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Set Optimization and Applications - The State of the Art
This volume presents five surveys with extensive bibliographies and six original contributions on set optimization and its applications in mathematical finance and game theory. The topics range from more conventional approaches that look for minimal/maximal elements with respect to vector orders or set relations, to the new complete-lattice approach that comprises a coherent solution concept for set optimization problems, along with existence results, duality theorems, optimality conditions, variational inequalities and theoretical foundations for algorithms. Modern approaches to scalarization methods can be found as well as a fundamental contribution to conditional analysis. The theory is tailor-made for financial applications, in particular risk evaluation and [super-]hedging for market models with transaction costs, but it also provides a refreshing new perspective on vector optimization. There is no comparable volume on the market, making the book an invaluable resource for researchers working in vector optimization and multi-criteria decision-making, mathematical finance and economics as well as [set-valued] variational analysis.
Advances in Convex Analysis and Global Optimization
There has been much recent progress in global optimization algo rithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective. Convex analysis plays a fun damental role in the analysis and development of global optimization algorithms. This is due essentially to the fact that virtually all noncon vex optimization problems can be described using differences of convex functions and differences of convex sets. A conference on Convex Analysis and Global Optimization was held during June 5 -9, 2000 at Pythagorion, Samos, Greece. The conference was honoring the memory of C. Caratheodory (1873-1950) and was en dorsed by the Mathematical Programming Societ...
Techniques of Variational Analysis
Borwein is an authority in the area of mathematical optimization, and his book makes an important contribution to variational analysis Provides a good introduction to the topic
A Fine Line
For the first time, Hartmut Esslinger, internationally acclaimed designer and founder of frog design, inc., reveals the secrets to better business through better design. Having spent forty years helping build the world’s most recognizable brands, Esslinger shows how business leaders and designers can join forces to build creative strategies that will ensure a more profitable and sustainable future. A Fine Line shares the amazing story of Esslinger’s transformation from industrial design wunderkind to a global innovation powerhouse, while detailing the very real challenges facing businesses in the new global economy. Offering companies far more than a temporary innovation booster, Essling...
Mathematical Reviews
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The Linear Algebra a Beginning Graduate Student Ought to Know
Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It encompasses an extensive corpus of theoretical results as well as a large and rapidly-growing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, th...
Meetings with Remarkable Manuscripts
An extraordinary and beautifully illustrated exploration of the medieval world through twelve manuscripts, from one of the world's leading experts. Winner of The Wolfson History Prize and The Duff Cooper Prize. A San Francisco Chronicle Holiday Book Gift Guide Pick! Meetings with Remarkable Manuscripts is a captivating examination of twelve illuminated manuscripts from the medieval period. Noted authority Christopher de Hamel invites the reader into intimate conversations with these texts to explore what they tell us about nearly a thousand years of medieval history - and about the modern world, too. In so doing, de Hamel introduces us to kings, queens, saints, scribes, artists, librarians, ...
