By Shlomo Sternberg

This unique Dover textbook relies on a sophisticated undergraduate course taught by means of the writer for greater than 50 years. It introduces semi-Riemannian geometry and its important actual program, Einstein's idea of basic relativity, utilizing the Cartan external calculus as a significant software. necessities include linear algebra and complex calculus. 2012 edition.

**Read Online or Download Curvature in Mathematics and Physics (Dover Books on Mathematics) PDF**

**Similar geometry books**

**Geometry of Complex Numbers (Dover Books on Mathematics)**

Illuminating, extensively praised e-book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries. "This ebook may be in each library, and each professional in classical functionality thought will be conversant in this fabric. the writer has played a different provider by way of making this fabric so with ease available in one booklet.

**Geometric Tomography (Encyclopedia of Mathematics and its Applications)**

Geometric tomography bargains with the retrieval of data a few geometric item from info referring to its projections (shadows) on planes or cross-sections through planes. it's a geometric relative of automated tomography, which reconstructs a picture from X-rays of a human sufferer. the topic overlaps with convex geometry and employs many instruments from that quarter, together with a few formulation from vital geometry.

Differential geometry arguably deals the smoothest transition from the traditional collage arithmetic series of the 1st 4 semesters in calculus, linear algebra, and differential equations to the better degrees of abstraction and evidence encountered on the higher department by way of arithmetic majors. at the present time it's attainable to explain differential geometry as "the research of constructions at the tangent space," and this article develops this viewpoint.

- Algebraic Geometry and its Applications: Collections of Papers from Shreeram S. Abhyankar’s 60th Birthday Conference
- Young Tableaux - With Applns to Rep. Theory, Geometry [no pp. 46-47]
- Complex Manifolds and Hyperbolic Geometry: II Iberoamerican Congress on Geometry, January 4-9, 2001, Cimat, Guanajuato, Mexico
- Monge Ampere Equation: Applications to Geometry and Optimization : Nsf-cbms Conference on the Monge Ampere Equation, Applications to Geometry and Optimization, July 9-13, 19

**Additional resources for Curvature in Mathematics and Physics (Dover Books on Mathematics)**

**Sample text**

41 Similarly, Savilian astronomy professors were to give due attention to classical texts; they were, for example, required to teach Ptolemy’s Almagest. So when Henry Aldrich, Dean of Christ Church College Oxford, persuaded the newly elected Savilian professor of geometry, namely, Halley, to work with David Gregory on an edition of Apollonius, he was not only acting out of a keen interest in mathematics—Aldrich was a deeply interested and well-informed reader of mathematics, especially of classical mathematics42—but also out of an understanding of the requirements of Halley’s position.

And one could even accept this identity as a historian without denying Halley’s identity as a mathematician. For, certainly, while his reconstruction demanded a considerable degree of mathematical ingenuity, such as one might expect from the new Savilian professor of geometry, one need not assume the reconstruction was only a pretense for Halley to exhibit his mathematical prowess or to explore new mathematical themes, Apollonian or not, that might flow from Conics, Book VII. Yet the fact remains that Halley did come to the project as a mathematician and scientist and did so willingly, as I have already stressed.

My own parenthetical remarks, additions, and clarifications are contained by square parentheses. There are two deviations from this. ” In the text itself this appears thus: “Propositio I. ” (2) I have included the original Latin word or phrase in rounded parentheses where it seemed to me that the English translation did not catch entirely the nuances of Halley’s Latin. As for the diagrams, except for the extra smoothness and straightness one can achieve with modern technology, the diagrams below were meant to be entirely faithful to those in the 1710 edition.