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Nagel R. Ч One-parameter semigroups of positive operators13
Taylor M.E. Ч Partial Differential Equations. Basic theory (vol. 1)216, 235, 415, 423
Taylor M.E. Ч Partial Differential Equations. Qualitative studies of linear equations (vol. 2)88, 95, 265, 303
Heinbockel J.H. Ч Introduction to tensor calculus and continuum mechanics316
Abell M., Braselton J. Ч Differential Equations with Mathematica552
Grubb G. Ч Functional Calculus of Pseudo-Differential Boundary Problems1.5.1, 4.1, 4.2
Hunter J.K., Nachtergaele B. Ч Applied Analysis69, 161
Fritz J. Ч Lectures on advanced numerical analysis106
Berline N., Getzler E., Vergne M. Ч Heat Kernels and Dirac Operators75
Apostol T.M. Ч Calculus (vol 2)292 (Exercise 1)
Ito K. Ч Encyclopedic Dictionary of Mathematics. Vol. 2327.A, App. A, Table 15.VI
Berger M. Ч A Panoramic View of Riemannian Geometry79, 100Ч104, 405
Falconer K. Ч Fractal Geometry: Mathematical Foundations and Applications303
Evans L.C. Ч Partial Differential Equations4, 9, 44Ч65, 172
Acheson David Ч From calculus to chaos99
Olver P.J. Ч Equivalence, Invariants and Symmetry182, 185, 210
Neta B. Ч Numerical solution of partial differential equations4
Golub G.H., Ortega J.M. Ч Scientific Computing and Differential Equations : An Introduction to Numerical Methods247ff, 253ff, 273ff, 279ff
Mathews J.H., Fink K.D. Ч Numerical Methods Using MATLAB515
Donaldson K., Kronheimer P.B. Ч Geometry of Four-Manifolds217, 221
Birkenhake C., Lange H. Ч Complex Abelian Varieties226
Zienkiewicz O.C., Taylor L.R. Ч The finite element method (vol. 1, The basis)592
Meyer C.D. Ч Matrix analysis and applied linear algebra563
Henrici P. Ч Applied and Computational Complex Analysis (Vol. 2)237, 246, 341
Abell M.L., Braselton J.P. Ч Mathematica by Example289Ч293
Stein E.M. Ч Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscilattory Integrals24, 276
Arbarello E., Harris J., James R. Ч Geometry of Algebraic Curves (Vol. 1)24, 250
Weinberger H.F. Ч First course in partial defferential equations with complex variables and transform methods58, 60, 66, 92Ч95, 108Ч110, 126, 318, 322, 327, 329Ч332, 355Ч361
Showalter R.E. Ч Monotone Operators in Banach Space and Nonlinear Partial Differential Equations241, 258
Melrose R. Ч The Atiyah-Singer index theorem (part 3)279, 282
Kundu P.K., Cohen I.R. Ч Fluid mechanics108Ч109
Maple 8. Learning guide263
Nayfeh A.H., Mook D.T. Ч Nonlinear Oscillations608
Frisch U. Ч Turbulence. The legacy of A.N. Kolmogorov226
Landsman N.P. Ч Mathematical topics between classical and quantum mechanics425
Chorin A., Marsden J. Ч A Mathematical Introduction to Fluid Mechanics84, 86
Folland J.B. Ч Real Analysis: Modern Techniques and Their Applications275
Bellman R. Ч A brief introduction to theta functions16
Chaudhry M.A., Zubair S.M. Ч On a Class of Incomplete Gamma Functions with Applications444
Davies E. Ч Spectral Theory and Differential Operators99, 118, 140
Edwards H. Ч Advanced Calculus: A Differential Forms Approach333
Debnath L. Ч Nonlinear Partial Differential Equations for Scientists and Engineers7, 51
Wilmott P., Bowison S., DeWynne J. Ч Option Pricing: Mathematical Models and Computation79
Bergman S., Schiffer M. Ч Kernel Functions and Elliptic Differential Equations in Mathematical Physics2
Machel A.N., Wang K. Ч Qualitative Theory of Dynamical Systems: The Role of Stability Preserving Mappings103, 123, 344
Hogben L. Ч Handbook of Linear Algebra59Ч11
Dudley R.M., Fulton W. (Ed) Ч Real Analysis and Probability138, 481
Debnath L. Ч Linear Partial Differential Equations for Scientists and Engineers64, 76, 84
Strauss W.A. Ч Partial Differential Equations: An Introduction16
Falconer K.J. Ч Techniques in Fractal Geometry230Ч236, 241Ч245
Ablowitz M.J., Fokas A.S. Ч Complex Variables: Introduction and Applications303
Ivey Th.A., Landsberg J.M. Ч Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems350
Oksendal B. Ч Stochastic Differential Equations: An Introduction With Applications178
Hijab O. Ч Introduction to Calculus and Classical Analysis (Undergraduate Texts in Mathematics)217
Harris B. Ч Iterated Integrals and Cycles on Algebraic Manifolds75
Malliaris A.G., Brock W.A. Ч Stochastic methods in economics and finance126
Shankar R. Ч Basic Training In Mathematics336
Rockmore D. Ч Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers82
Duistermaat J.J., Kolk J.A.C. Ч Multidimensional Real Analysis II: Integration469, 726
Zakharov V.E. Ч What is integrability?34
Friedlander S.J. (Ed), Serre D. (Ed) Ч Handbook of Mathematical Fluid Dynamics, Vol. 377, 226, 234, 625
Friedlander S. (Ed), Serre D. (Ed) Ч Handbook of Mathematical Fluid Dynamics, Vol. 4162, 467, 496
Atkinson K.E., Han W. Ч Theoretical Numerical Analysis: A Functional Analysis Framework250
Egorov Y.U. (Ed), Gamkrelidze R.V. (Ed) Ч Partial Differential Equations I: Foundations of the Classical Theory10, 37
Lang S.A. Ч Undergraduate Analysis350
Gardiner A. Ч Infinite Processes: Background to Analysis7, 267
Ramond P. Ч Field Theory: A Modern Primer116
Cantwell B.J., Crighton D.G. (Ed), Ablowitz M.J. (Ed) Ч Introduction to Symmetry Analysis18, 248
Lin C.C., Segel L.A. Ч Mathematics Applied to Deterministic Problems in the Natural Sciencessee Diffusion equation
Ito K. Ч Encyclopedic Dictionary of Mathematics327.A, App. A, Table 15.VI
Chipot M., Quittner P. Ч Stationary Partial Differential Equations, Vol. 1288
Ablowitz M.J., Segur H. Ч Solitons and the Inverse Scattering Transform263, 154, 361Ч363, 375
Zauderer E. Ч Partial Differential Equations of Applied Mathematics14, 198, 206, 217, 252, 263, 289, 336, 384, 388, 407, 467, 556, 821, 823
Sokolnikoff I.S. Ч Mathematics of Physics and Modern Engineering414, 455
Choquet-Bruhat Y., Dewitt-Morette C. Ч Analysis, Manifolds and Physics (vol. 2)175
Hilgert J., Neeb K.-H. Ч Lie Semigroups and their Applications36
Soule C. Ч Lectures on Arakelov Geometry105
Dally W.J., Poulton J.W. Ч Digital Systems Engineering (part 2)91
Strichartz R.S. Ч The way of analysis519, 555, 680, 682
Shapira Y. Ч Solving PDEs in C++: numerical methods in a unified object-oriented approach182, 216
Fulling S. Ч Aspects of Quantum Field Theory in Curved Spacetime24
Strang G. Ч Linear Algebra and Its Applications280
Chung F.R.K. Ч Spectral Graph Theory145
Rockmore D. Ч Stalking the Riemann Hypothesis82
Kalinins E.G. Ч Separation of Variables for Riemannian Spaces of Constant Curvature131
Sattinger D.H., Weaver O.L. Ч Lie groups and algebras with applications to physics, geometry, and mechanics25
Bak J., Newman D.J. Ч Complex Analysis207, 258
Courant R., Hilbert D. Ч Methods of Mathematical Physics, Vol. 220 Ч 22, 154, 188, 217
Reed M., Simon B. Ч Methods of Modern mathematical physics (vol. 2) Fourier analysis, self-adjointness242, 243, 245, 254
Guiseppe Da Prato Ч Stochastic equations in infinite dimensions124, 397
Asmar N.H. Ч Partial Differential Equations with fourier series and boundary value problems189, 411, 420, 503
Kincaid D., Cheney W. Ч Numerical analysis: mathematics of scientific computing572, 607
Rubinstein M. Ч Rubinstein on Derivatives274
Evans G.A., Blackledge J.M., Yardley P. Ч Analytic Methods for Partial Differential Equations3, 56, 130
Egorov Y.V., Shubin M.A. Ч Partial Differential Equations I (Foundations of the Classical)10, 37
Schulman L.S. Ч Techniques and applications of path integration55, 60, 117
Shafer G., Vovk V. Ч Probability and finance128, 130, 221
Olver P.J., Shakiban C. Ч Applied linear. algebra381
Gurtin M.E. Ч Thermomechanics of evolving phase boundaries in the plane117
Mattheij R.M.M. Ч Partial differential equations: modeling, analysis, computation24, 233, 260
Bertlmann R.A. Ч Anomalies in Quantum Field Theory274Ч275
Estrada R., Kanwal R.P. Ч A distributional approach to asymptotics theory and applications428
West B.J., Bologna M., Grigolini P. Ч Physics of Fractal Operators132
Quarteroni A., Saleri F. Ч Scientific Computing with MATLAB188
Buser P. Ч Geometry and spectra of compact riemann surfaces186, 188
Berman A. Ч Nonnegative Matrices in the Mathematical Sciences167
Nash C. Ч Differential Topology and Quantum Field Theory33Ч35
Wilmott P., Howison S., Dewynne J. Ч The Mathematics of Financial Derivatives : A Student Introduction59
Drmota M., Tichy R.F. Ч Sequences, Discrepancies and Applications410
Carl D. Meyer Ч Matrix Analysis and Applied Linear Algebra Book and Solutions Manual563
Fordy A.P., Wood J.C. (eds.) Ч Harmonic maps and integrable systems34
Simmons G.F. Ч Differential Equations with Applications and Historical Notes3, 250
Efimov A.V. Ч Mathematical analysis: advanced topics. Part 2. Application of some methods of mathematical and functional analysis108
Rosenblatt M. Ч Random processes25
Truesdell C.A., Wang C.C. Ч Rational Thermodynamics494Ч502, see also "Fourier Ч Duhamel theory"
Smith P.A., Eilenberg S. Ч Pure and Applied Mathematics34
Gallavotti G. Ч Statistical Mechanics257
Harman T.L., Dabney J.B., Richert N.J. Ч Advanced Engineering Mathematicas with MATLAB717, 732
Rainville E. D. Ч Intermediate Course in Differential Equations199, 209
Abell M.L., Braselton J.P. Ч Differential equations with Mathematica552
Duistermaat J.J, Kolk J.A.C. Ч Distributions: theory and applications45
Rauch J. Ч Partial differential equations12, 13, 16, 40, 81, І3.6, І3.7, 131, 133, 134, І4.2, І4.3, 172ff, 177ff, 196, 211ff, 215
Gloub G.H., Ortega J.M. Ч Scientific Computing and Differential Equations247ff, 253ff, 273ff, 279ff
Weaver H.J. Ч Applications of discrete and continous Fourier analysis295
Gallavotti G. Ч Foundations of fluid mechanics91, 92, 104, 110, 169
John Strikwerda Ч Finite difference schemes and partial differential equations137
Dym H., McKean H.P. Ч Fourier Series and Integrals60Ч70, 82, 107Ч109
Collatz L. Ч The numerical treatment of differential equations265, 281, 284, 288, 291, 336
Roepstorf G. Ч Path integral approach to quantum physics4
Anderson R.L., Ibragimov N.H. Ч Lie-Bäcklund transformations in applications55, 104
Varga R.S. Ч Matrix iterative analysis251
Churchill R.V. Ч Operational mathematics129, 130
Adams D.R., Hedberg L.I. Ч Function spaces and potential theory182
Carroll R.W. Ч Mathematical physics13
Lang S. Ч Undergraduate analysis350
Efimov A.V. Ч Mathematical Analysis (Advanced Topics). Part 1. General Functional Series and Their Applications241
Ivey T.A., Landsberg J.M. Ч Cartan for beginners: differential geometry via moving frames exterior differential systems350
Brenner P. Ч Besov Spaces And Applications To Difference Methods For Initial Value Problems53, 68
Neuenschwander D. Ч Probabilistic and Statistical Methods in Cryptology: An Introduction by Selected Topics38
Albeverio S.A., Hoegh-Krohn R.J. Ч Mathematical theory of Feynman path integrals6
Benfatto G., Gallavotti G. Ч Renormalization Group39
Braun M. Ч Differential Equations and Their Applications: An Introduction to Applied Mathematics479, 497
Strang G. Ч Introduction to Applied Mathematics160, 247, 461, 536, 538, 571
Veselic I. Ч Integrated density of states and Wegner estimates for random Schrodinger operators26
Zeidler E. Ч Applied Functional Analysis: Applications to Mathematical Physics182
Anderson J.L. Ч Principles of Relativity Physics79
Miller W. Ч Symmetry and Separation of Variables92
Streater R.F. Ч Statistical Dynamics: A Stochastic Approach to Nonequilibrium Thermodynamics119
Bluman G.W. Ч Similarity Methods for Differential Equations146, 147, 166, 206, 295, 303
Lasota A., Mackey M.C. Ч Probabilistic Properties of Deterministic Systems176, 208
Apostol T.M. Ч Calculus (Volume 2): Multi-Variable Calculus and Linear Algebra with Applications292, Exercise 1
Salmhofer M. Ч Renormalization: an introduction68
Morel J.-M., Solimini S. Ч Variational Models for Image Segmentation: with seven image processing experiments (Progress in Nonlinear Differential Equations and Their Applications)2.1
Collatz L. Ч Functional analysis and numerical mathematics397
Jahne B., Haubecker H. Ч Computer vision and applications441
Lange H., Birkenhake C. Ч Complex Abelian Varieties (Grundlehren Der Mathematischen Wissenschaften)230
Hassani S. Ч Mathematical Methods: for Students of Physics and Related Fields543, 661Ч665
Bharucha-Reid A.T. Ч Elements of the Theory of Markov Processes and Their Applications139
Henry D. Ч Geometric Theory of Semilinear Parabolic Equations16, 41
Glimm J., Jaffe A. Ч Quantum Physics: A Functional Integral Point of View44, 288, see "Feynman Ч Kac formula"
Dym H., McKean H. Ч Fourier Series and Integrals (Probability & Mathematical Statistics Monograph)60Ч70, 82, 107Ч109
Burden R.L., Faires J.D. Ч Numerical analysis623
Wilmott P., Howison S., Dewynne J. Ч The Mathematics Of Financial Derivatives59
Mattheij R.M. Ч Partial differential equations24, 233, 260
Kalton N., Saab E. Ч Interaction Between Functional Analysis, Harmonic Analysis, and Probability (Lecture Notes in Pure and Applied Mathematics)85, 90, 93
Groesen E., Molenaar J. Ч Continuum Modeling in the Physical Sciences (Monographs on Mathematical Modeling and Computation)44
Friedman A., Littman W. Ч Industrial Mathematics: A Course in Solving Real-World Problems50, 53, 56, 61
Oldham K., Spanier J. Ч The fractional Calculus: Theory and applications of differentiation and integration to arbitrary order5
Blanchard P., Bruening E. Ч Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Method110, 147
Flanders H. Ч Differential Forms with Applications to the Physical Sciences90 ff
Bangerth W., Rannacher R. Ч Adaptive Finite Element Methods for Differential Equations115
Sommerfeld A. Ч Partial Differential Equations in Physics34
Zorich V.A., Cooke R. Ч Mathematical analysis II302, 583
Cheney W. Ч Analysis for Applied Mathematics318ff
Zorich V. Ч Mathematical Analysis302, 583
Falconer K. Ч Fractal geometry: mathematical foundations and applications303
Berman A., Plemmons R.J. Ч Nonnegative matrices in the mathematical sciences167
Lin C., Segel L. Ч Mathematics Applied to Deterministic Problems in the Natural Sciencessee "Diffusion equation"
Lin C., Segel L. Ч Mathematics Applied to Deterministic Problems in the Natural Sciencessee "Diffusion equation"
Rosenberg S. Ч The Laplacian on a Riemannian manifold5, 27
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