Ray's New Primary Arithmetic for Young Learners
Author : Joseph Ray
Publisher : Рипол Классик
Page : 108 pages
File Size : 38,46 MB
Release : 1877
Category : Arithmetic
ISBN :
Author : Joseph Ray
Publisher : Рипол Классик
Page : 108 pages
File Size : 38,46 MB
Release : 1877
Category : Arithmetic
ISBN :
Author : Ray Joseph
Publisher : Mott Media
Page : pages
File Size : 49,23 MB
Release : 1985-01-01
Category : Education
ISBN : 9780880620505
Republished version of the Ray's Arithmetic from the late 1870's and early 1880's. Includes the following books: (some in hardback and some in paperback) Primary Arithmetic, Intellectual Arithmetic, Practical Arithmetic, Key to the Primary/Intellectual/Practical, Test Examples in Arithmetic, Higher Arithmetic, Key to Higher Arithmetic, Parent Teacher Guide (by Ruth Beechick).
Author : Joseph 1807-1855 Ray
Publisher : Legare Street Press
Page : 420 pages
File Size : 48,77 MB
Release : 2021-09-09
Category :
ISBN : 9781013323034
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Joseph Ray
Publisher :
Page : 174 pages
File Size : 17,24 MB
Release : 1860
Category : Arithmetic
ISBN :
Author : Joseph Ray
Publisher :
Page : 402 pages
File Size : 33,34 MB
Release : 1877
Category : Arithmetic
ISBN :
Author : Joseph Ray
Publisher :
Page : 160 pages
File Size : 37,7 MB
Release : 1877
Category : Mental arithmetic
ISBN :
Author : Joseph Ray
Publisher :
Page : 174 pages
File Size : 41,41 MB
Release : 1857
Category : Arithmetic
ISBN :
Author : Ruth Beechick
Publisher : Mott Media (MI)
Page : 186 pages
File Size : 33,74 MB
Release : 2012-10-01
Category : Education
ISBN : 9780880620710
Guides your scheduling and planning through the Ray's Arithmetic books. Shows where you can adapt to the needs of slower or advanced students, making selective use of basic portions that are important for all students and higher-level portions that challenge the best students. Provides a test for each unit. Describes games and activities which add variety to your teaching.
Author : Serge Tabachnikov
Publisher : American Mathematical Soc.
Page : 192 pages
File Size : 34,79 MB
Release : 2005
Category : Mathematics
ISBN : 0821839195
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary. This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics. Topics covered include variational principles of billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely integrable billiards, periodic billiard trajectories, polygonal billiards, mechanisms of chaos in billiard dynamics, and the lesser-known subject of dual (or outer) billiards. The book is based on an advanced undergraduate topics course. Minimum prerequisites are the standard material covered in the first two years of college mathematics (the entire calculus sequence, linear algebra). However, readers should show some mathematical maturity and rely on their mathematical common sense. A unique feature of the book is the coverage of many diverse topics related to billiards, for example, evolutes and involutes of plane curves, the four-vertex theorem, a mathematical theory of rainbows, distribution of first digits in various sequences, Morse theory, the Poincare recurrence theorem, Hilbert's fourth problem, Poncelet porism, and many others. There are approximately 100 illustrations. The book is suitable for advanced undergraduates, graduate students, and researchers interested in ergodic theory and geometry. This volume has been copublished with the Mathematics Advanced Study Semesters program at Penn State.
Author : Joseph Ray
Publisher :
Page : 400 pages
File Size : 45,38 MB
Release : 1856
Category :
ISBN :