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Euclidean Geometry and its Subgeometries
Edward John Specht
€ 190.71
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Description for Euclidean Geometry and its Subgeometries
Hardback. Euclidean Geometry and its Subgeometries Num Pages: 527 pages, 59 black & white illustrations, 1 black & white tables, biography. BIC Classification: PBMH. Category: (P) Professional & Vocational. Dimension: 246 x 167 x 35. Weight in Grams: 996.
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isometries by means of reflection mappings. The authors present thirteen axioms in sequence, proving as many theorems as possible at each stage and, in the process, building up subgeometries, most notably the Pasch and neutral geometries. Standard topics such as the congruence theorems ... Read more
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isometries by means of reflection mappings. The authors present thirteen axioms in sequence, proving as many theorems as possible at each stage and, in the process, building up subgeometries, most notably the Pasch and neutral geometries. Standard topics such as the congruence theorems ... Read more
Product Details
Format
Hardback
Publication date
2016
Publisher
Birkhäuser
Condition
New
Number of Pages
527
Place of Publication
Basel, Switzerland
ISBN
9783319237749
SKU
V9783319237749
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Euclidean Geometry and its Subgeometries
This is the most detailed undergraduate textbook on the axiomatic foundation of Euclidean geometry ever written. (Victor V. Pambuccian, Mathematical Reviews, July, 2016) The authors do a commendable job of writing out proofs in detail and attempting to make the text accessible to undergraduates. ... It makes a very useful reference source, and ... there ... Read more