Description

Book Synopsis
Presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open. The hypotheses range from geometry and topology to combinatorics to algebra and number theory.

Table of Contents
  • Introduction
  • The statistics of topology and algebra
  • Combinatorial complexity and randomness
  • Random permutations of Young diagrams of their cycles
  • The geometry of Frobenius numbers for additive semigroups
  • Bibliography

Experimental Mathematics

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    A Paperback by V.i. Arnold, Dmitry Fuchs, Mark Saul

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      Book details

      Publisher American Mathematical Society
      Published 8/30/2015 12:00:00 AM
      ISBN-13 9780821894163
      978-0821894163
      ISBN-10 0821894161
      Also in:
      Mathematics Applied mathematics Combinatorics and graph theory

      Description

      Book Synopsis
      Presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open. The hypotheses range from geometry and topology to combinatorics to algebra and number theory.

      Table of Contents
      • Introduction
      • The statistics of topology and algebra
      • Combinatorial complexity and randomness
      • Random permutations of Young diagrams of their cycles
      • The geometry of Frobenius numbers for additive semigroups
      • Bibliography

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