Geometric Algebra

by Emil Artin

This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner."
Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.

Genres: Mathematics

228 pages, Kindle Edition

First published January 1, 1957

Reviews

[Chris · Rating 3 out of 5]

Geometry without pictures- clear but very dry.

[Gregory · Rating 5 out of 5]

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.