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Geometry, Mechanics, and Dynamics
This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, in a program in honor of Marsden's legacy. The unified treatment of the wide breadth of topics treated in this book will be of interest to both experts and novices in geometric mechanics. Experts will recognize applications of their own familiar concepts and methods in a wide variety of fields, some of which they may never have approached from a geometric viewpoint. Novices may choose topics that interest them among the various fields and learn about geometric approaches and perspectives toward those topics that will be new for them as well.
The Education of David Martin
David Martin's vivid, elegant and absorbing prose offers surprising and often moving insights into his life, times and intellectual development. As Professor Emeritus of Sociology at the London School of Economics he gives a compelling behind-the-scenes account of the protests during the 1960s and 1970s. He also recounts the ups and downs of his leading role in championing the King James Bible and the Prayer Book in the 1980's. It will be a must read for the many people, both within and without the church, who have been influenced by his seminal writings.
Secrecy and Deceit
Comprehensive history of crypto-Jewish beliefs and social customs.
Analysis and Geometry in Control Theory and its Applications
Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity h...
Geometric Structures of Statistical Physics, Information Geometry, and Learning
Machine learning and artificial intelligence increasingly use methodological tools rooted in statistical physics. Conversely, limitations and pitfalls encountered in AI question the very foundations of statistical physics. This interplay between AI and statistical physics has been attested since the birth of AI, and principles underpinning statistical physics can shed new light on the conceptual basis of AI. During the last fifty years, statistical physics has been investigated through new geometric structures allowing covariant formalization of the thermodynamics. Inference methods in machine learning have begun to adapt these new geometric structures to process data in more abstract repres...
Discrete Mechanics, Geometric Integration and Lie–Butcher Series
This volume resulted from presentations given at the international “Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie–Butcher Series”, that took place at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid, Spain. It combines overview and research articles on recent and ongoing developments, as well as new research directions. Why geometric numerical integration? In their article of the same title Arieh Iserles and Reinout Quispel, two renowned experts in numerical analysis of differential equations, provide a compelling answer to this question. After this introductory chapter a collection of high-quality research articles aim at explo...
A Bigger Message: Conversations with David Hockney (Revised Edition)
“Sumptuously illustrated, this radiant volume encapsulates what it truly means to be a visual artist.” —Booklist David Hockney’s exuberant work is highly praised and widely celebrated—he is perhaps the world’s most popular living painter. But he is also something else: an incisive and original thinker on art. This new edition includes a revised introduction and five new chapters which cover Hockney’s production since 2011, including preparations for the Bigger Picture exhibition held at the Royal Academy in 2012 and the making of Hockney’s iPad drawings and plans for the show. A difficult period followed the exhibition’s huge success, marked first by a stroke, which left Ho...
Mathematical Reviews
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Incendios forestales
Los incendios forestales no tienen buena fama, pues solemos relacionarlos con desastres naturales que conllevan destrucción y, en ocasiones, víctimas humanas. Sin embargo, hay otra visión menos negativa si tenemos en cuenta que los incendios forman parte de la naturaleza y han moldeado la diversidad de nuestros ecosistemas durante millones de años. Aun así, aunque existen regímenes de incendios que son naturales y totalmente sostenibles desde el punto de vista ecológico, la gran cantidad de viviendas construidas en nuestros montes, junto con el cambio global, hace que algunos de ellos sean insostenibles desde el punto de vista socioeconómico, lo que genera muchos conflictos en la ges...
