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Ïîèñê êíèã, ñîäåðæàùèõ: Heat equation



ÊíèãàÑòðàíèöû äëÿ ïîèñêà
Nagel R. — One-parameter semigroups of positive operators13
Taylor M.E. — Partial Differential Equations. Basic theory (vol. 1)216, 235, 415, 423
Taylor M.E. — Partial Differential Equations. Qualitative studies of linear equations (vol. 2)88, 95, 265, 303
Heinbockel J.H. — Introduction to tensor calculus and continuum mechanics316
Abell M., Braselton J. — Differential Equations with Mathematica552
Grubb G. — Functional Calculus of Pseudo-Differential Boundary Problems1.5.1, 4.1, 4.2
Hunter J.K., Nachtergaele B. — Applied Analysis69, 161
Fritz J. — Lectures on advanced numerical analysis106
Berline N., Getzler E., Vergne M. — Heat Kernels and Dirac Operators75
Apostol T.M. — Calculus (vol 2)292 (Exercise 1)
Ito K. — Encyclopedic Dictionary of Mathematics. Vol. 2327.A, App. A, Table 15.VI
Berger M. — A Panoramic View of Riemannian Geometry79, 100—104, 405
Falconer K. — Fractal Geometry: Mathematical Foundations and Applications303
Evans L.C. — Partial Differential Equations4, 9, 44—65, 172
Acheson David — From calculus to chaos99
Olver P.J. — Equivalence, Invariants and Symmetry182, 185, 210
Neta B. — Numerical solution of partial differential equations4
Golub G.H., Ortega J.M. — Scientific Computing and Differential Equations : An Introduction to Numerical Methods247ff, 253ff, 273ff, 279ff
Mathews J.H., Fink K.D. — Numerical Methods Using MATLAB515
Donaldson K., Kronheimer P.B. — Geometry of Four-Manifolds217, 221
Birkenhake C., Lange H. — Complex Abelian Varieties226
Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 1, The basis)592
Meyer C.D. — Matrix analysis and applied linear algebra563
Henrici P. — Applied and Computational Complex Analysis (Vol. 2)237, 246, 341
Abell M.L., Braselton J.P. — Mathematica by Example289—293
Stein E.M. — Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscilattory Integrals24, 276
Arbarello E., Harris J., James R. — Geometry of Algebraic Curves (Vol. 1)24, 250
Weinberger H.F. — First course in partial defferential equations with complex variables and transform methods58, 60, 66, 92—95, 108—110, 126, 318, 322, 327, 329—332, 355—361
Showalter R.E. — Monotone Operators in Banach Space and Nonlinear Partial Differential Equations241, 258
Melrose R. — The Atiyah-Singer index theorem (part 3)279, 282
Kundu P.K., Cohen I.R. — Fluid mechanics108—109
Maple 8. Learning guide263
Nayfeh A.H., Mook D.T. — Nonlinear Oscillations608
Frisch U. — Turbulence. The legacy of A.N. Kolmogorov226
Landsman N.P. — Mathematical topics between classical and quantum mechanics425
Chorin A., Marsden J. — A Mathematical Introduction to Fluid Mechanics84, 86
Folland J.B. — Real Analysis: Modern Techniques and Their Applications275
Bellman R. — A brief introduction to theta functions16
Chaudhry M.A., Zubair S.M. — On a Class of Incomplete Gamma Functions with Applications444
Davies E. — Spectral Theory and Differential Operators99, 118, 140
Edwards H. — Advanced Calculus: A Differential Forms Approach333
Debnath L. — Nonlinear Partial Differential Equations for Scientists and Engineers7, 51
Wilmott P., Bowison S., DeWynne J. — Option Pricing: Mathematical Models and Computation79
Bergman S., Schiffer M. — Kernel Functions and Elliptic Differential Equations in Mathematical Physics2
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Dudley R.M., Fulton W. (Ed) — Real Analysis and Probability138, 481
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Falconer K.J. — Techniques in Fractal Geometry230—236, 241—245
Ablowitz M.J., Fokas A.S. — Complex Variables: Introduction and Applications303
Ivey Th.A., Landsberg J.M. — Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems350
Oksendal B. — Stochastic Differential Equations: An Introduction With Applications178
Hijab O. — Introduction to Calculus and Classical Analysis (Undergraduate Texts in Mathematics)217
Harris B. — Iterated Integrals and Cycles on Algebraic Manifolds75
Malliaris A.G., Brock W.A. — Stochastic methods in economics and finance126
Shankar R. — Basic Training In Mathematics336
Rockmore D. — Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers82
Duistermaat J.J., Kolk J.A.C. — Multidimensional Real Analysis II: Integration469, 726
Zakharov V.E. — What is integrability?34
Friedlander S.J. (Ed), Serre D. (Ed) — Handbook of Mathematical Fluid Dynamics, Vol. 377, 226, 234, 625
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Ramond P. — Field Theory: A Modern Primer116
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Lin C.C., Segel L.A. — Mathematics Applied to Deterministic Problems in the Natural Sciencessee Diffusion equation
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Chipot M., Quittner P. — Stationary Partial Differential Equations, Vol. 1288
Ablowitz M.J., Segur H. — Solitons and the Inverse Scattering Transform263, 154, 361—363, 375
Zauderer E. — Partial Differential Equations of Applied Mathematics14, 198, 206, 217, 252, 263, 289, 336, 384, 388, 407, 467, 556, 821, 823
Sokolnikoff I.S. — Mathematics of Physics and Modern Engineering414, 455
Choquet-Bruhat Y., Dewitt-Morette C. — Analysis, Manifolds and Physics (vol. 2)175
Hilgert J., Neeb K.-H. — Lie Semigroups and their Applications36
Soule C. — Lectures on Arakelov Geometry105
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Strichartz R.S. — The way of analysis519, 555, 680, 682
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Fulling S. — Aspects of Quantum Field Theory in Curved Spacetime24
Strang G. — Linear Algebra and Its Applications280
Chung F.R.K. — Spectral Graph Theory145
Rockmore D. — Stalking the Riemann Hypothesis82
Kalinins E.G. — Separation of Variables for Riemannian Spaces of Constant Curvature131
Sattinger D.H., Weaver O.L. — Lie groups and algebras with applications to physics, geometry, and mechanics25
Bak J., Newman D.J. — Complex Analysis207, 258
Courant R., Hilbert D. — Methods of Mathematical Physics, Vol. 220 — 22, 154, 188, 217
Reed M., Simon B. — Methods of Modern mathematical physics (vol. 2) Fourier analysis, self-adjointness242, 243, 245, 254
Guiseppe Da Prato — Stochastic equations in infinite dimensions124, 397
Asmar N.H. — Partial Differential Equations with fourier series and boundary value problems189, 411, 420, 503
Kincaid D., Cheney W. — Numerical analysis: mathematics of scientific computing572, 607
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Schulman L.S. — Techniques and applications of path integration55, 60, 117
Shafer G., Vovk V. — Probability and finance128, 130, 221
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Gurtin M.E. — Thermomechanics of evolving phase boundaries in the plane117
Mattheij R.M.M. — Partial differential equations: modeling, analysis, computation24, 233, 260
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Estrada R., Kanwal R.P. — A distributional approach to asymptotics theory and applications428
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Quarteroni A., Saleri F. — Scientific Computing with MATLAB188
Buser P. — Geometry and spectra of compact riemann surfaces186, 188
Berman A. — Nonnegative Matrices in the Mathematical Sciences167
Nash C. — Differential Topology and Quantum Field Theory33—35
Wilmott P., Howison S., Dewynne J. — The Mathematics of Financial Derivatives : A Student Introduction59
Drmota M., Tichy R.F. — Sequences, Discrepancies and Applications410
Carl D. Meyer — Matrix Analysis and Applied Linear Algebra Book and Solutions Manual563
Holden H., Oksendal B. — STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS150
Fordy A.P., Wood J.C. (eds.) — Harmonic maps and integrable systems34
Simmons G.F. — Differential Equations with Applications and Historical Notes3, 250
Efimov A.V. — Mathematical analysis: advanced topics. Part 2. Application of some methods of mathematical and functional analysis108
Rosenblatt M. — Random processes25
Truesdell C.A., Wang C.C. — Rational Thermodynamics494—502, see also "Fourier — Duhamel theory"
Smith P.A., Eilenberg S. — Pure and Applied Mathematics34
Gallavotti G. — Statistical Mechanics257
Harman T.L., Dabney J.B., Richert N.J. — Advanced Engineering Mathematicas with MATLAB717, 732
Rainville E. D. — Intermediate Course in Differential Equations199, 209
Abell M.L., Braselton J.P. — Differential equations with Mathematica552
Duistermaat J.J, Kolk J.A.C. — Distributions: theory and applications45
Rauch J. — Partial differential equations12, 13, 16, 40, 81, §3.6, §3.7, 131, 133, 134, §4.2, §4.3, 172ff, 177ff, 196, 211ff, 215
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Weaver H.J. — Applications of discrete and continous Fourier analysis295
Gallavotti G. — Foundations of fluid mechanics91, 92, 104, 110, 169
John Strikwerda — Finite difference schemes and partial differential equations137
Dym H., McKean H.P. — Fourier Series and Integrals60—70, 82, 107—109
Collatz L. — The numerical treatment of differential equations265, 281, 284, 288, 291, 336
Roepstorf G. — Path integral approach to quantum physics4
Anderson R.L., Ibragimov N.H. — Lie-Bäcklund transformations in applications55, 104
Varga R.S. — Matrix iterative analysis251
Churchill R.V. — Operational mathematics129, 130
Adams D.R., Hedberg L.I. — Function spaces and potential theory182
Carroll R.W. — Mathematical physics13
Lang S. — Undergraduate analysis350
Efimov A.V. — Mathematical Analysis (Advanced Topics). Part 1. General Functional Series and Their Applications241
Ivey T.A., Landsberg J.M. — Cartan for beginners: differential geometry via moving frames exterior differential systems350
Brenner P. — Besov Spaces And Applications To Difference Methods For Initial Value Problems53, 68
Neuenschwander D. — Probabilistic and Statistical Methods in Cryptology: An Introduction by Selected Topics38
Albeverio S.A., Hoegh-Krohn R.J. — Mathematical theory of Feynman path integrals6
Benfatto G., Gallavotti G. — Renormalization Group39
Braun M. — Differential Equations and Their Applications: An Introduction to Applied Mathematics479, 497
Strang G. — Introduction to Applied Mathematics160, 247, 461, 536, 538, 571
Veselic I. — Integrated density of states and Wegner estimates for random Schrodinger operators26
Zeidler E. — Applied Functional Analysis: Applications to Mathematical Physics182
Anderson J.L. — Principles of Relativity Physics79
Miller W. — Symmetry and Separation of Variables92
Streater R.F. — Statistical Dynamics: A Stochastic Approach to Nonequilibrium Thermodynamics119
Bluman G.W. — Similarity Methods for Differential Equations146, 147, 166, 206, 295, 303
Lasota A., Mackey M.C. — Probabilistic Properties of Deterministic Systems176, 208
Apostol T.M. — Calculus (Volume 2): Multi-Variable Calculus and Linear Algebra with Applications292, Exercise 1
Salmhofer M. — Renormalization: an introduction68
Morel J.-M., Solimini S. — Variational Models for Image Segmentation: with seven image processing experiments (Progress in Nonlinear Differential Equations and Their Applications)2.1
Collatz L. — Functional analysis and numerical mathematics397
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Lange H., Birkenhake C. — Complex Abelian Varieties (Grundlehren Der Mathematischen Wissenschaften)230
Hassani S. — Mathematical Methods: for Students of Physics and Related Fields543, 661—665
Bharucha-Reid A.T. — Elements of the Theory of Markov Processes and Their Applications139
Henry D. — Geometric Theory of Semilinear Parabolic Equations16, 41
Glimm J., Jaffe A. — Quantum Physics: A Functional Integral Point of View44, 288, see "Feynman — Kac formula"
Dym H., McKean H. — Fourier Series and Integrals (Probability & Mathematical Statistics Monograph)60—70, 82, 107—109
Burden R.L., Faires J.D. — Numerical analysis623
Mattheij R.M. — Partial differential equations24, 233, 260
Kalton N., Saab E. — Interaction Between Functional Analysis, Harmonic Analysis, and Probability (Lecture Notes in Pure and Applied Mathematics)85, 90, 93
Groesen E., Molenaar J. — Continuum Modeling in the Physical Sciences (Monographs on Mathematical Modeling and Computation)44
Friedman A., Littman W. — Industrial Mathematics: A Course in Solving Real-World Problems50, 53, 56, 61
Oldham K., Spanier J. — The fractional Calculus: Theory and applications of differentiation and integration to arbitrary order5
Blanchard P., Bruening E. — Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Method110, 147
Flanders H. — Differential Forms with Applications to the Physical Sciences90 ff
Bangerth W., Rannacher R. — Adaptive Finite Element Methods for Differential Equations115
Sommerfeld A. — Partial Differential Equations in Physics34
Zorich V.A., Cooke R. — Mathematical analysis II302, 583
Cheney W. — Analysis for Applied Mathematics318ff
Zorich V. — Mathematical Analysis302, 583
Falconer K. — Fractal geometry: mathematical foundations and applications303
Berman A., Plemmons R.J. — Nonnegative matrices in the mathematical sciences167
Lin C., Segel L. — Mathematics Applied to Deterministic Problems in the Natural Sciencessee "Diffusion equation"
Lin C., Segel L. — Mathematics Applied to Deterministic Problems in the Natural Sciencessee "Diffusion equation"
Rosenberg S. — The Laplacian on a Riemannian manifold5, 27
Lin C., Segel L. — Mathematics applied to deterministic problems in the natural sciencessee "Diffusion equation"
Gripenberg G., Londen S.O., Staffans O. — Volterra integral and functional equations1
Vretblad A. — Fourier Analysis and Its Applications (Graduate Texts in Mathematics)1, 9, 137, 139, 182, 223
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