It takes the average reader 3 hours and 27 minutes to read Four Faces of Number Theory by Kathrin Bringmann
Assuming a reading speed of 250 words per minute. Learn more
This book arose from courses given at an International Summer School organized by the number theory group of the Department of Mathematics at the University of Wurzburg. It consists of four essentially self-contained chapters and presents recent research results highlighting the strong interplay between number theory and other fields of mathematics, such as combinatorics, functional analysis and graph theory. The book is addressed to undergraduate students who wish to discover various aspects of number theory. Remarkably, it demonstrates how easily one can approach frontiers of current research in number theory by elementary and basic analytic methods. Kathrin Bringmann gives an introduction to the theory of modular forms and, in particular, so-called Mock theta-functions, a topic which had been untouched for decades but has obtained much attention in the last years. Yann Bugeaud is concerned with expansions of algebraic numbers. Here combinatorics on words and transcendence theory are combined to derive new information on the sequence of decimals of algebraic numbers and on their continued fraction expansions. Titus Hilberdink reports on a recent and rather unexpected approach to extreme values of the Riemann zeta-function by use of (multiplicative) Toeplitz matrices and functional analysis. Finally, Jurgen Sander gives an introduction to algebraic graph theory and the impact of number theoretical methods on fundamental questions about the spectra of graphs and the analogue of the Riemann hypothesis.
Four Faces of Number Theory by Kathrin Bringmann is 204 pages long, and a total of 51,816 words.
This makes it 69% the length of the average book. It also has 63% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 43 minutes to read Four Faces of Number Theory aloud.
Four Faces of Number Theory 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.
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