Computing the Continuous Discretely

Computing the Continuous Discretely pdf epub mobi txt 电子书 下载 2025

出版者:Springer
作者:Matthias Beck
出品人:
页数:244
译者:
出版时间:2007-07-01
价格:USD 49.95
装帧:Hardcover
isbn号码:9780387291390
丛书系列:Undergraduate Texts in Mathematics
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  • 數學 
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This textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. We encounter here a friendly invitation to the field of "counting integer points in polytopes", and its various connections to elementary finite Fourier analysis, generating functions, the Frobenius coin-exchange problem, solid angles, magic squares, Dedekind sums, computational geometry, and more. With 250 exercises and open problems, the reader feels like an active participant.

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