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Geometria Non Euclidea
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Book Synopsis Non-Euclidean Geometry by : Roberto Bonola
Download or read book Non-Euclidean Geometry written by Roberto Bonola and published by . This book was released on 1912 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines various attempts to prove Euclid's parallel postulate -- by the Greeks, Arabs and Renaissance mathematicians. Ranging through the 17th, 18th, and 19th centuries, it considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachewsky.
Book Synopsis Non-Euclidean Geometry by : H.S.M. Coxeter
Download or read book Non-Euclidean Geometry written by H.S.M. Coxeter and published by University of Toronto Press. This book was released on 1965-12-15 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name non-Euclidean was used by Gauss to describe a system of geometry which differs from Euclid's in its properties of parallelism. Such a system was developed independently by Bolyai in Hungary and Lobatschewsky in Russia, about 120 years ago. Another system, differing more radically from Euclid's, was suggested later by Riemann in Germany and Cayley in England. The subject was unified in 1871 by Klein, who gave the names of parabolic, hyperbolic, and elliptic to the respective systems of Euclid-Bolyai-Lobatschewsky, and Riemann-Cayley. Since then, a vast literature has accumulated. The Fifth edition adds a new chapter, which includes a description of the two families of 'mid-lines' between two given lines, an elementary derivation of the basic formulae of spherical trigonometry and hyperbolic trigonometry, a computation of the Gaussian curvature of the elliptic and hyperbolic planes, and a proof of Schlafli's remarkable formula for the differential of the volume of a tetrahedron.
Book Synopsis Non-Euclidean Geometries by : András Prékopa
Download or read book Non-Euclidean Geometries written by András Prékopa and published by Springer Science & Business Media. This book was released on 2006-06-03 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Non-Euclidean Geometry by : Roberto Bonola
Download or read book Non-Euclidean Geometry written by Roberto Bonola and published by Cosimo, Inc.. This book was released on 2007-05-01 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines various attempts to prove Euclid's parallel postulate -- by the Greeks, Arabs and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, others. Includes 181 diagrams.
Book Synopsis The Elements of Non-Euclidean Geometry by : Duncan M'Laren Young Sommerville
Download or read book The Elements of Non-Euclidean Geometry written by Duncan M'Laren Young Sommerville and published by . This book was released on 1914 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Non-Euclidean Geometry by : Julian Lowell Coolidge
Download or read book The Elements of Non-Euclidean Geometry written by Julian Lowell Coolidge and published by . This book was released on 1909 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Non-Euclidean Plane Geometry and Trigonometry by : Horatio Scott Carslaw
Download or read book The Elements of Non-Euclidean Plane Geometry and Trigonometry written by Horatio Scott Carslaw and published by . This book was released on 1916 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis La Geometria Non-Euclidea by : Roberto Bonola
Download or read book La Geometria Non-Euclidea written by Roberto Bonola and published by . This book was released on with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A History of Non-Euclidean Geometry by : Boris A. Rosenfeld
Download or read book A History of Non-Euclidean Geometry written by Boris A. Rosenfeld and published by Springer Science & Business Media. This book was released on 2012-09-08 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Non-Euclidean Geometry: Sixth Edition by : H. S. M. Coxeter
Download or read book Non-Euclidean Geometry: Sixth Edition written by H. S. M. Coxeter and published by American Mathematical Soc.. This book was released on 1998-12-31 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reissue of Professor Coxeter's classic text on non-euclidean geometry.
Book Synopsis Non-Euclidean Geometry by : Harold Scott Macdonald Coxeter
Download or read book Non-Euclidean Geometry written by Harold Scott Macdonald Coxeter and published by . This book was released on 1947 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bibliography of Non-Euclidean Geometry by : Duncan M'Laren Young Sommerville
Download or read book Bibliography of Non-Euclidean Geometry written by Duncan M'Laren Young Sommerville and published by . This book was released on 1911 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-Euclidean Geometry by : Henry Parker Manning
Download or read book Non-Euclidean Geometry written by Henry Parker Manning and published by . This book was released on 1901 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Non-Euclidean Geometry by : Harold E. Wolfe
Download or read book Introduction to Non-Euclidean Geometry written by Harold E. Wolfe and published by Courier Corporation. This book was released on 2012-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the first college-level texts for elementary courses in non-Euclidean geometry, this volumeis geared toward students familiar with calculus. Topics include the fifth postulate, hyperbolicplane geometry and trigonometry, and elliptic plane geometry and trigonometry. Extensiveappendixes offer background information on Euclidean geometry, and numerous exercisesappear throughout the text.Reprint of the Holt, Rinehart & Winston, Inc., New York, 1945 edition
Book Synopsis In The Search For Beauty: Unravelling Non-euclidean Geometry by : Voldemar Smilga
Download or read book In The Search For Beauty: Unravelling Non-euclidean Geometry written by Voldemar Smilga and published by World Scientific. This book was released on 2018-11-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about the people, brilliant mathematicians starting from Pythagoras and Euclid and terminating with Gauss, Lobachevsky and Klein. For two thousand years, mathematicians tried to prove the fifth postulate (whose formulation seemed to them too complicated to be a real postulate and not a theorem, hence the title In the Search for Beauty). But in the 19th century, they realized that such proof was impossible, and this led to a revolution in mathematics and then in physics. The two final chapters are devoted to Einstein and his general relativity which revealed to us that the geometry of the world we live in is not Euclidean.Also included is an historical essay on Omar Khayyam, who was not only a poet, but also a brilliant astronomer and mathematician.
Book Synopsis Foundations of Hyperbolic Manifolds by : John Ratcliffe
Download or read book Foundations of Hyperbolic Manifolds written by John Ratcliffe and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of ar gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is de voted to the theory of hyperbolic manifolds. The main results are Mostow's rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincare's fundamental polyhedron theorem.
Book Synopsis The Non-Euclidean Revolution by : Richard J. Trudeau
Download or read book The Non-Euclidean Revolution written by Richard J. Trudeau and published by Springer Science & Business Media. This book was released on 2009-06-08 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. A portion of the book won the Pólya Prize, a distinguished award from the Mathematical Association of America.
