Download or read book Multiplicative Euclidean and Non Euclidean Geometry written by Svetlin G. Georgiev and published by Cambridge Scholars Publishing. This book was released on 2022-10-13 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential and integral calculus, the most applicable mathematical theory, was created independently by Isaac Newton and Gottfried Wilhelm Leibnitz in the second half of the 17th century. Later, Leonard Euler redirected calculus by giving a central place to the concept of function, and thus founded analysis. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. From 1967 until 1970, Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics and finance. This book is devoted to multiplicative Euclidean and non-Euclidean geometry, summarizing the most recent contributions in this area. It will appeal to a wide audience of specialists such as mathematicians, physicists, engineers and biologists, and can be used as a textbook at the graduate level or as a reference book for several disciplines.
Download or read book Multiplicative Euclidean and Non Euclidean Geometry written by Svetlin Georgiev and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential and integral calculus, the most applicable mathematical theory, was created independently by Isaac Newton and Gottfried Wilhelm Leibnitz in the second half of the 17th century. Later, Leonard Euler redirected calculus by giving a central place to the concept of function, and thus founded analysis. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. From 1967 until 1970, Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics and finance. This book is devoted to multiplicative Euclidean and non-Euclidean geometry, summarizing the most recent contributions in this area. It will appeal to a wide audience of specialists such as mathematicians, physicists, engineers and biologists, and can be used as a textbook at the graduate level or as a reference book for several disciplines.
Download or read book Euclidean and Non Euclidean Geometry written by Patrick J. Ryan and published by Cambridge University Press. This book was released on 1986-06-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough analysis of the fundamentals of plane geometry The reader is provided with an abundance of geometrical facts such as the classical results of plane Euclidean and non-Euclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition, trigonometrical formulas, etc.
Download or read book Introduction to Non Euclidean Geometry written by Harold Eichholtz Wolfe and published by . This book was released on 1966 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
Download or read book Foundations of Euclidean and Non Euclidean Geometry written by Ellery B. Golos and published by . This book was released on 1968 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Elements of Non Euclidean Geometry written by Julian Coolidge and published by . This book was released on 2016-08-13 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapters Include: Foundation For Metrical Geometry In A Limited Region - Congruent Transformations - The Three Hypotheses - The Introduction Of Trigonometric Formulae - Analytic Formulae - Consistency And Significance Of The Axioms - The Geometric And Analytic Extension Of Space - The Groups Of Congruent Transformations - Point, Line, And Plane Treated Analytically - The Higher Line Geometry - The Circle And The Sphere - Conic Sections - Quadric Surfaces - Areas And Volumes - Introduction To Differential Geometry - Differential Line-Geometry - Multiply Connected Spaces - The Projective Basis Of Non-Euclidean Geometry - The Differential Basis For Euclidean And Non-Euclidean Geometry - Comprehensive Index
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:
Download or read book Companion to Euclid written by Robin Hartshorne and published by American Mathematical Society(RI). This book was released on 1997 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 291 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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:
Download or read book Non euclidean Geometry written by Henry Parker Manning and published by Createspace Independent Publishing Platform. This book was released on 2017-07-06 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: A versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes. Its first two-thirds requires just a familiarity with plane and solid geometry and trigonometry, and calculus is employed only in the final part. 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.
Download or read book Foundation of Euclidean and Non Euclidean Geometries According to F Klein written by László Rédei and published by . This book was released on 1968 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Introduction to Non Euclidean Geometry written by Harold E. Wolfe and published by . This book was released on 1956 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt:
