Introduction to Global Analysis PDF Download

Author: Donald W. Kahn
Publisher: Courier Corporation
ISBN: 9780486152295
Category : Mathematics
Languages : en
Pages : 352

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Book Description
This text introduces the methods of mathematical analysis as applied to manifolds, including the roles of differentiation and integration, infinite dimensions, Morse theory, Lie groups, and dynamical systems. 1980 edition.

Author: Andreas Kriegl
Publisher: American Mathematical Soc.
ISBN: 0821807803
Category : Global analysis (Mathematics).
Languages : en
Pages : 631

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Book Description
For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to Frechet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation copyrighted by Book News, Inc., Portland, OR

Author: S. Ramanan
Publisher: American Mathematical Soc.
ISBN: 0821837028
Category : Analytic spaces
Languages : en
Pages : 330

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Book Description
The power that analysis, topology and algebra bring to geometry has revolutionised the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on Global Analysis.

Author: Demeter Krupka
Publisher: Elsevier
ISBN: 0080556736
Category : Mathematics
Languages : en
Pages : 1243

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Book Description
This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents

Author: Ilka Agricola
Publisher: American Mathematical Soc.
ISBN: 0821829513
Category : Differential forms
Languages : en
Pages : 362

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Book Description
The final third of the book applies the mathematical ideas to important areas of physics: Hamiltonian mechanics, statistical mechanics, and electrodynamics." "There are many classroom-tested exercises and examples with excellent figures throughout. The book is ideal as a text for a first course in differential geometry, suitable for advanced undergraduates or graduate students in mathematics or physics."--BOOK JACKET.

Author: Terence Tao
Publisher: American Mathematical Soc.
ISBN: 0821841432
Category : Differential equations, Partial
Languages : en
Pages : 394

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Book Description
"Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the real-world intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems.".

Author: Calvin C. Moore
Publisher: Springer Science & Business Media
ISBN: 1461395925
Category : Mathematics
Languages : en
Pages : 337

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Book Description
Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold. This is seen classicallv in the Gauss-Bonnet theorem and its generalizations. which culminate in the Ativah-Singer Index Theorem [ASI] which places constraints on the solutions of elliptic systems of partial differential equations in terms of the Fredholm index of the associated elliptic operator and characteristic differential forms which are related to global topologie al properties of the manifold. The Ativah-Singer Index Theorem has been generalized in several directions. notably by Atiyah-Singer to an index theorem for families [AS4]. The typical setting here is given by a family of elliptic operators (Pb) on the total space of a fibre bundle P = F_M_B. where is defined the Hilbert space on Pb 2 L 1p -llbl.dvollFll. In this case there is an abstract index class indlPI E ROIBI. Once the problem is properly formulated it turns out that no further deep analvtic information is needed in order to identify the class. These theorems and their equivariant counterparts have been enormously useful in topology. geometry. physics. and in representation theory.

Author: John J. Murphy
Publisher: John Wiley & Sons
ISBN: 1118045556
Category : Business & Economics
Languages : en
Pages : 290

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Book Description
Praise for INTERMARKET ANALYSIS "John Murphy has done it again. He dissects the global relationships between equities, bonds, currencies, and commodities like no one else can, and lays out an irrefutable case for intermarket analysis in plain English. This book is a must-read for all serious traders." -Louis B. Mendelsohn, creator of VantagePoint Intermarket Analysis software "John Murphy's Intermarket Analysis should be on the desk of every trader and investor if they want to be positioned in the right markets at the right time." -Thom Hartle, President, Market Analytics, Inc. (www.thomhartle.com) "This book is full of valuable information. As a daily practitioner of intermarket analysis, I thought I knew most aspects of this invaluable subject, but this book gave me several new ideas. I thoroughly recommend it for beginners and professionals." -Martin Pring, President of Pring.com and editor of the Intermarket Review Newsletter "Mr. Murphy's Intermarket Analysis is truly the most efficient and unambiguous way to define economic and fundamental relationships as they unfold in the market. It cuts through all of the conflicting economic news/views expressed each day to provide a clear picture of the 'here and now' in the global marketplace." -Dennis Hynes, Managing Director, R. W. Pressprich "Master Murphy is back with the quintessential look at intermarket analysis. The complex relationships among financial instruments have never been more important, and this book brings it all into focus. This is an essential read for all investors." -Andrew Bekoff, Technical Strategist, VDM NYSE Specialists "John Murphy is a legend in technical analysis, and a master at explaining precisely how the major markets impact each other. This updated version provides even more lessons from the past, plus fresh insights on current market trends." -Price Headley, BigTrends.com, author of Big Trends in Trading

Author: Hoang Tuy
Publisher: Springer Science & Business Media
ISBN: 1475728093
Category : Mathematics
Languages : en
Pages : 346

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Book Description
Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essential role in the development of global optimization methods. This book develops a coherent and rigorous theory of deterministic global optimization from this point of view. Part I constitutes an introduction to convex analysis, with an emphasis on concepts, properties and results particularly needed for global optimization, including those pertaining to the complementary convex structure. Part II presents the foundation and application of global search principles such as partitioning and cutting, outer and inner approximation, and decomposition to general global optimization problems and to problems with a low-rank nonconvex structure as well as quadratic problems. Much new material is offered, aside from a rigorous mathematical development. Audience: The book is written as a text for graduate students in engineering, mathematics, operations research, computer science and other disciplines dealing with optimization theory. It is also addressed to all scientists in various fields who are interested in mathematical optimization.

Author: Sarah Hall
Publisher: SAGE
ISBN: 1473987822
Category : Social Science
Languages : en
Pages : 205

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Book Description
The financial crisis of 2007–8 and its aftermath have resulted in the role of money and finance within the global economy becoming the subject of considerable debate in public, policy and media circles. Global Finance is a timely look at the contemporary international financial environment, providing an introduction to this dynamic field of research for students and more advanced researchers. Drawing on economic geography, economic sociology and critical management, Hall offers a broad selection of case studies that ground critical theory in our current financial climate. Hall examines and reviews a wide range of critical approaches relating to the role of money and finance in the global economy, dividing these approaches into three key sections: Global finance and international financial centres. Global finance and the ‘real’ economy’. Global financial subjects and actors. The book takes a uniquely interdisciplinary approach which, combined with an international spread of case studies, makes this book highly valuable to a wide range of upper level undergraduate courses across the social sciences.