Author : Donald W. Kahn
Publisher : Courier Corporation
Page : 20 pages
File Size : 47,10 MB
Release : 2013-11-07
Category : Mathematics
ISBN : 0486152294
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 : S. Ramanan
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 29,2 MB
Release : 2005
Category : Mathematics
ISBN : 0821837028
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 : Andreas Kriegl
Publisher : American Mathematical Soc.
Page : 631 pages
File Size : 43,73 MB
Release : 1997
Category : Mathematics
ISBN : 0821807803
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 : Calvin C. Moore
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 13,47 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461395925
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 : Edward Lawler
Publisher : Stanford University Press
Page : 213 pages
File Size : 48,5 MB
Release : 2012-07-04
Category : Business & Economics
ISBN : 0804782687
Effective Human Resource Management is the Center for Effective Organizations' (CEO) sixth report of a fifteen-year study of HR management in today's organizations. The only long-term analysis of its kind, this book compares the findings from CEO's earlier studies to new data collected in 2010. Edward E. Lawler III and John W. Boudreau measure how HR management is changing, paying particular attention to what creates a successful HR function—one that contributes to a strategic partnership and overall organizational effectiveness. Moreover, the book identifies best practices in areas such as the design of the HR organization and HR metrics. It clearly points out how the HR function can and should change to meet the future demands of a global and dynamic labor market. For the first time, the study features comparisons between U.S.-based firms and companies in China, Canada, Australia, the United Kingdom, and other European countries. With this new analysis, organizations can measure their HR organization against a worldwide sample, assessing their positioning in the global marketplace, while creating an international standard for HR management.
Author : Terence Tao
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 12,91 MB
Release : 2006
Category : Mathematics
ISBN : 0821841432
"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 : Ilka Agricola
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 24,84 MB
Release : 2002
Category : Mathematics
ISBN : 0821829513
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 : Donald W. Kahn
Publisher : Courier Corporation
Page : 350 pages
File Size : 40,66 MB
Release : 2007-03-29
Category : Mathematics
ISBN : 0486457826
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 : John J. Murphy
Publisher : John Wiley & Sons
Page : 290 pages
File Size : 35,40 MB
Release : 2011-01-31
Category : Business & Economics
ISBN : 1118045556
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 : Yuri E. Gliklikh
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 43,10 MB
Release : 2010-12-07
Category : Mathematics
ISBN : 0857291637
Methods of global analysis and stochastic analysis are most often applied in mathematical physics as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is fundamental for the consideration of a broader class of problems. This book develops methods of Global Analysis and Stochastic Analysis such that their combination allows one to have a more or less common treatment for areas of mathematical physics that traditionally are considered as divergent and requiring different methods of investigation. Global and Stochastic Analysis with Applications to Mathematical Physics covers branches of mathematics that are currently absent in monograph form. Through the demonstration of new topics of investigation and results, both in traditional and more recent problems, this book offers a fresh perspective on ordinary and stochastic differential equations and inclusions (in particular, given in terms of Nelson's mean derivatives) on linear spaces and manifolds. Topics covered include classical mechanics on non-linear configuration spaces, problems of statistical and quantum physics, and hydrodynamics. A self-contained book that provides a large amount of preliminary material and recent results which will serve to be a useful introduction to the subject and a valuable resource for further research. It will appeal to researchers, graduate and PhD students working in global analysis, stochastic analysis and mathematical physics.
