| A Modern View of Geometry Contributor(s): Blumenthal, Leonard M. (Author) |
|
 |
ISBN: 0486639622 ISBN-13: 9780486639628 Publisher: Dover Publications OUR PRICE: $13.46 Product Type: Paperback Published: April 2017 Annotation: Elegant exposition of the postulation geometry of planes, including coordination of affine and projective planes. Historical background, set theory, propositional calculus, affine planes with Desargues and Pappus properties, construction of metrical planes, much more. Rigorous, lucid treatment of important area in modern mathematics. Corrected republication of the 3rd (1961) edition. Includes 56 figures. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General |
| Dewey: 516 |
| LCCN: 79056332 |
| Series: Dover Books on Mathematics |
| Physical Information: 0.44" H x 5.63" W x 8.24" (0.52 lbs) 208 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: "On the required reading list for all thoughtful students who wish to see mathematics from the 'higher standpoint.' " -- American Mathematical Monthly Elegant and original, this exposition explores the foundations and development of both Euclidean and non-Euclidean geometry, particularly the postulational geometry of planes. Emphasis is placed upon the coordination of affine and projective planes as well as the basic unity of algebra and geometry. Geared toward undergraduate and graduate students, the treatment begins with a brief but engaging sketch of the historical background of Euclidean geometry and an elementary summary of set theory and propositional calculus. Subsequent chapters explore coordinates in an affine plane, including those with Desargues and Pappus properties, and coordinatizing projective planes. The final two chapters contain detailed developments of simple sets of postulates for the Euclidean and non-Euclidean planes. |