This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras, such as algebras of representative functions on groups and enveloping algebras of Lie algebras, as explored in the works of Borel, Cartier, Hopf and others in the 1940s and 50s.The modern and systematic treatment uses the approach of natural operations, illuminating the structure of Hopf algebras by means of their endomorphisms and their combinatorics. Emphasizing notions such as pseudo-coproducts, characteristic endomorphisms, descent algebras and Lie idempotents, the text also covers the important case of enveloping algebras of pre-Lie algebras. A wide range of applications are surveyed, highlighting the main ideas and fundamental results. Suitable as a textbook for masters or doctoral level programs, this book will be of interest to algebraists and anyone working in one of the fields of application of Hopf algebras.

Numerous well-presented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology. Several papers on computational and applied mathematics such as wavelet analysis, quantum mechanics, piecewise linear modeling, cosmological models of super symmetry, fluid dynamics, interpolation theory, optimization, ergodic theory and games theory are also presented.

The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent.

More than ten years after a first meeting in 1989 between number theorists and physicists at the Centre de Physique des Houches, a second 2-week event focused on the broader interface of number theory, geometry, and physics.

This book is the result of that exciting meeting, and collects, in 2 volumes, extended versions of the lecture courses, followed by shorter texts on special topics, of eminent mathematicians and physicists.

The present volume has three parts: Random matrices, Zeta functions, Dynamical systems.

The companion volume is subtitled: On Conformal Field Theories, Discrete Groups and Renormalization and will be published in 2006 (Springer, 3-540-30307-3).

The Poplars housing development in suburban Paris is home to what one resident called the "Little-Middles" - a social group on the tenuous border between the working- and middle- classes. In the 1960s The Poplars was a site of upward social mobility, which fostered an egalitarian sense of community among residents. This feeling of collective flourishing was challenged when some residents moved away, selling their homes to a new generation of upwardly mobile neighbors from predominantly immigrant backgrounds. This volume explores the strained reception of these migrants, arguing that this is less a product of racism and xenophobia than of anxiety about social class and the loss of a sense of community that reigned before.

This book contains fifteen articles by eminent specialists in the theory of completely integrable systems, bringing together the diverse approaches to classical and quantum integrable systems and covering the principal current research developments. In the first part of the book, which contains seven papers, the emphasis is on the algebro-geometric methods and the tau-functions. Essential use of Riemann surfaces and their theta functions is made in order to construct classes of solutions of integrable systems. The five articles in the second part of the book are mainly based on Hamiltonian methods, illustrating their interplay with the methods of algebraic geometry, the study of Hamiltonian actions, and the role of the bihamiltonian formalism in the theory of soliton equations. The two papers in the third part deal with the theory of two-dimensional lattice models, in particular with the symmetries of the quantum Yang-Baxter equation. In the fourth and final part, the integrability of the hierarchies of Hamiltonian systems and topological field theory are shown to be strongly interrelated. In the overview that introduces the articles, Bennequin surveys the evolution of the subject from Abel to the most recent developments, and analyzes the important contributions of J.-L. Verdier to whose memory the book is dedicated. This book will be a valuable reference for mathematicians and mathematical physicists.

The first compilation of writings by a master of photography.
One of the leading lights in photography of the twentieth century, Henri Cartier-Bresson is also a shrewd observer and critic. His writings on photography and photographers, which have appeared sporadically over the past forty-five years, are gathered here for the first time. Several have never before appeared in English.
"The Mind's Eye" features Cartier-Bresson's famous text on "the decisive moment" as well as his observations on Moscow, Cuba, and China during turbulent times, which ring with the same immediacy and visual intensity that he brings to his photography.
Cartier-Bresson remains as direct and insightful as ever in his writings. His commentary on photographer friends he has known-including Robert Capa, Andre Kertesz, Ernst Haas, and Sarah Moon-reveal the impassioned and compassionate vision for which Cartier-Bresson is beloved.

The present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics, and its relationships to Theoreti cal Physics. The first part is mathematically oriented; it deals mostly with ellip tic curves, modular forms, zeta functions, Galois theory, Riemann surfaces, and p-adic analysis. The second part reports on matters with more direct physical interest, such as periodic and quasiperiodic lattices, or classical and quantum dynamical systems. The contribution of each author represents a short self-contained course on a specific subject. With very few prerequisites, the reader is offered a didactic exposition, which follows the author's original viewpoints, and often incorpo rates the most recent developments. As we shall explain below, there are strong relationships between the different chapters, even though every single contri bution can be read independently of the others. This volume originates in a meeting entitled Number Theory and Physics, which took place at the Centre de Physique, Les Houches (Haute-Savoie, France), on March 7 - 16, 1989. The aim of this interdisciplinary meeting was to gather physicists and mathematicians, and to give to members of both com munities the opportunity of exchanging ideas, and to benefit from each other's specific knowledge, in the area of Number Theory, and of its applications to the physical sciences. Physicists have been given, mostly through the program of lectures, an exposition of some of the basic methods and results of Num ber Theory which are the most actively used in their branch."

This volume explores the lives and work of those who are kept out of poverty by their employment, but who occupy tenuous social positions and subaltern jobs. Presenting a score of household portraits - urban, suburban, and rural - the authors examine what it means to 'get by' in France today, considering the material and symbolic resources that these households can muster, and the practices that give meaning to their lives. With attention to their aspirations and disappointments - and their desire to be 'like everyone else' in a supposedly egalitarian society that nonetheless gives them little credit for their effort - this book offers a sociological interpretation of their situations, offering new insights into what it means to be 'working class' in a 21st-century post-industrial society. Combining statistical analyses with ethnographically-based examinations of how changes in the structure of the employment market relate to plans for upward mobility, Subaltern Workers in Contemporary France sheds light on the ways in which class identity - along with all its associated practices, tastes, and aspirations - has changed since the sociological classics on the working classes were published over half a century ago. As such, this book will appeal to sociologists with interests in the sociology of the family, social class, and the sociology of work.

Multimodal and Digital Creative Writing Pedagogies offers a breadth of expertise and informed pedagogies on teaching multimodal and digital creative writing in the college classroom. This book presents engaging methods to inspire student writing beyond traditional, print-based texts. The contributors in this volume, all experienced creative writing instructors, share indispensable strategies for incorporating multimodal projects, including video game poetry, fan fiction authorship, digital storytelling, podcasting, online literary publications, creative installations, writing with image and sound, and multisensory approaches to creative writing. This collection also tackles matters of accessibility and inclusion vis-à-vis technology in the classroom and examines the challenges and rewards of incorporating novel approaches to creative writing. Ideal for instructors new to teaching multimodal creative writing--and for those who have experience and are looking to expand their teaching.