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Author : George Wirgman Hemming
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.3/5 (91 download)
Download or read book Billiards Mathematically Treated written by George Wirgman Hemming and published by . This book was released on 1904 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Wirgman Hemming
Publisher :
ISBN 13 : 9780598414182
Total Pages : 45 pages
Book Rating : 4.4/5 (141 download)
Download or read book Billiards Mathematically Treated written by George Wirgman Hemming and published by . This book was released on 2003 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Wirgman HEMMING
Publisher :
ISBN 13 :
Total Pages : 61 pages
Book Rating : 4.:/5 (771 download)
Download or read book Billiards mathematically treated ... 2nd edition written by George Wirgman HEMMING and published by . This book was released on 1904 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rozikov Utkir A
Publisher : World Scientific
ISBN 13 : 9813276487
Total Pages : 224 pages
Book Rating : 4.8/5 (132 download)
Download or read book An Introduction To Mathematical Billiards written by Rozikov Utkir A and published by World Scientific. This book was released on 2018-12-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical billiard is a mechanical system consisting of a billiard ball on a table of any form (which can be planar or even a multidimensional domain) but without billiard pockets. The ball moves and its trajectory is defined by the ball's initial position and its initial speed vector. The ball's reflections from the boundary of the table are assumed to have the property that the reflection and incidence angles are the same. This book comprehensively presents known results on the behavior of a trajectory of a billiard ball on a planar table (having one of the following forms: circle, ellipse, triangle, rectangle, polygon and some general convex domains). It provides a systematic review of the theory of dynamical systems, with a concise presentation of billiards in elementary mathematics and simple billiards related to geometry and physics.The description of these trajectories leads to the solution of various questions in mathematics and mechanics: problems related to liquid transfusion, lighting of mirror rooms, crushing of stones in a kidney, collisions of gas particles, etc. The analysis of billiard trajectories can involve methods of geometry, dynamical systems, and ergodic theory, as well as methods of theoretical physics and mechanics, which has applications in the fields of biology, mathematics, medicine, and physics.
Author : Serge Tabachnikov
Publisher : American Mathematical Soc.
ISBN 13 : 0821839195
Total Pages : 192 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometry and Billiards written by Serge Tabachnikov and published by American Mathematical Soc.. This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : George Wirgman Hemming
Publisher : Nabu Press
ISBN 13 : 9781294491866
Total Pages : 76 pages
Book Rating : 4.4/5 (918 download)
Download or read book Billiards Mathematically Treated... written by George Wirgman Hemming and published by Nabu Press. This book was released on 2014-01-11 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ Billiards Mathematically Treated 2 George Wirgman Hemming Macmillan and Co, Limited, 1904 Billiards
Author : Valeriĭ Viktorovich Kozlov
Publisher : American Mathematical Soc.
ISBN 13 : 0821845500
Total Pages : 182 pages
Book Rating : 4.8/5 (218 download)
Download or read book Billiards: A Genetic Introduction to the Dynamics of Systems with Impacts written by Valeriĭ Viktorovich Kozlov and published by American Mathematical Soc.. This book was released on 1991-08-05 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with the work of G D Birkhoff, billiards have been a popular research topic drawing on such areas as ergodic theory, Morse theory, and KAM theory. Billiard systems are also remarkable in that they arise naturally in a number of important problems of mechanics and physics. This book is devoted to mathematical aspects of the theory of dynamical systems of billiard type. Focusing on the genetic approach, the authors strive to clarify the genesis of the basic ideas and concepts of the theory of dynamical systems with impact intereactions and also to demonstrate that these methods are natural and effective. Recent limit theorems, which justify various mathematical models of impact theory, are key features. Questions of existence and stability of periodic trajectories of elastic billiards occupy a special place in the book, and considerable attention is devoted to integrable billiards. A brief survey is given of work on billiards with ergodic behaviour. Each chapter ends with a list of problems.
Author : Gary Clarke
Publisher : Paragon Publishing
ISBN 13 : 1899820469
Total Pages : 276 pages
Book Rating : 4.8/5 (998 download)
Download or read book A Billiards and Snooker Compendium written by Gary Clarke and published by Paragon Publishing. This book was released on 2008 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Billiards & Snooker Compendium A Billiards & Snooker Compendium is the most extensive work on the literature of billiards and snooker ever published and took over two years to compile. It contains bibliographical information on over 650 books, a detailed description of each book's content, tips on identifying different editions, notes on scarce dustjackets, plus the estimated values of 1st editions. These values have been calculated using a variety of well respected sources. This essential reference book is easy to use, is clearly laid out, and includes both an author and title index. Each book has its own unique reference number and entries are fully cross referenced. It will appeal to all collectors of billiards and snooker memorabilia, book dealers and collectors, fans of both sports, and those simply wishing to add a few books to their sports collection. About the author Gary Clarke has been playing and watching snooker for over 25 years and has a great knowledge and deep affection for the game. He is also an avid reader and book lover and this work combines two of his most passionate interests. The author currently lives in his home town of Ipswich and this is his first work of non-fiction.
Author : Nikolai Chernov
Publisher : American Mathematical Society
ISBN 13 : 1470474425
Total Pages : 330 pages
Book Rating : 4.4/5 (74 download)
Download or read book Chaotic Billiards written by Nikolai Chernov and published by American Mathematical Society. This book was released on 2023-09-18 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers one of the most exciting but most difficult topics in the modern theory of dynamical systems: chaotic billiards. In physics, billiard models describe various mechanical processes, molecular dynamics, and optical phenomena. The theory of chaotic billiards has made remarkable progress in the past thirty-five years, but it remains notoriously difficult for the beginner, with main results scattered in hardly accessible research articles. This is the first and so far only book that covers all the fundamental facts about chaotic billiards in a complete and systematic manner. The book contains all the necessary definitions, full proofs of all the main theorems, and many examples and illustrations that help the reader to understand the material. Hundreds of carefully designed exercises allow the reader not only to become familiar with chaotic billiards but to master the subject. The book addresses graduate students and young researchers in physics and mathematics. Prerequisites include standard graduate courses in measure theory, probability, Riemannian geometry, topology, and complex analysis. Some of this material is summarized in the appendices to the book.
Author :
Publisher :
ISBN 13 :
Total Pages : 740 pages
Book Rating : 4.E/5 ( download)
Download or read book The Speaker written by and published by . This book was released on 1900 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 848 pages
Book Rating : 4.3/5 (243 download)
Download or read book The Athenaeum written by and published by . This book was released on 1900 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 932 pages
Book Rating : 4.3/5 (91 download)
Download or read book The American Catalogue written by and published by . This book was released on 1901 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: American national trade bibliography.
Author : C. M. van Stockum
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.A/5 ( download)
Download or read book Sport written by C. M. van Stockum and published by . This book was released on 1914 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Toronto Public Libraries
Publisher :
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.3/5 (91 download)
Download or read book Subject Catalogue of Books in the Central Circulating Library written by Toronto Public Libraries and published by . This book was released on 1898 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hugh Chisholm
Publisher :
ISBN 13 :
Total Pages : 2074 pages
Book Rating : 4.:/5 ( download)
Download or read book The Encyclopaedia Britannica written by Hugh Chisholm and published by . This book was released on 1910 with total page 2074 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Petre P. Teodorescu
Publisher : Springer Science & Business Media
ISBN 13 : 1402089880
Total Pages : 570 pages
Book Rating : 4.4/5 (2 download)
Download or read book Mechanical Systems, Classical Models written by Petre P. Teodorescu and published by Springer Science & Business Media. This book was released on 2008-09-24 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, on its five principles, i. e. : the inertia, the forces action, the action and reaction, the parallelogram and the initial conditions principle, respectively. Other models, e. g. , the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler’s laws brilliantly verify this model in case of velocities much smaller than the light velocity in vacuum. The non-classical models are relativistic and quantic. Mechanics has as object of study mechanical systems. The first volume of this book dealt with particle dynamics. The present one deals with discrete mechanical systems for particles in a number greater than the unity, as well as with continuous mechanical systems. We put in evidence the difference between these models, as well as the specificity of the corresponding studies; the generality of the proofs and of the corresponding computations yields a common form of the obtained mechanical results for both discrete and continuous systems. We mention the thoroughness by which the dynamics of the rigid solid with a fixed point has been presented. The discrete or continuous mechanical systems can be non-deformable (e. g.
Author : Henry Sotheran Ltd
Publisher :
ISBN 13 :
Total Pages : 866 pages
Book Rating : 4.:/5 (321 download)
Download or read book Catalogue of Science and Technology, No written by Henry Sotheran Ltd and published by . This book was released on 1922 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:
