It takes the average reader 6 hours and 35 minutes to read Combinatorics, Modeling, Elementary Number Theory: From Basic To Advanced by Ivan V Cherednik
Assuming a reading speed of 250 words per minute. Learn more
This book is mostly based on the author's 25 years of teaching combinatorics to two distinct sets of students: first-year students and seniors from all backgrounds, not just limited to only those majoring in mathematics and physics. The prerequisites are kept to a minimum; essentially, only high school algebra is required. The design is to go from zero knowledge to advanced themes and various applications during a semester of three or three and a half months with quite a few topics intended for research projects and additional reading.This unique book features the key themes of classical introductory combinatorics, modeling (mainly linear), and elementary number theory with a constant focus on applications in statistics, physics, biology, economics, and computer science. These applications include dimers, random walks, binomial and Poisson distributions, games of chance (lottery, dice, poker, roulette), pricing options, population growth, tree growth, modeling epidemic spread, invasion ecology, fission reactors, and networks.A lot of material is provided in the form of relatively self-contained problems, about 135, and exercises, about 270, which are almost always with hints and answers. A systematic introduction to number theory (with complete justifications) is a significant part of the book, including finite fields, Pell's equations, continued fractions, quadratic reciprocity, the Frobenius coin problem, Pisano periods, applications to magic and Latin squares and elements of cryptography. The recurrence relations and modeling play a very significant role, including the usage of Bessel functions for motivated readers. The book contains a lot of history of mathematics and recreational mathematics.
Combinatorics, Modeling, Elementary Number Theory: From Basic To Advanced by Ivan V Cherednik is 392 pages long, and a total of 98,784 words.
This makes it 132% the length of the average book. It also has 121% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 59 minutes to read Combinatorics, Modeling, Elementary Number Theory: From Basic To Advanced aloud.
Combinatorics, Modeling, Elementary Number Theory: From Basic To Advanced 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.
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