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Nagel R. — One-parameter semigroups of positive operators64, 387
Kadison R.V., Ringrose J.R. — Fundamentals of the theory of operator algebras (vol. 1) Elementary Theory108
Kedlaya K.S., Poonen B., Vakil R. — The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary9, 38, 45, 49, 63, 93, 99, 184, 207, 227, 241, 242, 270, 276
Taylor M.E. — Partial Differential Equations. Basic theory (vol. 1)17, 498
Hunter J.K., Nachtergaele B. — Applied Analysis216
Henrici P. — Applied and Computational Complex Analysis. I: Power Series, Integration, Conformal Mapping, Location of Zeros.637
Reed M., Simon B. — Methods of Modern mathematical physics (vol. 1) Functional analysis188
Apostol T.M. — Calculus (vol 2)97
Dummit D.S., Foote R.M. — Abstract algebra414, 423, 472
Lang S. — Algebra562, 582—585
Ogata K. — Modern Control Engineering968—69
Nathanson M.B. — Elementary methods in number theory146
Evans L.C. — Partial Differential Equations334, 575, 638
Anderson J.D.Jr. — Computational Fluid Dynamics : The Basics With Applications500
Bulirsch R., Stoer J. — Introduction to numerical analysis157, 158, 331, 332ff
Allen R.L., Mills D.W. — Signal analysis. Time, frequency, scale and structure534
Brown W.C. — Matrices over communicative rings214
Lipschutz Seymour — Schaum's Outline of Theory and Problems of Linear Algebra (Schaum's Outlines)284—286, 292—298, 350
Brauer F., Nohel J.A. — The qualitative theory of ordinary differential equations61—63, 75, 76, 274, 275, 278, 279, 287, 288
Gray R.M., Davisson L.D. — Introduction to statistical signal processing404
Ben-Israel A., Greville T. — Generalized inverses: Theory and applications11
Bognar J. — Indefinite Inner Product Spaces29
Felinger A. — Data analysis and signal processing in chromatography262
Olver P.J. — Equivalence, Invariants and Symmetry255
Oprea J. — Differential Geometry and Its Applications74
Finlayson B.A. — Numerical Methods for Problems With Moving Fronts477
Wesseling P. — An introduction to multigrid methods39, 146
Latrve D.R., Kreider D.L., Proctor T.G. — Hp-48G/Gx Investigations in Mathematics495
Saad Y. — Numerical Methods for Large Eigenvalue Problems4
Golub G.H., Ortega J.M. — Scientific Computing and Differential Equations : An Introduction to Numerical Methods211, 314
Korsch H.J., Jodl H.-J. — Chaos: A Program Collection for the PC99
Saad Y. — Iterative Methods for Sparse Linear Systems3
Rosenberger W.F., Lachin J.M. — Randomization in Clinical Trials : Theory and Practice44, 68, 179—180,185
Rao C.R., Toutenberg H. — Linear models: least squares and alternatives360
Kuttler K. — Introduction to linear algebra for mathematicians137
Lutkepohl H. — Handbook of Matrices13, 64, 242, 271
Iohvidov I.S. — Hankel and Toeplitz Matrices and Forms19
Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 1, The basis)478, 489, 494, 625
Nikolskii N.K. — Treatise on the Shift Operator: Spectral Function Theory32
Porter D., Stirling D.S.G. — Integral equations: a practical treatment, from spectral theory to applications95, 101, 108, 110, 120, 122, 189, 206, 218ff
Talbot N. — Using LaTeX to Write a PhD Thesis28
Millman R.S., Parker G.D. — Elements of Differential Geometry5, 128
Fulton W., Harris J. — Representation Theory: A First Course162
Goldstein H., Poole C., Safko J. — Classical mechanics247
Atkins P.W., Friedman R.S. — Molecular Quantum Mechanics551
Papapetrou A. — Lectures on general relativity44
Watkins D. — Fundamentals of matrix computations305, 505
Naber G.L. — The geometry of Minkowski spacetime: an introduction to the mathematics of the special theory of relativity105
Bailey N.T.J. — The Elements of Stochastic Processes With Applications to the Natural Sciences.47
Artin M. — Algebra117
Pugovecki E. — Quantum mechanics in hilbert space226
Gorbachuk M., Gorbachuk V. — M. G. Krein's Lectures on Entire Operators2
Debnath L., Mikusinski P. — Introduction to Hilbert Spaces with Applications176
Engel K.-J., Nagel R. — One-Parameter Semigroups for Linear Evolution Equations241
Dummit D.S., Foote R.M. — Abstract Algebra341, 383
Behnke H., Bachmann F., Fladt K. — Fundamentals of Mathematics, Volume II: Geometry553
Hagen R., Roch S., Silbermann B. — C-Algebras and Numerical Analysis12
Lim Ch., Nebus J. — Vorticity, Statistical Mechanics, and Monte Carlo Simulation54, 70, 71
Wolkenhauser O. — Data Engineering: Fuzzy Mathematics in Systems Theory and Data Analysis26, 98, 110
Merris R. — Combinatorics498
Grotschel M., Lovasz L., Schrijver A. — Geometric Algorithms and Combinatorial Optimization4
Zimand M. — Computational Complexity: A Quantitative Perspective284
Halmos P.R. — Hilbert Space Problem Book83
Lynch S. — Dynamical Systems with Applications Using Mathematica®46
Reich S., Shoikhet D. — Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces31
Beezer R.A. — A First Course in Linear Algebra401
Kohonen T. — Self-organizing maps11, 31, 54, 95, 266
Kanatani K. — Statistical Optimization for Geometric Computation: Theory and Practice37
Prugovecki E. — Quantum Mechanics in Hilbert Space226
Araki H. — Mathematical Theory of Quantum Fields202
Treil S. — Linear Algebra Done Wrong94
Allouche J.-P., Shallit J. — Automatic Sequences: Theory, Applications, Generalizations250
Cvetkovic D., Rowlinson P., Simic S. — Eigenspaces of Graphs2
Cao Z.-Q., Kim K.H., Roush F.W. — Incline algebra and applications108
Hertrich-Jeromin U. — Introduction to Mobius Differential Geometry151
Raabe D. — Computational materials science96
Reed M., Simon B. — Methods of Modern mathematical physics (vol. 3) Scattering theory188
Greiner W. — Quantum mechanics. An introduction427 ff.
Blyth T.S., Robertson E.F. — Basic Linear Algebra153, 157
Quoc N.S. — Stability and nonlinear solid mechanics53, 375
Thaller B. — Visual quantum mechanics115, 142
Weickert J. — Visualization and Processing of Tensor Fields: Proceedings of the Dagstuhl Workshop6, 124, 193—198, 203, 204,215, 225, 243, 261, 271
Hall B.C. — Lie Groups, Lie Algebras, and Representations: An Elementary Understanding291
James G., Liebeck M.W. — Representations and Characters of Groups24
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Engel K.-J., Nagel R. — Short Course on Operator Semigroups159
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Geroch R. — Mathematical physics293
Bronson R. — Schaum's Outline of Matrix Operations60
Reed M., Simon B. — Methods of Functional Analysis (in 4 volumes). Volume 1: Functional Analysis188
Atkinson K.E., Han W. — Theoretical Numerical Analysis: A Functional Analysis Framework103
Johnston R. — Numerical methods, a software approach26, 38, 74
Engel K.-J., Nagel R. — One-Parameter Semigroups for Linear Evolution Equations (preliminary version of 10 September 1998)254
Reed M., Simon B. — Methods of Modern mathematical physics (vol. 4) Analysis of operators$188^1$
Terano T., Asai K., Sugeno M. — Fuzzy systems theory and its applications121
Dudgeon D.E., Mersereau R.M. — Multidimensional Digital Signal Processing135—137
Rammer J. — Quantum transport theory36
Rudin W. — Functional analysis98
Motwani R., Raghavan P. — Randomized algorithms437
Lang S. — Undergraduate Algebra215, 233
Lang S.A. — Undergraduate Analysis413
Rall D. — Computational Solution to Nonlinear Operator Equations201
Antman S.S. — Nonlinear Problems of Elasticity141, 373
Griffits D.J. — Introduction to quantum mechanics87—88, 93
Eidelman Y., Milman V., Tsolomitis A. — Functional Analysis. An Introduction212
Szekeres P. — A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry100, 351
Lang S. — Real Analysis170, 230
Galindo A., Pascual P. — Quantum Mechanics TwoI 44, 47, 348
Menzel D.H. — Mathematical Physics102, 176
Polkinghorne J.C. — The quantum world25, 27, 87, 93
Cohn P.M. — Skew Fields : Theory of General Division Rings (Encyclopedia of Mathematics and its Applications)375
Milovanovic G.V., Mitrinovic D.S., Rassias T.M. — Topics in Polynomials: Extremal Problems, Inequalities, Zeros463
Helgason S. — Differential Geometry, Lie Groups and Symmetric Spaces156
Takezawa K. — Introduction to Nonparametric Regression56, 98, 258, 272, 441
Hale J.K., Kocak H. — Dynamics and Bifurcations229, 231, 232—237
Jahne B. — Digital Image Processing114, 399
Ionin Y.J., Shrikhande M.S. — Combinatorics of Symmetric Designs21
Berrar D.P., Dubitzky W., Granzow M. — Practical approach to microarray data analysis127
Carmo M.P. — Differential geometry of curves and surfaces216
Staffans O. — Well-Posed Linear Systemsxv, 102, 112
Kress R., Gehring F.W. — Numerical Analysis36
Gruenberg K.W. — Linear Geometry71, 135, 140
Robinson D.J.S. — A Course in Linear Algebra with Applications287, 297
Duffie D. — Security Markets. Stochastic Models181
Gallier J. — Geometric Methods and Applications: For Computer Science and Engineering312, 494
Cleland A.N. — Foundations of nanomechanics413
Greenberg M.D. — Advanced engineering mathematics542
Berndt B.C., Evans R.J., Williams K.S. — Gauss and Jacobi Sums51
Blyth T.S., Robertson E.F. — Further Linear Algebra8
Bachman G., Beckenstein E. — Fourier And Wavelet Analysis137
Dauge M. — Elliptic Boundary Value Problems On Corner Domains163
Kozlov V., Mazya V., Rossmann J. — Spectral problems associated with corner singularities of solutions to elliptic equations10
Aubin T. — Nonlinear Analysis on Manifolds: Monge-Ampere Equations75
Kadison R.V., Ringrose J.R. — Fundamentals of the Theory of Operator Algebras (vol. 2) Advanced Theory108
Tapp K. — Matrix Groups for Undergraduates147
Wiley E.O. — Phylogenetics. The theory and practice of phylogenetic systematics350
Strichartz R.S. — The way of analysis444, 521
Kolmogorov A.N., Fomin S.V. — Introductory real analysis235
Schechter M. — Spectra of partial differential operators16
Bamberg P.G., Sternberg Sh. — A Course in Mathematics for Students of Physics: Volume 159
Strang G. — Linear Algebra and Its Applications245, 247, 295, 315
Peleg Y., Pnini R., Zaarur E. — Schaum's outline of theory and problems of quantum mechanics13
Kühnel W., Hunt B. — Differential Geometry: Curves - Surfaces - Manifolds72
Beckenbach E.F. (editor), Polya G., Lehmer D.H. and others — Applied combinatorial mathematics559
Stewart G.W. — Matrix algorithms. Volume 2: Eigensystems2 (see also “Eigenpair”, “Hermitian matrix”, “Similarity transformation”)
Kubo R. — Statistical Mechanics: An Advanced Course with Problems and Solutions111
Ascher U.M., Russell R.D., Mattheij R.M. — Numerical Solution of Boundary Value Problems for Ordinary Differential Equations32
Demmel J.W. — Applied Numerical Linear Algebra140
Galindo A., Pascual P. — Quantum Mechanics One44, 47, 348
Saad Y. — Iterative methods for sparse linear systems3
Allaire G. — Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation209
Englert B.G. (Ed) — Quantum Mechanics68
Griffits D. — Introduction to elementary particles114
Granas A., Dugundji J. — Fixed Point Theory322
Kenzel W., Reents G., Clajus M. — Physics by Computer47, 59, 61, 66, 76
Duda R.O., Hart P.E., Stork D.G. — Pattern Classification11
Fenn R. — Geometry245
Âraker J.G. — Algorithms and applications in timed discrete event systems12, 16, 76, 82, 139, 145
Grimmett G., Stirzaker D. — Probability and Random Processes295, 335, 473, 492
Farin G., Hansford D. — Practical Linear Algebra: A Geometry Toolbox125, 127
Searle S.R. — Matrix algebra useful for statistics272
Kozen D.C. — The Design And Analysis Of Algorithms47
Kincaid D., Cheney W. — Numerical analysis: mathematics of scientific computing227, 555
Chan Man Fong C.F., De Kee D., Kaloni P.N. — Advanced Mathematics for Engineering and Sciences387, 600
Petrou M., Sevilla P.G. — Image Processing: Dealing with Texture386, 426
Fuhrmann P.A. — A Polynomial Approach to Linear Algebra92
Bertsekas D.P. — Dynamic programming and optimal control (Vol. 1)332
Antia H.M. — Numerical Methods for Scientists and Engineers475, 479, 500, 513, 589, 876
Olver P.J., Shakiban C. — Applied linear. algebra395, 396, 397, 406, 407, 411, 419, 426, 438, 446, 474, 487, 514, 520, 568
Bamberg P.G., Sternberg S. — A Course in Mathematics for Students of Physics, Vol. 159
Faraut J., Korányi A. — Analysis on symmetric cones150
Economou E.N. — Green's Functions in Quantum Physics4, 19
Kreyszig E. — Advanced engineering mathematics334, 864
Steeb W.- H. — Problems and Solutions in Introductory and Advanced Matrix Calculus68
Simmons G.F. — Introduction to topology and modern analysis278
D'Inverno R. — Introducing Einstein's Relatvity164, 299, 300
Mattheij R.M.M. — Partial differential equations: modeling, analysis, computation639
Shankar R. — Principles of quantum mechanics30
Greiner W., Mueller B. — Quantum mechanics: symmetries22
Gilmore R. — Lie Groups, Lie Algebras and Some of Their Applications229—234, 242, 244—246, 248, 263—265
Zeidler E. — Nonlinear Functional Analysis and Its Applications: Part 1: Fixed-Point Theorems269
Conway J.B. — A Course in Functional Analysis45, 213
Mac Lane S., Birkhoff G.D. — Algebra257, 375
Basdevant J.-L., Dalibard J. — Quantum Mechanics94, 431
Anderson G.A., Granas A. — Fixed Point Theory322
Blackford L.S., Choi J., Geary A. — ScaLAPACK User's Guide34, 47, 138
Kurosh A. — Higher Algebra200
Quarteroni A., Saleri F. — Scientific Computing with MATLAB14, 137
Efron B. — Large-Scale Inference. Empirical Bayes Methods for Estimation, Testing, and Prediction149, 151, 152
Lang S. — Real and Functional Analysis (Graduate Texts in Mathematics Series #142)426
Attouch H., Buttazzo G., Michaille G. — Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization280, 281, 286, 288, 290
Stewart G.W., Sun J. — Matrix perturbation theory14
Curtis M.L. — Abstract Linear Algebra39
Perina J., Hradil Z., Jurco B. — Quantum optics and fundamentals of physics46
Sarfraz M. — Advances in geometric modeling292
Tannehill J.C., Pletcher R.H., Anderson D.A. — Computational Fluid Mechanics and Heat Transfer36, 357—358
Pavičić M. — Quantum Computation and Quantum Communication: Theory and Experiments26, 186
Moh T.T. — Algebra224
Bazaraa M.S., Sherali H.D., Shetty C.M. — Nonlinear Programming: Theory and Algorithms755
Katznelson I., KatznelsonY.R. — A (Terse) Introduction to Linear Algebra (Student Mathematical Library)64, 86, 89
Efron B. — Large-Scale Interference. Empirical Bayes Methods for Estimation, Testing, and Prediction149, 151, 152
Demmel J. — Applied numerical linear algebra140
Blanchard P., Devaney R.L. — Differential Equations263, 266
Jähne B. — Spatio-Temporal Image Processing145
Rosenblatt M. — Random processes45, 57
Corson E.M. — Perturbation Methods in the Quantum Mechanics of N-Electron Systems6
Lang S. — Algebra562, 582—585
Reeves C.R., Rowe J.E. — Genetic Algorithms: Principles and Perspectives. A Guide to GA Theory114, 151, 242
Goertzel G. — Some Mathematical Methods of Physics60, 70
Guckenheimer J., Holmes Ph. — Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Vol. 429—12
Ortega J. M. — Iterative Solution of Nonlinear Equations in Several Variables35
Kreyszig E. — Introductory functional analysis with applications364, 372
Selig J.M. — Introductory robotics14, 19, 22, 117
Ortega J.M. — Numerical analysis: a second course6, 14, 39, 42, 45, 60, 101
Gantmacher F. — Lectures in Analytical Mechanics191
Gloub G.H., Ortega J.M. — Scientific Computing and Differential Equations211, 314
Patnaik S., Hopkins D. — Strength of Materials: A New Unified Theory for the 21st Century449
Antsaklis P.S., Michel A.N. — Linear Systems121, 122
Choquet-Bruhat Y., DeWitt-Morette C., Dillard-Bleick M. — Analysis, manifolds and physics. Part I.60
Gruber M.H.J. — Regression Estimators: A Comparative Study58, 61, 255, 268, 367, 369, 376, 379, 389
Abramovich Y.A., Aliprantis C.D. — An Invitation to Operator Theory248
Franklin G.F., Workman M.L., Powell J.D. — Digital Control of Dynamic Systems707
Birkhoff G., Mac Lane S. — A Survey of Modern Algebra265
Gallavotti G. — Foundations of fluid mechanics96
Atkins P. — Molecular Quantum Mechanics521
John Strikwerda — Finite difference schemes and partial differential equations403
Elden L. — Numerical Linear Algebra and Applications in Data Mining139
Hausner M., Schwartz J.T. — Lie groups, Lie algebras5
Hildebrand F.B. — Methods of Applied Mathematics30
Borovik A.V. — Mathematics under the microscope40
Puri P.R. — Mathematical methods of quantum optics7, 186
Amrein W.O., Sinha K.B., Jauch J.M. — Scattering Theory in Quantum Mechanics: Physical Principles and Mathematical Methods68—69, 111—112, 186
Looijenga E.J.N. — Isolated Singular Points on Complete Intersections(9.B)
Greub W.H. — Linear Algebra116
Hristev R.M. — The artificial neural network book36, 327, 347
Lang S. — Undergraduate analysis413
Tzenov S.I. — Contemporary Accelerator Physics131
Saito Y. — Statistical physics of crystal growth40, 151
Moh T.T. — Algebra224
Beckenbach E.F. (ed.) — Applied Combinatorial Mathematics559
Loomis L.H., Sternberg S. — Advanced calculus34, 258
Luenberger D.G. — Introduction to dynamic systems77, 135—150
Lane S.M. — Mathematics, form and function192
Hirsch M.W., Smale S. — Differential Equations, Dynamical Systems, and Linear Algebra42, 63
Atkins P.W., Friedman R.S. — Molecular Quantum Mechanics521
Boerner H. — Representations of Groups12
Hackbusch W. — Multi-Grid Methods and Applications252, 267
Fuzhen Zhang — Matrix theory: basic results and techniques16
Gruenberg K.W., Weir A.J. — Linear Geometry71 (ex. 4), 135ff, 140 (ex. 3), 141ff
Vilenkin N.Ja., Klimyk A.U. — Representation of Lie Groups and Special Functions: Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms30
Blum E.K., Lototsky S.V. — Mathematics of Physics and Engineering329
Zeidler E. — Applied Functional Analysis: Applications to Mathematical Physics230
Lang S. — Linear Algebra246
Tsang L., Kong J.A. — Scattering of electromagnetic waves (Vol 3. Advanced topics)278
Bates Douglas M., Watts Donald G. — Nonlinear Regression Analysis and Its Applications (Wiley Series in Probability and Statistics)173
Miller W. — Symmetry and Separation of Variables25
Apostol T.M. — Calculus (Volume 2): Multi-Variable Calculus and Linear Algebra with Applications97
Usmani R.A. — Applied Linear Algebra123
Greiner W. — Classical mechanics. Systems of particles and hamiltonian dynamics195
Zeidler E. — Oxford User's Guide to Mathematics626
Williams C.P., Clearwater S.H. — Explorations in quantum computing69, 164
Horn R.A. — Matrix Analysis57
Kozlov V., Mazya V., Rossmann J. — Elliptic boundary value problems in domains with point singularities146
Pan G.W. — Wavelets in Electromagnetics and Device Modeling12, 70, 72, 244, 245, 286—288, 290, 295
Schouten J.A. — Tensor Analysis for Physicists43, 115
Jahne B., Haubecker H. — Computer vision and applications234, 367
Rektorys K. — Survey of Applicable Mathematics.Volume 2.II 355
Hassani S. — Mathematical Methods: for Students of Physics and Related Fields224
Constantinescu F., Magyari E. — Problems in quantum mechanics2
Ma Z.-Q., Gu X.-Y. — Problems and Solutions in Group Theory for Physicists1
Geroch R. — Mathematical physics293
Mantegna R.N., Stanley H.E. — An introduction to econophysics: correlations and complexity in finance103
Higham D.J., Higham N.J. — MATLAB guide132
Sachkov V.N. — Combinatorial methods in discrete mathematics14
Berman A., Shaked-Monderer N. — Completely Positive Matrices6
Lyons L. — All You Wanted to Know about Mathematics but Were Afraid to Ask - Mathematics for Science Students. Volume 1266
Rice J. — Matrix computations and mathematical software10, 233
Robertson A.P., Robertson W. — Topological vector spaces142
Mattheij R.M. — Partial differential equations639
Akenine-Möller T. — Real-Time Renderingsee "Matrix"
Hammerlin G., Hoffmann K.-H., Schumaker L.L. — Numerical Mathematics71, 91
Ascher U., Petzold L. — Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations24
Schutz B. — Geometrical Methods in Mathematical Physics19
Petzold L. — Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations20
Marcus M., Minc H. — Introduction to Linear Algebra144
Wiedemann H. — Particle Accelerator Physics I: Basic Principles and Linear Beam Dynamics206
Cheney W. — Analysis for Applied Mathematics92
Golan J.S. — The Linear Algebra a Beginning Graduate Student Ought to Know (Texts in the Mathematical Sciences)229, 232
Clarke C.L.A., Cormack G.V. — Information Retrieval: Implementing and Evaluating Search Engines529
Tannehill J.C., Anderson D.A., Pletcher R.H. — Computational Fluid Mechanics and Heat Transfer36, 357—358
Abramovich Y., Aliprantis C. — An Invitation to Operator Theory (Graduate Studies in Mathematics, V. 50)248
Choquet-Bruhat Y., Dewitt-Morette C. — Analysis, manifolds and physics60
Joyner D. — Adventures in group theory: Rubik's cube, Merlin's machine, and other mathematical toys133
Perina J., Hradil Z., Jurco B. — Quantum optics and fundamentals of physics46
Mac Lane S. — Mathematics: Form and Function192
Geroch R. — Mathematical physics293
Klein E. — Mathematical methods in theoretical economicssee "Characteristic vectors"
Dennery P., Krzywicki A. — Mathematics for Physicists120
Bruss D. (ed.), Leuchs G. (ed.) — Lectures on Quantum Information331
Voit E. — Computational Analysis of Biochemical Systems: A Practical Guide for Biochemists and Molecular Biologists209
D'Angelo J.P. — Inequalities from Complex Analysis (Carus Mathematical Monographs)105, 155, 158
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