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Geometry is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the third century B.C., geometry was put into an axiomatic form by Euclid, whose treatment - Euclidean geometry - set a standard for many centuries to follow. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere, served as an important source of geometric problems during the next one and a half millennia.

Related tags: theory, algebra, mathematics, algebraic, differential, introduction, complex, physics, spaces, computational

Books: Introduction to Geometry
Coxeter H.S.M., 1969

Introduction to Geometry

This unabridged paperback edition contains complete coverage, ranging from topics in the Euclidean plane to affine geometry, projective geometry, differential geometry and topology.

Books: Elements of Noncommutative Geometry
Gracia-Bondia J.M., Varilly J.C., Figueroa H., 2000

Elements of Noncommutative Geometry

The subject of this text is an algebraic and operatorial reworking of geometry, which traces its roots to quantum physics; Connes has shown that noncommutative geometry keeps all essential features of…

Books: Modern Geometry with Applications
Jennings G.A., 1994

Modern Geometry with Applications

This is an introduction to the theory and applications of modern geometry. It differs from other books in its field in its emphasis on applications and its discussion of Special Relativity as a major …

Books: Complex Hyperbolic Geometry
Goldman W.M., 1998

Complex Hyperbolic Geometry

This is the first comprehensive treatment of the geometry of complex hyperbolic space, a rich area of research with numerous connections to other branches of mathematics, including Riemannian geometry…

Books: Combinatorial convexity and algebraic geometry
Ewald G., 1996

Combinatorial convexity and algebraic geometry

This text provides an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry and to the fascinating connections between these fields: the theory of toric varieties (…

Books: Birational geometry of algebraic varieties
Kollar J., Mori S., 1998

Birational geometry of algebraic varieties

One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This gen…
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