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 #  AuthorTitleAccn#YearItem Type Claims
41 Bozh??y??k, M.E Topics in Knot Theory I01396 1993 eBook  
42 Boutet de Monvel, Anne Algebraic and Geometric Methods in Mathematical Physics I01318 1996 eBook  
43 Bisztriczky, Tibor Polytopes I01146 1994 eBook  
44 Evarestov, Robert A Site Symmetry in Crystals I00605 1993 eBook  
45 Hestenes, D Clifford Algebra to Geometric Calculus I00122 1984 eBook  
46 Hart, Bradd T Algebraic Model Theory I00108 1997 eBook  
47 H. S. M. Coxeter Beauty of geometry: Twelve Essays 025993 1968 Book  
48 Paul Roman Advanced quantum theory: An outline of the fundamental ideas 024431 1965 Book  
49 Sunil Mukhi Lectures on advanced mathematical methods for physicists 024428 2010 Book  
50 Ken J. Barnes Group theory for the standard model of particle physics and beyond 024065 2010 Book  
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41.    
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TitleTopics in Knot Theory
Author(s)Bozh??y??k, M.E
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXIV, 353 p : online resource
Abstract NoteTopics 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,Price9789401116954
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
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I01396     On Shelf    

42.     
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TitleAlgebraic and Geometric Methods in Mathematical Physics : Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993
Author(s)Boutet de Monvel, Anne;Marchenko, V.A
PublicationDordrecht, Springer Netherlands, 1996.
DescriptionXIV, 478 p : online resource
ISBN,Price9789401706933
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
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I01318     On Shelf    

43.     
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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    

44.     
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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    

45.     
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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    

46.     
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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    

47.     
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TitleBeauty of geometry: Twelve Essays
Author(s)H. S. M. Coxeter
PublicationNew York, Dover Publications, Inc., 1968.
Descriptionx, 274p.
Abstract NoteWritten by a distinguished mathematician, the dozen absorbing essays in this versatile volume offer both supplementary classroom material and pleasurable reading for the mathematically inclined. The essays promise to encourage readers in the further study of elementary geometry, not just for its own sake, but also for its broader applications, which receive a full and engaging treatment. Beginning with an analytic approach, the author reviews the functions of Schlafli and Lobatschefsky and discusses number theory in a dissertation on integral Cayley numbers. A detailed examination of group theory includes discussion of Wythoff's construction for uniform polytopes, as well as a chapter on regular skew polyhedra in three and four dimensions and their topological analogues. A profile of self-dual configurations and regular graphs introduces elements of graph theory, followed up with a chapter on twelve points in PG (5, 3) with 95040 self-transformations. Discussion of an upper bound for the number of equal nonoverlapping spheres that can touch another same-sized sphere develops aspects of communication theory, while relativity theory is explored in a chapter on reflected light signals. - See more at: http://store.doverpublications.com/0486409198.html#sthash.U0Jy5hZo.dpuf
ISBN,Price9780486409191 : US $14.95(PB)
Classification514.01
Keyword(s)1. GEOMETRY 2. GRAPH THEORY 3. GROUP THEORY 4. INTERGRAL CAYLEY NUMBERS
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025993   514.01/COX/025993  On Shelf    

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48.     
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TitleAdvanced quantum theory: An outline of the fundamental ideas
Author(s)Paul Roman
PublicationReading, Massachusetts, Addison-Wesley, 1965.
Descriptionxiii, 735p.
ISBN,Price0.00(Xeroxed)
Classification530.145
Keyword(s)1. COLLISION THEORY 2. GROUP THEORY 3. POTENTIAL SCATTERING 4. QUANTUM THEORY 5. RELATIVISTIC QUANTUM MECHANICS 6. SYMMETRY
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024431   530.145/ROM/024431  On Shelf    

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49.     
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TitleLectures on advanced mathematical methods for physicists
Author(s)Sunil Mukhi;N. Mukunda
PublicationNew Delhi, Hindustan Book Agency, 2010.
Descriptionviii, 278p.
Series(Texts and monographs in physics)
ISBN,Price9789380250021 : Rs. 500.00(HB)
Classification51-7:53
Keyword(s)1. ALGEBRA 2. DIFFERENTIAL GEOMETRY 3. GROUP THEORY 4. LIE ALGEBRAS 5. MATHEMATICAL METHODS 6. MATHEMATICAL METHODS - PHYSICS 7. TOPOLOGY
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024428   51-7:53/MUK/024428  Issued BR07: Rajendra Prasad Bhatt 01/May/2024

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50.    
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TitleGroup theory for the standard model of particle physics and beyond
Author(s)Ken J. Barnes
PublicationBoca Raton, CRC Press, 2010.
Descriptionxiii, 241p.
Series(Series in High Energy Physics, Cosmology and Gravitation)
Abstract NoteBased on the author’s well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries. After linking symmetries with conservation laws, the book works through the mathematics of angular momentum and extends operators and functions of classical mechanics to quantum mechanics. It then covers the mathematical framework for special relativity and the internal symmetries of the standard model of elementary particle physics. In the chapter on Noether’s theorem, the author explains how Lagrangian formalism provides a natural framework for the quantum mechanical interpretation of symmetry principles. He then examines electromagnetic, weak, and strong interactions; spontaneous symmetry breaking; the elusive Higgs boson; and supersymmetry. He also introduces new techniques based on extending space–time into dimensions described by anticommuting coordinates. Designed for graduate and advanced undergraduate students in physics, this text provides succinct yet complete coverage of the group theory of the symmetries of the standard model of elementary particle physics. It will help students understand current knowledge about the standard model as well as the physics that potentially lies beyond the standard model.
ISBN,Price9781420078749 : UKP 38.99(HB)
Classification539.12:512.54
Keyword(s)1. EBOOK 2. EBOOK - TAYLOR AND FRANCIS 3. GOLDSTONE THEOREM 4. GROUP THEORY 5. HIGGS MECHANISM 6. LIE GROUPS 7. NOETHER THEOREM 8. PARTICLE PHYSICS 9. QUANTUM THEORY
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024065   539.12:512.54/BAR/024065  On Shelf    
OB1351   539.12:512.54/BAR/  On Shelf    

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