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Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and respected series in science published, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. Book jacket.
Addressing a wide range of topics, from Newton to Post-Kuhnian philosophy of science, these essays critically examine themes that have been central to the influential work of philosopher Michael Friedman. Special focus is given to Friedman's revealing study of both history of science and philosophy in his work on Kant, Newton, Einstein, and other major figures. This interaction of history and philosophy is the subject of the editors' "manifesto" and serves to both explain and promote the essential ties between two disciplines usually regarded as unrelated.
Information is a central topic in computer science, cognitive science and philosophy. Drawing on ideas from these subjects, this book addresses the definition and place of information in society.
This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students, who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both algebra and topology, including basic homotopy and homology, Poincare duality, bundles, co-bordism, embeddings, immersions, Whitehead torsion, Poincare complexes, spherical fibrations and quadratic forms and formations. While concentrating on the basic mechanics of surgery, this book includes many worked examples, useful drawings for illustration of the algebra and references for further reading.
All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included
Originally from west Kerry, Thomas Ashe was a schoolteacher in north County Dublin and a founding member of the Irish Volunteers. During the 1916 Rising he commanded the Fingal Battalion of the Volunteers, who were tasked with destroying the communications network of the British establishment north of Dublin city. This culminated in the Battle of Ashbourne, where the tactics used were a precursor of the guerrilla warfare techniques that were to be so effective in the War of Independence. Ashe was sentenced to death alongside Éamon de Valera, but their sentences were commuted to life imprisonment. He led a hunger strike in Lewes Prison in May 1917 and was released under a general amnesty in June. Ashe was re-arrested in August for a speech he made in Co. Longford. He was imprisoned in Mountjoy, where he went on hunger strike in September for prisoner-of-war status. He died on 25 September, having been force-fed by the prison authorities. Michael Collins delivered the oration at his funeral and the circumstances of his death and funeral became one of the key factors in tipping public opinion towards supporting the cause of the 1916 rebels.
In July 1927, at just thirty-five years old, Kevin O’Higgins was assassinated on his way to Mass in Booterstown, Co. Dublin. A reviled figure for anti-Treaty republicans, O’Higgins became the target of particular venom for his vocal support of the Free State government’s execution policy during the Civil War, which saw seventy-seven IRA men die before firing squads, including the best man at his wedding, Rory O’Connor.In Walled in By Hate, Arthur Mathews examines not just the life and death of O’Higgins, focusing on that most acrimonious time in his life, but also those of his contemporaries, such as O’Connor and Erskine Childers, who shaped the course of events around him. He also delves deep into O’Higgins’s relationships with the women around him and chronicles the reactions of the men who killed him, subjects that, until now, have remained largely unexplored.One of the most compelling characters to have emerged from the conflict, and still the target of vitriol today, the tragic story of Kevin O’Higgins encapsulates the bitter divisions of a time in Irish history that continue to echo in today’s Ireland.
These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the Novikov conjecture for special groups some applications to the classification of low dimensional manifolds are given.
The book will appeal to anyone with an interest in the interpretation of quantum mechanics.
From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.