Analytical and Numerical Approaches to Mathematical Relativity (Lecture Notes in Physics) [Hardcover]

Jörg Frauendiener (Editor), Domenico J. W. Giulini (Editor), Volker Perlick (Editor), Roger Penrose (Foreword)

Book Description

Series: Lecture Notes in Physics | Publication Date: April 11, 2006

General relativity ranks among the most accurately tested fundamental theories in all of physics. Deficiencies in mathematical and conceptual understanding still exist, hampering further progress. This book collects surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods.

Editorial Reviews

Review

From the reviews: "The 319th Wilhelm-and-Else-Heraeus Seminar ‘Mathematical Relativity: New Ideas and Developments’ took place in March 2004. Twelve of the invited speakers have expanded their one hour talks into the papers appearing in this volume … . volume contains a wealth of diverse, fascinating material which needs to be perused by research students and others new to this field. Many will wish to buy it, but even if you do not, make sure your institution’s library purchases a copy!" (John M Stewart, Classical and Quantum Gravity, Issue 24, 2007)

From the Back Cover

Today, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view that a theory-based prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake serious investigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of  the following mathematical areas:  differential geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students and specialist researchers alike.

Product Details

• Hardcover: 296 pages
• Publisher: Springer; 1 edition (April 11, 2006)
• Language: English
• ISBN-10: 3540310274
• ISBN-13: 978-3540310273
• Product Dimensions: 9.4 x 6.3 x 0.9 inches
• Shipping Weight: 1.2 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #5,274,952 in Books (See Top 100 in Books)