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Type of bind: Hardcover
Dewey Decimal Number: 516.1
EAN num: 9780387906942
ISBN number: 0387906940
Label: Springer
Manufacturer: Springer
Quantity: 1
Page Count: 509
Printing Date: December 19, 1997
Publishing house: Springer
Sale Popularity Level: 285841
Studio: Springer
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Product Description:
The Foundations of Geometry and the Non-Euclidean Plane is a self-contained text for junior, senior, and first-year graduate courses. Historical material is interwoven with a rigorous ruler- and protractor axiomatic development of the Euclidean and hyperbolic planes. Additional topics include the classical axiomatic systems of Euclid and Hilbert, axiom systems for three and four dimensional absolute geometry, and Pieri's system based on rigid motions. Models, such as Taxicab Geometry, are used extensively to illustrate theory.
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Though perfectly clear to the mathematician, Non-Euclidean geometry is surronded by an aura of mystery and mistrust among the general public, and even a good many mathematicians would be hard pressed to explain exactly how the negation of the parallel postulate leads to all those strange formulas teeming with hyperbolic functions and other exotica. G.E. Martin explains everything beautifully, with exemplary clarity and just the right amount of detail. The reader also gets a complete construction of Euclidean geometry starting with the Birkhoff-Halsted axiom system, as well as a wealth of historical information into the bargain. Every serious math major or amateur ought to read this book, and many a professional could well benefit from it.
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