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This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.
Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Depending on the signs of the inequalities, we obtain Alexandrov spaces with curvature bounded above (CBA) and curvature bounded below (CBB). Even though the definitions of the two classes of spaces are similar, their properties and known applications are quite different. The goal of this book is to give a comprehensive exposition of the structure theory of Alexandrov spaces with curvature bounded above and below. It includes all the basic material as well as selected topics inspired by considering Alexandrov spaces with CBA and with CBB simultaneously. The book also includes an extensive problem list with solutions indicated for every problem.
The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II conce...
Explores the murder of the controversial Ojibwe chief who led his people through the first difficult years of dispossession by white invaders--and created a new kind of leadership for the Ojibwe.
"This book provides a comprehensive collection for experts in the Neuroscience and Biomedical technology fields, outlining various concepts from cognitive neuroscience and dementia to neural technology and rehabilitation"--Provided by publisher.
Officiating a professional boxing match can be a thankless job. When a match goes well, no one focuses on the referee. But when a controversy arises, everyone remembers the man who made the call. Third Man in the Ring explores the lives of thirty-three officials as they discuss what goes on inside the ropes and recount the disputes and clashes that have occurred when they worked at home and abroad. The referees share stories from the high-profile fights they worked, with such superstars as Oscar De La Hoya, Manny Pacquiao, Floyd Mayweather Jr., Muhammad Ali, Mike Tyson, Evander Holyfield, Larry Holmes, and Julio Cesar Chavez. Readers will hear from Rudy Battle, the first ref to officiate a t...
Chemical Processes—Advances in Research and Application: 2013 Edition is a ScholarlyBrief™ that delivers timely, authoritative, comprehensive, and specialized information about ZZZAdditional Research in a concise format. The editors have built Chemical Processes—Advances in Research and Application: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about ZZZAdditional Research in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Chemical Processes—Advances in Research and Application: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
This book recovers Dionysus and Apollo as the twin conceptual personae of life’s dual rhythm in an attempt to redesign contemporary theory through the reciprocal but differential affirmation of event and form, body and thought, dance and philosophy.
The United States-Japan Cooperative Medical Science Program was initiated in 1965 by joint agreement between the President of the United States and the Prime Minister of Japan. The purpose of the Program was to promote cooperative biomedical research between the two countries, especially on health problems of recognized impor tance in Asia. Cholera was designated as one topic of mutual interest. Panels of scientists from each country were formed, and these met to select priority areas for research. The Cholera Panels initially defined two major goals: 1) improved and simplified therapy for cholera, and 2) better methods for immunization. Progress in the pursuit of these goals led to the reco...