An introduction to mathematical billiards (Record no. 72650)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02782nmm a2200361 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 00011162 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220711214151.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 181022s2019 si a ob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789813276475 |
| -- | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (pbk.) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 515/.39 |
| 100 1# - AUTHOR NAME | |
| Author | Rozikov, Utkir A., |
| 245 13 - TITLE STATEMENT | |
| Title | An introduction to mathematical billiards |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Singapore : |
| Publisher | World Scientific Publishing Co. Pte Ltd., |
| Year of publication | ©2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (224 p.) : |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Dynamical systems and mathematical billiards -- Billiards in elementary mathematics -- Billiards and geometry -- Billiards and physics. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "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."-- |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.worldscientific.com/worldscibooks/10.1142/11162#t=toc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 588 ## - | |
| -- | Title from web page (viewed December 4, 2018). |
| 520 ## - SUMMARY, ETC. | |
| -- | Publisher's website. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Differentiable dynamical systems. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Billiards. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electronic books. |
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