Geometric Algebra

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.

One of the 20th century's most prominent mathematicians, Emil Artin (1898–1962) emigrated to the United States from Austria in 1936 and taught at Notre Dame, Indiana University, and Princeton before returning to Europe in the late 1950s. He wrote several books, including the Dover publications Galois Theory and The Gamma Function.

PrefaceSuggestions for the Use of This BookI. Preliminary NotionsII. Affine and Projective GeometryIII. Symplectic and Orthogonal GeometryIV. The General Linear GroupV. The Structure of Symplectic and Orthogonal GroupsBibliographyIndex