Total Positivity and Its Applications: 359 (Mathematics and Its Applications, 359) - Hardcover

 
9780792339243: Total Positivity and Its Applications: 359 (Mathematics and Its Applications, 359)

Synopsis

This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994. There were present at the meeting almost fifty researchers from fourteen countries. Their interest in thesubject of Total Positivity made for a stimulating and fruitful exchange of scientific information. Interest to participate in the meeting exceeded our expectations. Regrettably, budgetary constraints forced us to restriet the number of attendees. Professor S. Karlin, of Stanford University, who planned to attend the meeting had to cancel his participation at the last moment. Nonetheless, his almost universal spiritual presence energized and inspired all of us in Jaca. More than anyone, he influenced the content, style and quality of the presentations given at the meeting. Every article in these Proceedings (except some by Karlin hirnself) references his influential treatise Total Positivity, Volume I, Stanford University Press, 1968. Since its appearance, this book has intrigued and inspired the minds of many researchers (one of us, in his formative years, read the galley proofs and the other of us first doubted its value but then later became its totally committed disciple). All of us present at the meeting encourage Professor Karlin to return to the task of completing the anxiously awaited Volume 11 of Total Positivity.

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Synopsis

This volume contains articles that document the advances in the subject of total positivity since the 1970s. The material is divided into ten chapters. While some of the articles are of a survey nature, others present new results. Also, some papers contain introductory material and are therefore accessible to non-experts interested in becoming familiar with the important ideas and techniques of total positivity. This book should be of value to mathematicians, engineers and computer scientists whose work involves applications of total positivity to problems in the theory of spline functions, numerical quadrature, nonlinear analysis, entire functions, probability, mathematical biology, statistics, approximation theory, combinatorics, geometric modelling, matrix theory and integral equations.

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9789048146673: Total Positivity and Its Applications: 359 (Mathematics and Its Applications)

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ISBN 10:  9048146674 ISBN 13:  9789048146673
Publisher: Springer, 2010
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