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Geometry: A Metric Approach with Models: Undergraduate Texts in Mathematics

Autor Richard S. Millman, George D. Parker
en Limba Engleză Paperback – 23 feb 2014
Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly. The second edition has been expanded to include a selection of expository exercises. Additionally, the authors have designed software with computational problems to accompany the text. This software may be obtained from George Parker.
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Specificații

ISBN-13: 9780387201399
ISBN-10: 0387201394
Pagini: 372
Ilustrații: XIV, 372 p.
Dimensiuni: 155 x 235 x 21 mm
Greutate: 0.55 kg
Ediția:2nd ed. 1991. Softcover reprint of the original 2nd ed. 1991
Editura: Springer
Colecția Springer
Seria Undergraduate Texts in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Lower undergraduate

Cuprins

Contents: Preliminary Notions.- Incidence and Metric Geometry.- Betweenness and Elementary Figures.- Plane Separation.- Angle Measure.- Neutral Geometry.- The Theory of Parallels.- Hyperbolic Geometry.- Euclidean Geometry.- Area.- The Theory of Isometries.- Bibliography.- Index.