Without expecting any particular background of the reader, this book covers graphs and relations, sequences and limits, partial derivatives, optimization, vectors, and matrix algebra. Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with copious examples and exercises that will foster depth of understanding.

Written by two leading experts in the field, this book explores the 'many-body' methods that have become the dominant approach in determining molecular structure, properties and interactions. With a tight focus on the highly popular Many-Body Perturbation Theory (MBPT) and Coupled-Cluster theories (CC), the authors present a simple, clear, unified approach to describe the mathematical tools and diagrammatic techniques employed. Using this book the reader will be able to understand, derive and confidently implement relevant algebraic equations for current and even new multi-reference CC methods. Hundreds of diagrams throughout the book enhance reader understanding through visualization of computational procedures and extensive referencing allows further exploration of this evolving area. With an extensive bibliography and detailed index, this book will be suitable for graduates and researchers within quantum chemistry, chemical physics and atomic, molecular and solid-state physics.

K-theory has helped convert the theory of operator algebras from a simple branch of functional analysis to a subject with broad applicability throughout mathematics, especially in geometry and topology, and many mathematicians of diverse backgrounds must learn the essential parts of the theory. This book is the only comprehensive treatment of K-theory for operator algebras, and is intended to help students, non-specialists, and specialists learn the subject. This book develops K-theory, the theory of extensions, and Kasparov's bivariant KK-theory for C*-algebras. Special topics covered include the theory of AF algebras, axiomatic K-theory, the Universal Coefficient Theorem, and E-theory. Although the book is technically complete, motivation and intuition are emphasized. Many examples and applications are discussed. This first paperback printing has been revised and expanded and contains an updated reference list.

Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

The extremely powerful technique of molecular dynamics simulation involves solving the classical many-body problem in contexts relevant to the study of matter at the atomistic level. Since there is no alternative approach capable of handling this extremely broad range of problems at the required level of detail, molecular dynamics methods have proved themselves indispensable in both pure and applied research. This book is a blend of tutorial and recipe collection, providing both an introduction to the subject for beginners and a reference manual for the more experienced practitioner. It is organized as a series of case studies that take the reader through each of the steps from formulating the problem, developing the necessary software, and then using the programs to make actual measurements. The second edition of the book includes a substantial amount of new material as well as completely rewritten software.

Long considered a classic, A History of Islamic Societies is now that much more useful a reference for general readers and scholars alike. Widely praised for its balanced and comprehensive account, Ira Lapidus' work has been fully revised in its coverage of each country and region of the Muslim world through 2001. It incorporates the origins and evolution of Islamic societies and brings into focus the historical processes that gave shape to the manifold varieties of contemporary Islam. The concluding chapters survey the growing influence of the Islamist movements within national states and in their transnational or global dimensions, including the Islamic revival, Islamist politics and terrorism. An updated discussion of the roles of women in Islamic societies is added, with new sections about Afghanistan and Muslims in Europe, America, and the Philippines.

An account of contemporary theater practice in its most collaborative and dynamic form, this 2006 book was the first book-length study of two of the most important American theater artists at the start of the twenty-first century. For twenty-five years, Mee and Bogart have pursued independent but sympathetic visions of theater rooted in the avant-garde of the 1960s, guided by a view of art and culture as a perpetual process of 'remaking'. Since 1992, the SITI Company has pioneered the unique combination of three training practices as the basis for collective creations that layer language, gesture, and image in a complex and often stunning fashion. This study provides both a general introduction to Mee's unorthodox playwriting, Bogart's innovative directing, and the ensemble work of the SITI Company and an in-depth case study of their work together on bobrauschenbergamerica, a piece inspired by the art of Robert Rauschenberg.

http://www.cambridge.org/cn/academic/subjects/archaeology/archaeology-asia-sub-saharan-africa-and-pacific/ancient-china-and-its-eurasian-neighbors-artefacts-and-cross-cultural-interactions-3000-700-bce?format=HB#vjJit9fv0Spej6Vl.97
This volume examines the role of objects in the region north of early dynastic state centers, at the intersection of Ancient China and Eurasia, a large area that stretches from Xinjiang to the China Sea, from c.3000 BCE to the mid-eighth century BCE. This area was a frontier, an ambiguous space that lay at the margins of direct political control by the metropolitan states, where local and colonial ideas and practices were reconstructed transculturally. These identities were often merged and displayed in material culture. Types of objects, styles, and iconography were often hybrids or new to the region, as were the tomb assemblages in which they were deposited and found. Patrons commissioned objects that marked a symbolic vision of place and person and that could mobilize support, legitimize rule, and bind people together. Through close examination of key artifacts, this book untangles the considerable changes in political structure and cultural makeup of ancient Chinese states and their northern neighbors.
In this book, Inner Asia is studied for its own sake, not as an adjunct of China, challenging the China-centered view of ancient Inner Asia
Allows a view of material culture in action - objects, whoever designed them, were chosen for a purpose which gives a fresh view to the study of objects and their agency, especially in mortuary settings
Uses a new way of describing human groupings, such as technoiscapes, regionscapes, lineagescapes, and individualscapes, which insists on a re-evaluation of archaeological cultures as a defining category of human grouping

Observation and Image-Making in Gothic Art examines the working practices of medieval artists and challenges many assumptions about pre-modern science and art, especially the notion that descriptive art is a natural response to scientific empiricism. Late medieval images range from vividly specific to barely identifiable, but descriptiveness in the medieval context rarely correlates with a modern notion of function. Rather, scientific illustrations are often less descriptive than sacred art, and thus an inversion of the relationship between art and science. In this study, Jean Givens defines late medieval visual communication strategies and reveals the various modes of organizing and displaying knowledge. She demonstrates how medieval image making offers new insights into the syntax of visual communication and the function of descriptive art in both sacred and secular contexts.

This lively and engaging book explains the things you have to know in order to read empirical papers in the social and health sciences, as well as the techniques you need to build statistical models of your own. The discussion in the book is organized around published studies, as are many of the exercises. Relevant journal articles are reprinted at the back of the book. Freedman makes a thorough appraisal of the statistical methods in these papers and in a variety of other examples. He illustrates the principles of modelling, and the pitfalls. The discussion shows you how to think about the critical issues - including the connection (or lack of it) between the statistical models and the real phenomena. The book is written for advanced undergraduates and beginning graduate students in statistics, as well as students and professionals in the social and health sciences.

The second volume of The Cambridge History of Capitalism provides an authoritative reference on the spread and impact of capitalism across the world, and the varieties of responses to it. Employing a wide geographical coverage and strong comparative outlook, a team of leading scholars explore the global consequences that capitalism has had for industry, agriculture and trade, along with the reactions by governments, firms and markets. The authors consider how World War I halted the initial spread of capitalism, but global capitalism arose again by the close of the twentieth century. They explore how the responses of labor movements, compounded by the reactions by political regimes, whether defensive or proactive, led to diverse military and welfare consequences. Beneficial results eventually emerged, but the rise and spread of capitalism has not been easy or smooth. This definitive volume will have widespread appeal amongst historians, economists and political scientists.

This book is an up-to-date introduction to univariate spectral analysis at the graduate level, which reflects a new scientific awareness of spectral complexity, as well as the widespread use of spectral analysis on digital computers with considerable computational power. The text provides theoretical and computational guidance on the available techniques, emphasizing those that work in practice. Spectral analysis finds extensive application in the analysis of data arising in many of the physical sciences, ranging from electrical engineering and physics to geophysics and oceanography. A valuable feature of the text is that many examples are given showing the application of spectral analysis to real data sets. Special emphasis is placed on the multitaper technique, because of its practical success in handling spectra with intricate structure, and its power to handle data with or without spectral lines. The text contains a large number of exercises, together with an extensive bibliography.

The origin of life from inanimate matter has been the focus of much research for decades, both experimentally and philosophically. Luisi takes the reader through the consecutive stages from prebiotic chemistry to synthetic biology, uniquely combining both approaches. This book presents a systematic course discussing the successive stages of self-organisation, emergence, self-replication, autopoiesis, synthetic compartments and construction of cellular models, in order to demonstrate the spontaneous increase in complexity from inanimate matter to the first cellular life forms. A chapter is dedicated to each of these steps, using a number of synthetic and biological examples. With end-of-chapter review questions to aid reader comprehension, this book will appeal to graduate students and academics researching the origin of life and related areas such as evolutionary biology, biochemistry, molecular biology, biophysics and natural sciences.

This book considers river basins and drainage networks in the light of their scaling and multi-scaling properties, and the dynamics responsible for their development. The hydrology of river basins, and prediction of their growth, demands knowledge of a range of temporal and spatial scales. The core of Fractal River Basins is the search for the hidden order of these temporal and spatial variabilities in river basins, despite variations in size, climate and geology. The commonality of branching networks to other natural phenomena will make this book applicable to a wide range of disciplines. Hydrologists and geomorphologists will find that this book opens up the important topic of the fractal structure of networks at an accessible level. Mathematicians and physicists will appreciate the application of the theory to this aspect of the earth sciences. Comprehensive, well illustrated and with many real-world examples Fractal River Basins, will be useful to researchers and students alike.

As we rely increasingly on digital resources, and libraries discard large parts of their older collections, what is our responsibility to preserve 'old books' for the future? David McKitterick's lively and wide-ranging study explores how old books have been represented and interpreted from the eighteenth century to the present day. Conservation of these texts has taken many forms, from early methods of counterfeiting, imitation and rebinding to modern practices of microfilming, digitisation and photography. Using a comprehensive range of examples, McKitterick reveals these practices and their effects to address wider questions surrounding the value of printed books, both in terms of their content and their status as historical objects. Creating a link between historical approaches and the technologies of the future, this book furthers our understanding of old books and their significance in a world of emerging digital technology.

This is a comprehensive and fully documented study of Chinese bureaucracy during the Han period, when many of the basic lines of Chinese government practice were laid down. It is also more detailed and wider in scope than similar works on other periods of Chinese history. The book covers the time from 202 BC to AD 9 and from AD 25 to 189, analysing and describing the central and local administrations, the army, official salaries, civil service recruitment and power in government. Professor Bielenstein translates all Chinese official titles and includes alphabetical lists of these titles with their English and Chinese equivalents. Thus his book will serve both as a description for the names of offices at every level of government. The book will be of interest to all scholars of Chinese history, as well as to experts in other fields of institutional history, government and political science.

David A. Freedman presents here a definitive synthesis of his approach to causal inference in the social sciences. He explores the foundations and limitations of statistical modeling, illustrating basic arguments with examples from political science, public policy, law, and epidemiology. Freedman maintains that many new technical approaches to statistical modeling constitute not progress, but regress. Instead, he advocates a 'shoe leather' methodology, which exploits natural variation to mitigate confounding and relies on intimate knowledge of the subject matter to develop meticulous research designs and eliminate rival explanations. When Freedman first enunciated this position, he was met with scepticism, in part because it was hard to believe that a mathematical statistician of his stature would favor 'low-tech' approaches. But the tide is turning. Many social scientists now agree that statistical technique cannot substitute for good research design and subject matter knowledge. This book offers an integrated presentation of Freedman's views.

Domestic lawyers are, above all, officers of the court. By contrast, the public international lawyer representing states before international tribunals is torn between loyalties to the state and loyalties to international law. As the stakes increase for the state concerned, the tension between these loyalties can become acute and lead to practices that would be condemned in developed national legal systems but have hitherto been ignored by international tribunals in international legal scholarship. They are the 'dirty stories' of international law. This detailed and contextually sensitive presentation of eight important cases before a variety of public international tribunals dissects some of the reasons for the resort to fraudulent evidence in international litigation and the profession's baffling reaction. Fraudulent evidence is resorted to out of greed, moral mediocrity or inherent dishonesty. In public international litigation, by contrast, the reasons are often more complex, with roots in the dynamics of international politics.

This volume provides a history of the concepts, practices, institutions, and ideologies of social sciences (including behavioural and economic sciences) since the eighteenth century. It offers original, synthetic accounts of the historical development of social knowledge, including its philosophical assumptions, its social and intellectual organization, and its relations to science, medicine, politics, bureaucracy, philosophy, religion, and the professions. Its forty-two chapters include inquiries into the genres and traditions that formed social science, the careers of the main social disciplines (psychology, economics, sociology, anthropology, political science, geography, history, and statistics), and international essays on social science in Eastern Europe, Asia, Africa, and Latin America. It also includes essays that examine the involvement of the social sciences in government, business, education, culture, and social policy. This is a broad cultural history of social science, which analyzes from a variety of perspectives its participation in the making of the modern world.