The 3x+1 problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer x is odd then "multiply by three and add one", while if it is even then "divide by two." The 3x+1 problem asks whether, starting from any posit…
This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla, Spain. The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and a…
The unity of combinatorics
by Brown, Ezra, (Ezra A.), GUY, Richard K.
fromCarus mathematical monographs
The unity of combinatorics
by GUY, Richard K., Brown, Ezra
fromThe Carus mathematical monographs
The unity of combinatorics
by Brown, Ezra, (Ezra A.), GUY, Richard K.
fromCarus mathematical monographs
Hilbert's fifth problem and related topics
by Tao, Terence
fromGraduate studies in mathematics
"In the fifth of his famous list of 23 problems, Hilbert asked if every topological group which was locally Euclidean was in fact a Lie group. Through the work of Gleason, Montgomery-Zippin, Yamabe, and others, this question was solved affirmatively; more generally, a satisfacto…
Hilbert's fifth problem and related topics
by Tao, Terence
fromGraduate studies in mathematics
Expansion in finite simple groups of Lie type
by Tao, Terence
fromGraduate studies in mathematics
Expansion in finite simple groups of Lie type
by Tao, Terence
fromGraduate studies in mathematics
Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory. Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation…