# Algebraic geometry

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## Definition of the noun Algebraic geometry

What does Algebraic geometry mean as a name of something?

**noun**

- [
*mathematics*] a branch of mathematics that studies solutions of systems of algebraic equations using both algebra and geometry.

## Writings

- "
**Algebraic geometry**" is a*book*by Solomon Lefschetz. - "
**Algebraic geometry**" is a*book*by Andrew John Sommese.- also known as "Algebraic geometry: proceedings of the international conference held in L'Aquila, Italy, May 30-June 4, 1988"

- "
**Algebraic geometry**" is a*book*by Shigeru Iitaka.- also known as "Algebraic geometry: an introduction to the birational geometry of algebraic varieties"

## Miscellanea

**Algebraic geometry** is a branch of mathematics, classically studying zeros of polynomial equations. Modern algebraic geometry is based on more abstract techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry.

- also known as 代数几何

## Printed dictionaries and other books with definitions for Algebraic geometry

Click on a title to look inside that book (if available):

### Non-Binary Error Control Coding for Wireless Communication and Data Storage (2008)

by Rolando Antonio Carrasco, Martin Johnston

Introduction * Algebraic geometry is a powerful mathematical tool for
constructing very long nonbinary block codes with excellent parameters, such as
high code rate and large Hamming distance*. In 1981, Goppa showed how
algebraic ...

### Mathematical Thought From Ancient to Modern Times (1990)

by Morris Kline

* The term algebraic geometry is an unfortunate one because originally it referred
to all the work from the time of Fermat and Descartes in which algebra had been
applied to geometry; in the latter part of the nineteenth century it was applied to* ...

### Abstract Algebra (2015)

Structures and Applications by Stephen Lovett

* Algebraic geometry is a vast field of mathematics*. Consequently, just as with
some of the other “brief introduction” sections in this book, this section only
intends to whet the reader's appetite with a few introductory concepts. The
literature offers ...

### Monomial Ideals, Computations and Applications (2013)

by Anna Maria Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón

One of the main points related to monomial ideals in commutative algebra and
* algebraic geometry is that some problems on general polynomial ideals can be
reduced to the special case of monomial ideals through the theory of Gr ̈obner* ...

### Interactions of Classical and Numerical Algebraic Geometry (2009)

A Conference in Honor of Andrew Sommese : Interactions of Classical and Numerical Algebraic Geometry, May 22-24, 2008, University of Notre Dame, Notre Dame, Indiana by Daniel James Bates

* Algebraic geometry is a classical discipline which for many years sat at
the intersection of algebra, number theory, several complex variables, and
geometry in all its incarnations*. The advent of personal computing, and more so
the ...

### Dictionary of Scientific Terms (1869)

by P. Austin Nuttall

— * Algebraic geometry is a name given to the application of algebra to
geometrical problems*. — Algebraic curve is a figure whose intercepted diameters
...

### CRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

Ideals, Varieties, and
Algorithms: **An Introduction to Algebraic Geometry** and Commutative Algebra,
2nd ed. New York: SpringerVerlag, 1996. Eisenbud, D. Commutative Algebra
with a View ...

### Encyclopedic Dictionary of Mathematics (1993)

by Kiyosi Itô

**Algebraic Geometry** We usually assume that the coordinates of each point of the
variety belong to a certain fixed *field K. In the classical case, namely, when the
field K is the field C of complex numbers, the algebraic varieties are considered ...

### Encyclopaedia of Mathematics (set) (1994)

by Michiel Hazewinkel

Basic **algebraic geometry**, Springer, 1977 (
translated ...

### Encyclopaedia of Mathematics, Supplement III (2001)

by Michiel Hazewinkel

**Algebraic Geometry** (Bowdoin, 1985), Vol. 46:2 of Proc. Symp. Pure Math.,
Amer.

### Encyclopedia of Analytical Surfaces (2015)

by Sergey Krivoshapko, V.N. Ivanov

Introduction **to Algebraic Geometry**. 2000; 442
p.

### A dictionary of science, literature and art, ed. by W.T. Brande assisted by J. Cauvin. ed. by W.T. Brande and G.W. Cox.3 vols (1865)

by William Thomas Brande

**Algebraic Geometry**. The application of algebra to geometrical investigations.
Tho miscalled analytical geometry, whose founder was Descartes, and the
characteristic feature of which is the determination of a point by means of
coordinates, ...

## Online dictionaries and encyclopedias with entries for Algebraic geometry

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## Photo about Algebraic geometry

**Algebraic Geometry: Tropical, Convex, and Applied**

MAA President Paul Zorn and Bernd Sturmfels, University of California, Berkeley.

Sturmfels presented the three-part Earle Raymond Hedrick Lecture Series at MAA MathFest 2012.

Photo credit: Mathematical Association of America

## Video about Algebraic geometry

**Algebraic geometry Meaning**

Video shows what algebraic geometry means. a branch of mathematics that studies solutions of systems of algebraic equations using both algebra and ...

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