algebraic geometry

Hello, you have come here looking for the meaning of the word algebraic geometry. In DICTIOUS you will not only get to know all the dictionary meanings for the word algebraic geometry, but we will also tell you about its etymology, its characteristics and you will know how to say algebraic geometry in singular and plural. Everything you need to know about the word algebraic geometry you have here. The definition of the word algebraic geometry will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofalgebraic geometry, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.

English

English Wikipedia has an article on:
Wikipedia

Noun

algebraic geometry (countable and uncountable, plural algebraic geometries)

  1. (mathematics) A branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry.
    • 1977, Robin Hartshorne, Algebraic Geometry, Springer, Softcover Reprint, 1977, page xiii,
      The author of an introductory book on algebraic geometry has the difficult task of providing geometrical insight and examples, while at the same time developing the modern technical language of the subject. For in algebraic geometry, a great gap appears to separate the intuitive ideas which form the point of departure from the technical methods used in modern research.
      The first question is that of language. Algebraic geometry has developed in waves, each with its own language and point of view.
    • 2003, Ian F. Blake, Curves with Many Points and Their Applications, Marc Fossorier, Hideki Imai, Shu Lin, Alain Poli (editors), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 13th International Symposium, Proceedings, Springer, LNCS 1719, page 55,
      The use of curves in algebraic geometries, in applications such as coding and cryptography, now has an extensive literature and has been responsible for dramatic developments in both subjects.
    • 2013, Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves, An Invitation to Algebraic Geometry, Springer, page 1:
      For example, every high school mathematics student has studied a bit of algebraic geometry, in learning the basic properties of conic sections, such as parabolas and hyperbolas.

Derived terms

Translations

See also

Further reading

Wikious
Boobota
Sagapedia