Geometric Algebra by Emil Artin

Geometric Algebra

Emil Artin

Dover Publications · Print & ebook · January 14, 2016

A Mathematics pick for readers exploring Geometric Algebra.

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Who it’s for
Artin’s overview moves from algebraic theorems to geometric spaces and the structure of related groups.
Themes
Geometric algebra, Affine and projective geometry, Symplectic and orthogonal geometry
Genres
Algebraic Geometry, Abstract Algebra, Geometry

About this book

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.

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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.

Geometric Structures

Artin’s overview moves from algebraic theorems to geometric spaces and the structure of related groups.

Come here for

  • Affine and projective geometry
  • Symplectic and orthogonal geometry

Expect

  • Coverage of the general linear group
  • A bibliography and index

Where it sits

Algebraic Geometry86%
Abstract Algebra28%
Geometry26%

Percentages are BookFrontier’s reading of the book.

Publisher categories

  • Linear Algebra
  • Algebraic Geometry
Authors
Emil Artin
Publisher
Dover Publications
Published
January 14, 2016
Format
Print & ebook
Theme
Geometric algebra · Affine and projective geometry · Symplectic and orthogonal geometry
Reading lane
Linear Algebra