Product Description

Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity, in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein field equation, as well as many modern cosmological subjects, from primordial inflation and cosmic microwave anisotropy to the dark energy that propels an accelerating universe. The author presents the subject with an emphasis on physical examples and simple applications without the full tensor apparatus. The reader first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury's perihelion, black holes, and cosmology. The full tensor formulation is presented later, when the Einstein equation is solved for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation, cosmic microwave anisotropy to the "dark energy" that propels an accelerating universe. Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity and cosmology on their own.

Product Details

• Amazon Sales Rank: #147608 in Books
• Published on: 2009-11-05
• Original language: English
• Number of items: 1
• Binding: Paperback
• 400 pages

About the Author
Ta-Pei Cheng is Professor of Physics at the University of Missouri - St. Louis, USA.

Customer Reviews

Excellent Material to begin with and test yourself.
I'm a second year astrophysics student from Ireland.
Recently I've tried to learn the Mathematics of General Relativity in detail, outside of my course and have bought numerous books in the process.

In my opinion this book and "A First Course in General Relativity by Bernard F. Schutz" are perfect complementary texts to learn the main basis of General Relativity on your own.

The author has provided an unbelievable amount of questions and not a single one of them is pointless exercise.

The book is Divided into three sections:

Part 1: Metric description of Space-Time
Very well written intro to General Relativity which delves into Black Holes and Mercury's Orbit, without the full on Field Equation and Tensors.

Part 2: Cosmology
Still keeping to the metric description of space-time, cosmology is introduced. The mathematics of concepts like the closed and open universes are explained really well.

Part 3: Full Tensor Formulism
I was able to learn Tensors from this, using Chapter 3 from Schutz's book as a companion.

The questions at the end of each chapter really test your knowledge and after reading this you will be able to manipulate the field equation for simple cases and move onto more advanced books if you wish.