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Author | Title | Accn# | Year | Item Type | Claims |
| 41 |
Barlotti, A |
Generators and Relations in Groups and Geometries |
I02261 |
1991 |
eBook |
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| 42 |
Broer, A |
Representation Theories and Algebraic Geometry |
I01480 |
1998 |
eBook |
|
| 43 |
Bozh??y??k, M.E |
Topics in Knot Theory |
I01396 |
1993 |
eBook |
|
| 44 |
Boutet de Monvel, Anne |
Algebraic and Geometric Methods in Mathematical Physics |
I01318 |
1996 |
eBook |
|
| 45 |
Bisztriczky, Tibor |
Polytopes |
I01146 |
1994 |
eBook |
|
| 46 |
Evarestov, Robert A |
Site Symmetry in Crystals |
I00605 |
1993 |
eBook |
|
| 47 |
Hestenes, D |
Clifford Algebra to Geometric Calculus |
I00122 |
1984 |
eBook |
|
| 48 |
Hart, Bradd T |
Algebraic Model Theory |
I00108 |
1997 |
eBook |
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41.
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| Title | Generators and Relations in Groups and Geometries |
| Author(s) | Barlotti, A;Ellers, E.W;Plaumann, P;Strambach, K |
| Publication | Dordrecht, Springer Netherlands, 1991. |
| Description | XV, 447 p : online resource |
| Abstract Note | Every group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators and relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into central collineations, supplies valuable information on the geometric and algebraic structure. This mode of investigation has gained momentum since the end of last century. The tradition of geometric-algebraic interplay brought forward two branches of research which are documented in Parts I and II of these Proceedings. Part II deals with the theory of reflection geometry which culminated in Bachmann's work where the geometric information is encoded in properties of the group of motions expressed by relations in the generating involutions. This approach is the backbone of the classification of motion groups for the classical unitary and orthogonal planes. The axioms in this char?? acterization are natural and plausible. They provoke the study of consequences of subsets of axioms which also yield natural geometries whose exploration is rewarding. Bachmann's central axiom is the three reflection theorem, showing that the number of reflections needed to express a motion is of great importance |
| ISBN,Price | 9789401133821 |
| Keyword(s) | 1. ALGEBRA
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. Field theory (Physics)
6. Field Theory and Polynomials
7. GROUP THEORY
8. Group Theory and Generalizations
9. Linear and Multilinear Algebras, Matrix Theory
10. MATRIX THEORY
|
| Item Type | eBook |
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I02261 |
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On Shelf |
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42.
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| Title | Representation Theories and Algebraic Geometry |
| Author(s) | Broer, A |
| Publication | Dordrecht, Springer Netherlands, 1998. |
| Description | XXII, 444 p : online resource |
| Abstract Note | The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of Harish-Chandra modules |
| ISBN,Price | 9789401591317 |
| Keyword(s) | 1. ALGEBRAIC GEOMETRY
2. EBOOK
3. EBOOK - SPRINGER
4. GROUP THEORY
5. Group Theory and Generalizations
6. LIE GROUPS
7. Non-associative Rings and Algebras
8. Nonassociative rings
9. Rings (Algebra)
10. TOPOLOGICAL GROUPS
11. Topological Groups, Lie Groups
|
| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I01480 |
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On Shelf |
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43.
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| Title | Topics in Knot Theory |
| Author(s) | Bozh??y??k, M.E |
| Publication | Dordrecht, Springer Netherlands, 1993. |
| Description | XIV, 353 p : online resource |
| Abstract Note | Topics in Knot Theory is a state of the art volume which presents surveys of the field by the most famous knot theorists in the world. It also includes the most recent research work by graduate and postgraduate students. The new ideas presented cover racks, imitations, welded braids, wild braids, surgery, computer calculations and plottings, presentations of knot groups and representations of knot and link groups in permutation groups, the complex plane and/or groups of motions. For mathematicians, graduate students and scientists interested in knot theory |
| ISBN,Price | 9789401116954 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. COMPUTER GRAPHICS
4. EBOOK
5. EBOOK - SPRINGER
6. ENGINEERING MATHEMATICS
7. GEOMETRY
8. GROUP THEORY
9. Group Theory and Generalizations
10. MATHEMATICAL PHYSICS
11. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I01396 |
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On Shelf |
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44.
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| Title | Algebraic and Geometric Methods in Mathematical Physics : Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993 |
| Author(s) | Boutet de Monvel, Anne;Marchenko, V.A |
| Publication | Dordrecht, Springer Netherlands, 1996. |
| Description | XIV, 478 p : online resource |
| ISBN,Price | 9789401706933 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. GROUP THEORY
6. Group Theory and Generalizations
7. OPERATOR THEORY
8. PARTIAL DIFFERENTIAL EQUATIONS
9. QUANTUM FIELD THEORY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I01318 |
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On Shelf |
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45.
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| 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 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,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 |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I01146 |
|
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On Shelf |
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46.
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| 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 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,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 |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I00605 |
|
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On Shelf |
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47.
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| 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 |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I00122 |
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On Shelf |
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48.
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| 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 |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I00108 |
|
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On Shelf |
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