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A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.
Mineral elements are found in foods and drink of all different types, from drinking water through to mothers’ milk. The search for mineral elements has shown that many trace and ultratrace-level elements presented in food are required for a healthy life. By identifying and analysing these elements, it is possible to evaluate them for their specific health-giving properties, and conversely, to isolate their less desirable properties with a view to reducing or removing them altogether from some foods. The analysis of mineral elements requires a number of different techniques – some methods may be suitable for one food type yet completely unsuited to another. The Handbook of Mineral Element...
This book, first published in 1996, introduces students to optimization theory and its use in economics and allied disciplines. The first of its three parts examines the existence of solutions to optimization problems in Rn, and how these solutions may be identified. The second part explores how solutions to optimization problems change with changes in the underlying parameters, and the last part provides an extensive description of the fundamental principles of finite- and infinite-horizon dynamic programming. Each chapter contains a number of detailed examples explaining both the theory and its applications for first-year master's and graduate students. 'Cookbook' procedures are accompanied by a discussion of when such methods are guaranteed to be successful, and, equally importantly, when they could fail. Each result in the main body of the text is also accompanied by a complete proof. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.
Presents models of renewable and non-renewable resources and provides analytical methods to explore contemporary resource problems.
"The Berlin Workshop Series 2009 presents selected papers from meetings held from September 30 - October 2, 2007, at the 10th Annual Forum co-hosted by InWEnt and the World Bank in preparation for the Bank's World Development Report. At the 2007 meetings, key researchers and policy makers from Europe, the United States, and developing countries met to identify and brainstorm on agriculture the development challenges and successes that are later examined in-depth in the World Development Report 2009. This volume presents papers from the Berlin Workshop sessions on issues relating to Understanding spatial trends: perspectives and models; new economic geography and the dynamics of technological change-implications for LDCs; perspectives: rural-urban transformation: leading, lagging and interlinking places; spatial disparity and labor mobility; country realities and policy options; learning from Europe's efforts at integration and convergence and spatial policy for growth and equity.
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Reproduction of the original. The publishing house Megali specialises in reproducing historical works in large print to make reading easier for people with impaired vision.
The Life of St. Teresa of Jesus, of the Order of Our Lady of Carmel is an autobiography by Saint Teresa of Ávila. She was a Roman Catholic saint and prolific writer on religious mystics and the benefits of prayer.