Today I would like to review something a little bit more serious. This is a book by Shlomo Zvi Sternebrg called “Curvature in Mathematics and Physics”. As you might have already guessed, it’s a textbook which mostly deals with semi-Riemannian geometry and its applications. It’s a very interesting yet complex field of mathematics, however I think Sternberg did a great job of explaining the mathematical concepts as simply as it is possible.
Author: Shlomo Sternberg
Publisher: Dover Publications (2012)
Kindle edition: (n/a)
Reviews: customer reviews
|Rating: ★★★★★||Ranking: 23,474
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Shlomo Zvi Sternberg is one of the leading mathematicians, mostly known for his work in geometry, particularly symplectic geometry and the differential geometry of G-structures. Sternberg earned his Ph.D. in 1957 from Johns Hopkins University, where he wrote a dissertation on transformations under Aurel Wintner. Sternberg has written several textbooks for undergraduate students as well as a number of monographs. For more books go here.
This original textbook is based on an advanced undergraduate course taught by the author for more than 50 years. It introduces semi-Riemannian geometry and its principal physical application, Einstein’s theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus.
So as you might guess this book is quite technical thus I would recommend it mostly for physics/math students. Despite this, the book is one of the most readable books on this subjects, making it a great choice for those looking for an introduction of the subject.
Also, since I get this question a lot, if you are look for more books for learning the basics of general and special relativity check out these links: books for learning physics and math & General Relativity and Cosmology by Tai L. Chow
Category: Math Books