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Description for Geometry
Hardcover. Offers an opportunity to understand one of the great thinkers of western civilization, Euclid. This book includes such topics as the introduction of coordinates, the theory of area, geometrical constructions and finite field extensions, history of the parallel postulate, various non-Euclidean geometries, and the regular and semi-regular polyhedra. Series: Undergraduate Texts in Mathematics. Num Pages: 528 pages, biography. BIC Classification: PBM. Category: (G) General (US: Trade); (P) Professional & Vocational; (UU) Undergraduate. Dimension: 262 x 191 x 40. Weight in Grams: 1092.
In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's axioms. The Cartesian plane over a field ... Read more
In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's axioms. The Cartesian plane over a field ... Read more
Product Details
Publisher
Springer-Verlag New York Inc. United States
Number of pages
539
Format
Hardback
Publication date
2005
Series
Undergraduate Texts in Mathematics
Condition
New
Number of Pages
528
Place of Publication
New York, NY, United States
ISBN
9780387986500
SKU
V9780387986500
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Geometry