A thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. It makes extensive use of determinants, but no previous knowledge is assumed; they are introduced from the beginning as a natural tool for coordinate geometry. Invariants of conic sections and quadric surfaces receive full treatments. Algebraic equations on the first degree in two and three unknowns are carefully reviewed and carried farther than is usual in algebra courses. Throughout the book, results are formulated precisely, with clearly stated theorems. More than 500 helpful exercises throughout the text incorporate - often in rather novel settings - each idea after its full and careful explanation. 1939 edition.
By:
Luther Pfahler Eisenhart Imprint: Dover Country of Publication: United States Dimensions:
Height: 215mm,
Width: 137mm,
Spine: 18mm
Weight: 333g ISBN:9780486442617 ISBN 10: 0486442616 Series:Dover Books on Mathema 1.4tics Pages: 298 Publication Date:04 March 2005 Audience:
General/trade
,
ELT Advanced
Format:Paperback Publisher's Status: Unspecified
Introduction 1. Points and Lines in the Plane 2. Lines and Planes in Space. Determinants 3. Transformations of Coordinates 4. The Conics. Locus Problems 5. The Quadric Surfaces Appendix Index