Topics in this title include: logic, combinatorics, and number theory, Algebra and algebraic geometry; analysis; geometry and topology; differential equations and applied mathematics; probability and mathematical physics.
Includes twelve articles that survey some of the open questions on the mathematics of aperiodic order. This book describes the geometry of aperiodic point sets... Læs mere
Presents twenty papers on different aspects of modern analysis, including analytic and computational number theory, symbolic and numerical computation,... Læs mere
Contains the proceedings of the 1999 International Conference on... Læs mere
Proposes a method of asymptotic analysis of solutions that can be applied in the case of the so-called 'smoothed shock waves', ie, nonlinear waves that vary fast... Læs mere
The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solutions of a linear elliptic partial differential operator on a manifold in terms of... Læs mere
Computational geometry is a borderline subject related to pure and applied mathematics, computer science, and engineering. This... Læs mere
Presents research that is unfolding at the interface between mathematics and physics. This book presents an overview that highlight the deep interplay among stochastic processes, mathematical physics, and geometry.
Presents an introduction on spectral and inverse spectral theory of Jacobi operators (second order symmetric difference operators) and... Læs mere
Treats such topics as metric extensions, topological conjugacy, locally convex spaces, quotient measures, statistical physics, harmonic functions, and the Laplace-Levy operator.
Addresses Lie groups, complete spaces, the Cauchy problem for Laplace's equation, metric extensions, the Klein-Gordon equation, elliptic operators, and multiple repetitions of games.
Focuses on topics in algebra, including wreath products, group representations, dense extensions, nilpotency of ideals, and Kuros chains. This book also contains a chronology of the life of Aleksandr Gennadievic Kuros.