Geometry

Contents: Preface. 1. Basic Geometry Concepts. 2. Algebraic Geometry. 3. Finite Geometry. 4. Solid Geometry. 5. Cartesian Coordinates. 6. Conic Section. 7. Geometry of the Sphere. 8. 3-D Geometry. Bibliography. Index.

Geometry is a significant branch, concerned with questions of size, shape, relative position of figures and the properties of space. Geometry is one of the oldest science. Initially a body of practical knowledge, concerning lengths, areas and volumes. In the 3rd century BC 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. A mathematician, who works is the field of geometry is called a geometer. The introduction of coordinates by Rene Descartes and the concurrent development of algebra marked a new stage for geometry, since geometric figures, such as plane curves, could now be represented analytically, i.e., with functions and equations. This played a key role in the emergence of calculus in the 17th century.

Present book covers all dimensions of the subject, particularly aimed at the students, who intend to master in this field of Mathematics. This book is an asset for all scholars, researchers and students. (Jacket)