This book gives an up-to-date introduction to the structure, physical properties and applications of quasicrystalline alloys. It covers quasiperiodic tilings and the determination and modelling of the atomic structure of quasicrystals. The electronic properties, determined from measurements of the partial electronic density of states and the calculation of the electronic structure, play a key role in this introduction, as does an extensive discussion of the determination and simulation of the atomic dynamics. For the application of these aperiodic crystals, defects are a critical issue. Thus the book also presents a detailed treatement of the study of defects in quasicrystals by high resolution electron microscopy and ion channeling, as well as computer simulations of defects and fracture in decorated tilings.

The book provides an introduction to all aspects of the physics of quasicrystals. The chapters, each written by an expert in this field, cover quasiperiodic tilings and the modeling of the atomic structure of quasicrystals. The electronic density of states and the calculation of the electronic structure play a key role in this introduction, as does an extensive discussion of the atomic dynamics. The study of defects in quasicrystals by high resolution electron microscopy and the computer simulations of defects and fracture in decorated tilings are important subjects for the application of these aperiodic crystals.

A working knowledge of differential forms so strongly illuminates the calculus and its developments that it ought not be too long delayed in the curriculum. On the other hand, the systematic treatment of differential forms requires an apparatus of topology and algebra which is heavy for beginning undergraduates. Several texts on advanced calculus using differential forms have appeared in recent years. We may cite as representative of the variety of approaches the books of Fleming [2], (1) Nickerson-Spencer-Steenrod [3], and Spivak [6]. . Despite their accommodation to the innocence of their readers, these texts cannot lighten the burden of apparatus exactly because they offer a more or less full measure of the truth at some level of generality in a formally precise exposition. There. is consequently a gap between texts of this type and the traditional advanced calculus. Recently, on the occasion of offering a beginning course of advanced calculus, we undertook the expe- ment of attempting to present the technique of differential forms with minimal apparatus and very few prerequisites. These notes are the result of that experiment. Our exposition is intended to be heuristic and concrete. Roughly speaking, we take a differential form to be a multi-dimensional integrand, such a thing being subject to rules making change-of-variable calculations automatic. The domains of integration (manifolds) are explicitly given "surfaces" in Euclidean space. The differentiation of forms (exterior (1) Numbers in brackets refer to the Bibliography at the end.

The onset of the Cold War in the 1940s and 1950s precipitated the exile of many U.S. writers, artists, and filmmakers to Mexico. Rebecca M. Schreiber illuminates the work of these cultural exiles in Mexico City and Cuernavaca and reveals how their artistic collaborations formed a vital and effective culture of resistance. As Schreiber recounts, the first exiles to arrive in Mexico after World War II were visual artists, many of them African-American, including Elizabeth Catlett, Charles White, and John Wilson. Individuals who were blacklisted from the Hollywood film industry, such as Dalton Trumbo and Hugo Butler, followed these artists, as did writers, including Willard Motley. Schreiber examines the artists' work with the printmaking collective Taller de Grafica Popular and the screenwriters' collaborations with filmmakers such as Luis Bunuel, as well as the influence of the U.S. exiles on artistic and political movements. The Cold War culture of political exile challenged American exceptionalist ideology and, as Schreiber reveals, demonstrated the resilience of oppositional art, literature, and film in response to state repression.