal submanifolds have undergone considerable developments, involving techniques from related areas, such as the analysis of partial differential equations and complex analysis. On the other hand, the relativity theory has led to the study of pseudo-Riemannian manifolds, which turns out to be the most general framework for the study of minimal submanifolds. However, most of the

### Guide to Information Sources in Mathematics and Statistics

- Author : Martha A. Tucker,Nancy D. Anderson
- Publisher : Libraries Unlimited
- Release Date : 2004
- ISBN : 9781563087011

Publisher description: This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These resources are grouped by material type. Publication dates range from the 1800's onwards. Hundreds of electronic