SmartSellTM - The New Way to Sell Online

Shop over a million Toys in our Huge New Range

Spacetime, Geometry and Gravitation
By

Rating
This is an introductory book on the general theory of relativity based partly on lectures given to students of M.Sc. Physics at my university. The book is divided into three parts. The ?rst part is a preliminary course on general relativity with minimum preparation. The second part builds the ma- ematical background and the third part deals with topics where mathematics developed in the second part is needed. The ?rst chapter gives a general background and introduction. This is f- lowed by an introduction to curvature through Gauss' Theorema Egregium. This theorem expresses the curvature of a two-dimensional surface in terms of intrinsic quantitiesrelatedtothein?nitesimaldistancefunctiononthesurface.Thestudent isintroducedtothemetrictensor,Christo?elsymbolsandRiemanncurvaturet- sor by elementary methods in the familiar and visualizable case of two dimensions. This early introduction to geometric quantities equips a student to learn simpler topics in general relativity like the Newtonian limit, red shift, the Schwarzschild solution, precession of the perihelion and bending of light in a gravitational ?eld. Part II (chapters 5 to 10) is an introduction to Riemannian geometry as - quired by general relativity. This is done from the beginning, starting with vectors and tensors. I believe that students of physics grasp physical concepts better if they are not shaky about the mathematics involved.
Product Details

Spacetime.- What is Curvature?.- General Relativity Basics.- Spherically Symmetric Gravitational Field.- Geometry.- Vectors and Tensors.- Inner Product.- Elementary Differential Geometry.- Connection and Curvature.- Riemannian Geometry.- Additional Topics in Geometry.- Gravitation.- The Einstein Equation.- General Features of Spacetime.- Weak Gravitational Fields.- Schwarzschild and Kerr Solutions.- Cosmology.- Special Topics.

#### Promotional Information

"This book meets my teaching needs, as it presents a very solid foundation for students who seek a comprehensive introduction into the difficult field of the general theory of relativity. The mathematical background is treated in a rigorous and nevertheless understandable style. Those readers who are novices in the field will welcome the fact that the author provides an abundance of carefully selected exercises together with their solutions. In summary, I will recommend this valuable textbook to my students and use it as the main text for my lectures." - Prof. Dr. P. Wirtz, Faculty of Computer Science and Mathematics, Hochschule Hegensburg, Germany

#### Reviews

From the reviews: "The book is structured into three parts. The first part ! offers preliminary topics on general relativity. ! The second part is a comprehensive and accurate incursion in the mathematical background of relativity theory. ! The last part, entitled Gravitation, contains six chapters dealing with the Einstein equation ! cosmology and special topics. Interesting exercises with complete answers simplify the understanding of the presented material. The textbook is recommended to advanced graduates and researchers." (Ferenc Szenkovits, Studia Universitatis Babes-Bolyai, Mathematica, Vol. LV (4), December, 2010) "This book provides the reader with a very gentle introduction to the main ideas and concepts of general relativity. This work is particularly suitable for students who are interested in general relativity or are beginning to study this subject. Moreover, the author presents the reader with a number of problems and provides worked-out solutions, which will surely help the reader to obtain a deeper of interest to students who seek a smooth introduction to general relativity." (Guglielmo Fucci, Mathematical Reviews, Issue 2011 m)

Look for similar items by category
People also searched for
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 5% commission by selling Spacetime, Geometry and Gravitation (Progress in Mathematical Physics) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond World Ltd.