Last edited by Vikazahn
Friday, April 24, 2020 | History

10 edition of A simple non-Euclidean geometry and its physical basis found in the catalog.

A simple non-Euclidean geometry and its physical basis

an elementary account of Galilean geometry and the Galilean principle of relativity

by I. M. IНЎAglom

  • 307 Want to read
  • 17 Currently reading

Published by Springer in New York .
Written in English

    Subjects:
  • Geometry, Non-Euclidean.,
  • Relativity (Physics)

  • Edition Notes

    StatementI. M. Yaglom ; translated from the Russian by Abe Shenitzer ; with the editorial assistance of Basil Gordon.
    SeriesHeidelberg science library
    Classifications
    LC ClassificationsQA685 .I2413
    The Physical Object
    Paginationxviii, 307 p. :
    Number of Pages307
    ID Numbers
    Open LibraryOL4737600M
    ISBN 100387903321
    LC Control Number78027788

    NON-EUCLIDEAN GEOMETRY By Skyler W. Ross B.S. University of Maine, A THESIS Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Arts (in Mathematics) The Graduate School University of Maine May, Advisory Committee: William O. Bray: Chair and Professor of Mathematics, Co-Advisor. A Very Simple Non-Euclidean Geometry and Its Physical Basis, Springer-Verlag, `79 QAI Zage, Wayne, The Geometry of Binocular Visual Space, Math Magazine, Nov. `80 Websites (with date of addition to this list).


Share this book
You might also like
Dickman bookcharging system.

Dickman bookcharging system.

Synopsis of the legal aspects of contact lens practice for optometrists

Synopsis of the legal aspects of contact lens practice for optometrists

Cities and housing

Cities and housing

Trading tastes

Trading tastes

Payment-in-kind (PIK)

Payment-in-kind (PIK)

Hurting and healing

Hurting and healing

Cats; history, care, breeds.

Cats; history, care, breeds.

Broads natural area profile

Broads natural area profile

Lobelia dortmanna L..

Lobelia dortmanna L..

Conflicts of power in modern culture

Conflicts of power in modern culture

That pup!

That pup!

Woodwind (Musical Instruments/2nd Edition)

Woodwind (Musical Instruments/2nd Edition)

Superstar ...

Superstar ...

Wales

Wales

Bayesian statistics 4

Bayesian statistics 4

Sounds musical.

Sounds musical.

A simple non-Euclidean geometry and its physical basis by I. M. IНЎAglom Download PDF EPUB FB2

A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account Of Galilean Geometry And The Galilean Principle Of Relativity (Heidelberg Science Library) Softcover reprint of the original 1st ed.

EditionCited by: This geometry, also called hyperbolic geometry, is part of the required subject matter of many mathematics A Simple Non-Euclidean Geometry and Its Physical Basis - An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity | I.M.

Yaglom | SpringerBrand: Springer-Verlag New York. A simple non-Euclidean geometry and its physical basis: an elementary account of Galilean geometry and the Galilean principle of relativity by I͡Aglom, I. (Isaak Moiseevich), A Simple Non-Euclidean Geometry and Its Physical Basis An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity.

A simple non-Euclidean geometry and its physical basis: an elementary account of Galilean geometry and the Galilean principle of relativity by I͡Aglom, I. (Isaak Moiseevich), Pages: In A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity (Heidelberg Science Library) by I.M.

Yaglom (), that serious flaws in the economy are also to blame, 4/5(3K). A simple non-Euclidean geometry and its physical basis: an elementary account of Galilean geometry and the Galilean principle of relativity by I͡Aglom, I.

(Isaak Moiseevich) pdf book,free download - eBookmela. This book is an attempt to give a simple and direct account of the Non-Euclidean Geometry, and one which presupposes but little knowledge of Math-ematics. The first three chapters assume a knowledge of only Plane and Solid Geometry and Trigonometry, and the entire book can be read by one who has.

Upper Saddle River, NJ: Prentice Hall, This is a textbook used in several undergraduate courses in the U.S. and Canada. It provides an inviting, detailed, hands-on, inquiry-based approach to learning non-Euclidean geometry. Especially instructive is the comparative view, property by property.

Non-Euclidean Geometry (Dover Books on Mathematics) This accessible approach features two varieties of proofs: stereometric and planimetric, as well as elementary proofs that employ only the simplest properties of the plane. A short history of geometry precedes a systematic exposition of the principles of non-Euclidean geometry.

In this post, we will see the book A simple non-Euclidean geometry and its physical basis: an elementary account of Galilean geometry and the Galilean principle of relativity by I.

Yaglom. This book is remarkable in that it relies only on precalculus mathematics and yet has an "idea density" exceeding that of many advanced texts.

Springer books via Google Books Isaak Yaglom () A Simple Non-Euclidean Geometry and its Physical Basis, Springer, ISBNMR A Lobachevskij ( words) [view diff] exact match in snippet view article find links to article.

In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises when either the metric requirement is relaxed, or the parallel postulate is replaced with an alternative one.

In the latter. Disk Models of non-Euclidean Geometry Beltrami and Klein made a model of non-Euclidean geometry in a disk, with chords being the lines. But angles are measured in a complicated way. Poincaré discovered a model made from points in a disk and arcs of circles orthogonal to the boundary of the disk.

Angles are measured in the usual Size: KB. A Simple Non-Euclidean Geometry And Its Physical Basis. and on the relation between abstract “mathematical geometry” and the “physical geometry” concerned with certain properties of physical space.

The non- uniqueness of geometry already justifies the effort to dislodge from the minds of prospective high school teachers the notions. A Simple Non-Euclidean Geometry And Its Physical Basis – Yaglom Posted on Ap by The Mitr In this post, we will see the book A simple non-Euclidean geometry and its physical basis: an elementary account of Galilean geometry and the Galilean principle of relativity by I.

Yaglom. This book is remarkable in that it relies only on. Publisher Summary. This chapter discusses the parallels without a common perpendicular. It presents a theorem that states that given any line g and any point F not on it, there exist exactly two lines m, n which go through F, are parallel to g, and do not have a common perpendicular with E is the projection of F on g, then m, make equal acute angles α, β with line EF.

A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account Of Galilean Geometry And The Galilean Principle Of Relativity (Heidelberg Science Library)/5.

The simplest of these is called elliptic geometry and it is considered to be a non-Euclidean geometry due to its lack of parallel lines. By formulating the geometry in terms of a curvature tensor, Riemann allowed non-Euclidean geometry to be applied to higher dimensions.

A simple non-euclidean geometry and its physical basis () Subtitle: An elementary account of Galilean geometry and the Galilean principle of relativity.

Translated by Abe Shenitzer, published by al advisor: Boris Delaunay, Veniamin Kagan. The ancient Greek mathematician Euclid is famous for having written a textbook on geometry. It is one of the most popular books of all time. One of the reason it’s famous is because it introduces the reader to the axiomatic method.

Euclid sought t. While Lobachevsky cre­ated a non-Eu­clid­ean geom­e­try by negat­ing the par­al­lel pos­tu­late, Bolyai worked out a geom­e­try where both the Eu­clid­ean and the hy­per­bolic geom­e­try are pos­si­ble de­pend­ing on a pa­ra­me­ter k. Bolyai ends his work by men­tion­ing that it is not pos­si­ble.

These include Complex Numbers in Geometry, Geometric Transformations, A Simple Non-Euclidean Geometry and its Physical Basis, and Probability and Information. He was Professor of Mathematics at Yaroslavl State University from and a technical consultant at the Academy of Pedagogical Sciences from Download Euclidean Geometry And Transformations eBook in PDF, EPUB, Mobi.

Euclidean Geometry And Transformations also available for Read Online in Mobile and Kindle A Simple Non-Euclidean Geometry and Its Physical Basis. This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good. Simple non-Euclidean geometry and its physical basis.

New York: Springer, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: I M I︠A︡glom. A Simple Non-Euclidean Geometry and Its Physical Basis: an Elementary Account of Galilean Geometry and the Galilean Principle of Relativity.

Introducing non-Euclidean Geometries. The historical developments of non-Euclidean geometry were attempts to deal with the fifth axiom. Mathematicians first tried to directly prove that the first 4 axioms could prove the fifth. However, mathematicians were becoming frustrated and tried some indirect methods.

R13 Lorentz-Minkowski Uzayında LORENTZ VE HİPERBOLİK KOORDİNAT SİSTEMLERİ A Simple Non-Euclidean Geometry and its Physical Basis. Article. A Simple Non-Euclidean Geometry and Its. ↑ Isaak Yaglom () A simple non-Euclidean geometry and its physical basis: an elementary account of Galilean geometry and the Galilean principle of relativity, Springer ISBN ↑ Edwin B.

Wilson & Gilbert N. Lewis () "The Space-time Manifold of Relativity. The MAA is delighted to be the publisher of the sixth edition of this book, updated with a new section on the author's useful concept of inversive distance. Throughout most of this book, non-Euclidean geometries in spaces of two or three dimensions are treated as specializations of real projective geometry in terms of a simple set of axioms concerning points, lines, planes.

The first person to put the Bolyai - Lobachevsky non-Euclidean geometry on the same footing as Euclidean geometry was Eugenio Beltrami (). In he wrote a paper Essay on the interpretation of non-Euclidean geometry which produced a model for 2-dimensional non-Euclidean geometry within 3-dimensional Euclidean geometry.

I.M. Yaglom, A Simple Non-Euclidean Geometry and its Physical Basis (Springer, New York, ) zbMATH Google Scholar 7. G.L. Naber, The Geometry. In particular, I will try to further develop "Galilean geometry" and "Minkowski geometry" based on Yaglom (A Simple Non-Euclidean Geometry and Its Physical Basis.) and introduce "4-vectors and -tensors", with much inspiration from Burke (Spacetime, Geometry, Cosmology) and (Applied Differential Geometry).

For now, follow the "Technical Comments. Request PDF | Geometrical Representation of Hyperbolic Numbers | A relevant property of Euclidean geometry is the Pythagorean distance between. ^ Isaak Yaglom () A simple non-Euclidean geometry and its physical basis: an elementary account of Galilean geometry and the Galilean principle of relativity, Springer ISBN ^ Edwin B.

Wilson & Gilbert N. Lewis () "The Space-time Manifold of Relativity. A Simple Non-euclidean Geometry and its Physical Basis (Paperback). "There are many technical and popular accounts, both in Russian and in other /5(K).

In addition to Geometric Transformations, English translations of his books include Convex Figures (Holt, Rinehart and Winston,written jointly with V.G. Boltyanskii), Challenging Mathematical Problems with Elementary Solutions (Holden-Day,written jointly with his twin brother Akiva M. Yaglom), Complex Numbers in Geometry (Academic Press, ), A Simple.

Home Explore Mathematics /E Classical Geometry Syllabus for Mathematics /E Classical Geometry Syllabus for Published by Guset User, e-books in Non-Euclidean Geometries category Geometry with an Introduction to Cosmic Topology by Mike Hitchman, This text develops non-Euclidean geometry and geometry on surfaces at a level appropriate for undergraduate students who completed a multivariable calculus course and are ready to practice habits of thought needed in advanced undergraduate courses.

The simplest of these is called elliptic geometry and it is considered to be a non-Euclidean geometry due to its lack of parallel lines. By formulating the geometry in terms of a curvature tensor, Riemann allowed non-Euclidean geometry to be applied to higher dimensions.

Terminology It was Gauss who coined the term "non-Euclidean geometry".Author: David J Strumfels. Discover Book Depository's huge selection of Yaglom books online. Free delivery worldwide on over 20 million titles. We use cookies to give you the best possible experience.

A Simple Non-Euclidean Geometry and Its Physical Basis. I. M. Yaglom. 28 Feb A Simple Non-Euclidean Geometry and Its Physical Basis.

B Gordon.A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary 4 copies Le Isometrie 1 copy New Mathematical Library: Geometric Transformations I 1 copy.Non-Euclidean Geometry: non-Euclidean geometry is any geometry that is different from Euclidean geometry.

Each Non-Euclidean geometry is a consistent system of definitions, assumptions, and proofs that describe such objects as points, lines and planes. The two most common non-Euclidean geometries are spherical geometry and hyperbolic geometry.