Analytical Geometry of Three Dimensions

Originally published in 1934, this book starts at the subject's beginning, but also engages with profoundly more specialist concepts in the field of geometry.

D. M. Y. Sommerville (Author)

9781316601907, Cambridge University Press

Paperback / softback, published 25 February 2016

434 pages
2.4 x 13.3 x 2.7 cm, 0.5 kg

Originally published in 1934, this informative textbook was written by renowned mathematician and astronomer Duncan Sommerville (1879–1934). Primarily aimed at undergraduates, the book carefully starts from the very beginning of the subject, but also engages with concepts which are considered profoundly more specialist in the field of geometry. Following on from a renewed and flourishing interest in geometry at the time, this textbook was 'written more in accordance with the tendencies of the present', placing a different emphasis on the subject's cornerstone principles and illuminating new developments in the field. Chapters are detailed and contain material often required for examinations; topics covered include the Cartesian coordinate system and tangential equations. Well planned, with a scholarly treatment of the subject and capturing a unified knowledge of geometry, this book will be a considerably valuable source to scholars of mathematics as well as to anyone with an interest in the history of education.

Preface
1. Cartesian coordinate-system
2. The straight line and plane
3. General homogeneous or projective coordinates
4. The sphere
5. The cone and cylinder
6. Types of surfaces of the second order
7. Elementary properties of quadric surfaces derived from their simplest equations
8. The reduction of the general equation of the second degree
9. Generating lines and parametric representation
10. Plane sections of a quadric
11. Tangential equations
12. Foci and focal properties
13. Linear systems of quadrics
14. Curves and developables
15. Invariants of a pair of quadrics
16. Line geometry
17. Algebraic surfaces
Index.

Subject Areas: History of mathematics [PBX]