How Long to Read An Introduction To Mathematical Billiards

How Long Does it Take to Read An Introduction To Mathematical Billiards?

It takes the average reader 3 hours and 47 minutes to read An Introduction To Mathematical Billiards by Rozikov Utkir A

Assuming a reading speed of 250 words per minute. Learn more

Description

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.

How long is An Introduction To Mathematical Billiards?

An Introduction To Mathematical Billiards by Rozikov Utkir A is 224 pages long, and a total of 56,896 words.

This makes it 76% the length of the average book. It also has 70% more words than the average book.

How Long Does it Take to Read An Introduction To Mathematical Billiards Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 10 minutes to read An Introduction To Mathematical Billiards aloud.

What Reading Level is An Introduction To Mathematical Billiards?

An Introduction To Mathematical Billiards is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy An Introduction To Mathematical Billiards?

An Introduction To Mathematical Billiards by Rozikov Utkir A is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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