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, : Fourier series



Artin E. The Gamma Function30, 35
Kadison R.V., Ringrose J.R. Fundamentals of the theory of operator algebras (vol. 1) Elementary Theory95
Agarwal R.P. Difference Equations and Inequalities. Theory, Methods and Applications.857
Kedlaya K.S., Poonen B., Vakil R. The William Lowell Putnam Mathematical Competition 19852000: Problems, Solutions, and Commentary58, 216
Taylor M.E. Partial Differential Equations. Basic theory (vol. 1)177, 214, 248, 282, 479
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Spiegel M.R. Mathematical Handbook of Formulas and Tables131135
Henrici P. Applied and Computational Complex Analysis. I: Power Series, Integration, Conformal Mapping, Location of Zeros.224, 225, 226, 229, 251, 374, 377, 577
Lee J.S., Miller L.E. CDMA systems engineering handbook3641
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Falconer K. Fractal Geometry. Mathematical Foundations and applications188190
Ito K. Encyclopedic Dictionary of Mathematics. Vol. 2159, App. A, Table 11.I
Chung T.J. Computational fluid dynamics69
Berger M. A Panoramic View of Riemannian Geometry30
Falconer K. Fractal Geometry: Mathematical Foundations and Applications206
Adler R.J. An Introduction to Continuity, Extrema, and Related Topics for General Gaussian Processes16
Bulirsch R., Stoer J. Introduction to numerical analysis88
Brandwood D. Fourier Transforms in Radar and Signal Processing32
Apostol T.M. Mathematical Analysis309
Mauch S. Introduction to Methods of Applied Mathematics or Advanced Mathematical Methods for Scientists and Engineers799
Hayek S.I. Advanced mathematical methods in science and engineering88, 135, 151, 161, 163, 383
McComb W.D. Physics of Fluid Turbulence536
Felinger A. Data analysis and signal processing in chromatography20
Hoffman J.D. Numerical Methods for Engineers and Scientists608
Neta B. Numerical solution of partial differential equations27, 30
Golub G.H., Ortega J.M. Scientific Computing and Differential Equations : An Introduction to Numerical Methods251
Ferziger J.H., Peric M. Computational Methods for Fluid Dynamics60, 61, 270
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Conte S.D., de Boor C. Elementary numerical analysis - an algorithmic approach269ff.
Mathews J.H., Fink K.D. Numerical Methods Using MATLAB299
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Axler S., Bourdon p., Ramey W. Harmonic function theory82, 97
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Abell M.L., Braselton J.P. Mathematica by Example285
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Szego G. Orthogonal polynomials12, 14, 24, 25, 28, 38, 39, 244, 246, 253, 274, 289, 311, 314, 323, 347, 367. See Cesaro means
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Douglas R.G. Banach algebra techniques in operator theory55
Polya G., Latta G. Complex Variables202
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Bronson R. Differential Equations Crash Course120121
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Mahmoud H.M. Evolution of random search trees10, 20
Hancock H. Theory of Maxima and Minima74
Franklin P. Fourier Methods68
Gupta M.M., Jin L., Homma N. Static and dynamic neural networks258
Wolkenhauser O. Data Engineering: Fuzzy Mathematics in Systems Theory and Data Analysis31, 43, 4950, 216, 249
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Braselton J.P. Maple by Example281
Garnett J.B. Bounded Analytic Functions103
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Borwein P, Erdelyi T Polynomials and polynomial inequalities53
Polyanin A., Manzhirov A.V. Handbook of Mathematics for Engineers and Scientists357, 358
Shafarevich I.R., Kostrikin A.I. (ed.) Basic Notions of Algebra25, 143, 170, 177
Dudley R.M., Fulton W. (Ed) Real Analysis and Probability171173, 184, 240243, 246247, 314
Enderton H.B. Elements of set theory14
Debnath L. Linear Partial Differential Equations for Scientists and Engineers171, 173
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Rutherford D.E. Vector Methods117
Strauss W.A. Partial Differential Equations: An Introduction84, 103, 121
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Gohberg I., Goldberg S. Basic Operator Theory30
Powers D.L. Boundary Value Problems: And Partial Differential Equations6263, 124
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Yandell B. The Honors Class: Hilbert's Problems and Their Solvers28, 30, 50, 75, 336, 338, 351
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Sokolnikoff I.S. Mathematical Theory of Elasticity150
Dawson Jh.W. Logical Dilemmas: The Life and Work of Kurt Godel1243
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Aitchison I.J.R., Hey A.J.G. Gauge theories in particle physics. Volume 1: from relativistic quantum mechanics to QED354356
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Kline M. Mathematical Thought from Ancient to Modern Times, Vol. 1456459, 513514, 674678, 966972, 1040, 10461047, 1119; see also Trigonometric series
Rockmore D. Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers8384
Agoshkov V.I., Dubovsky P.B. Methods for Solving Mathematical Physics Problems10
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Wyld H.W. Mathematical Methods for Physics5859, 212
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Khuri A.I. Advanced calculus with applications in statistics471
Jones J.A., Jones J.M. Elementary Number Theory175
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Bamberg P.G. A Course in Mathematics for Students of Physics, Vol. 2743
Jones R.M. Mechanics of composite materials289, 291292, 296, 328
Spivak M. Calculus300, 303
Delves L.M. (ed.), Walsh J. (ed.) Numerical Solution of Integral Equations18, 20, 21, 43, 84, 116, 287, 292
Fripp A., Fripp J., Fripp M. Just-in-Time Math for Engineers146
Walecka J.D. Fundamentals of statistical mechanics265266
Kaczor W.J. Problems in Mathematical Analysis III: Integration82
Eubank R.L. Nonparametric regression and spline smoothing77, 79
Polya G. Problems and Theorems in Analysis: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry75, VI 30 76, VI 32 76, VI 36 76, VI 29, 32, 33, 257, IX 5 367368
Lang S.A. Undergraduate Analysis296, 303
Gardiner A. Infinite Processes: Background to Analysis11, 263, 272274, 275n
Kurth R. Dimensional analysis and group theory in astrophysics58
Altmann S.L. Band Theory of Solids: An Introduction from the Point of View of Symmetry78, 81 (49.17)
Planck M. Introduction to Theoretical Physics120128
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Planck M. Mechanics of Deformable Bodies: Being Volume II of "Introduction to Theoretical Physics"99, 109, 116
Boas R.P. A Primer of Real Functions221, 225, 231
Bowman K.O., Shenton L.R. Continued Fractions in Statistical Applications2
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Kline M. Mathematical Thought from Ancient to Modern Times, Vol. 3456459, 513514, 674678, 966972, 1040, 10461047, 1119, see also Trigonometric series
Lin C.C., Segel L.A. Mathematics Applied to Deterministic Problems in the Natural Sciences77, 131139
Ito K. Encyclopedic Dictionary of Mathematics159, App. A, Table 11.I
Menzel D.H. Mathematical Physics193, 198
Fundamentals of engineering. Supplied-reference handbook19, 135
Milovanovic G.V., Mitrinovic D.S., Rassias T.M. Topics in Polynomials: Extremal Problems, Inequalities, Zeros138
Taylor J.C. An Introduction to Measure and Probability154
Takezawa K. Introduction to Nonparametric Regression6, 16
Hale J.K., Kocak H. Dynamics and Bifurcations123
Sokolnikoff I.S. Higher Mathematics for Engineers and Physicists6382
Bredensteiner E.J. Differential Equations120121
Konopinski E.J. Electromagnetic fields and relativistic particles6768
Jahne B. Digital Image Processing45, 503
Zajac A. Optics302308
Davey W.P. A study of crystal structure and its applications315, 493
Rudin W. Real and complex analysis83, 91
Lay D.C. Linear Algebra And Its Applications399
Zauderer E. Partial Differential Equations of Applied Mathematics180, 186, 308, 347
Kress R., Gehring F.W. Numerical Analysis52
Sokolnikoff I.S. Mathematics of Physics and Modern Engineering175, 196
Kuczma M., Choczewski B., Ger R. Iterative Functional Equations415419
Page Ch.H. The Algebra of Electronics221
Gallier J. Geometric Methods and Applications: For Computer Science and Engineering169, 191
Cleland A.N. Foundations of nanomechanics50
Greenberg M.D. Advanced engineering mathematics851, 864
Kythe P.K. Fundamental Solutions for Differential Operators and Applications7, 90, 281
Berndt B.C., Evans R.J., Williams K.S. Gauss and Jacobi Sums98, 365
Born M. Atomic Physics285
Karman T., Biot A.M. Mathematical Methods in Engineering325335
Bachman G., Beckenstein E. Fourier And Wavelet Analysis144
Sheil-Small T. Complex polynomials129
Patterson S.J. An introduction to the theory of the Riemann zeta-function115, 116
Phillips G.M. Interpolation and Approximation by Polynomials57, 137
Kline M. Mathematical Thought from Ancient to Modern Times, Vol. 2456459, 513514, 674678, 966972, 1040, 10461047, 1119 (see also Trigonometric series)
Ayoub R. An Introduction to the Analytic Theory of Numbers346
Helemskii A.Ya. Lectures and Exercises on Functional Analysis, Vol. 23373
Zeldovich Ya.B., Yaglom I.M. Higher Math for Beginners386, 495, 498
Kadison R.V., Ringrose J.R. Fundamentals of the Theory of Operator Algebras (vol. 2) Advanced Theory95
Weir A.J. Lebesgue Integration and Measure188, 194199, 202219
Brillouin L. Wave Propagation in Periodic Structures2, 3, 35, 143, 184, 185, 191
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Chabert J.-L., Weeks C., Barbin E. A History of Algorithms: From the Pebble to the Microchip164, 406, 425, 427
Kubo R., Toda M., Hashitsume N. Statistical physics II. Nonequilibrium statistical mechanics15, 231
Kammler D.W. First Course in Fourier Analysis5, 173
Strichartz R.S. The way of analysisxiii, 112, 255, 267, 270, 276, 515, 624, 625, 670, 676
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Kolmogorov A.N., Fomin S.V. Introductory real analysis149, 165
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Tung W.K. Group Theory in Physics: An Introduction to Symmetry Principles, Group Representations, and Special Functions8
Montenbruck O., Pfleger Th. Astronomy on the Personal Computer108
Nahin P.J. The Science of Radio7393, 9798, 154
Bao G., Cowsar L., Masters W. Mathematical Modeling in Optical Science111, 114
Strang G. Linear Algebra and Its Applications168, 176
Bingham N.H., Goldie C.M., Teugels J.L. Regular variationsee Conditionally convergent series
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MacRobert T.M. Spherical Harmonics an Elementary Treatise on Harmonic Functions with Applications1
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Oden J.T. Finite Elements: An Introduction (Vol. 1)10
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Planck M. Theory of heat: Being volume V of "Introduction to theoretical physics"164
Berger M., Cole M. (translator) Geometry I (Universitext)12.11.9.4, 12.12.12
Hu S.-T. Elements of real analysis265, 268
Jackson J.D. Classical electrodynamics46
McComb W. D. The Physics of Fluid Turbulence536
Feller W. Introduction to probability theory and its applications (Volume II)626629, 641
Kenzel W., Reents G., Clajus M. Physics by Computer8, 54
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Billingsley P. Probability and Measure361, 26.26, 27.21
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Grimmett G., Stirzaker D. Probability and Random Processes363
Hanna J.R., Rowland J.H. Fourier Series, Transforms, and Boundary Value Problems7274
Miller W. Symmetry Groups and Their Applications215
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Asmar N.H. Partial Differential Equations with fourier series and boundary value problems17, 26-28, 281
Corduneanu C., Gheorghiu N., Barbu V. Almost Periodic Function2, 23, 160, 167, 196, 202
Hamming R.W. Numerical methods for scientists and engineers13, 445, 503
D'Angelo J.P., West D.B. Mathematical Thinking: Problem-Solving and Proofs324, 364
Patil G.P. (ed.), Rao C.R. Environmental Statistics319, 321
Animalu A.O. Intermediate Quantum Theory of Crystalline Solids120
Stratton J.A. Electromagnetic Theory285287
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Spiegel M.R. Schaum's mathematical handbook of formulas and tables131135
Chan Man Fong C.F., De Kee D., Kaloni P.N. Advanced Mathematics for Engineering and Sciences153
Shirer H.N. Nonlinear Hydrodynamic Modeling: A Mathematical Introduction47, 457, 458
Mclachlan D. X-ray crystal structure151, 196, 277
Bayfield J.E. Quantum Evolution: An Introduction to Time-Dependent Quantum Mechanics105, 140, 327
Evans G.A., Blackledge J.M., Yardley P. Analytic Methods for Partial Differential Equations14, 53, 68
Lynch D.R. Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course321
Meyer Y. Wavelets and Operators112
Vanderlugt A. Optical signal processing95, 96
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Krantz S.G. Handbook of Real Variables134
Greiner W. Classical electrodynamics73
Clemens C.H. Scrapbook of Complex Curve Theory89, 136, 166
Kaiser D. A Friendly Guide to Wavelets26
Kreyszig E. Advanced engineering mathematics211, 480, 487
Alexits G., Sneddon I.N. Convergence Problems of Orthogonal Series6
Carslaw H.S. Conduction of Heat in Solids94
Ash R.B., Doléans-Dade C.A. Probability and Measure Theory141
Holmes P., Lumley J.L., Berkooz G. Turbulence, Coherent Structures, Dynamical Systems and Symmetry87, 228
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van der Giesen E. (Editor), Wu T.Y. (Editor) Solid Mechanics, Volume 36148
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Prigogine I. From being to becoming: time and complexity in the physical sciences.40
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Haller G. Chaos Near Resonance390
Thompson W.J. Computing for Scientists and Engineers: A Workbook of Analysis, Numerics, and Applications334-349
Ralph P. Boas Jr, Alexanderson G.L., Mugler D.H. Lion Hunting and Other Mathematical Pursuits84, 99100, 164, 234, 292295
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Martin J Buerger Crystal Structure Analysis352, 358, 363
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Spiegel M.R. Schaum's outline of theory and problems of probability and statistics81, 98
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Kotz S. Breakthroughs in Statistics (volume 3)201, 212
Carl D. Meyer Matrix Analysis and Applied Linear Algebra Book and Solutions Manual299, 300
Christensen O., Christensen K.L. Approximation Theory: From Taylor Polynomials to Wavelets52
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Rektorys K. Survey of applicable mathematics702-20
Bridges D.S. Foundations Of Real And Abstract Analysis215, 288
Herriot J.G. Methods of mathematical analysis and computation155172
Sokolnikoff I.S. Mathematical Theory of Elasticity150
Grenander U. Toeplitz Forms and Their Applications12
Adomian G. Stochastic Systems4, 75, 221
Thuillard M. Wavelets in Soft Computing6
Browder A. Mathematical Analysis: An Introduction164
Rutherford D.E. Vector methods. Applied to differential geometry, mechanics, and potential theory117
Ohanian H.C. Classical Electrodynamics81
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Pedrotti L.M. Introduction to Optics174, 24850, 527
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Macrobert T.M. Functions of a complex variable86
Milnor J., Husemoller D. Symmetric Bilinear Forms129
Stavroulakis I.P., Tersian S.A. Partial Differential Equations: An Introduction with Mathematica and Maple199
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Riley, Hobson Mathematical Methods for Physics and Engineering421438
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Lovitt W.V. Linear integral equations212, 245
Peebbles P.Z. Radar Principles683
Rice J.R. Linear Theory. Volume 1. The approximation of functions124, 145
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Stratton J.A. Electromagnetic Theory285287
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Papoulis A. The Fourier Integral and Its Applications4247
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John Strikwerda Finite difference schemes and partial differential equations38
Myler H.R., Weeks A.R. Computer imaging recipes in C142
Hille E. Methods in classical and functional analysis69, 149-158
Hamming R.W. Numerical Methods For Scientists And Engineers278
Dym H., McKean H.P. Fourier Series and Integrals3046, 8185, 206209
Lindsay R.B. Mechanical Radiation70, 96, 281
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Vladimirov V. S. Equations of mathematical physics16
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Belotserkovsky S.M., Lifanov I.K. Method of Discrete Vortices214,344,391,397
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Bouman J. (ed.) Selected Topics in X-Ray Crystallography9
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Bennett C., Sharpley R.C. Interpolation of Operators156, 179, 285
Lane S.M. Mathematics, form and function181, 359, 450
Slater J.C., Frank N.H. Electromagnetism3031, 164165, 217220
Beard D.B. Quantum Mechanics1719
Matt Young Optics and Lasers: Including Fibers and Optical Waveguides7.2.1, 7.2.2
Hinrichsen D., Pritchard A. Mathematical Systems Theory I: Modelling, State Space Analysis, Stability and Robustness171, 745746
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Cloud M.J., Drachman B.C. Inequalities: with applications to engineering65, 69, 85
Howes N.R Modern Analysis and Topology353
Barry Steven, Davis Stephen Essential Mathematical Skills: For Students of Engineering, Science and Applied Mathematics119
Bear H.S. A Primer of Lebesgue Integration157
Kechris A.S., Louveau A. Descriptive Set Theory and the Structure of Sets of Uniqueness23
Kanwal R.P. Linear Integral Equations: Theory and Techniquessee "Fourier expansion"
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Miller W. Symmetry and Separation of Variables27
Schiff L.I. Quantum Mechanics59
Saha M.N., Srivastava B.N. A treatise on heat: Including kinetic theory of gasses, thermodynamics and recent advances in statistical thermodynamics588
Cohen G.L. A Course in Modern Analysis and Its Applications58, 298, 299
Greiner W. Classical mechanics. Systems of particles and hamiltonian dynamics125
Pier J.-P. Mathematical Analysis during the 20th Century129
Rektorys K. Survey of Applicable Mathematics.Volume 2.I 673, I 678
Hassani S. Mathematical Methods: for Students of Physics and Related Fields299303
Gullberg J. Mathematics: from the birth of numbers910
Borovskikh Y.V. Random permanents104
Gohberg I., Goldberg S., Kaashoek M. Classes of linear operators. (volume 2)563
Lee A. Mathematics Applied to Continuum Mechanics352353
Rice F.O., Teller E. The structure of matter212
Haus H.A. Waves and Fields in Optoelectronics19
D.E. Newland An Introduction to Random Vibration, Spectral and Wavelet Analysis33
Hopf L., Nef W. Introduction To The Differential Equations Of Physics88
Johnson W.C. Mathematical and physical principles of engineering analysis239275
Dolan T.J. Fusion Research: Principles, Experiments and Technology192
Courant R. Differential and Integral Calculus, Vol. 1437456
Lyons L. All You Wanted to Know about Mathematics but Were Afraid to Ask - Mathematics for Science Students. Volume 1112
Dym H., McKean H. Fourier Series and Integrals (Probability & Mathematical Statistics Monograph)3046, 8185, 206209,
Slater J., Frank N. Introduction to Theoretical Physics120128
Stillwell J. Mathematics and its history176, 179, 217, 314, 316, 317
Burden R.L., Faires J.D. Numerical analysis455
Woods F.S. Advanced Calculus295
Eves H.W. Mathematical circles revisited146
Mattheij R.M. Partial differential equations34, 35
Davis P., Hersh R. The Mathematical Experience256
Dickson L.E. History of the theory of numbers. Volume 3: quadratic and higher forms98, 137
Groesen E., Molenaar J. Continuum Modeling in the Physical Sciences (Monographs on Mathematical Modeling and Computation)91, 157
Planck M. Theory of light35, 37, 80
Kanwal R.P. Generalized functions: Theory and technique6567, 73, 108 ff
Lord E., Wilson C. The Mathematical Description of Shape and Form (Mathematics and Its Applications)230
Friedman A., Littman W. Industrial Mathematics: A Course in Solving Real-World Problems54, 55, 58, 59, 61, 64
Davies P. The New Physics77, 92
Shirley P., Ashikhmin M, Gleicher M. Fundamentals of computer graphics105
Sommerfeld A. Partial Differential Equations in Physics1
Zorich V.A., Cooke R. Mathematical analysis II499526
Cheney W. Analysis for Applied Mathematics42, 167
Zorich V. Mathematical Analysis499526
Young D.M., Gregory R.T. A Survey of Numerical Mathematics, Volume 2330332, 952
Falconer K. Fractal geometry: mathematical foundations and applications206
Park D. Introduction to the Quantum Theory (Pure & Applied Physics)618
Radunovic D.P. Wavelets: From Math to Practice10, 20
Moeller K. Optics: Learning by Computing, with Examples Using Maple, MathCad, Matlab, Mathematica, and Maple (Undergraduate Texts in Contemporary Physics)378
Mathews J., Walker R.L. Mathematical Methods of Physics96
Mac Lane S. Mathematics: Form and Function181, 359, 450
Jackson J.D. Classical electrodynamics68
D'Angelo J.P., West D.B. Mathematical thinking: problem-solving and proofs324, 364
Davies B. Integral Transforms and their Applications229, 252, 258, 343
Lin C., Segel L. Mathematics Applied to Deterministic Problems in the Natural Sciences77, 131139
Apostol T. Mathematical Analysis, Second Edition309
Logan J. Applied Mathematics: A Contemporary Approach180, 185
Lin C., Segel L. Mathematics applied to deterministic problems in the natural sciences77, 131139
Kline M. Mathematical thought from ancient to modern times456, 459, 513, 514, 674678, 966972, 1040, 1046, 1047, 1119, see also "Trigonometric series"
Chui C.K. Wavelets: a mathematical tool for signal processing45, 68
Dennery P., Krzywicki A. Mathematics for Physicists216223
Daniels R.W. Introduction to numerical methods and optimization techniques9197, 99
Vretblad A. Fourier Analysis and Its Applications (Graduate Texts in Mathematics)75, 220
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