Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Introduction To Non Euclidean Geometry PDF full book. Access full book title Introduction To Non Euclidean Geometry.
| Author | : Harold E. Wolfe |
| Publisher | : Courier Corporation |
| Total Pages | : 272 |
| Release | : 2013-09-26 |
| Genre | : Mathematics |
| ISBN | : 0486320375 |
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 | : Henry Parker Manning |
| Publisher | : Courier Corporation |
| Total Pages | : 110 |
| Release | : 2005-02-18 |
| Genre | : Mathematics |
| ISBN | : 0486442624 |
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 | : |
| Total Pages | : 0 |
| Release | : 1965 |
| Genre | : Geometry, Non-Euclidean |
| ISBN | : |
| Author | : Marvin J. Greenberg |
| Publisher | : Macmillan |
| Total Pages | : 512 |
| Release | : 1993-07-15 |
| Genre | : Mathematics |
| ISBN | : 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 | : Arlan Ramsay |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 300 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 1475755856 |
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.
| Author | : Patrick J. Ryan |
| Publisher | : Cambridge University Press |
| Total Pages | : 237 |
| Release | : 2009-09-04 |
| Genre | : Mathematics |
| ISBN | : 0521127076 |
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
| Author | : Michael P. Hitchman |
| Publisher | : Jones & Bartlett Learning |
| Total Pages | : 255 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0763754579 |
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 | : David A. Singer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 171 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461206073 |
A fascinating tour through parts of geometry students are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclids fifth postulate lead to interesting and different patterns and symmetries, and, in the process of examining geometric objects, the author incorporates the algebra of complex and hypercomplex numbers, some graph theory, and some topology. Interesting problems are scattered throughout the text. Nevertheless, the book merely assumes a course in Euclidean geometry at high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singers lively exposition and off-beat approach will greatly appeal both to students and mathematicians, and the contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.
| Author | : EISENREICH |
| Publisher | : Elsevier |
| Total Pages | : 287 |
| Release | : 2014-06-28 |
| Genre | : Mathematics |
| ISBN | : 1483295311 |
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 | : I.M. Yaglom |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 326 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 146126135X |
There are many technical and popular accounts, both in Russian and in other languages, of the non-Euclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography. This geometry, also called hyperbolic geometry, is part of the required subject matter of many mathematics departments in universities and teachers' colleges-a reflec tion of the view that familiarity with the elements of hyperbolic geometry is a useful part of the background of future high school teachers. Much attention is paid to hyperbolic geometry by school mathematics clubs. Some mathematicians and educators concerned with reform of the high school curriculum believe that the required part of the curriculum should include elements of hyperbolic geometry, and that the optional part of the curriculum should include a topic related to hyperbolic geometry. I The broad interest in hyperbolic geometry is not surprising. This interest has little to do with mathematical and scientific applications of hyperbolic geometry, since the applications (for instance, in the theory of automorphic functions) are rather specialized, and are likely to be encountered by very few of the many students who conscientiously study (and then present to examiners) the definition of parallels in hyperbolic geometry and the special features of configurations of lines in the hyperbolic plane. The principal reason for the interest in hyperbolic geometry is the important fact of "non-uniqueness" of geometry; of the existence of many geometric systems.
