It takes the average reader 3 hours and 10 minutes to read Ergodic Theory of Numbers by Karma Dajani
Assuming a reading speed of 250 words per minute. Learn more
Ergodic Theory of Numbers looks at the interaction between two fields of mathematics: number theory and ergodic theory (as part of dynamical systems). It is an introduction to the ergodic theory behind common number expansions, like decimal expansions, continued fractions, and many others. However, its aim does not stop there. For undergraduate students with sufficient background knowledge in real analysis and graduate students interested in the area, it is also an introduction to a "dynamical way of thinking". The questions studied here are dynamical as well as number theoretical in nature, and the answers are obtained with the help of ergodic theory. Attention is focused on concepts like measure-preserving, ergodicity, natural extension, induced transformations, and entropy. These concepts are then applied to familiar expansions to obtain old and new results in an elegant and straightforward manner. What it means to be ergodic and the basic ideas behind ergodic theory will be explained along the way. The subjects covered vary from classical to recent, which makes this book appealing to researchers as well as students.
Ergodic Theory of Numbers by Karma Dajani is 190 pages long, and a total of 47,500 words.
This makes it 64% the length of the average book. It also has 58% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 19 minutes to read Ergodic Theory of Numbers aloud.
Ergodic Theory of Numbers is suitable for students ages 10 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.
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