Nadirashvili, Tkachev, and Vladut present students, academics, and mathematicians with a collection of applications of noncommutative and nonassociative algebras, used to construct unusual solutions to nonlinear elliptic partial differential equations of the second order. The seven chapters in the volume are dedicated to nonlinear elliptic equations, division algebras, exceptional lie groups, and calibrations, Jordan algebras and the Cartan isoparametric cubics, solutions from trialities and isoparametric forms, cubic minimal cones, and singular solutions in calibrated geometrics. Nikolai Nadirashvili is a faculty member of the University of Aix-Marseille, France. Vladimir Tkachev is a faculty member of the University of Linköpings, Sweden. Serge Vladut is a faculty member of Institut de Mathématiques de Luminy, France. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)