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Game Theory
An exciting new edition of the popular introduction to game theory and its applications The thoroughly expanded Second Edition presents a unique, hands-on approach to game theory. While most books on the subject are too abstract or too basic for mathematicians, Game Theory: An Introduction, Second Edition offers a blend of theory and applications, allowing readers to use theory and software to create and analyze real-world decision-making models. With a rigorous, yet accessible, treatment of mathematics, the book focuses on results that can be used to determine optimal game strategies. Game Theory: An Introduction, Second Edition demonstrates how to use modern software, such as MapleTM, Math...
Renewing Our Hope
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Nonlinear Analysis, Differential Equations and Control
Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is naturally present and prevalent in dynamical models, and is therefore significant theoretically. This point ...
Arguing Religion
Every day, millions of people fight about religion. Whether with friends, family, or on social media, we expend lots of energy, lots of sharp words, and lots of strong feelings. But very few know how to have a good religious argument a rational, respectful, and productive exchange of differing views. Bishop Robert Barron, one of the leading Catholic figures in the world and among the most active on social media, has enjoyed thousands of fruitful religious arguments. In this book based on talks delivered at Facebook and Google, he explains why religion at its best opens up the searching mind, and how we all believer and unbeliever alike can share better discussions about God.
The Scottish Jurist
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Fully Nonlinear PDEs in Real and Complex Geometry and Optics
The purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equations presented in the school stem from the fields of Conformal Mapping Theory, Differential Geometry, Optics, and Geometric Theory of Several Complex Variables. The school consisted of four courses: Extremal problems for quasiconformal mappings in space by Luca Capogna, Fully nonlinear equations in geometry by Pengfei Guan, Monge-Ampere type equations and geometric optics by Cristian E. Gutiérrez, and On the Levi Monge Ampere equation by Annamaria Montanari.
New Topics in Tuberculosis Research
Tuberculosis, the disease that the World Health Organization has recently declared a global emergency, was supposedly defeated by antibiotics half a century ago. It has returned in a highly contagious and fatal new form that cannot be treated with conventional drugs. Multidrug-resistant TB (MDR-TB), could cause some 10 million deaths over the next decade and is thriving in the overcrowded prisons of the former Soviet Union. The virtual collapse of the world's borders means that refugees, tourists, immigrants, business travellers, and others can spread the TB bacillus very efficiently. London, for example, has experienced a 100 per cent increase in reported cases in the past 10 years. This book covers all aspects of the disease: epidemiology, microbiology, diagnosis, treatment, control and prevention. Leading research is presented from centres around the world.
Controlled Markov Processes and Viscosity Solutions
This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic programming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.
Liberty for All
divIn the opening chapter of this book, Elizabeth Price Foley writes, “The slow, steady, and silent subversion of the Constitution has been a revolution that Americans appear to have slept through, unaware that the blessings of liberty bestowed upon them by the founding generation were being eroded.” She proceeds to explain how, by abandoning the founding principles of limited government and individual liberty, we have become entangled in a labyrinth of laws that regulate virtually every aspect of behavior and limit what we can say, read, see, consume, and do. Foley contends that the United States has become a nation of too many laws where citizens retain precious few pockets of individual liberty. With a close analysis of urgent constitutional questions—abortion, physician-assisted suicide, medical marijuana, gay marriage, cloning, and U.S. drug policy—Foley shows how current constitutional interpretation has gone astray. Without the bias of any particular political agenda, she argues convincingly that we need to return to original conceptions of the Constitution and restore personal freedoms that have gradually diminished over time./DIV
