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Ïîèñê êíèã, ñîäåðæàùèõ: Duality



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Kogut J.B., Stephanov M.A. — The Phases of Quantum Chromodynamics: From Confinement to Extreme Environments
Cardy J. — Scaling and renormalization in statistical physics
Graham R.L., Grotschel M., Lovasz L. — Handbook of combinatorics (vol. 1)396, 492, 493, 498, 663, 2188
Falconer K. — Fractal Geometry. Mathematical Foundations and applications161—164
Gomez C., Ruiz-Altaba M., Sierra G. — Quantum Groups in Two-Dimensional Physics308, 319
Kassel C. — Quantum Groups120
Di Francesco P., Mathieu P., Senechal D. — Conformal field theory237, 332, 673
Dodge C.W. — Sets, logic & numbers60, 86
Graham R.L., Knuth D.E., Patashnik O. — Concrete mathematics63 (exercise 17), 68—69, 253, 515
Husemoeller D. — Elliptic curves410
Barth W., Peters C., Van de Ven A. — Compact complex surfacessee Poincare duality, relative duality, Serre duality
Coxeter H.S.M. — Non-Euclidean Geometry19, 26, 51, 62, 165
Levitz K., Levitz H. — Logic and Boolean Algebra86—87
Eisenbud D. — Commutative algebra with a view toward algebraic geometry520, 546
Silverman J.H. — The arithmetic of elliptic curves364
Graham R.L., Grotschel M., Lovasz L. — Handbook of combinatorics (vol. 2)396, 492, 493, 498, 663, 2188
Pareigis B. — Categories and functors12
MacLane S., Moerdijk L. — Sheaves in Geometry and Logic480, 515
Webster R. — Convexity99
Steen S.W.P. — Mathematical Logic with Special Reference to the Natural Numbers52
Melrose R. — The Atiyah-Singer index theorem (part 3)120
Atkins P.W., Friedman R.S. — Molecular Quantum Mechanics6
Herrmann H.J. (ed.), Roux S. (ed.) — Statistical models for the fracture of disordered media107, 133
Fletcher R. — Practical methods of optimization. Volume 2: constrained optimization69
Voisin C. — Hodge theory and complex algebraic geometry 1130
Baker G.A., Graves-Morris P. — Pade approximants (vol. 2)I: 31, 236
Curtain R.F., Pritchard A.J. — Functional Analysis in Modern Applied Mathematics231
Dodge C.W. — Foundations of algebra and analysis60, 86
Thomas C. — Characteristic Classes and the Cohomology of Finite Groups29
Maugin G.A. — Material inhomogeneities in elasticity11
Baker G.A., Graves-Morris P. — Pade approximants (vol. 1)I:31, 236
Behnke H., Bachmann F., Fladt K. — Fundamentals of Mathematics, Volume II: Geometry406n
Halmos P.R., Givant S. — Logic as Algebra46
Walker R.J. — Algebraic Curves41
Scheinerman E.R., Ullman D.H. — Fractional graph theory: a rational approach to the theory of graphs8, 117, 186
Ash R.B. — Abstract algebra: the basic graduate year10.1
Godsil C., Royle G. — Algebraic Graph Theory79
Eisenbud D. — Computations in Algebraic Geometry with Macaulay 226
Eilenberg S., Steenrod N. — Foundations of Algebraic Topology14
Auslender A., Teboulle M. — Asymptotic Cones and Functions in Optimization and Variational Inequalities13
F.Giannessi, F.Giannessi — Constrained Optimization and Image Space Analysis308
Hilton P.J., Stammbach U. — A course in homological algebra46, 48
Reid M., Szendroi B. — Geometry and Topology85—86, 90
Kanatani K. — Statistical Optimization for Geometric Computation: Theory and Practice11, 194
Palmer J. — Planar Ising Correlations45
Semple J.G., Kneebone G.T. — Algebraic projective geometry21
Burke E.K., Kendall G. — Search Methodologies: Introductory Tutorials in Optimization and Decision Support Techniques20, 23, 231
Brouwer A.E., Cohen A.M., Neumaier A. — Distance-Regular Graphs240
Aikawa H., Essen M. — Potential Theory - Selected Topics115, 149
Bergh J., Teillaud M. (Ed) — Effective Computational Geometry for Curves and Surfaces74
Drmac Z. (ed.), Tutek Z. (ed.), Marusic M. (ed.) — Proceedings of the Conference on Applied Mathematics and Scientific Computing109
McEneaney W.M. — Max-Plus Methods for Nonlinear Control and Estimation16
Mishra S.K., Giorgo G. — Invexity and Optimization11
Pierce B.C. — Basic category theory for computer scientists9
Goldblatt R. — Topoi45
Ericson T. — Codes on Euclidean Spheres298
Hertrich-Jeromin U. — Introduction to Mobius Differential Geometry104, 273
Chung K.L., Walsh J.B. — Markov Processes, Brownian Motion, and Time Symmetry344, 347
Szkelyhidi L. — Discrete Spectral Synthesis and Its Applications1, 9
Torn A. (Ed), Zilinskas J. (Ed) — Models and Algorithms for Global Optimization: Essays Dedicated to Antanas Zilinskas on the Occasion of His 60th Birthday8
Green J.A. — Sets and Groups7
Simon B. — The Statistical Mechanics of Lattice Gases (vol 1)154—170
Lad F. — Operational Subjective Statistical Methods. A Mathematical, Philosophical, and Historical Introduction109—111
Smith S.W. — Digital Signal Processing161, 210—212, 236
Dowling L.W. — Projective Geometry161
Yeomans J.M. — Statistical Mechanics of Phase Transitions92
Papadimitriou C.H. — Computational Complexity222, 236
Dudgeon D.E., Mersereau R.M. — Multidimensional Digital Signal Processing69, 334—335
Kadanoff L.P. — Statistical physics359, 371, 401
Wilson J.S. — Profinite groups105 ff.
Motwani R., Raghavan P. — Randomized algorithmssee “Geometric duality”
Liu Q., Erne R. — Algebraic Geometry and Arithmetic Curves243—247, 281
Sinha S.M. — Mathematical Programming: Theory and Methods177
Fulton W. — Algebraic curves96
Volakis J.L., Chatterjee A., Kempel L.C. — Finite element method for elecromagnetics11, 13
Boas R.P. — A Primer of Real Functions75, 234
Steenrod N.E. — First Concepts of Topology27
Coxeter H.S.M. — Introduction to Geometrysee also Reciprocal polyhedra
Snyder V., Sisam C.H. — Analytic Geometry of Space113
Jahne B. — Digital Image Processing486
Frampton P. — Dual Resonance Models and Superstringssee also “FESR duality”, “Global duality”, “Local duality”
Kuo W., Zuo M.J. — Optimal Reliability Modeling: Principles and Applications479
Rubinstein M., Colby R.H. — Polymer Physics391
Gruenberg K.W. — Linear Geometry85
Bratteli O., Robinson D.W. — Operator Algebras and Quantum Statistical Mechanics (vol. 1)126, 130, 169, 209
Duffie D. — Security Markets. Stochastic Models31, 32, 62
Gallier J. — Geometric Methods and Applications: For Computer Science and Engineering95
Yam T.Y. — Lectures on Modules and Rings515
Wolf-Gladrow D.A. — Lattice-gas cellular automata and lattice Boltzmann models249
Bonnans F.J., Gilbert C.J., Lemarechal C. — Numerical Optimization294
von Neumann John, Morgenstern Oscar — Theory of games and economic behavior104
Barone V., Predazzi E. — High-energy particle diffraction135, 138
van Baal P. (ed.) — Confinement, duality, and non-perturbative aspects of QCD358, 379, 385, 476, 521
Sheil-Small T. — Complex polynomials172
Nagaosa N. — Quantum field theory in condensed matter physics70, 145
Sack J.R., Urrutia J. (Ed) — Handbook of Computational Geometry52, 234, 644
Feller W. — Introduction to probability theory and its applications (volume 1)91
Held A. (ed.) — General relativity and gravitation. 100 years after the birth of Albert Einstein (volume 1)365, 375, 378
Aubin J.- P., Wilson S. — Optima and Equilibria: An Introduction to Nonlinear Analysis325, 374
Strang G. — Linear Algebra and Its Applications413, 416, 427,438
Kienzler R., Herrmann G. — Mechanics of material space: with applications to defect and fracture mechanics4, 51, 79, 141, 202
Bellman R.E. — Introduction to the mathematical theory of control processes (Volume I: Linear Equations and Quadratic Criteria)99
Kühnel W., Hunt B. — Differential Geometry: Curves - Surfaces - Manifolds356
Bellman R. — Introduction to the mathematical theory of control processes (Volume II: Nonlinear Processes)140, 202, 213, 224
Held A. (ed.) — General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein, Vol. 2365, 375, 378
Faugeras O., Luong Q., Papadopoulo T. — The Geometry of Multiple Images: The Laws That Govern the Formation of Multiple Images of a Scene and Some of Their Applications7, 8, 10, 55, 66, 89, 106—114, 116, 118, 128, 146—168, 185, 189, 190, 252, 261, 352, 354, 364, 386, 396, 406, 423, 444, 446, 459
Mercier A. — Analytical and canonical formalism in physics102
Hughston L.P., Tod K.P., Bruce J.W. — An Introduction to General Relativity39, 150
Goswami J.C., Chan A.K. — Fundamentals of Wavelets : Theory, Algorithms, and Applications93
Papadimitriou C.H., Steiglitz K. — Combinatorial Optimization: Algorithms and Complexity67—85
Aslrom K.J. — Introduction to Stochastic Control Theory238, 240, 242
Barnette D. — Map Coloring Polyhedra and the Four Color Problem86ff
Berger M., Cole M. (translator) — Geometry I (Universitext)6.5, 8.1.8, 11.1.5, 12.1.2.6, 16.5.6
Collins P.D., Squires E.J., Martin A.D. — Particle Physics and Cosmology317
Murota K. — Discrete convex analysis2, 11
Weinberg S. — The Quantum Theory of Fields. Vol. 1 Foundations232, 371
Feller W. — Introduction to probability theory and its applications (Volume II)394—398, 609—610
Deligne P., Kazhdan D., Etingof P. — Quantum fields and strings: A course for mathematicians (Vol. 1)14, 1225ff, 1456, 1488
von Neumann J. — Continuous Geometry3
Müller-Olm M. — Modular Compiler Verification: A Refinement-Algebraic Approach Advocating Stepwise Abstraction43 — 44, 46, 48, 59, 71
Fenn R. — Geometry186
Bogolubov N.N., Logunov A.A., Todorov I.T. — Introduction to Axiomatic Quantum Field Theory604
Li H., Gras G. — Class Field Theory: From Theory to Practice53, 56, 57, 97, 182, 287, 331, 332, 334, 411, 414, 443, 444, 449
Paoluzzi A. — Geometric Programming for Computer Aided Design by Alberto Paoluzzi: Book Cover * o Table of Contents Read a Sample Chapter Geometric Programming for Computer Aided Design130
Monk J.D., Bonnet R. — Handbook Of Boolean Algebras Vol.31167, 1172ff
Bratteli O., Robinson D.W. — Operator Algebras and Quantum Statistical Mechanics (vol. 2)126, 130, 169, 209, 439, 442
Kozen D.C. — The Design And Analysis Of Algorithms15
Hazewinkel M. — Handbook of Algebra (part 2)45
Pitkethly J., Davey B.A. — Dualisability: Unary Algebras and Beyond77, 14—18
Petrou M., Sevilla P.G. — Image Processing: Dealing with Texture69
Collins P.D.B., Martin A.D., Squires E.J. — Particle Physics and Cosmology317
Olver P.J., Shakiban C. — Applied linear. algebra597, 598
Coxeter H.S.M., Greitzer S.L. — Geometry revisited132
Mcmullen P., Schulte E. — Abstract Regular Polytopes28
Daniel C. Mattis — The theory of magnetism made simple: an introduction to physical concepts and to some useful mathematical methods448
Mirsky L. — Transversal theory. An account of some aspects of combinatorial mathematics32—38, 216
Neff H.P.Jr. — Introductory electromagnetics88
Bertlmann R.A. — Anomalies in Quantum Field Theory68
Estrada R., Kanwal R.P. — A distributional approach to asymptotics theory and applications59
Siegel W. — FieldsIIA7, IIIA4, C4, IXCl,XB5, C6, XIB4,6
Hatfield B. — Quantum field theory of point particles and strings664
Thayse A. — Boolean Calculus Of Differences6
Bellman R., Kalaba R. — Quasilinearization and nonlinear boundary-value problems20
Turaev V.G. — Quantum Invariants of Knots and 3-Manifolds20
Lang S. — Introduction to Algebraic and Abelian Functions53, 67—71, 122—123
König S., Zimmermann A. — Derived Equivalences For Group Rings180
Greene B. — The elegant univerce297—306, 312—16, 332—33, 381—82
M.A.Akivis, V.V.Goldberg — Projective Differential Geometry of Submanifolds129
Polchinski J. — String theory (volume 1). An introduction to the bosonic stringsee "T-duality", "World-sheet duality"
van der Giessen E., Wu T. Y. — Advances in Applied Mechanics, Volume 34303, 310
Beth T., Jungnickel D., Lenz H. — Design Theory (vol. 2)23
Baez J.C., Muniain J.P. — Gauge theories, knots, and gravity9, 149
Johnson C. — Numerical solution of partial differential equations by the finite element method97, 151
Lande A. — Foundations of quantum theory75, 76
Ryser H.J. — Combinatorial Mathematics90
Pevzner P.A. — Computational Molecular Biology An Algorithmic Approach113
Bellman R.E., Dreyfus S.E. — Applied Dynamic Programming50, 203, 204
Marks R.J.II. — The Joy of Fourier24
Gross J.L., Tucker T.W. — Topological Graph Theory (Wiley Series in Discrete Mathematics and Optimization)31, 116
Weinberg S. — The Quantum Theory of Fields. Vol. 3 Supersymmetry174—5, 292—4
Coxeter H.S.M. — The Real Projective Plane13—16, 66
Lang S. — Introduction to Algebraic and Abelian functions53, 67—71, 122—123
Bezdek A. — Discrete Geometry20
Aigner M. — Graph theory25
Struik D.J. — Lectures on Analytic and Projective GeometrySecs. 2-8, 3-3, 72
Bellman R.E. — Some vistas of modern mathematics: Dynamic programming, invariant imbedding, and the mathematical biosciences36
Hayes D.F. (ed.), Shubin T. (ed.) — Mathematical Adventures for Students and Amateurs122
Domb C.M., Green M. — Phase Transitions and Critical Phenomena: Series Expansion for Lattice Models, Vol. 3662
Sommerville D. — An introduction to the geometry of N dimensions9, 56
Bertsekas D.P. — Dynamic programming and optimal control (Vol. 2)65, 222
Bourgin R.D. — Geometric Aspects of Convex Sets with the Radon-Nikodym Property116, 143, 159, 390
Enderton H.B. — A Mathematical Introduction to Logic28
Antoine J.-P. (ed.), Tirapegui E. (ed.) — Functional Integration: Theory and Applications3
Bellman R.E., Wing G.M. — An Introduction to Invariant Imbedding186
Craven B.D. — Mathematical Programming and Control Theory38, 51, 69, 96, 98, 104, 106, 114
Goldstein L.J. — Analytic Number Theory111
Choquet-Bruhat Y., DeWitt-Morette C., Dillard-Bleick M. — Analysis, manifolds and physics. Part I.225
Fulton W. — Algebraic Curves. An Introduction to Algebraic Geometry96
Mitrinovic D.S., Pecaric J.E., Volenec V. — Recent Advances in Geometric Inequalities26, 49
Franklin G.F., Workman M.L., Powell J.D. — Digital Control of Dynamic Systems394
Goswami J., Chan A. — Fundamentals of Wavelets. Theory, Algorithms, and Applications93
Atkins P. — Molecular Quantum Mechanics6
Sommerville D.M.Y. — The elements of non-Euclidean geometry50, 100, 226
Davis H. F., Snider A. D. — Introduction to Vector Analysis221, 240
Prasolov V.V., Tikhomirov V.M. — Geometry53, 124, 128
Borovik A.V. — Mathematics under the microscope250
Itzykson C., Drouffe J-M. — Statistical field theory. Vol. 159, 345
Fink K. — A brief history of mathematics249
Zhang K., Li D. — Electromagnetic Theory for Microwaves and Optoelectronics17, 46
Christe P., Henkel M. — Introduction to conformal invariance and its applications to critical phenomena11, 102, 104, 109, 125
Verdina J. — Projective Geometry and Point Tranformations23
Siegel W. — FieldsIIA7, IIIA4, C4, IXC1, XB5, C6, XIB4, 6
Carroll R.W. — Mathematical physics316
Van Orman Quine W. — Methods of Logic59, 1, 107
Dawson D. — Introduction to Markov Chains39
Szabo R.J. — An Introduction to String Theory and D-Brane Dynamics5, 109
Katz V.J. — A History of Mathematics: An Introduction785—787
Beckenbach E.F., Bellman R. — Inequalities124, 125
Zallen R. — The Physics of Amorphous Solids60, 61, 167
Dicks W., Dunwoody M.J. — Groups acting on graphssee Poincar$\acute{e}$ and geometric duality
Gries D. — A Logical Approach to Discrete Math32, 248
Loomis L.H., Sternberg S. — Advanced calculus15, 68
Bennett C., Sharpley R.C. — Interpolation of Operators§1.4, 174
Aldous J.M., Wilson R. — Graphs and Applications: An Introductory Approach264
Atkins P.W., Friedman R.S. — Molecular Quantum Mechanics6
Bellman R. — Methods of nonlinear analysis (Vol. 2)1, 20
Cloud M.J., Drachman B.C. — Inequalities: with applications to engineering121
Plesken W. — Group Rings of Finite Groups Over P-Adic Integers73
Howes N.R — Modern Analysis and Topology149
Bjorner A. — Oriented Matroids45, 115, 135
Boissonnat J.D., Yvinec M. — Algorithmic Geometry142, 268
Gruenberg K.W., Weir A.J. — Linear Geometry85
Chung K.L., Walsh J.B — Markov Processes, Brownian Motion, and Time Symmetry344, 347
Hartshorne R. — Algebraic Geometry239—249, see also "Serre duality"
Strang G. — Introduction to Applied Mathematics88, 98, 101, 105, 623, 635, 693, 695, 727, 730, 732
HarrisR. — Nonclassical physics: beyond Newton's viewsee "Wave-particle duality"
Bjorner A., Vergnas M., Sturmfels B. — Oriented Matroids, Second edition (Encyclopedia of Mathematics and its Applications)45, 115, 135
Richter-Gebert J. — Realization Spaces of Polytopes, Vol. 16424
Deligne P., Kazhdan D., Etingof P. — Quantum fields and strings: A course for mathematicians14, 1225ff, 1456, 1488
Deligne P., Etingof P., Freed D. — Quantum fields and strings: A course for mathematicians, Vol. 2 (pages 727-1501)14, 1225ff, 1456, 1488
Biedenharn L.C., Louck J.D. — Angular momentum in quantum physics439, 452
Kneebone G.T. — Mathematical Logic and the Foundations of Mathematics: An Introductory Survey25, 108, 138, 208, 239, 240, 257, 259, 260
Ben-Ari M — Mathematical Logic for Computer Science25, 108, 138, 208, 239, 240, 257, 259, 260
Mehlhorn K. — Data structures and algorithms 3: multi-dimensional searching and computational geometry246
Monk J.D. (ed.) — Handbook of Boolean Algebras, Vol. 1107
Henkel M. — Conformal Invariance and Critical Phenomena17, 20, 67, 151, 153, 159, 182, 188
Partee B.H., Meulen A.T., Wall R.E. — Mathematical Methods in Linguistics277, 278, 280, 282, 283, 385, 401
Suppes P.(ed.) — Handbook of Proof Theory.Studies in logic the foundations of mathematics.Volume 137.739
Hazewinkel M. — Handbook of Algebra (÷àñòü 1)848
Streater R.F. — Statistical Dynamics: A Stochastic Approach to Nonequilibrium Thermodynamics6
Hartmann A.K., Rieger H. — Optimization Algorithms in Physics236
Fuchs M., Seregin G. — Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids15
Jahne B., Haubecker H. — Computer vision and applications487
Brown L., Dresden M., Hoddeson L. — Pions to quarks: Particle physics in the 1950s606, 710
Frohlich J. — Quantum Groups, Quantum Categories And Quantum Field Theory28, 84, 184
Ifrah G., Bellos D. — The Universal History of Numbers: From Prehistory to the Invention of the Computer32
Polchinski J. — String theory (volume 2). Superstring theory and beyondsee "Montonen — Olive duality", "S-duality", "String-string duality", "T-duality", "U-duality"
Gossett E. — Discrete Math with Proof57, 428
Kardar M. — Statistical physics of fields128, 184, 354
Foulds L.R. — Combinatorial optimization for undergraduates34—48
Yates R.C. — Curves and Their Properties48
Kline M. — Mathematics for the Nonmathematician242 ff.
Elliott Mendelson — Introduction to mathematical logic21, 76
Steen S. — Mathematical Logic with Special Reference to the Natural Numbers52
Nahin P.J. — When Least Is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible6, 13, 55—56, 68
Davies P. — The New Physics212
Kaufmann A., Grouchko D., Cruon R. — Mathematical models for the study of the reliability of systems65, 79, 151, 190, 199
Kleinert H. — Gauge fields in condensed matter (part 2)133
Andrews P.B. — An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof143—148
Gill A. — Applied Algebra for the Computer Sciences103, 132, 148
Collins P.D.B., Martin A.D., Squires E.J. — Particle Physics and Cosmology317
Hill F.J., Peterson G.R. — Computer Aided Logical Design with Emphasis on VLSI33, 165
Choquet-Bruhat Y., Dewitt-Morette C. — Analysis, manifolds and physics226
Beth T., Jungnickel D., Lenz H. — Design Theory (Vol. 1)23
Pastur L., Figotin A. — Spectra of Random and Almost-Periodic Operators461
Beckenbach E., Bellman R. — Inequalities (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)124, 125
John P. — Statistical Design and Analysis of Experiments (Classics in Applied Mathematics No 22. )290—291
Steen S. — Mathematical Logic52
Jost J. — Bosonic Strings: A mathematical treatment90
Mangasarian O. — Nonlinear programming113—130, 157—160, 174—176
Pallaschke D., Rolewicz S. — Foundations of Mathematical Optimization. Convex Analysis without Linearity42, 43
Bird R., de Moor O. — Algebra of programming28—30, 41, 52, 118
Jorgensen P.E.T. — Analysis and Probability: Wavelets, Signals, Fractals69, 205, 207, 212
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