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Vertex Algebras and Algebraic Curves
Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras are fast becoming ubiquitous in many areas of modern mathematics, with applications to representation theory, algebraic geometry, the theory of finite groups, modular functions, topology, integrable systems, and combinatorics. This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possib...
My Divorce Journal
"A top-of-list guidebook for separating and divorcing parents." -Barbara Fidler, Ph.D., Clinical Developmental Psychologist Anyone whose marriage or common-law relationship has ended usually feels bewildered and adrift. "Just what on earth happened to me and how can I make sure it doesn't happen again?" they wonder. Both authors have personally experienced divorce and its repercussions and have gone on to find love again. Building on David's legal knowledge and Pat's personal experiences, they look at divorce from both sides of the desk: a divorce lawyer seated opposite a distraught client. This book walks through the five recovery stages that follow relationship breakdown: reacting to uphea...
Love and Math
An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the hea...
Understanding Molecular Simulation
Understanding Molecular Simulation: From Algorithms to Applications explains the physics behind the "recipes" of molecular simulation for materials science. Computer simulators are continuously confronted with questions concerning the choice of a particular technique for a given application. A wide variety of tools exist, so the choice of technique requires a good understanding of the basic principles. More importantly, such understanding may greatly improve the efficiency of a simulation program. The implementation of simulation methods is illustrated in pseudocodes and their practical use in the case studies used in the text. Since the first edition only five years ago, the simulation worl...
International Aspects of Fiscal Policies
This volume brings together nine papers from a conference on international macroeconomics sponsored by the NBER in 1985. International economists as well as graduate students in the fields of global monetary economics, finance, and macroeconomics will find this an outstanding contribution to current research. It includes two commentaries for each paper, written by experts in the field, and Frenkel's detailed introduction, which serves as a reader's guide to the arguments made, the models employed, and the issues raised by each contributor. The studies analyze national fiscal policies within the context of the international economic order. Malcolm D. Knight and Paul R. Masson use an empirical...
The Regionalization of the World Economy
Regional economic arrangements such as free trade areas (FTAs), customs unions, and currency blocs, have become increasingly prevalent in the world economy. Both pervasive and controversial, regionalization has some economists optimistic about the opportunities it creates and others fearful that it may corrupt fragile efforts to encourage global free trade. Including both empirical and theoretical studies, this volume addresses several important questions: Why do countries adopt FTAs and other regional trading arrangements? To what extent have existing regional arrangements actually affected patterns of trade? What are the welfare effects of such arrangements? Several chapters explore the economic effects of regional arrangements on patterns of trade, either on price differentials or via the gravity model on bilateral trade flows. In addition, this book examines the theoretical foundation of the gravity model. Making extensive use of the gravity model of bilateral trade, several chapters explore the economic effects of regional arrangements. In addition, this book examines the theoretical foundation of the gravity model.
Langlands Correspondence for Loop Groups
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Jewish Magic and Superstition
Alongside the formal development of Judaism from the eleventh through the sixteenth centuries, a robust Jewish folk religion flourished—ideas and practices that never met with wholehearted approval by religious leaders yet enjoyed such wide popularity that they could not be altogether excluded from the religion. According to Joshua Trachtenberg, it is not possible truly to understand the experience and history of the Jewish people without attempting to recover their folklife and beliefs from centuries past. Jewish Magic and Superstition is a masterful and utterly fascinating exploration of religious forms that have all but disappeared yet persist in the imagination. The volume begins with ...
