Geometric Algebra

by Emil Artin

This classic text, written by one of the foremost mathematicians of the 20th century, is now available in a low-priced paperback edition. Exposition is centered on the foundations of affine geometry, the geometry of quadratic forms, and the structure of the general linear group. Context is broadened by the inclusion of projective and symplectic geometry and the structure of symplectic and orthogonal groups.

Genres: Mathematics

224 pages, Hardcover

First published January 1, 1957

Reviews

[Chris]

Geometry without pictures- clear but very dry.

[Gregory]

Somewhere in between a causal read and a textbook. I made it through the first half or so of the book, but lost steam when digging into the orthogonal and symplectic geometries. The ideas and presentation up to this point suffice the 5 stars. The presentation of what a geometry is given by axioms and using dilations was quite eye opening. Would need a handful more reads to fully digest that, especially when applying to projective geometry. A warning though - if you feel you don’t have a good grasp on projective geometry, you will not get that grasp from this book (at least I didn’t). But, you may leave with a better idea of how to pursue that grasp. Finally, this review was written maybe two months after putting the book down.