Geometry and topology are subjects generally considered to be "pure" mathematics. Recently, however, some of the methods and results in these two areas have found new utility in both wet-lab science (biology and chemistry) and theoretical physics. Conversely, science is influencing mathematics, from posing questions that call for the construction of mathematical models to exporting theoretical methods of attack on long-standing problems of mathematical interest. Based on an AMS Short Course held in January 1992, this book contains six introductory articles on these intriguing new connections. There are articles by a chemist and a biologist about mathematics, and four articles by mathematicians writing about science and mathematics involved. Because this book communicates the excitement and utility of mathematics research at an elementary level, it is an excellent textbook in an advanced undergraduate mathematics course.
This book is the first of two volumes that aim to provide an up-to-date overview of the key data and techniques necessary for analysing the historical behaviour of business and financial cycles in the United Kingdom. Drawing on an extensive secondary literature and the considerable body of historical macroeconomic and financial time series data that exist for the United Kingdom, the two volumes will review the key features of historical recessions and recoveries over the course of three and a half centuries. Volume 1 provides an overview of UK business cycles since 1660. The first part of the book considers old and new theories of the business cycle, looking at the impulses that generate business cycles and the propagation mechanisms that determine their duration and amplitude. The second part of the book uses the latest historical estimates of GDP to look at different ways of measuring and estimating business cycle fluctuations within a simple univariate framework. Finally, the book provides a narrative of UK economic fluctuations since 1660 using a whole range of economic data to shed light on the main drivers of cyclical behaviour. It concludes by highlighting areas for future research especially with regard to the link between business and financial cycles, some of which will be explored in Volume 2.
Supply chain scheduling is a relatively new research area with less than 20 years of history. It is an intersection of two traditional areas: supply chain management and scheduling. In this book, the authors provide a comprehensive coverage of supply chain scheduling. The book covers applications, solution algorithms for solving related problems, evaluation of supply chain conflicts, and models for encouraging cooperation between decision makers. Supply chain scheduling studies detailed scheduling issues within supply chains, as motivated by a variety of applications in the real world. Topics covered by the book include: Coordinated decision making in centralized supply chains, including integrated production and distribution scheduling, joint scheduling and product pricing, and coordinated subcontracting and scheduling. Coordination and competition issues in decentralized supply chains, including conflict and cooperation within scheduling decisions made by different parties in supply chains, and both cooperative and non-cooperative supply chain scheduling games. The book describes a variety of representative problems within each of these topics. The authors define these problems mathematically, describe corresponding applications, and introduce solution methods for solving each problem to improve supply chain performance.
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