Author: Marvin J. Greenberg
Publisher: W. H. Freeman
Keywords: euclidean, history, development, geometries, non
Number of Pages: 637
Published: 2007-09-28
List price: unknow
ISBN-10: 0716799480
ISBN-13: 9780716799481
This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high school students. The first eight chapters are mostly accessible to any educated reader; the last two chapters and the two appendices contain more advanced material, such as the classification of motions, hyperbolic trigonometry, hyperbolic construction
Author: Patrick J. Ryan
Publisher: Cambridge University Press
Keywords: euclidean, approach, analytic, geometry, non
Number of Pages: 215
Published: 1986-06-27
List price: $48.00
ISBN-10: 0521276357
ISBN-13: 9780521276351
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical formulae. However, the book not only provides students with facts about and an understanding of the structure of the classical geometries, but also with an arsenal of computational techniques for geometrical investigations. The aim is to link class
Author: Marvin Jay Greenberg
Publisher: W. H. Freeman
Keywords: euclidean, history, development, geometries, non
Number of Pages: 512
Published: 1993-07-15
List price: unknow
ISBN-10: 0716724464
ISBN-13: 9780716724469
This classic text provides overview of both classic and hyperbolic geometries, placing the work of key mathematicians/ philosophers in historical context. Coverage includes geometric transformations, models of the hyperbolic planes, and pseudospheres.
Author: Jeremy Gray
Publisher: Oxford University Press, USA
Keywords: euclidean, relativistic, non, ideas, space
Number of Pages: 256
Published: 1989-09-21
List price: $85.00
ISBN-10: 0198539355
ISBN-13: 9780198539353
Now in a revised and expanded new edition, this volume chronologically traces the evolution of Euclidean, non-Euclidean, and relativistic theories regarding the shape of the universe. A unique, highly readable, and entertaining account, the book assumes no special mathematical knowledge. It reviews the failed classical attempts to prove the parallel postulate and provides coverage of the role of Gauss, Lobachevskii, and Bolyai in setting the foundations of modern differential geometry, which laid the groundwork for Einstein’s theories of special and general relativity. This updated ac
Author: Roberto Bonola
Publisher: Cosimo Classics
Keywords: geometry, euclidean, non
Number of Pages: 288
Published: 2007-05-01
List price: $9.95
ISBN-10: 1602064652
ISBN-13: 9781602064652
"Non-Euclidean Geometry is a history of the alternate geometries that have emerged since the rejection of Euclid¿s parallel postulate. Italian mathematician ROBERTO BONOLA (1874¿1911) begins by surveying efforts by Greek, Arab, and Renaissance mathematicians to close the gap in Euclid¿s axiom. Then, starting with the 17th century, as mathematicians began to question whether it was actually possible to prove Euclid¿s postulate, he examines non-Euclidean predecessors Saccheri, Lambert, Legendre, W. Bolyai, Wachter, and Thibaut, and non-Euclidean ¿founders¿ Gauss, Schweikart, Taurinus,
Author: Alfred S. Posamentier
Publisher: Key College
Keywords: geometry, euclidean, advanced
Number of Pages: 250
Published: 2002-07-12
List price: $44.95
ISBN-10: 1930190859
ISBN-13: 9781930190856
Many secondary mathematics teachers and teacher educators feel ill-equipped to teach a course in geometry. Most feel fortunate to stay one chapter ahead of the very students they are teaching! Most college-level geometry texts don’t address their specific needs. Advanced Euclidian Geometry was written to fill this void in many ways: • Provides both in-service and pre-service teachers with a solid review of the essentials of the high school geometry course - AND MORE! • Offers further elaboration of those concepts (advanced Euclidian geometry, the 19th and 20th century expansions o
Author: Clayton W. Dodge
Publisher: Dover Publications
Keywords: transformations, geometry, euclidean
Number of Pages: 304
Published: 2004-05-18
List price: $19.95
ISBN-10: 0486434761
ISBN-13: 9780486434766
This introduction to Euclidean geometry emphasizes both the theory and the practical application of isometries and similarities to geometric transformations. Contents include modern elementary geometry, isometries and similarities in the plane, vectors and complex numbers in geometry, inversion, and isometries in space. Numerous exercises, many with detailed answers. 1972 edition.
