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Topology of 4 Manifolds PMS 39

Topology of 4 Manifolds  PMS 39 Author Michael H. Freedman
ISBN-10 9781400861064
Release 2014-07-14
Pages 268
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One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively. Recognition for this work includes the award of the Fields Medal of the International Congress of Mathematicians to Freedman in 1986. In Topology of 4-Manifolds these authors have collaborated to give a complete and accessible account of the current state of knowledge in this field. The basic material has been considerably simplified from the original publications, and should be accessible to most graduate students. The advanced material goes well beyond the literature; nearly one-third of the book is new. This work is indispensable for any topologist whose work includes four dimensions. It is a valuable reference for geometers and physicists who need an awareness of the topological side of the field. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.



The Wild World of 4 manifolds

The Wild World of 4 manifolds Author Alexandru Scorpan
ISBN-10 9780821837498
Release 2005-05-10
Pages 609
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What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. --MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. -- Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.



The Topology of 4 Manifolds

The Topology of 4 Manifolds Author Robion C. Kirby
ISBN-10 9783540461715
Release 2006-11-14
Pages 112
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This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post proofs; all are geometric and make us of handlebody theory. There is a new proof of Rohlin's theorem using spin structures. There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions. The book should be useful to beginning researchers in 4-manifolds.



Surgery on Compact Manifolds

Surgery on Compact Manifolds Author Charles Terence Clegg Wall
ISBN-10 9780821809426
Release 1999
Pages 302
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The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.



The Geometry of Four manifolds

The Geometry of Four manifolds Author S. K. Donaldson
ISBN-10 0198502699
Release 1997
Pages 440
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This book provides the first lucid and accessible account to the modern study of the geometry of four-manifolds. It has become required reading for postgraduates and research workers whose research touches on this topic. Pre-requisites are a firm grounding in differential topology, and geometry as may be gained from the first year of a graduate course. The subject matter of this book is the most significant breakthrough in mathematics of the last fifty years, and Professor Donaldson won a Fields medal for his work in the area. The authors start from the standpoint that the fundamental group and intersection form of a four-manifold provides information about its homology and characteristic classes, but little of its differential topology. It turns out that the classification up to diffeomorphism of four-manifolds is very different from the classification of unimodular forms and that the study of this question leads naturally to the new Donaldson invariants of four-manifolds. A central theme of this book is that the appropriate geometrical tools for investigating these questions come from mathematical physics: the Yang-Mills theory and anti-self dual connections over four-manifolds. One of the many consquences of this theory is that 'exotic' smooth manifolds exist which are homeomorphic but not diffeomorphic to (4, and that large classes of forms cannot be realized as intersection forms whereas distinct manifolds may share the same form. These result have hadfar-reaching consequences in algebraic geometry, topology, and mathematical physics, and will continue to be a mainspring of mathematical research for years to come.



Essays on Fourier Analysis in Honor of Elias M Stein PMS 42

Essays on Fourier Analysis in Honor of Elias M  Stein  PMS 42 Author Charles Fefferman
ISBN-10 9781400852949
Release 2014-07-14
Pages 396
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This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M. Christ, R. R. Coifman, S. Dobyinsky, C. Fefferman, R. Fefferman, Y. Han, D. Jerison, P. W. Jones, C. Kenig, Y. Meyer, A. Nagel, D. H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T. H. Wolff. The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E. M. Stein, elliptic non-smooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space. Originally published in 1995. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.



Lectures on the H Cobordism Theorem

Lectures on the H Cobordism Theorem Author John Milnor
ISBN-10 9781400878055
Release 2015-12-08
Pages 124
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These lectures provide students and specialists with preliminary and valuable information from university courses and seminars in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale. Originally published in 1965. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.



4 Manifolds

4 Manifolds Author Selman Akbulut
ISBN-10 9780191087769
Release 2016-09-22
Pages 280
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This book presents the topology of smooth 4-manifolds in an intuitive self-contained way, developed over a number of years by Professor Akbulut. The text is aimed at graduate students and focuses on the teaching and learning of the subject, giving a direct approach to constructions and theorems which are supplemented by exercises to help the reader work through the details not covered in the proofs. The book contains a hundred colour illustrations to demonstrate the ideas rather than providing long-winded and potentially unclear explanations. Key results have been selected that relate to the material discussed and the author has provided examples of how to analyse them with the techniques developed in earlier chapters.



Qualitative Theory of Differential Equations

Qualitative Theory of Differential Equations Author Viktor Vladimirovich Nemytskii
ISBN-10 9781400875955
Release 2015-12-08
Pages 532
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Book 22 in the Princeton Mathematical Series. Originally published in 1960. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.



The Cognitive Emotional Brain

The Cognitive Emotional Brain Author Luiz Pessoa
ISBN-10 9780262019569
Release 2013-10-04
Pages 320
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The idea that a specific brain circuit constitutes the emotional brain (and its corollary, that cognition resides elsewhere) shaped thinking about emotion and the brain for many years. Recent behavioral, neuropsychological, neuroanatomy, and neuroimaging research, however, suggests that emotion interacts with cognition in the brain. In this book, Luiz Pessoa moves beyond the debate over functional specialization, describing the many ways that emotion and cognition interact and are integrated in the brain. The amygdala is often viewed as the quintessential emotional region of the brain, but Pessoa reviews findings revealing that many of its functions contribute to attention and decision making, critical components of cognitive functions. He counters the idea of a subcortical pathway to the amygdala for affective visual stimuli with an alternate framework, the multiple waves model. Citing research on reward and motivation, Pessoa also proposes the dual competition model, which explains emotional and motivational processing in terms of their influence on competition processes at both perceptual and executive function levels. He considers the broader issue of structure-function mappings, and examines anatomical features of several regions often associated with emotional processing, highlighting their connectivity properties. As new theoretical frameworks of distributed processing evolve, Pessoa concludes, a truly dynamic network view of the brain will emerge, in which "emotion" and "cognition" may be used as labels in the context of certain behaviors, but will not map cleanly into compartmentalized pieces of the brain.



Alan Turing Life and Legacy of a Great Thinker

Alan Turing  Life and Legacy of a Great Thinker Author Christof Teuscher
ISBN-10 9783662056424
Release 2013-06-29
Pages 542
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Written by a distinguished cast of contributors, Alan Turing: Life and Legacy of a Great Thinker is the definitive collection of essays in commemoration of the 90th birthday of Alan Turing. This fascinating text covers the rich facets of his life, thoughts, and legacy, but also sheds some light on the future of computing science with a chapter contributed by visionary Ray Kurzweil, winner of the 1999 National Medal of Technology. Further, important contributions come from the philosopher Daniel Dennett, the Turing biographer Andrew Hodges, and from the distinguished logician Martin Davis, who provides a first critical essay on an emerging and controversial field termed "hypercomputation".



Cybernetics Oriented Programming CYBOP

Cybernetics Oriented Programming  CYBOP Author Christian Heller
ISBN-10 9783981089806
Release 2006
Pages 512
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Cybernetics Oriented Programming CYBOP has been writing in one form or another for most of life. You can find so many inspiration from Cybernetics Oriented Programming CYBOP also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Cybernetics Oriented Programming CYBOP book for free.



Availability Reliability and Security in Information Systems and HCI

Availability  Reliability  and Security in Information Systems and HCI Author Alfredo Cuzzocrea
ISBN-10 9783642405112
Release 2013-08-19
Pages 504
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This book constitutes the refereed proceedings of the IFIP WG 8.4, 8.9, TC 5 International Cross-Domain Conference on Availability, Reliability and Security, CD-ARES 2013, held in Regensburg, Germany, in September 2013. The 21 revised papers presented were carefully reviewed and selected for inclusion in the volume. The papers concentrate on the many aspects of information systems bridging the gap between research results in computer science and the many application fields. They are organized in the following topical sections: economic, ethical, legal, multilingual, organizational and social aspects; context-oriented information integration; data/information management as a service; context-oriented information integration and location-aware computing; security and privacy; risk management and business continuity; and security and privacy and location based applications. Also included are 15 papers from a special session on Human-Computer Interaction and Knowledge Discovery (HCI-KDD 2013).



The Oxford Handbook of Environmental and Conservation Psychology

The Oxford Handbook of Environmental and Conservation Psychology Author Susan D. Clayton
ISBN-10 9780199733026
Release 2012-10-18
Pages 700
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This handbook brings together contributions from experts in environmental and/or conservation psychology to review the current state of research. In addition to summarizing current knowledge, it provides an understanding of the relationship between environmental and conservation psychology, and of the directions in which these interdependent areas of study are heading.



Physical Relativity

Physical Relativity Author Harvey R. Brown
ISBN-10 9780199275830
Release 2005-11-24
Pages 225
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Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the 'principle theory' approach inspired by the logic of thermodynamics. A handful of physicists and philosophers have over the last century likewise expressed doubts about Einstein'streatment of the relativistic behaviour of rigid bodies and clocks in motion in the kinematical part of his great paper, and suggested that the dynamical understanding of length contraction and time dilation intimated by the immediate precursors of Einstein is more fundamental. Harvey Brown both examines andextends these arguments (which support a more 'constructive' approach to relativistic effects in Einstein's terminology), after giving a careful analysis of key features of the pre-history of relativity theory. He argues furthermore that the geometrization of the theory by Minkowski in 1908 brought illumination, but not a causal explanation of relativistic effects. Finally, Brown tries to show that the dynamical interpretation of special relativity defended in the book is consistent with therole this theory must play as a limiting case of Einstein's 1915 theory of gravity: the general theory of relativity.Appearing in the centennial year of Einstein's celebrated paper on special relativity, Physical Relativity is an unusual, critical examination of the way Einstein formulated his theory. It also examines in detail certain specific historical and conceptual issues that have long given rise to debate in both special and general relativity theory, such as the conventionality of simultaneity, the principle of general covariance, and the consistency or otherwise of the special theory withquantum mechanics. Harvey Brown' s new interpretation of relativity theory will interest anyone working on these central topics in modern physics.



Computer Safety Reliability and Security

Computer Safety  Reliability  and Security Author Francesco Flammini
ISBN-10 9783642242694
Release 2011-09-15
Pages 482
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This book constitutes the refereed proceedings of the 30th International Conference on Computer Safety, Reliability, and Security, SAFECOMP 2011, held in Naples, Italy, in September 2011. The 34 full papers presented together were carefully reviewed and selected from 100 submissions. The papers are organized in topical sections on RAM evaluation, complex systems dependability, formal verification, risk and hazard analysis, cybersecurity and optimization methods.



Alan Turing His Work and Impact

Alan Turing  His Work and Impact Author S. Barry Cooper
ISBN-10 9780123870124
Release 2013-03-18
Pages 944
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In this 2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP, readers will find many of the most significant contributions from the four-volume set of the Collected Works of A. M. Turing. These contributions, together with commentaries from current experts in a wide spectrum of fields and backgrounds, provide insight on the significance and contemporary impact of Alan Turing's work. Offering a more modern perspective than anything currently available, Alan Turing: His Work and Impact gives wide coverage of the many ways in which Turing's scientific endeavors have impacted current research and understanding of the world. His pivotal writings on subjects including computing, artificial intelligence, cryptography, morphogenesis, and more display continued relevance and insight into today's scientific and technological landscape. This collection provides a great service to researchers, but is also an approachable entry point for readers with limited training in the science, but an urge to learn more about the details of Turing's work. 2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP Named a 2013 Notable Computer Book in Computing Milieux by Computing Reviews Affordable, key collection of the most significant papers by A.M. Turing Commentary explaining the significance of each seminal paper by preeminent leaders in the field Additional resources available online