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Introduction To Global Analysis

Author: Donald W. Kahn
Publisher: Courier Corporation
ISBN: 9780486152295
Size: 62.30 MB
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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.

Handbook Of Global Analysis

Author: Demeter Krupka
Publisher: Elsevier
ISBN: 9780080556734
Size: 67.28 MB
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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

Global Analysis

Author: Ilka Agricola
Publisher: American Mathematical Soc.
ISBN: 0821829513
Size: 32.25 MB
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This book introduces the reader to the world of differential forms and their uses in geometry, analysis, and mathematical physics. It begins with a few basic topics, partly as review, then moves on to vector analysis on manifolds and the study of curves and surfaces in $3$-space. Lie groups and homogeneous spaces are discussed, providing the appropriate framework for introducing symmetry in both mathematical and physical contexts. 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.

Housing Policy Matters

Author: Shlomo Angel
Publisher: Oxford University Press
ISBN: 9780195350326
Size: 23.93 MB
Format: PDF
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This book unifies housing policy by integrating industrialized and developing-country interventions in the housing sector into a comprehensive global framework. One hundred indicators are used to compare housing policies and conditions in 53 countries. Statistical analysis confirms that--after accounting for economic development--enabling housing policies result in improved housing conditions.

Global Analysis On Foliated Spaces

Author: Calvin C. Moore
Publisher: Springer Science & Business Media
ISBN: 1461395925
Size: 49.47 MB
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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.

Global Analysis On Open Manifolds

Author: Jürgen Eichhorn
Publisher: Nova Publishers
ISBN: 9781600215636
Size: 73.20 MB
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Global analysis is the analysis on manifolds. Since the middle of the sixties there exists a highly elaborated setting if the underlying manifold is compact, evidence of which can be found in index theory, spectral geometry, the theory of harmonic maps, many applications to mathematical physics on closed manifolds like gauge theory, Seiberg-Witten theory, etc. If the underlying manifold is open, i.e. non-compact and without boundary, then most of the foundations and of the great achievements fail. Elliptic operators are no longer Fredholm, the analytical and topological indexes are not defined, the spectrum of self-adjoint elliptic operators is no longer discrete, functional spaces strongly depend on the operators involved and the data from geometry, many embedding and module structure theorems do not hold, manifolds of maps are not defined, etc. It is the goal of this new book to provide serious foundations for global analysis on open manifolds, to discuss the difficulties and special features which come from the openness and to establish many results and applications on this basis.

Effective Human Resource Management

Author: Edward Lawler
Publisher: Stanford University Press
ISBN: 0804782687
Size: 24.56 MB
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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.

Global Analysis

Author: Shiing-Shen Chern
Publisher: American Mathematical Soc.
ISBN: 0821814168
Size: 16.78 MB
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The Imagination Of The New Left

Author: George N. Katsiaficas
Publisher: South End Press
ISBN: 9780896082274
Size: 22.92 MB
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Delineates the global turmoil of 1968, including: The Prague Spring; the student movements in Mexico, Japan, Sri Lanka, Italy, Yugoslavia, and Spain; The Tet Offensive in Vietnam and guerrilla movements in Latin America; the Democratic Convention in Chicago; and the assassination of Martin Luther King.