Advances in Ring Theory

J. L. S. Chen, N. Q. Ding, "Advances in Ring Theory"
World Scientific Publishing Company | 2005 | ISBN: 981256425X | 336 pages | PDF | 38,5 MB

The selected papers in this volume cover all the most important areas of ring theory and module theory such as classical ring theory, representation theory, the theory of quantum groups, the theory of Hopf algebras, the theory of Lie algebras and Abelian group theory. The review articles, written by specialists, provide an excellent overview of the various areas of ring and module theory - ideal for researchers looking for a new or related field of study. Also included are original articles showing the trend of current research.

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Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified

Vincenzo Ancona, Bernard Gaveau, "Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified"
Chapman & Hall/CRC | 2005 | ISBN: 0849337399 | 312 pages | PDF | 2,1 MB

Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. This book features an approach that employs recursive arguments on dimension and does not introduce spaces of higher dimension than the initial space. It simplifies the theory through easily identifiable and well-defined weight filtrations. It also avoids discussion of cohomological descent theory to maintain accessibility. Topics include classical Hodge theory, differential forms on complex spaces, and mixed Hodge structures on noncompact spaces.

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Rings, Modules, Algebras, and Abelian Groups

Alberto Facchini, Evan Houston, Luigi Salce, "Rings, Modules, Algebras, and Abelian Groups"
CRC | 2004 | ISBN: 0824748077 | 524 pages | PDF | 26,5 MB

Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological algebraic structures, and provides more than 600 current references and 570 display equations for further exploration of the topic. It provides stimulating discussions from world-renowned names including Laszlo Fuchs, Robert Gilmer, Saharon Shelah, Daniel Simson, and Richard Swan to celebrate 40 years of study on cumulative rings. Describing emerging theories

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Domain Decomposition Methods for Partial Differential Equations

Alfio Quarteroni, Alberto Valli "Domain Decomposition Methods for Partial Differential Equations"
Oxford University Press | English | 1999-07-29 | ISBN: 0198501781 | 376 pages | PDF | 6,5 MB

A relatively new field, domain composition methods draw on parallel computing techniques and are proving a powerful approach to the numerical solution of partial differential equations. This book illustrates the basic mathematical concepts and looks at a large variety of boundary value problems.

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Efficient Visual Recognition Using the Hausdorff Distance

William Rucklidge "Efficient Visual Recognition Using the Hausdorff Distance"
Springer | English | 1996-12-06 | ISBN: 3540619933 | 178 pages | PDF | 13,7 MB

This book presents the theoretical aspects and practical development of a computer vision system for searching an image for a specified model object; this system is reliable, tolerates imperfections in the image and model, and is fast enough for real-world applications. A number of search techniques are evaluated. The capabilities of the author's image search system are demonstrated on a variety of examples, and applications using it to track moving objects and navigate mobile robots are shown. This book is essential reading for anybody interested in model-based object recognition.

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Adaptive Multilevel Solution on Nonlinear parabolic PDE Systems. Theory, Algorithm and Applications

Jens Lang "Adaptive Multilevel Solution on Nonlinear parabolic PDE Systems. Theory, Algorithm and Applications"
Springer | English | 2000-12-28 | ISBN: 3540679006 | 157 pages | PDF | 10 MB

A text for students and researchers interested in the theoretical understanding of, or developing codes for, solving instationary PDEs. This text deals with the adaptive solution of these problems, illustrating the interlocking of numerical analysis, algorithms, solutions.

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Springer «18 Unconventional Essays on the Nature of Mathematics» by Reuben Hersh

Springer «18 Unconventional Essays on the Nature of Mathematics» by Reuben Hersh
English | Springer | 2006 | ISBN 0-387-25717-9 | True PDF | 346 pages | 1,4 Mb

This book collects some of the most interesting recent writings that are tackling, from various points of view, the problem of giving an accounting of the nature, purpose, and justification of real mathematical practice - mathematics as actually done by real live mathematicians. What is the nature of the objects being studied? What determines the directions and styles in which mathematics progresses (or, perhaps, degenerates)? What certifies its claim to certainty, or to a priori status, to independence of experience? Why is mathematics the same for all times and places, or is it really the same, or in what senses is it the same and in what senses different? Many of these writings were read at conferences in Europe and America under the heading of «history» or «cultural studies» as well as «philosophy». It is the editor’s hope to help foster healthy interdisciplinary mutual aid in this young and fertile area.

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by Reuben Hersh

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