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Agarwal R.P. Ч Difference Equations and Inequalities. Theory, Methods and Applications.81
 ормен “., Ћейзерсон „., –ивест –. Ч јлгоритмы: построение и анализ76
Kedlaya K.S., Poonen B., Vakil R. Ч The William Lowell Putnam Mathematical Competition 1985Ц2000: Problems, Solutions, and Commentary47, 82, 83, 93, 145, 158, 161, 239, 246, 293
Taylor M.E. Ч Partial Differential Equations. Basic theory (vol. 1)87
Bell W.W. Ч Special Functions for scientists and engineers236
Koepf W. Ч Hypergeometric Summation. An algorithmic approach to summation and special function identities.210
Henrici P. Ч Applied and Computational Complex Analysis. I: Power Series, Integration, Conformal Mapping, Location of Zeros.60, 61, 138, 578Ч585, 587, 590
Grimaldi R.P. Ч Discrete and combinatorial mathematics. An introduction310, 433Ч443, 446Ч450, 454Ч458, 466, 493Ч499, 501, 522, 817, 820, 821, 824, 825
Devroye L. Ч Generation of non-uniform random variates83, 486
Nathanson M.B. Ч Elementary methods in number theory483
Apostol T.M. Ч Introduction to Analytic Number Theory308
Davenport H. Ч Analytic methods for Diophantine equations and Diophantine inequalities4
Meirovitch L. Ч Methods of analytical dynamics342, 356, 373
Olver P.J. Ч Equivalence, Invariants and Symmetry127
Schweizer W. Ч Numerical quantum dynamics167
Henrici P. Ч Elements of numerical analysis251
Hertling C. Ч Frobenius manifolds and moduli spaces for singularities30, 36
Egorychev G.P. Ч Integral Representation and the Computation of Combinatorial Sums12
Cameron P.J. Ч Combinatorics : Topics, Techniques, Algorithms49, passim
Lueneburg H. Ч Tools and fundamental constructions of combinatorial mathematics203, 411
van Lint J.H. Ч Combinatorial theory seminar21, 27
Olver F.W.J. Ч Asymptotics and Special Functions51
Wayne C.E. Ч Seminar on Hamilton PDE16
Nayfeh A.H. Ч Perturbation Methods181, 184, 189, 190, 192, 195, 196, 200, 202, 215
Goldstein H., Poole C., Safko J. Ч Classical mechanics371, 372
Dubrovin B.A., Novikov S.P. Ч Hydrodynamics of soliton lattices12
Liboff R. Ч Kinetic Theory11
Dittrich W., Reuter M. Ч Classical and quantum dynamics54
Szego G. Ч Orthogonal polynomials35, 36
Athreya K.B., Ney P.E. Ч Branching Processes2 3, 4Ч7, 8, 67, 106Ч107, 115Ч118, 137Ч139, 182Ч183, 200Ч201, 231
Bailey N.T.J. Ч The Elements of Stochastic Processes With Applications to the Natural Sciences.3, 5 ff.
Brin M., Stuck G. Ч Introdution to dynamical system60
Bateman P.T., Diamond H.G. Ч Analytic Number Theory: An Introductory Course110
Bryant R., Griffiths P., Grossman D. Ч Exterior differential systems and Euler-Lagrange PDEs16Ч17
Skorokhod A.V., Prokhorov Y.V. (Ed) Ч Basic Principles and Applications of Probability Theory60
Hand L.N., Finch J.D. Ч Analytical Mechanics207, 210Ч217, 240Ч244 (prob)
Mahmoud H.M. Ч Evolution of random search trees11
Merris R. Ч Combinatorics165, 244, 268, 351, 415
Lando S.K., Zvonkin A.K. Ч Graphs on Surfaces and Their Applications209
Roman S. Ч The Umbral Calculussee also specific polynomial sequence
Diamond F., Shurman J. Ч First Course in Modular Forms11, 134, 179
Balakrishnan N., Nevzorov V.B. Ч A Primer on Statistical Distributions10, 11, 13, 22, 24, 33, 34, 36, 50, 64, 68, 69, 72Ч74, 81, 84, 90, 92, 96, 98, 99, 254, 255
Cartier P., Julia B., Moussa P. Ч Frontiers in Number Theory, Physics, and Geometry II627
Polyanin A., Manzhirov A.V. Ч Handbook of Mathematics for Engineers and Scientists815, 1047
Salomaa A., Soittola M. Ч Automata-Theoretic Aspects of Formal Power Series53
Knopfmacher J. Ч Abstract Analytic Number Theory58
Resnick S.I. Ч A probability path161
Hensley D. Ч Continued Fractions207
Bradley C.J. Ч Challenges in Geometry: For Mathematical Olympians Past and Present87
Comtet L. Ч Advanced Combinatorics. The Art of Finite and Infinate Expansions43
Bridges Th.J., Furter J.E. Ч Singularity Theory and Equivariant Symplectic Maps11
Ott E. Ч Chaos in dynamical systems213
Szekely G.J. Ч Paradoxes in probability theory and mathematical statisticsIII/1
Anderson I. Ч A first course in discrete mathematics26
Maugin G.A. Ч Nonlinear waves in elastic crystals228
Williamson S. Ч Combinatorics for computer science165
Agoshkov V.I., Dubovsky P.B. Ч Methods for Solving Mathematical Physics Problems160
Marcus D.A. Ч Combinatorics: A Problem Oriented Approach87, 88, 93
Koblitz N. Ч p-adic numbers, p-adic analysis, and zeta-functions110
Sandor J., Mitrinovic D.S., Crstici B. Ч Handbook of Number Theory II460, 461, 480, 483, 505, 578
Andrews G.E. Ч The Theory of Partitions221, see also Partition
Hein J.L. Ч Discrete Mathematics286Ч296, 521
Baez J.C., Segal I.E., Zhou Z. Ч Introduction to algebraic and constructive quantum field theory34, 141
Kadanoff L.P. Ч Statistical physics30
Najim K., Ikonen E., Daoud A.-K. Ч Stochastic processes. Estimation, optimization and analysis36
Purdom R.W., Brown C.A. Ч The analysis of algorithms130, 219Ч234, 306Ч308, 328 (see also УCharacteristic function of a distributionФ)
Griffits D.J. Ч Introduction to quantum mechanics44
Schouten J.A., van der Kulk W. Ч Pfaffs Problem and Its Generalizations221, 227, 232
Bowman K.O., Shenton L.R. Ч Continued Fractions in Statistical Applications39, 285
Henneaux M., Teitelboim C. Ч Quantization of Gauge Systems123, 126, 373, 379
Gonnet G.H., Baeza-Yates R. Ч Handbook of algorithms and data structures92, 118, 189
Lin C.C., Segel L.A. Ч Mathematics Applied to Deterministic Problems in the Natural Sciences76Ч77, 80
McDuff D., Salamon D. Ч Introduction to Symplectic Topology3, 275Ч277
Slade G. Ч The Lace Expansion and Its Applications2
Milovanovic G.V., Mitrinovic D.S., Rassias T.M. Ч Topics in Polynomials: Extremal Problems, Inequalities, Zeros41, 758
Kannan D. (ed.), Lakshmikantham V. (ed.) Ч Handbook of stochastic analysis and applications8
Lanzcos C. Ч The Variational Principles of Mechanics205, 228, 231
Kuo W., Zuo M.J. Ч Optimal Reliability Modeling: Principles and Applications71, 167
Schroeder M.R. Ч Schroeder, Self Similarity: Chaos, Fractals, Power Laws145, 266
Grace J.H., Young A. Ч The Algebra of Invariants330
Prigogine I. Ч Nonequilibrium statistical mechanics26, 28
Stewart J. Ч Advanced general relativity196
Aven O.I., Coffman E.G., Kogan Y.A. Ч Stochastic Analysis of Computer Storage55, 72
Greiner W., Schramm S., Stein E. Ч Quantum chromodynamics370
Kozlov V., Mazya V., Rossmann J. Ч Spectral problems associated with corner singularities of solutions to elliptic equations66
Phillips G.M. Ч Interpolation and Approximation by Polynomials17, 299
von zur Gathen J., Gerhard J. Ч Modern computer algebra661
Lebowitz J.L., Montroll E.W. Ч Nonequilibrium phenomena I. The boltzmann equation62, 68, 71, 87, 105, 111
Serra J. Ч Image Analysis and Mathematical Morphology534
Sagan B.E. Ч The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions142
Krantz S.G. Ч Techniques of Problem Solving161
Hein J.L. Ч Discrete Structures, Logic, and Computability282Ч293, 515
Beckenbach E.F. (editor), Polya G., Lehmer D.H. and others Ч Applied combinatorial mathematics67
Kubo R. Ч Statistical Mechanics: An Advanced Course with Problems and Solutions72, 109
Reutenauer Ch. Ч Free Lie Algebras156, 179
Englert B.G. (Ed) Ч Quantum Mechanics129
Lichtenberg A.J., Liebermen M.A. Ч Regular and Chaotic Dynamics173
Abdullaev S.S. Ч Construction of Mappings for Hamiltonian Systems and Their Applications5
Saaty T.L. Ч Elements of Queueing theory with applications35
Baglivo J.A. Ч Mathematica Laboratories for Mathematical Statistics: Emphasizing Simulation and Computer Intensive Methods9
Drensky V., Formanek E. Ч Polynomial Identity Rings23
Dickson L.E. Ч History of the Theory of Numbers, Volume ll: Diophantine Analysis76, 137, 139, 148, 152Ч153, 157, 160
Hörmander L. Ч The Analysis Of Linear Partial Differential Operators III26
Aigner M. Ч Combinatorial Theory196
Miller W. Ч Symmetry Groups and Their Applications203
Gardiner C.W.W., Haken H. Ч Handbook of Stochastic Methods: For Physics, Chemistry and the Natural Sciences13
Park D. Ч Introduction to the quantum theory131, 639, 640
Lebowitz J.L., Montroll E.W. Ч Nonequilibrium phenomena II. From stochastics to hydrodynamics13, 25, 51
D'Angelo J.P., West D.B. Ч Mathematical Thinking: Problem-Solving and Proofs247, 9, 254, 291, 336, 394
Kozen D.C. Ч The Design And Analysis Of Algorithms227, 265
Aczel J., Dhombres J. Ч Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences206
Bayfield J.E. Ч Quantum Evolution: An Introduction to Time-Dependent Quantum Mechanics77, 78 (Table 3.1)
Evans G.A., Blackledge J.M., Yardley P. Ч Analytic Methods for Partial Differential Equations19
Ardema M.D. Ч Analytical Dynamics: Theory and Applications283
Fuhrmann P.A. Ч A Polynomial Approach to Linear Algebra200, 253
Schulman L.S. Ч Techniques and applications of path integration243
Mehta M.L. Ч Random Matrices140, 437, 448, 506
Young R.M. Ч Excursions in Calculus: An Interplay of the Continuous and the Discrete159, 163Ч165, 167, 169, 259, 261Ч263
Kreyszig E. Ч Advanced engineering mathematics181, 216, 258
Mazo R.M. Ч Brownian Motion: Flucuations, Dynamics, and Applications113, 118, 121
Libermann P., Marle Ch.M. Ч Symplectic Geometry and Analytical Mechanics93, 487, 495
Gilmore R. Ч Lie Groups, Lie Algebras and Some of Their Applications149, 157, 172Ч175, 179, 180, 181, 382
Estrada R., Kanwal R.P. Ч A distributional approach to asymptotics theory and applications41, 284
Miller W. Ч Lie theory and special functions29
Padmanabhan T. Ч Theoretical Astrophysics: Volume 1, Astrophysical Processes63
Haight F.A. Ч Handbook of the Poisson Distribution2, 13, 14, 44
Kolchin V.F. Ч Random Graphs6
Prigogine I. Ч Proceedings of the International Symposium on Transport. Processes in Statistical Mechanics, held in Brussels,. August 27-31, 1956157
Grosche C., Steiner F. Ч Handbook of Feynman path integrals4
Miller K.S. Ч Complex stochastic processes82
Gordon H. Ч Discrete Probability165Ч181
Cusick T.W. Ч Stream Ciphers and Number Theory28
Widder D.V. Ч The Laplace transform37
Sachkov V.N. Ч Probabilistic Methods In Combinatorial Analysis10
Haller G. Ч Chaos Near Resonance11
Buser P. Ч Geometry and spectra of compact riemann surfaces205
Berg C., Christensen J.P., Ressel P. Ч Harmonic Analysis On Semigroups156, 161, 165
Perina J., Hradil Z., Jurco B. Ч Quantum optics and fundamentals of physics40, 153, 165
Klyshko D.N. Ч Photons and nonlinear optics154Ч156, 165Ч166
Woodhouse N.M.J. Ч Geometric quantization62
Kao E. Ч Introduction to Stochastic Processes6, 294
Drmota M., Tichy R.F. Ч Sequences, Discrepancies and Applications326
Padmanabhan T. Ч Cosmology and Astrophysics through Problems17, 172, 178
Rosenberg A.L. Ч Noncommutative Algebraic Geometry And Representations Of Quantized AlgebrasII.3.2.4
Friedman H.L. Ч Ionic Solution Theory Based on Cluster Expansion Methods53
Rosenblatt M. Ч Random processes18, 33, 39, 53ff.
Naimark M.A., Stern A.I. Ч Theory of Group Representations553
Alekseevskij D.V., Vinogradov A.M., Lychagin V.V. Ч Geometry I: Basic Ideas and Concepts of Differential Geometry123
Pevzner P.A. Ч Computational Molecular Biology An Algorithmic Approach36
Cox D.A., Little J., O'Shea D. Ч Using Algebraic Geometry288, 409, 410, 456
Sniatycki J. Ч Geometric quantization and quantum mechanics47-48, 49-50
Stanley R.P. Ч Enumerative Combinatorics: Volume 2(see Series)
Goldenfeld N. Ч Lectures on Phase Transitions and the Renormalization Group157
Lanczos C. Ч Variational principles of mechanics205, 228, 231
Prigogine I. Ч Monographs in Statistical Physics And Thermodynamics. Volume 1. Non-equilibrium statistical mechanics26, 28
Kreyszig E. Ч Introductory functional analysis with applications186, 187
Domb C.M., Green M. Ч Phase Transitions and Critical Phenomena: Series Expansion for Lattice Models, Vol. 316, 17, 18, 20, 21, 23, 25, 27, 29, 30, 31, 34, 39, 405
Barnett S.M., Radmore P.M. Ч Methods in Theoretical Quantum Optics93, 110, 229, 230, 231, see also "Moment generating function"
Gantmacher F. Ч Lectures in Analytical Mechanics131
Bellman L., Cooke K. L. Ч Modern elementary differential equations88
Hormander L. Ч The Analysis of Linear Partial Differential Operators IV26
Liu C.L. Ч Introduction to combinatorial mathematics25
Choquet-Bruhat Y., DeWitt-Morette C., Dillard-Bleick M. Ч Analysis, manifolds and physics. Part I.267
Haken H. Ч Synergetics: an introduction31
Hamming R.W. Ч Art of Probability for Scientists and Engineers50, 78
van Lint J.H., Wilson R.M. Ч Course in Combinatorics106, 109ff
Everest G., van der Poorten A., Shparlinski I. Ч Recurrence sequences146, 231, 234, 239
Roepstorf G. Ч Path integral approach to quantum physics10
Fox L., Parker I.B. Ч Chebyshev Polynomials in Numerical Analysis51
Grimmett G., Welsh D. Ч Probability: An Introduction45
Kashiwara M., Kawai T., Kimura T. Ч Foundations of Algebraic Analysis219
Mielke A. Ч Hamiltonian and Lagrangian Flows on Center Manifolds: With Applications to Elliptic Variational Problems36
Tzenov S.I. Ч Contemporary Accelerator Physics7, 29
Eilenberg S. Ч Automata, languages, and machines. Volume A196
Wiedemann H. Ч Particle accelerator physics II4, 7
Beckenbach E.F. (ed.) Ч Applied Combinatorial Mathematics67
Koepf W. Ч Hypergeometric summation. An algorithmic approach to summation and special function identities210
Wilf H.S., Zeilbercer D., Petkovšek M. Ч A=B22, 24
Ash R. Ч Basic probability theory169, 191ff
Gries D. Ч A Logical Approach to Discrete Math375
Pommaret J.F. Ч Systems of partial differential equations and Lie pseudogroups7.Pb
Tutte W.T. Ч Graph Theory as I Have Known It116, 118Ч120, 125
Kept R. Ч Fundamentals of the Average Case Analysis of Particular Algorithms206 A
Wiggins S. Ч Chaotic transport in dynamical systems75
Arratia R., Barbour A.D., Tavare S. Ч Logarithmic Combinatorial Structures: A Probabilistic Approach19
Neuenschwander D. Ч Probabilistic and Statistical Methods in Cryptology: An Introduction by Selected Topics59
Miwa T., Jimbo M., Date E. Ч Solitons : Differential equations, symmetries and infinite dimensional algebras43, 46, 50Ч52, 57
Percus J.K. Ч Mathematics of genome analysis24, 38, 51, 59
Miva T. Ч Solitons : Differential equations, symmetries and infinite dimensional algebras43, 46, 50Ч52, 57
Devroye L. Ч Non-Uniform Random Variate Generation83, 486
Aitken A.C. Ч Statistical mathematics15, 16, 17, 19, 148
Miller W. Ч Symmetry and Separation of Variables63, 115, 154, 155, 199, 220, 222, 256, 257, 259
Cooper R.B. Ч Introduction to queueing theorysee "Probability-generating function"
Vafa C., Zaslow E. Ч Mirror symmetry647
Streater R.F. Ч Statistical Dynamics: A Stochastic Approach to Nonequilibrium Thermodynamics135, 182, 184, 199
Dash J. Ч Quantitative Finance and Risk Management: A Physicist's Approach371
Greiner W. Ч Classical mechanics. Systems of particles and hamiltonian dynamics381
Lemm J.C. Ч Bayesian field theory332Ч339
Grimaldi R.P., Rothman D.J. Ч Discrete and Combinatorial Mathematics: An Applied Introduction303, 415Ч445, 452, 482Ч487, 489, 505, 783, 790, 791
Vassiliev V.A. Ч Applied Picard-Lefschetz Theory122
Mignotte M., Stefanescu D. Ч Polynomials: An Algorithmic Approach202
Borovskikh Y.V. Ч Random permanents7, 12, 31, 33, 36Ч38, 40, 46, 66, 72, 144, 151, 176
Gossett E. Ч Discrete Math with Proof372
Benjamin A.T., Quinn J. Ч Proofs That Really Count The Art of Combinatorial Proof104
Haus H.A. Ч Waves and Fields in Optoelectronics148
Breuer H.-P., Petruccione F. Ч The Theory of Open Quantum Systems11
Sachkov V.N. Ч Combinatorial methods in discrete mathematics103, 107
Kashiwa T., Ohnuki Y., Suzuki M. Ч Path Integral Methods9
Morandi G. Ч Statistical Mechanics: An Intermediate Course55
Ivanov O.A. Ч Easy as Pi?: An Introduction to Higher Mathematics18, 21
Godsil C. Ч Algebraic Combinatorics (Chapman Hall Crc Mathematics Series)45
Mackey G. Ч Unitary Group Representations in Physics, Probability and Number Theory320, 321, 324, 328, 329
Park D. Ч Introduction to the Quantum Theory (Pure & Applied Physics)131, 639, 640
Choquet-Bruhat Y., Dewitt-Morette C. Ч Analysis, manifolds and physics267
Rozenberg G., Salomaa A. Ч The mathematical theory of L systems33
Perina J., Hradil Z., Jurco B. Ч Quantum optics and fundamentals of physics40, 153, 165
Honsberger R. Ч Mathematical diamonds17
Koblitz N. Ч P-adic Numbers, p-adic Analysis, and Zeta-Functions, 2nd ed. (Graduate Texts in Mathematics)110
Grimaldi R.P. Ч Student Solutions Manual for Discrete and Combinatorial Mathematics303, 415Ч445, 452, 482Ч487, 489, 505, 783, 790, 791
D'Angelo J.P., West D.B. Ч Mathematical thinking: problem-solving and proofs247Ч249, 254, 291, 336, 394
Lin C., Segel L. Ч Mathematics Applied to Deterministic Problems in the Natural Sciences76Ч77, 80
Lin C., Segel L. Ч Mathematics Applied to Deterministic Problems in the Natural Sciences76Ч77, 80
Plischke M., Bergersen B. Ч Equilibrium statistical physics310, 333, 334
Lin C., Segel L. Ч Mathematics applied to deterministic problems in the natural sciences76Ч77, 80
Larson L.C. Ч Problem Solving Through Problems5.4.9
Brezinski C. Ч History of Continued Fractions and Padé Approximants119
Srivastava H.M., Manocha H.L. Ч A Treatise on Generating Functionssee "sequences"
A. Slomson Ч An Introduction to Combinatorics62
Serra J. Ч Image Analysis and Mathematical Morphology534
Knuth D.E. Ч Selected papers on discrete mathematics496, 504, 546, 553, 651Ч653
D'Angelo J.P. Ч Inequalities from Complex Analysis (Carus Mathematical Monographs)56Ч57, 86
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