Euclidean And Non Euclidean Geometries PDF Download
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Author | : Marvin J. Greenberg |
Publisher | : Macmillan |
Total Pages | : 512 |
Release | : 1993-07-15 |
Genre | : Mathematics |
ISBN | : 9780716724469 |
Download Euclidean and Non-Euclidean Geometries Book in PDF, ePub and Kindle
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 | : Patrick J. Ryan |
Publisher | : Cambridge University Press |
Total Pages | : 237 |
Release | : 2009-09-04 |
Genre | : Mathematics |
ISBN | : 0521127076 |
Download Euclidean and Non-Euclidean Geometry International Student Edition Book in PDF, ePub and Kindle
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
Author | : Maria Helena Noronha |
Publisher | : |
Total Pages | : 440 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
Download Euclidean and Non-euclidean Geometries Book in PDF, ePub and Kindle
This book develops a self-contained treatment of classical Euclidean geometry through both axiomatic and analytic methods. Concise and well organized, it prompts readers to prove a theorem yet provides them with a framework for doing so. Chapter topics cover neutral geometry, Euclidean plane geometry, geometric transformations, Euclidean 3-space, Euclidean n-space; perimeter, area and volume; spherical geometry; hyperbolic geometry; models for plane geometries; and the hyperbolic metric.
Author | : Henry Parker Manning |
Publisher | : Courier Corporation |
Total Pages | : 110 |
Release | : 2005-02-18 |
Genre | : Mathematics |
ISBN | : 0486442624 |
Download Introductory Non-Euclidean Geometry Book in PDF, ePub and Kindle
This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes. It begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. Major topics include hyperbolic geometry, single elliptic geometry, and analytic non-Euclidean geometry. 1901 edition.
Author | : Marvin J. Greenberg |
Publisher | : |
Total Pages | : 400 |
Release | : 1993 |
Genre | : Geometry |
ISBN | : |
Download Euclidean and Non-Euclidean Geometries Book in PDF, ePub and Kindle
Author | : Harold E. Wolfe |
Publisher | : Courier Corporation |
Total Pages | : 272 |
Release | : 2013-09-26 |
Genre | : Mathematics |
ISBN | : 0486320375 |
Download Introduction to Non-Euclidean Geometry Book in PDF, ePub and Kindle
College-level text for elementary courses covers the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Appendixes offer background on Euclidean geometry. Numerous exercises. 1945 edition.
Author | : Harold Scott Macdonald Coxeter |
Publisher | : |
Total Pages | : 0 |
Release | : 1965 |
Genre | : Geometry, Non-Euclidean |
ISBN | : |
Download Non-Euclidean geometry Book in PDF, ePub and Kindle
Author | : Boris A. Rosenfeld |
Publisher | : Springer Science & Business Media |
Total Pages | : 481 |
Release | : 2012-09-08 |
Genre | : Mathematics |
ISBN | : 1441986804 |
Download A History of Non-Euclidean Geometry Book in PDF, ePub and Kindle
The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes. " During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics.
Author | : András Prékopa |
Publisher | : Springer Science & Business Media |
Total Pages | : 497 |
Release | : 2006-06-03 |
Genre | : Mathematics |
ISBN | : 0387295550 |
Download Non-Euclidean Geometries Book in PDF, ePub and Kindle
"From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and the co-discoverer, the Russian Lobachevskii, changed the course of mathematics, opened the way for modern physical theories of the twentieth century, and had an impact on the history of human culture. The papers in this volume, which commemorates the 200th anniversary of the birth of János Bolyai, were written by leading scientists of non-Euclidean geometry, its history, and its applications. Some of the papers present new discoveries about the life and works of János Bolyai and the history of non-Euclidean geometry, others deal with geometrical axiomatics; polyhedra; fractals; hyperbolic, Riemannian and discrete geometry; tilings; visualization; and applications in physics.
Author | : John Stillwell |
Publisher | : Springer Science & Business Media |
Total Pages | : 240 |
Release | : 2005-08-09 |
Genre | : Mathematics |
ISBN | : 0387255303 |
Download The Four Pillars of Geometry Book in PDF, ePub and Kindle
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises