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Author  Title  Accn#  Year  Item 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 


41.


Title  Polytopes : Abstract, Convex and Computational 
Author(s)  Bisztriczky, Tibor;McMullen, Peter;Schneider, Rolf;Weiss, Asia Ivic 
Publication  Dordrecht, Springer Netherlands, 1994. 
Description  XIX, 507 p : online resource 
Abstract Note  The 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 indepth 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 BrunnMinkowski 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,Price  9789401109246 
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

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I01146 


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42.


Title  Site Symmetry in Crystals : Theory and Applications 
Author(s)  Evarestov, Robert A;Smirnov, Vyacheslav P 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 1993. 
Description  XI, 274 p : online resource 
Abstract Note  The 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 kspace were the cornerstones of this application. Prof. Volker Heine in Vol. 35 of Solid State Physics (1980) noted that, even in perfect crystals, where kspace 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, "kspace methods" are not appropriate for crystals with point defects, sur?? faces and interfaces, or for amorphous materials. In such cases the realspace approach favored by chemists to describe molecules has turned out to be very useful. To span the gulf between the kspace 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,Price  9783642974427 
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

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I00605 


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43.


Title  Clifford Algebra to Geometric Calculus : A Unified Language for Mathematics and Physics 
Author(s)  Hestenes, D;Sobczyk, Garret 
Publication  Dordrecht, Springer Netherlands, 1984. 
Description  XVIII, 314 p : online resource 
Abstract Note  Matrix 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,Price  9789400962927 
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

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I00122 


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44.
 
Title  Algebraic Model Theory 
Author(s)  Hart, Bradd T;Lachlan, A;Valeriote, Matthew A 
Publication  Dordrecht, Springer Netherlands, 1997. 
Description  XVII, 277 p : online resource 
Abstract Note  Recent 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,Price  9789401589239 
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

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I00108 


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