# The algebraic and geometric theory of quadratic forms.

9780821843291The algebraic

**1.**(language)

**ALGEBRAIC**- An early system on MIT's Whirlwind.

[CACM 2(5):16 (May 1959)].

**2.**(theory)

**algebraic**- In domain theory, a complete partial order is algebraic if every element is the least upper bound of some chain of compact elements. and geometric theory of quadratic forms.

Elman, Richard et al.

American Mathematical Society The

**American Mathematical Society (AMS)**is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards to mathematicians.

2008

435 pages

$79.00

Hardcover

Colloquium col·lo·qui·um

*n.*

*pl.*

**col·lo·qui·ums**or

**col·lo·qui·a**

**1.**An informal meeting for the exchange of views.

**2.**An academic seminar on a broad field of study, usually led by a different lecturer at each meeting. publications; v.56

QA243

This study of the algebraic theory of quadratic forms includes results and proofs that have never been published. The book is written from the point of view of algebraic geometry algebraic geometry, branch of geometry, based on analytic geometry, that is concerned with geometric objects (loci) defined by algebraic relations among their coordinates (see Cartesian coordinates). and includes coverage of the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic-independent whenever possible. For some results, both classical and geometric proofs are given. Part I covers classical algebraic theory of quadratic quadratic, mathematical expression of the second degree in one or more unknowns (see polynomial). The general quadratic in one unknown has the form

*ax*

^{2}+

*bx*+

*c,*where

*a, b,*and

*c*are constants and

*x*is the variable. and bilinear forms and answers many questions that have been raised in the early stages of the development of the theory. Assuming only a basic course in algebraic geometry, Part II presents additional topics from algebraic geometry, including the theory of Chow groups, Chow motives, and Steenrod operations. These topics are used in Part III to develop a geometric theory of quadratic forms. Author information is not given.

([c]20082005 Book News, Inc., Portland, OR)

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Publication: | SciTech Book News |
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Article Type: | Book review |

Date: | Dec 1, 2008 |

Words: | 171 |

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