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 #  AuthorTitleAccn#YearItem Type Claims
41 Bisztriczky, Tibor Polytopes I01146 1994 eBook  
42 Evarestov, Robert A Site Symmetry in Crystals I00605 1993 eBook  
43 Hestenes, D Clifford Algebra to Geometric Calculus I00122 1984 eBook  
44 Hart, Bradd T Algebraic Model Theory I00108 1997 eBook  
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41.    
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TitlePolytopes : Abstract, Convex and Computational
Author(s)Bisztriczky, Tibor;McMullen, Peter;Schneider, Rolf;Weiss, Asia Ivic
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionXIX, 507 p : online resource
Abstract NoteThe aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The articles include contributions from many of the leading experts in the field, and their topics of concern are expositions of recent results and in-depth analyses of the development (past and future) of the subject. The subject matter of the book ranges from algorithms for assignment and transportation problems to the introduction of a geometric theory of polyhedra which need not be convex. With polytopes as the main topic of interest, there are articles on realizations, classifications, Eulerian posets, polyhedral subdivisions, generalized stress, the Brunn--Minkowski theory, asymptotic approximations and the computation of volumes and mixed volumes. For researchers in applied and computational convexity, convex geometry and discrete geometry at the graduate and postgraduate levels
ISBN,Price9789401109246
Keyword(s)1. Computer science???Mathematics 2. Convex and Discrete Geometry 3. Convex geometry?? 4. Discrete geometry 5. Discrete Mathematics in Computer Science 6. EBOOK 7. EBOOK - SPRINGER 8. GEOMETRY 9. GROUP THEORY 10. Group Theory and Generalizations 11. Numeric Computing 12. NUMERICAL ANALYSIS
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I01146     On Shelf    

42.     
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TitleSite Symmetry in Crystals : Theory and Applications
Author(s)Evarestov, Robert A;Smirnov, Vyacheslav P
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1993.
DescriptionXI, 274 p : online resource
Abstract NoteThe history of applications of space group theory to solid state physics goes back more than five decades. The periodicity of the lattice and the definition of a k-space were the corner-stones of this application. Prof. Volker Heine in Vol. 35 of Solid State Physics (1980) noted that, even in perfect crystals, where k-space methods are appropriate, the local properties (such as the charge densi?? ty, bond order, etc.) are defined by the local environment of one atom. Natural?? ly, "k-space methods" are not appropriate for crystals with point defects, sur?? faces and interfaces, or for amorphous materials. In such cases the real-space approach favored by chemists to describe molecules has turned out to be very useful. To span the gulf between the k-space and real space methods it is helpful to recall that atoms in crystalline solids possess a site symmetry defined by the symmetry of the local environment of the atom occupying the site. The site symmetry concept is familiar to crystallographers and commonly used by them in the description of crystalline structures. However, in the application of group theory to solid state physics problems, the site symmetry approach has been used only for the last ten to fifteen years. In our book Methods oj Group Theory in the Quantum Chemistry oj Solids published in Russian in 1987 by Leningrad University Press we gave the first results of this application to the theory of electronic structure of crystals
ISBN,Price9783642974427
Keyword(s)1. CRYSTALLOGRAPHY 2. Crystallography and Scattering Methods 3. EBOOK 4. EBOOK - SPRINGER 5. GROUP THEORY 6. Group Theory and Generalizations 7. Materials???Surfaces 8. Mathematical Methods in Physics 9. Numerical and Computational Physics, Simulation 10. PHYSICAL CHEMISTRY 11. PHYSICS 12. Surfaces and Interfaces, Thin Films 13. THIN FILMS
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I00605     On Shelf    

43.     
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TitleClifford Algebra to Geometric Calculus : A Unified Language for Mathematics and Physics
Author(s)Hestenes, D;Sobczyk, Garret
PublicationDordrecht, Springer Netherlands, 1984.
DescriptionXVIII, 314 p : online resource
Abstract NoteMatrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called 'Clifford Algebra', though we prefer the name 'Geometric Algebm' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quatemions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas
ISBN,Price9789400962927
Keyword(s)1. ALGEBRA 2. EBOOK 3. EBOOK - SPRINGER 4. GEOMETRY 5. GROUP THEORY 6. Group Theory and Generalizations 7. MATHEMATICAL PHYSICS 8. Theoretical, Mathematical and Computational Physics
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I00122     On Shelf    

44.    
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TitleAlgebraic Model Theory
Author(s)Hart, Bradd T;Lachlan, A;Valeriote, Matthew A
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXVII, 277 p : online resource
Abstract NoteRecent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras. Audience: Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented
ISBN,Price9789401589239
Keyword(s)1. ALGEBRAIC GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. FUNCTIONS OF REAL VARIABLES 5. GROUP THEORY 6. Group Theory and Generalizations 7. MATHEMATICAL LOGIC 8. Mathematical Logic and Foundations 9. REAL FUNCTIONS
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I00108     On Shelf    

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