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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.

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.

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.

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.

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.

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.

Machine Dreams

Machine Dreams Author Philip Mirowski
ISBN-10 0521775264
Release 2002
Pages 655
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This was the first cross-over book into the history of science written by an historian of economics. It shows how 'history of technology' can be integrated with the history of economic ideas. The analysis combines Cold War history with the history of postwar economics in America and later elsewhere, revealing that the Pax Americana had much to do with abstruse and formal doctrines such as linear programming and game theory. It links the literature on 'cyborg' to economics, an element missing in literature to date. The treatment further calls into question the idea that economics has been immune to postmodern currents, arguing that neoclassical economics has participated in the deconstruction of the integral 'self'. Finally, it argues for an alliance of computational and institutional themes, and challenges the widespread impression that there is nothing else besides American neoclassical economic theory left standing after the demise of Marxism.

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.

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.

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.

God and the Universe

God and the Universe Author Arthur Gibson
ISBN-10 9781136365652
Release 2013-10-11
Pages 404
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Ambitious, controversial and absorbing, God and the Universe tackles the highly-charged issue of God's relevance in the light of new scientific thinking on cosmology. Engaging with poststructuralism, ethics, mathematics, and philosophy through the ages, this persuasively argued book reinvigorates religious debate for the new millennium.

3D Radiative Transfer in Cloudy Atmospheres

3D Radiative Transfer in Cloudy Atmospheres Author Alexander Marshak
ISBN-10 9783540285199
Release 2006-03-30
Pages 686
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Developments in three-dimensional cloud radiation over the past few decades are assessed and distilled into this contributed volume. Chapters are authored by subject-matter experts who address a broad audience of graduate students, researchers, and anyone interested in cloud-radiation processes in the solar and infrared spectral regions. After two introductory chapters and a section on the fundamental physics and computational techniques, the volume extensively treats two main application areas: the impact of clouds on the Earth's radiation budget, which is an essential aspect of climate modeling; and remote observation of clouds, especially with the advanced sensors on current and future satellite missions.

Operations Research for Unmanned Systems

Operations Research for Unmanned Systems Author John Q. Dickmann, Jr.
ISBN-10 9781118918944
Release 2016-05-02
Pages 352
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The first edited volume addressing analysis for unmanned vehicles, with focus on operations research rather than engineering • The editors have a unique combination of extensive operational experience and technical expertise • Chapters address a wide-ranging set of examples, domains and applications • Accessible to a general readership and also informative for experts

Critical Terms for Media Studies

Critical Terms for Media Studies Author W. J. T. Mitchell
ISBN-10 9780226532660
Release 2010-03-15
Pages 376
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Communications, philosophy, film and video, digital culture: media studies straddles an astounding array of fields and disciplines and produces a vocabulary that is in equal parts rigorous and intuitive. Critical Terms for Media Studies defines, and at times, redefines, what this new and hybrid area aims to do, illuminating the key concepts behind its liveliest debates and most dynamic topics. Part of a larger conversation that engages culture, technology, and politics, this exciting collection of essays explores our most critical language for dealing with the qualities and modes of contemporary media. Edited by two outstanding scholars in the field, W. J. T. Mitchell and Mark B. N. Hansen, the volume features works by a team of distinguished contributors. These essays, commissioned expressly for this volume, are organized into three interrelated groups: “Aesthetics” engages with terms that describe sensory experiences and judgments, “Technology” offers entry into a broad array of technological concepts, and “Society” opens up language describing the systems that allow a medium to function. A compelling reference work for the twenty-first century and the media that form our experience within it, Critical Terms for Media Studies will engage and deepen any reader’s knowledge of one of our most important new fields.

The Cambridge Handbook of Social Representations

The Cambridge Handbook of Social Representations Author Gordon Sammut
ISBN-10 9781107042001
Release 2015-05-25
Pages 495
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Provides the requisite theoretical and methodological guidelines for undertaking social research addressing relevant contemporary social issues.

Mathematics Under the Microscope

Mathematics Under the Microscope Author Alexandre Borovik
ISBN-10 9780821847619
Release 2010
Pages 317
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The author's goal is to start a dialogue between mathematicians and cognitive scientists. He discusses, from a working mathematician's point of view, the mystery of mathematical intuition: why are certain mathematical concepts more intuitive than others? To what extent does the ``small scale'' structure of mathematical concepts and algorithms reflect the workings of the human brain? What are the ``elementary particles'' of mathematics that build up the mathematical universe? The book is saturated with amusing examples from a wide range of disciplines--from turbulence to error-correcting codes to logic--as well as with just puzzles and brainteasers. Despite the very serious subject matter, the author's approach is lighthearted and entertaining. This is an unusual and unusually fascinating book. Readers who never thought about mathematics after their school years will be amazed to discover how many habits of mind, ideas, and even material objects that are inherently mathematical serve as building blocks of our civilization and everyday life. A professional mathematician, reluctantly breaking the daily routine, or pondering on some resisting problem, will open this book and enjoy a sudden return to his or her young days when mathematics was fresh, exciting, and holding all promises. And do not take the word ``microscope'' in the title too literally: in fact, the author looks around, in time and space, focusing in turn on a tremendous variety of motives, from mathematical ``memes'' (genes of culture) to an unusual life of a Hollywood star. --Yuri I. Manin, Max-Planck Institute of Mathematics, Bonn, and Northwestern University

4 manifolds and Kirby Calculus

4 manifolds and Kirby Calculus Author Robert E. Gompf
ISBN-10 9780821809945
Release 1999
Pages 558
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Since the early 1980s, there has been an explosive growth in 4-manifold theory, particularly due to the influx of interest and ideas from gauge theory and algebraic geometry. This book offers an exposition of the subject from the topological point of view. It bridges the gap to other disciplines and presents classical but important topological techniques that have not previously appeared in the literature. Part I of the text presents the basics of the theory at the second-year graduate level and offers an overview of current research. Part II is devoted to an exposition of Kirby calculus, or handlebody theory on 4-manifolds. It is both elementary and comprehensive. Part III offers in-depth treatments of a broad range of topics from current 4-manifold research. Topics include branched coverings and the geography of complex surfaces, elliptic and Lefschetz fibrations, $h$-cobordisms, symplectic 4-manifolds, and Stein surfaces. The authors present many important applications. The text is supplemented with over 300 illustrations and numerous exercises, with solutions given in the book. I greatly recommend this wonderful book to any researcher in 4-manifold topology for the novel ideas, techniques, constructions, and computations on the topic, presented in a very fascinating way. I think really that every student, mathematician, and researcher interested in 4-manifold topology, should own a copy of this beautiful book. --Zentralblatt MATH This book gives an excellent introduction into the theory of 4-manifolds and can be strongly recommended to beginners in this field ... carefully and clearly written; the authors have evidently paid great attention to the presentation of the material ... contains many really pretty and interesting examples and a great number of exercises; the final chapter is then devoted to solutions of some of these ... this type of presentation makes the subject more attractive and its study easier. --European Mathematical Society Newsletter