Non-Euclidean Geometry: Sixth Edition PDF Download

Author: H. S. M. Coxeter
Publisher: American Mathematical Soc.
ISBN: 1614445168
Category : Mathematics
Languages : en
Pages : 336

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Book Description
A reissue of Professor Coxeter's classic text on non-euclidean geometry.

Author: Marvin J. Greenberg
Publisher: Macmillan
ISBN: 9780716724469
Category : Mathematics
Languages : en
Pages : 512

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Book Description
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
ISBN: 0521127076
Category : Mathematics
Languages : hr
Pages : 237

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Book Description
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.

Author: Harold E. Wolfe
Publisher: Courier Corporation
ISBN: 0486320375
Category : Mathematics
Languages : en
Pages : 274

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Book Description
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: Boris A. Rosenfeld
Publisher: Springer Science & Business Media
ISBN: 1441986804
Category : Mathematics
Languages : en
Pages : 481

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Book Description
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: Michael Henle
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 404

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Book Description
Engaging, accessible, and extensively illustrated, this brief, but solid introduction to modern geometry describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists. Basically non-Euclidean in approach, it relates geometry to familiar ideas from analytic geometry, staying firmly in the Cartesian plane. It uses the principle geometric concept of congruence or geometric transformation--introducing and using the Erlanger Program explicitly throughout. It features significant modern applications of geometry--e.g., the geometry of relativity, symmetry, art and crystallography, finite geometry and computation. Covers a full range of topics from plane geometry, projective geometry, solid geometry, discrete geometry, and axiom systems. For anyone interested in an introduction to geometry used by contemporary mathematicians and theoretical scientists.

Author: Eugene F. Krause
Publisher: Courier Corporation
ISBN: 048613606X
Category : Mathematics
Languages : en
Pages : 99

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Book Description
Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.

Author: Henry Parker Manning
Publisher:
ISBN: 9789393971654
Category : Mathematics
Languages : en
Pages : 86

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Book Description
1. INTRODUCTION 2. PANGEOMETRY Propositions Depending Only on the Principle of Superposition Propositions Which Are True for Restricted Figures The Three Hypotheses 3. THE HYPERBOLIC GEOMETRY Parallel Lines Boundary-curves and Surfaces, and Equidistant-curves and Surfaces Trigonometrical Formulae 4. THE ELLIPTIC GEOMETRY 5.ANALYTIC NON-EUCLIDEAN GEOMETRY Hyperbolic Analytic Geometry Elliptic Analytic Geometry Elliptic Solid Analytic Geometry 6. HISTORICAL NOTE

Author: Maria Helena Noronha
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 440

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Book Description
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: Stefan Kulczycki
Publisher: Courier Corporation
ISBN: 0486155013
Category : Mathematics
Languages : en
Pages : 210

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Book Description
This accessible approach features stereometric and planimetric proofs, and elementary proofs employing only the simplest properties of the plane. A short history of geometry precedes the systematic exposition. 1961 edition.