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The Sharpest Cut
This title is written in honor of Manfred Padberg, who has made fundamental contributions to both the theoretical and computational sides of integer programming and combinatorial optimization. This outstanding collection presents recent results in these areas that are closely connected to Padberg's research. His deep commitment to the geometrical approach to combinatorial optimization can be felt throughout this volume; his search for increasingly better and computationally efficient cutting planes gave rise to its title. The peer-reviewed papers contained here are based on invited lectures given at a workshop held in October 2001 to celebrate Padberg's 60th birthday. Grouped by topic (packing, stable sets, and perfect graphs; polyhedral combinatorics; general polytopes; semidefinite programming; computation), many of the papers set out to solve challenges set forth in Padberg's work. The book also shows how Padberg's ideas on cutting planes have influenced modern commercial optimization software.
Complexities
Sophie Germain taught herself mathematics by candlelight, huddled in her bedclothes. Ada Byron Lovelace anticipated aspects of general-purpose digital computing by more than a century. Cora Ratto de Sadosky advanced messages of tolerance and equality while sharing her mathematical talents with generations of students. This captivating book gives voice to women mathematicians from the late eighteenth century through to the present day. It documents the complex nature of the conditions women around the world have faced--and continue to face--while pursuing their careers in mathematics. The stories of the three women above and those of many more appear here, each one enlightening and inspiring....
Mathematics: Frontiers and Perspectives
A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.
Mathematics and the 21st Century
http://www.worldscientific.com/worldscibooks/10.1142/4633
Mapping Scientific Frontiers
This is an examination of the history and the state of the art of the quest for visualizing scientific knowledge and the dynamics of its development. Through an interdisciplinary perspective this book presents profound visions, pivotal advances, and insightful contributions made by generations of researchers and professionals, which portrays a holistic view of the underlying principles and mechanisms of the development of science. This updated and extended second edition: highlights the latest advances in mapping scientific frontiers examines the foundations of strategies, principles, and design patterns provides an integrated and holistic account of major developments across disciplinary bo...
Beyond Liberal Egalitarianism
Progressive theorists and activists insist that contemporary capitalism is deeply flawed from a normative point of view. However, most accept the liberal egalitarian thesis that the serious shortcomings of market societies (financial excess, inequality, and so on) could be overcome with proper political regulation. Building on Marx's legacy, Tony Smith argues in Beyond Liberal Egalitarianism that advocates of this thesis (Rawls, Habermas, Stiglitz, et al.) lack an adequate concept of capital and the state. These theorists also fail to comprehend new developments in world history ensuring that the 'destructive' aspects of capitalism increasingly outweigh whatever 'creative' elements it might continue to possess. Smith concludes that a normative social theory adequate to the twenty-first century must explicitly and unequivocally embrace socialism.
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