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Riemann Surfaces and Algebraic Curves
Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes.
The Doctrine of Chances
Three centuries ago Montmort and De Moivre published two books on probability theory emphasizing its most important application at that time, games of chance. This book, on the probabilistic aspects of gambling, is a modern version of those classics.
Combinatorial Algebraic Geometry
This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.
Algebraic Geometry: Salt Lake City 2015
This is Part 2 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes ...
Understanding China Today
This book covers numerous areas and aspects of Chinese domestic and external politics and policies, the Chinese economy, Chinese society and culture, and Chinese literature and history. It is divided into four sections, the first of which focuses on China’s place in world politics, including its relations with the European Union, Russia, India, Japan, the United States, and Africa. The second section among others addresses issues and areas related to China’s role in and impact on the international economy, the strategies and positioning of Chinese multinational companies investing in Europe, the problems and challenges of China's banking and financial systems and China's foreign economic...
Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory
This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to creat...
TRIPS and Developing Countries
TRIPS reflects the dominant view that enforcing strong intellectual property rights is necessary to solve problems of trade and development. The global ensemble of authors in this collection ask, how can TRIPS mature further into an institution that su
International Business and Security
In the context of intensifying nationalism and protectionism and a reconfiguration of the global value chains, the world’s leading economies find themselves confronted with significant challenges. To address these issues, this book builds on conceptual and empirical analysis and makes a case for interdisciplinary research that connects International Business (IB) and International Security (IS) domains. Employing the concept of geostrategy and using multi-level approaches to explain the interaction among various players in IB and IS, the authors examine the implications that IB and IS disciplines provide to each other. This book is a valuable resource for students and researchers interested in international business, international relations, international security, and international political economy and answers the growing call for an interdisciplinary research approach to promoting critical thinking in the rapidly evolving international business and security environment.
Algebraic Geometry
This volume contains research and expository papers by some of the speakers at the 2005 AMS Summer Institute on Algebraic Geometry. Numerous papers delve into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties.
Minorities in the Post-Soviet Space Thirty Years After the Dissolution of the USSR
When the Soviet Union broke apart in 1991, the Russian Federation and the newly independent republics of the Baltics, the Caucasus and Central Asia engaged in redefining their national identity in a challenging regional and global context. The stances and policies towards the minorities living in these countries became part of the striving towards national independence and identity formation. Despite vastly different post-Soviet nation-building trajectories, the development and implementation of state policies towards minorities had similar relevance and importance across the region. Thirty years after the end of the USSR what is the situation of minorities and minority issues in the countri...
