الصفحة 1
الصفحة 1
Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories
"Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects.
From Stochastic Calculus to Mathematical Finance : The Shiryaev Festschrift
The Festschrift is a collection of papers, including several surveys, written by his former students, co-authors and colleagues. These reflect the wide range of scientific interests of the teacher and his Moscow school. The topics range from the disorder problems to stochastic calculus and their applications to mathematical economics and finance. A full biobibliography of Shiryaev's works is included. The book represents the modern state of art of many aspects of a quickly maturing theory and will be an essential source and reading for researchers in this area.
Economic Sociodynamics
A groundbreaking study of rational principles for the modern state to follow in promoting economic and social progress. Explains why more thoughtful and well meaning government intervention is a must today, not irrational passivity. Highly sophisticated but exceedingly pleasant reading. In this ambitious book the authors challenge mainstream economic theory by reconsidering the principle of individualism as its foundation.They refer to that version which fails to recognize the existence of the interests of society as such, and does thus exclude the role of the state as an independent market player seeking to realize these interests. The outcome is a new theoretical concept called "Economic Sociodynamics". The book reveals in detail the said concept, in particular its key notions of the sociodynamic multiplier and the rational behavior of the state.
Collective Action in the Formation of Pre-Modern States
This book explores a collective action perspective on the formation of pre-modern states, but does not only promote a new mode of theoretical understanding. Rather, it subjects collective action theory to a methodologically rigorous evaluation using a systematic cross-cultural analysis of historical, ethnographic, and archaeological data drawn from a world-wide sample of societies. These data provide strong support for the theory while pointing the way to a more complex and nuanced approach to collective action, uniting theories of pre-modern and modern states.
Magazines, Tourism, and Nation-Building in Mexico
This book discusses the relationship between periodicals, tourism, and nation-building in Mexico. It enquires into how magazines, a staple form of the promotional apparatus of tourism since its inception, articulated an imaginative geography of Mexico at a time when that industry became a critical means of economic recovery and political stability after the Revolution. Notwithstanding their vogue, popularity, reach, and close affiliations to commerce and state over several decades, magazines have not received any sustained critical attention in the scholarship on that period.
