For almost two decades, Sidney Coleman has been giving review lectures on frontier topics in theoretical high-energy physics at the International School of Subnuclear Physics held each year at Erice, Sicily. This volume is a collection of some of the best of these lectures. To t…
Douglas Hofstadter's book is concerned directly with the nature of "maps' or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical s…
Algebraic inequalities: new vistas
by Andreescu, Titu, Saul, Mark
fromMSRI mathematical circles library
"The concept of symmetry is inherent to modern science, and its evolution has a complex history that richly exemplifies the dynamics of scientific change. This study is based on primary sources, presented in context: the authors examine closely the trajectory of the concept in t…
The authors consider indecomposable degree $n$ covers of Riemann surfaces with monodromy group an alternating or symmetric group of degree $d$. They show that if the cover has five or more branch points then the genus grows rapidly with $n$ unless either $d = n$ or the curves ha…
The symmetries of things
by Conway, John Horton, Burgiel, Heidi, Goodman-Strauss, Chaim
The symmetries of things
by Conway, John Horton, Burgiel, Heidi, Goodman-Strauss, Chaim