Analytic Geometry
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Analytic geometry, also known as coordinate geometry, analytical geometry, or Cartesian geometry, is the study of geometry using a coordinate system and the principles of algebra and analysis. This contrasts with the synthetic approach of Euclidean geometry, which treats certain geometric notions as primitive, and uses deductive reasoning based on axioms and theorems to derive truth. Analytic geometry is the foundation of most modern fields of geometry, including algebraic geometry, differential geometry, and discrete and computational geometry, and is widely used in physics and engineering. Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and squares, often in two and sometimes in three dimensions of measurement. Geometrically, one studies the Euclidean plane (2 dimensions) and Euclidean space (3 dimensions). As taught in school books, analytic geometry can be explained more simply: it is concerned with defining geometrical shapes in a numerical way and extracting numerical information from that representation. The numerical output, however, might also be a vector or a shape.
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- Allgemeine Informationen
- GTIN 09786130299736
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Größe H220mm x B150mm x T10mm
- Jahr 2010
- EAN 9786130299736
- Format Fachbuch
- ISBN 978-613-0-29973-6
- Titel Analytic Geometry
- Untertitel Coordinate system, Algebraic geometry, Geometry, Algebra, Analysis, Synthetic geometry, Euclidean geometry, Axiom, Theorem, Differential geometry, Computational geometry, Physics, Engineering
- Gewicht 255g
- Herausgeber Alphascript Publishing
- Anzahl Seiten 160
- Genre Mathematik
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