This book presents a logically more complete form of macroscopic Maxwell equations than the conventional ones by applying long wavelength approximation to microscopic nonlocal theory. This scheme requires only one susceptibility tensor describing electric and magnetic polarizati…
Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); inst…
A book consisting of lectures that are part of the series of MSRI workshops and that introduce students and researchers to a portion of the intriguing world of theoretical physics"
"A book consisting of lectures that are part of the series of MSRI workshops and that introduce students and researchers to a portion of the intriguing world of theoretical physics"
"A book consisting of lectures that are part of the series of MSRI workshops and that introduce students and researchers to a portion of the intriguing world of theoretical physics"-- "This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwi…
"Exact solutions to Einstein's equations have been useful for the understanding of general relativity in many respects. They have led to physical concepts as black holes and event horizons and helped to visualize interesting features of the theory. In addition they have been use…
PREFACE; WORKSHOP PROGRAM; LIST OF PARTICIPANTS; CONTENTS; PROPERTIES OF LINEAR INTEGRAL EQUATIONS RELATED TO THE SIX-VERTEX MODEL WITH DISORDER PARAMETER; ALGEBRAIC ASPECTS OF THE CORRELATION FUNCTIONS OF THE INTEGRABLE HIGHER-SPIN XXZ SPIN CHAINS WITH ARBITRARY ENTRIES; CHARAC…
"This Third Edition includes basic modern tools of computational mathematics for boundary value problems and also provides the foundational mathematical material necssary to understand and use the tools. Central to the text is a down-to-earth approach that shows readers how to u…
Discrete Integrable Systems
This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The theory of QRT maps arose from problems in mathematical physics, involving difference equations. The application of QRT maps to these and other proble…
This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The application of QRT maps to problems in the literature, including Poncelet mapping and the elliptic billiard, is examined.
