How Long to Read Lectures on Sphere Arrangements – the Discrete Geometric Side

How Long Does it Take to Read Lectures on Sphere Arrangements – the Discrete Geometric Side?

It takes the average reader 2 hours and 58 minutes to read Lectures on Sphere Arrangements – the Discrete Geometric Side by Károly Bezdek

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

Description

This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains more than 40 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for a one-semester advanced undergraduate or graduate level course. The core part of this book is based on three lectures given by the author at the Fields Institute during the thematic program on “Discrete Geometry and Applications” and contains four core topics. The first two topics surround active areas that have been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection to number theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres, is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major topic of this book can be found under the sections on ball-polyhedra that study the possibility of extending the theory of convex polytopes to the family of intersections of congruent balls. This section of the text is connected in many ways to the above-mentioned major topics and it is also connected to some other important research areas as the one on coverings by planks (with close ties to geometric analysis). This fourth core topic is discussed under covering balls by cylinders.

How long is Lectures on Sphere Arrangements – the Discrete Geometric Side?

Lectures on Sphere Arrangements – the Discrete Geometric Side by Károly Bezdek is 175 pages long, and a total of 44,625 words.

This makes it 59% the length of the average book. It also has 55% more words than the average book.

How Long Does it Take to Read Lectures on Sphere Arrangements – the Discrete Geometric Side Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 3 minutes to read Lectures on Sphere Arrangements – the Discrete Geometric Side aloud.

What Reading Level is Lectures on Sphere Arrangements – the Discrete Geometric Side?

Lectures on Sphere Arrangements – the Discrete Geometric Side 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.

Where Can I Buy Lectures on Sphere Arrangements – the Discrete Geometric Side?

Lectures on Sphere Arrangements – the Discrete Geometric Side by Károly Bezdek 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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