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31 Kaya, R Rings and Geometry I04785 1985 eBook  
32 Rival, Ivan Ordered Sets I04730 1982 eBook  
33 Van Oystaeyen, Freddy Methods in Ring Theory I04623 1984 eBook  
34 Chisholm, J.S.R Clifford Algebras and Their Applications in Mathematical Physics I04081 1986 eBook  
35 Garnir, H.G Singularities in Boundary Value Problems I03977 1981 eBook  
36 Yavetz, Ido From Obscurity to Enigma I03930 1995 eBook  
37 Hazewinkel, Michiel Deformation Theory of Algebras and Structures and Applications I03635 1988 eBook  
38 Gaylord, Richard J Modeling Nature I02896 1996 eBook  
39 Dlab, V Finite Dimensional Algebras and Related Topics I02890 1994 eBook  
40 Keyes, David E Parallel Numerical Algorithms I02602 1997 eBook  
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31.    
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TitleRings and Geometry
Author(s)Kaya, R;Plaumann, P;Strambach, K
PublicationDordrecht, Springer Netherlands, 1985.
DescriptionXII, 568 p : online resource
Abstract NoteWhen looking for applications of ring theory in geometry, one first thinks of algebraic geometry, which sometimes may even be interpreted as the concrete side of commutative algebra. However, this highly de?? veloped branch of mathematics has been dealt with in a variety of mono?? graphs, so that - in spite of its technical complexity - it can be regarded as relatively well accessible. While in the last 120 years algebraic geometry has again and again attracted concentrated interes- which right now has reached a peak once more - , the numerous other applications of ring theory in geometry have not been assembled in a textbook and are scattered in many papers throughout the literature, which makes it hard for them to emerge from the shadow of the brilliant theory of algebraic geometry. It is the aim of these proceedings to give a unifying presentation of those geometrical applications of ring theo~y outside of algebraic geometry, and to show that they offer a considerable wealth of beauti?? ful ideas, too. Furthermore it becomes apparent that there are natural connections to many branches of modern mathematics, e. g. to the theory of (algebraic) groups and of Jordan algebras, and to combinatorics. To make these remarks more precise, we will now give a description of the contents. In the first chapter, an approach towards a theory of non-commutative algebraic geometry is attempted from two different points of view
ISBN,Price9789400954601
Keyword(s)1. ALGEBRA 2. EBOOK 3. EBOOK - SPRINGER
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32.     
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TitleOrdered Sets : Proceedings of the NATO Advanced Study Institute held at Banff, Canada, August 28 to September 12, 1981
Author(s)Rival, Ivan
PublicationDordrecht, Springer Netherlands, 1982.
Description978 p : online resource
Abstract NoteThis volume contains all twenty-three of the principal survey papers presented at the Symposium on Ordered Sets held at Banff, Canada from August 28 to September 12, 1981. The Symposium was supported by grants from the NATO Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada, the Canadian Mathematical Society Summer Research Institute programme, and the University of Calgary. tve are very grateful to these Organizations for their considerable interest and support. Over forty years ago on April 15, 1938 the first Symposium on Lattice Theory was held in Charlottesville, U.S.A. in conjunction with a meeting of the American Mathematical Society. The principal addresses on that occasion were Lattices and their applications by G. Birkhoff, On the application of structure theory to groups by O. Ore, and The representation of Boolean algebras by M. H. Stone. The texts of these addresses and three others by R. Baer, H. M. MacNeille, and K. Menger appear in the Bulletin of the American Mathematical Society, Volume 44, 1938. In those days the theory of ordered sets, and especially lattice theory was described as a "vigorous and promising younger brother of group theory." Some early workers hoped that lattice?? theoretic methods would lead to solutions of important problems in group theory
ISBN,Price9789400977983
Keyword(s)1. ALGEBRA 2. Computer science???Mathematics 3. Discrete Mathematics in Computer Science 4. EBOOK 5. EBOOK - SPRINGER 6. Order, Lattices, Ordered Algebraic Structures 7. Ordered algebraic structures
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33.     
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TitleMethods in Ring Theory
Author(s)Van Oystaeyen, Freddy
PublicationDordrecht, Springer Netherlands, 1984.
DescriptionVIII, 576 p : online resource
ISBN,Price9789400963696
Keyword(s)1. ALGEBRA 2. Associative rings 3. Associative Rings and Algebras 4. EBOOK 5. EBOOK - SPRINGER 6. Non-associative Rings and Algebras 7. Nonassociative rings 8. Rings (Algebra)
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34.     
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TitleClifford Algebras and Their Applications in Mathematical Physics
Author(s)Chisholm, J.S.R;Common, A.K
PublicationDordrecht, Springer Netherlands, 1986.
DescriptionXX, 592 p : online resource
Abstract NoteWilliam Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann's algebra, incorporating in the fundamental relations inner products defined in terms of the metric of the space. It is a strange fact that the Gibbs?? Heaviside vector techniques came to dominate in scientific and technical literature, while quaternions and Clifford algebras, the true associative algebras of inner-product spaces, were regarded for nearly a century simply as interesting mathematical curiosities. During this period, Pauli, Dirac and Majorana used the algebras which bear their names to describe properties of elementary particles, their spin in particular. It seems likely that none of these eminent mathematical physicists realised that they were using Clifford algebras. A few research workers such as Fueter realised the power of this algebraic scheme, but the subject only began to be appreciated more widely after the publication of Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of Marcel Riesz' Maryland Lectures in 1959. Some of the contributors to this volume, Georges Deschamps, Erik Folke Bolinder, Albert Crumeyrolle and David Hestenes were working in this field around that time, and in their turn have persuaded others of the importance of the subject
ISBN,Price9789400947283
Keyword(s)1. ALGEBRA 2. ANALYSIS 3. Analysis (Mathematics) 4. EBOOK 5. EBOOK - SPRINGER 6. MATHEMATICAL ANALYSIS
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35.     
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TitleSingularities in Boundary Value Problems : Proceedings of the NATO Advanced Study Institute held at Maratea, Italy, September 22 ??? October 3, 1980
Author(s)Garnir, H.G
PublicationDordrecht, Springer Netherlands, 1981.
DescriptionXVI, 377 p : online resource
Abstract NoteThe 1980 Maratea NATO Advanced Study Institute (= ASI) followed the lines of the 1976 Liege NATO ASI. Indeed, the interest of boundary problems for linear evolution partial differential equations and systems is more and more acute because of the outstanding position of those problems in the mathematical description of the physical world, namely through sciences such as fluid dynamics, elastodynamics, electro?? dynamics, electromagnetism, plasma physics and so on. In those problems the question of the propagation of singularities of the solution has boomed these last years. Placed in its definitive mathematical frame in 1970 by L. Hormander, this branch -of the theory recorded a tremendous impetus in the last decade and is now eagerly studied by the most prominent research workers in the field of partial differential equations. It describes the wave phenomena connected with the solution of boundary problems with very general boundaries, by replacing the (generailly impossible) computation of a precise solution by a convenient asymptotic approximation. For instance, it allows the description of progressive waves in a medium with obstacles of various shapes, meeting classical phenomena as reflexion, refraction, transmission, and even more complicated ones, called supersonic waves, head waves, creeping waves, ?????????????????? The !'tudy of singularities uses involved new mathematical concepts (such as distributions, wave front sets, asymptotic developments, pseudo-differential operators, Fourier integral operators, microfunctions, ????????? ) but emerges as the most sensible application to physical problems. A complete exposition of the present state of this theory seemed to be still lacking
ISBN,Price9789400984349
Keyword(s)1. ALGEBRA 2. EBOOK 3. EBOOK - SPRINGER
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36.     
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TitleFrom Obscurity to Enigma : The Work of Oliver Heaviside, 1872???1889
Author(s)Yavetz, Ido
PublicationBasel, 1. Birkh??user Basel 2. Imprint: Birkh??user, 1995.
DescriptionXI, 334 p. 16 illus : online resource
Abstract NoteOliver Heaviside's electromagnetic investigations - from the publication of his first electrical paper in 1972 to the public recognition awarded to him by Lord Kelvin in 1889 - have consistently attracted attention over the years, and of late have become a major source for the study of the development of field theory after Maxwell. "From Obscurity to Enigma" is the only comprehensive, in-depth analysis of Heaviside's work. It analyses and elucidates his brilliant but often close-to-indecipherable Electrical Papers and traces the evolution of his ideas against the background of growing knowledge in basic electromagnetic theory, telegraphy and telephony during these years. The book will be appreciated by historians of science and technology in the late 19th and early 20th centuries and by physicists and electrical engineers, many of whom are aware of Heaviside's contributions to their respective fields
ISBN,Price9783034801775
Keyword(s)1. ALGEBRA 2. CLASSICAL ELECTRODYNAMICS 3. EBOOK 4. EBOOK - SPRINGER 5. ELECTRODYNAMICS 6. OPTICS
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37.     
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TitleDeformation Theory of Algebras and Structures and Applications
Author(s)Hazewinkel, Michiel;Gerstenhaber, Murray
PublicationDordrecht, Springer Netherlands, 1988.
DescriptionVIII, 1030 p : online resource
Abstract NoteThis volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor?? mation theory". Two of the main philosphical-methodological pillars on which deformation theory rests are the fol?? lowing ??? (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" . ??? (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed)
ISBN,Price9789400930575
Keyword(s)1. ALGEBRA 2. EBOOK 3. EBOOK - SPRINGER 4. GEOMETRY 5. MATHEMATICAL PHYSICS 6. MATHEMATICS 7. Mathematics, general 8. Theoretical, Mathematical and Computational Physics
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38.     
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TitleModeling Nature : Cellular Automata Simulations with Mathematica??
Author(s)Gaylord, Richard J;Nishidate, Kazume
PublicationNew York, NY, Springer New York, 1996.
DescriptionXVIII, 260 p. 82 illus : online resource
Abstract NoteThis is the first volume in a suite of short, inexpensive, paperbound volumes intended for student usage as textbooks, or course supplements, and for purchase as single-copy reference works for professionals in specific disciplines, and, in some cases, for interdisciplinary use. This title focuses on cellular automata simulations while using Mathematica, thus its audience is a generally broad one, although physicists, life scientists and engineers will find this title to be of particular interest. Those familiar with Gaylord's previous book, coauthored with Paul Wellin, "Computer Simulations with Mathematica - Explorations in Complex Biological and Physical Systems", also published by TELOS, will find this new title to be an in-depth extension of some topics dealt with in that book. Modeling Nature: Cellular Automata Simulations with Mathematica, however, contains simulations not found in the Gaylord-Wellin volume. This book will have a DOS-diskette packaged with it, enabling cross-platform access to the code. These data files will also be made accessible online via the Internet at telospub.com FTP and WWW sites
ISBN,Price9781468494051
Keyword(s)1. ALGEBRA 2. ANALYSIS 3. Analysis (Mathematics) 4. Chemistry, Physical and theoretical 5. COMPUTER SIMULATION 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MATHEMATICAL LOGIC 10. Mathematical Logic and Foundations 11. MATHEMATICAL PHYSICS 12. Simulation and Modeling 13. Theoretical and Computational Chemistry 14. Theoretical, Mathematical and Computational Physics
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39.     
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TitleFinite Dimensional Algebras and Related Topics
Author(s)Dlab, V;Scott, Leonard
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionXIV, 392 p : online resource
Abstract NoteBased on invited lectures at the 1992 Canadian Algebra Seminar, this volume represents an up-to-date and unique report on finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory, finite groups, and homological algebra. It will interest mathematicians and graduate students in these and related subjects as an introduction to research in an area of increasing relevance and importance
ISBN,Price9789401715560
Keyword(s)1. ALGEBRA 2. COMMUTATIVE ALGEBRA 3. Commutative rings 4. Commutative Rings and Algebras 5. EBOOK 6. EBOOK - SPRINGER 7. Non-associative Rings and Algebras 8. Nonassociative rings 9. Rings (Algebra)
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40.    
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TitleParallel Numerical Algorithms
Author(s)Keyes, David E;Sameh, Ahmed;Venkatakrishnan, V
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXI, 395 p : online resource
Abstract NoteIn this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers. This book is distinguished from earlier surveys in parallel numerical algorithms by its extension of coverage beyond core linear algebraic methods into tools more directly associated with partial differential and integral equations - though still with an appealing generality - and by its focus on practical medium-granularity parallelism, approachable through traditional programming languages. Several of the authors used their invitation to participate as a chance to stand back and create a unified overview, which nonspecialists will appreciate
ISBN,Price9789401154123
Keyword(s)1. ALGEBRA 2. ALGORITHMS 3. Computational Mathematics and Numerical Analysis 4. Computer mathematics 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING 8. Engineering, general 9. MICROPROCESSORS 10. PARTIAL DIFFERENTIAL EQUATIONS 11. Processor Architectures
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