Introductory Non Euclidean Geometry

Author : Henry Parker Manning
Publisher : Courier Corporation
ISBN 13 : 0486442624
Total Pages : 110 pages
Book Rating : 4.24/5 ( download)

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Download or read book Introductory Non-Euclidean Geometry written by Henry Parker Manning and published by Courier Corporation. This book was released on 2005-02-18 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Harold Scott Macdonald Coxeter
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.40/5 ( download)

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Download or read book Non-Euclidean geometry written by Harold Scott Macdonald Coxeter and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Marvin J. Greenberg
Publisher : Macmillan
ISBN 13 : 9780716724469
Total Pages : 512 pages
Book Rating : 4.64/5 ( download)

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Download or read book Euclidean and Non-Euclidean Geometries written by Marvin J. Greenberg and published by Macmillan. This book was released on 1993-07-15 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Harold E. Wolfe
Publisher : Courier Corporation
ISBN 13 : 0486320375
Total Pages : 272 pages
Book Rating : 4.73/5 ( download)

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Download or read book Introduction to Non-Euclidean Geometry written by Harold E. Wolfe and published by Courier Corporation. This book was released on 2013-09-26 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Patrick J. Ryan
Publisher : Cambridge University Press
ISBN 13 : 0521127076
Total Pages : 237 pages
Book Rating : 4.73/5 ( download)

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Download or read book Euclidean and Non-Euclidean Geometry International Student Edition written by Patrick J. Ryan and published by Cambridge University Press. This book was released on 2009-09-04 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.

Author : EISENREICH
Publisher : Elsevier
ISBN 13 : 1483295311
Total Pages : 287 pages
Book Rating : 4.12/5 ( download)

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Download or read book Introduction to Non-Euclidean Geometry written by EISENREICH and published by Elsevier. This book was released on 2014-06-28 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Non-Euclidean Geometry covers some introductory topics related to non-Euclidian geometry, including hyperbolic and elliptic geometries. This book is organized into three parts encompassing eight chapters. The first part provides mathematical proofs of Euclid’s fifth postulate concerning the extent of a straight line and the theory of parallels. The second part describes some problems in hyperbolic geometry, such as cases of parallels with and without a common perpendicular. This part also deals with horocycles and triangle relations. The third part examines single and double elliptic geometries. This book will be of great value to mathematics, liberal arts, and philosophy major students.

Author : Michael P. Hitchman
Publisher : Jones & Bartlett Learning
ISBN 13 : 0763754579
Total Pages : 255 pages
Book Rating : 4.70/5 ( download)

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Download or read book Geometry with an Introduction to Cosmic Topology written by Michael P. Hitchman and published by Jones & Bartlett Learning. This book was released on 2009 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.

Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 1461209293
Total Pages : 225 pages
Book Rating : 4.94/5 ( download)

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Download or read book Geometry of Surfaces written by John Stillwell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geometry of surfaces is an ideal starting point for learning geometry, for, among other reasons, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. This text provides the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric. It includes exercises and informal discussions.

Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 0387255303
Total Pages : 240 pages
Book Rating : 4.09/5 ( download)

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Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Arlan Ramsay
Publisher : Springer Science & Business Media
ISBN 13 : 1475755856
Total Pages : 300 pages
Book Rating : 4.55/5 ( download)

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Download or read book Introduction to Hyperbolic Geometry written by Arlan Ramsay and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a standard upper division course on hyperbolic geometry. For that material, the students need to be familiar with calculus and linear algebra and willing to accept one advanced theorem from analysis without proof. The book goes well beyond the standard course in later chapters, and there is enough material for an honors course, or for supplementary reading. Indeed, parts of the book have been used for both kinds of courses. Even some of what is in the early chapters would surely not be nec essary for a standard course. For example, detailed proofs are given of the Jordan Curve Theorem for Polygons and of the decomposability of poly gons into triangles, These proofs are included for the sake of completeness, but the results themselves are so believable that most students should skip the proofs on a first reading. The axioms used are modern in character and more "user friendly" than the traditional ones. The familiar real number system is used as an in gredient rather than appearing as a result of the axioms. However, it should not be thought that the geometric treatment is in terms of models: this is an axiomatic approach that is just more convenient than the traditional ones.