Singularity Theory I

Author: V.I. Arnold
Editor: Springer Science & Business Media
ISBN: 9783540637110
Size: 16,75 MB
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This is a compact guide to the principles and main applications of Singularity Theory by one of the world’s top research groups. It includes a number of new results as well as a carefully prepared and extensive bibliography that makes it easy to find the necessary details. It’s ideal for any mathematician or physicist interested in modern mathematical analysis.

Boundary Integral And Singularity Methods For Linearized Viscous Flow

Author: C. Pozrikidis
Editor: Cambridge University Press
ISBN: 9780521406932
Size: 15,90 MB
Format: PDF
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The aim of this book is to bring together classical and recent developments in the particular field of Newtonian flow at low Reynolds numbers. The methods are developed from first principles, alternative formulations are compared, a variety of configurations are addressed, the proper mathematical framework is discussed in the context of functional analysis and integral-equation-theory, and procedures of numerical solution in the context of the boundary element method are introduced. The text contains a fair amount of original material pertaining, in particular, to the properties and explicit form of the Green's functions, and the theory of the integral equations that arise from boundary integral representations.

Singularity Theory

Author: Charles Terence Clegg Wall
Editor: Cambridge University Press
ISBN: 9780521658881
Size: 10,75 MB
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An up-to-date survey of research in singularity theory.

Topics In Singularity Theory

Author: A. G. Khovanskiĭ
Editor: American Mathematical Soc.
ISBN: 9780821808078
Size: 15,33 MB
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Leading mathematician and expert teacher, V.I. Arnold, turned 60 in June 1997. This volume contains a selection of original papers prepared for the occasion of this 60th anniversary by former students and other participants in Arnold's famous Moscow seminar. The papers in this volume reflect Arnold's wide range of interests and his scientific contributions, including singularity theory, symplectic and contact geometry, mathematical physics, and dynamical systems.

Sensibility And Singularity

Author: John E. Drabinski
Editor: SUNY Press
ISBN: 0791490874
Size: 10,37 MB
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Establishes the importance of Husserl's phenomenology for Levinas's ethics.

Singularity Sky

Author: Charles Stross
Editor: Hachette UK
ISBN: 074810917X
Size: 10,84 MB
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In the twenty-first century man created the Eschaton, a . It pushed Earth through the greatest technological evolution ever known, while warning that time travel is forbidden, and transgressors will be eliminated. Distant descendants of this ultra high-tech Earth live in parochial simplicity on the far-flung worlds of the New Republic. Their way of life is threatened by the arrival of an alien information plague known as the Festival. As forbidden technologies are literally dropped from the sky, suppressed political factions descend into revolutionary turmoil. A battle fleet is sent from Earth to destroy the Festival, but Spaceship engineer Martin Springfield and U.N. diplomat Rachel Mansour have been assigned rather different tasks. Their orders are to diffuse the crisis or to sabotage the New Republic's war-fleet, whatever the cost, before the Eschaton takes hostile action on a galactic scale.

Singularity Rising

Author: James D. Miller
Editor: BenBella Books, Inc.
ISBN: 1936661780
Size: 13,64 MB
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In Ray Kurzweil’s New York Times bestseller The Singularity is Near, the futurist and entrepreneur describes the Singularity, a likely future utterly different than anything we can imagine. The Singularity is triggered by the tremendous growth of human and computing intelligence that is an almost inevitable outcome of Moore's Law. Since the book's publication, the coming of the Singularity is now eagerly anticipated by many of the leading thinkers in Silicon Valley, from PayPal mastermind Peter Thiel to Google co-founder Larry Page. The formation of the Singularity University, and the huge popularity of the Singularity website kurzweilai.com, speak to the importance of this intellectual movement. But what about the average person? How will the Singularity affect our daily lives—our jobs, our families, and our wealth? Singularity Rising: Surviving and Thriving in a Smarter, Richer, and More Dangerous World focuses on the implications of a future society faced with an abundance of human and artificial intelligence. James D. Miller, an economics professor and popular speaker on the Singularity, reveals how natural selection has been increasing human intelligence over the past few thousand years and speculates on how intelligence enhancements will shape civilization over the next forty years. Miller considers several possible scenarios in this coming singularity: • A merger of man and machine making society fantastically wealthy and nearly immortal • Competition with billions of cheap AIs drive human wages to almost nothing while making investors rich • Businesses rethink investment decisions to take into account an expected future period of intense creative destruction • Inequality drops worldwide as technologies mitigate the cognitive cost of living in impoverished environments • Drugs designed to fight Alzheimer's disease and keep soldiers alert on battlefields have the fortunate side effect of increasing all of their users’ IQs, which, in turn, adds a percentage points to worldwide economic growth Singularity Rising offers predictions about the economic implications for a future of widely expanding intelligence and practical career and investment advice on flourishing on the way to the Singularity.

New Developments In Singularity Theory

Author: Dirk Wiersma
Editor: Springer Science & Business Media
ISBN: 9401008345
Size: 19,41 MB
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Singularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions. The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters. The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps.

Singularity Theory

Author: Denis Ch‚niot
Editor: World Scientific
ISBN: 9812704108
Size: 20,77 MB
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The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.

Singularity Theory And Gravitational Lensing

Author: Arlie O. Petters
Editor: Springer Science & Business Media
ISBN: 9780817636685
Size: 12,83 MB
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This monograph is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing. Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Part III employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation.