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A reference list taken from Peter J. Olver's text (page footers dated 12/11/12, copyright 2012), kept in the Peter Olver Notes folder. Entries are alphabetical from Ablowitz through at least Hestenes, covering ODEs, PDEs, Fourier analysis, wavelets, solitons, numerical analysis, calculus of variations, and classical mechanics and fluids. Only the first part of the list was seen.

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References [1] Ablowitz, M.J., and Clarkson, P.A., Solitons, Nonlinear Evolution Equations and the Inverse Scattering Transform , L.M.S. Lecture Notes in Math., vol. 149, Cambridge University Press, Cambridge, 1991. [2] Abraham, R., Marsden, J.E., and Ratiu, T., Manifolds, Tensor Analysis, and Applications , Springer–Verlag, New York, 1988. [3] Abramowitz, M., and Stegun, I., Handbook of Mathematical Functions , National Bureau of Standards Appl. Math. Series, #55, U.S. Govt. Printing Office, Wash ington, D.C., 1970. [4] Ahlfors, L., Complex Analysis , McGraw–Hill, New York, 1966. [5] Airy, G.B., On the intensity of light in the neighborhood of a caust ic,Trans. Cambridge Phil. Soc. 6(1838), 379–402. [6] Aki, K., and Richards, P.G., Quantitative Seismology , W.H. Freeman, San Francisco, 1980. [7] Alligood, K.T., Sauer, T.D., and Yorke, J.A., Chaos. An Introduction to Dynamical Systems, Springer-Verlag, New York, 1997. [8] Antman, S.S., Nonlinear Problems of Elasticity , Appl. Math. Sci., vol. 107, Springer–Verlag, New York, 1995. [9] Apostol, T.M., Calculus , Blaisdell Publishing Co., Waltham, Mass., 1967–69. [10] Apostol, T.M., Introduction to Analytic Number Theory , Springer–Verlag, New York, 1976. [11] Baker, G.A., Jr., and Graves–Morris, P., Pad´ e Approximants , Encyclopedia of Mathematics and Its Applications, v. 59, Cambridge University Press, Cambridge, 1996. [12] Ball, J.M., and Mizel, V.J., One-dimensional variational problem wh ose minimizers do not satisfy the Euler-Lagrange equation, Arch. Rat. Mech. Anal. 90(1985), 325–388. [13] Batchelor, G.K., An Introduction to Fluid Dynamics , Cambridge University Press, Cambridge, 1967. [14] Bateman, H., Some recent researches on the motion of fluids, Monthly Weather Rev. 43 (1915), 63–170. [15] Behrends, E., Introduction to Markov Chains , Vieweg, Braunschweig/Wiesbaden, Germany, 2000. [16] Berest, Y., and Winternitz, P., Huygens’ principle and separati on of variables, Rev. Math. Phys.12(2000), 159–180. [17] Birkhoff, G., Hydrodynamics — A Study in Logic, Fact and Similitude , 1st ed., Princeton University Press, Princeton, 1950. [18] Birkhoff, G., and Rota, G.–C., Ordinary Differential Equations , Blaisdell Publ. Co., Waltham, Mass., 1962. [19] Blanchard, P., Devaney, R.L., and Hall, G.R., Differential Equations , Brooks–Cole Publ. Co., Pacific Grove, Calif., 1998. [20] Bollob´ as, B., Graph Theory :an Introductory Course , Graduate Texts in Mathematics, vol. 63, Springer–Verlag, New York, 1993. 12/11/12 1291 c/circlecopyrt2012 Peter J. Olver [21] Boothby, W.M., An Introduction to Differentiable Manifolds and Riemannian Geometry , Academic Press, New York, 1975. [22] Born, M., and Wolf, E., Principles of Optics , Fourth Edition, Pergamon Press, New York, 1970. [23] Bott, R., and Tu, L.W., Differential Forms in Algebraic Topology , Springer–Verlag, New York, 1982. [24] Boussinesq, J., Th´ eorie des ondes et des remous qui se propagent le long d’un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce can al des vitesses sensiblement pareilles de la surface au fond, J. Math. Pures Appl. 17(2) (1872), 55–108. [25] Boussinesq, J., Essai sur la th´ eorie des eaux courants, M´ em. Acad. Sci. Inst. Nat. France 23(1) (1877), 1–680. [26] Boyce, W.E., and DiPrima, R.C., Elementary Differential Equations and Boundary Value Problems , 7th ed., John Wiley & Sons, Inc., New York, 2001. [27] Bradie, B., A Friendly Introduction to Numerical Analysis , Prentice–Hall, Inc., Upper Saddle River, N.J., 2006. [28] Braun, M., Differential Equations and their Applications: an Introduc tion to Applied Mathematics , Springer–Verlag, New York, 1993. [29] Brigham, E.O., The Fast Fourier Transform , Prentice–Hall, Inc., Englewood Cliffs, N.J., 1974. [30] Briggs, W.L., Henson, V.E. , The DFT. An Owner’s Manual for the Discrete Fourier Transform; SIAM, Philadelphia, PA, 1995. [31] Bronstein, M., Symbolic integration I: Transcendental Functions , Springer–Verlag, New York, 1997. [32] Bronstein, M., and Lafaille, S., Solutions of linear ordinary differen tial equations in terms of special functions, in:Proceedings of the 2002 International Symposium on Symboli c and Algebraic Computation , T. Mora, ed., ACM, New York, 2002, pp. 23–28. [33] Brown, J.W., and Churchill, R.V., Fourier Series and Boundary Value Problems , McGraw-Hill, New York, 1993. [34] Buhmann, M.D., Radial basis functions, Acta Numer. 9(2000), 1–38. [35] Burden, R.L., and Faires, J.D., Numerical Analysis , Seventh Edition, Brooks/Cole, Pacific Grove, CA, 2001. [36] Burgers, J.M., A mathematical model illustrating the theory of tur bulence, Adv. Appl. Mech.1(1948), 171–199. [37] B¨ urgisser, P., Clausen, M., and Shokrollahi, M.A., Algebraic Complexity Theory , Springer–Verlag, New York, 1997. [38] Buss, S.A., 3D Computer Graphics , Cambridge University Press, Cambridge, 2003. [39] Cantwell, B.J., Introduction to Symmetry Analysis , Cambridge University Press, Cambridge, 2003. [40] Carmichael, R., The Theory of Numbers , Dover Publ., New York, 1959. [41] Clenshaw, C.W., and Olver, F.W.J., Beyond floating point, J. Assoc. Comput. Mach. 31 (1984), 319–328. [42] Coddington, E.A., and Levinson, N., Theory of Ordinary Differential Equations , McGraw–Hill, New York, 1955. [43] Cole, J.D., On a quasilinear parabolic equation occurring in aerodyn amics,Q. Appl. Math. 9(1951), 225–236. 12/11/12 1292 c/circlecopyrt2012 Peter J. Olver [44] Cooley, J.W., and Tukey, J.W., An algorithm for the machine computati on of complex Fourier series, Math. Comp. 19(1965), 297–301. [45] Copson, E.T., Partial Differential Equations , Cambridge University Press, Cambridge, 1975. [46] Courant, R., Differential and Integral Calculus , 2nd ed., Interscience Publ., New York, 1937. [47] Courant, R., and Hilbert, D., Methods of Mathematical Physics , vol. I, Interscience Publ., New York, 1953. [48] Courant, R., and Hilbert, D., Methods of Mathematical Physics , vol. II, Interscience Publ., New York, 1953. [49] Crowe, M.J., A History of Vector Analysis , Dover Publ., New York, 1985. [50] Dacorogna, B., Introduction to the Calculus of Variations , Imperial College Press, London, 2004. [51] Daubechies, I., Orthonormal bases of compactly supported wavelets, Commun. Pure Appl. Math.41(1988), 909–996. [52] Daubechies, I., Ten Lectures on Wavelets , SIAM, Philadelphia, PA, 1992. [53] Davidson, K.R., and Donsig, A.P., Real Analysis with Real Applications , Prentice–Hall, Inc., Upper Saddle River, N.J., 2002. [54] DeGroot, M.H., and Schervish, M.J., Probability and Statistics , 3rd ed., Addison–Wesley, Boston, 2002. [55] Demmel, J.W., Applied Numerical Linear Algebra , SIAM, Philadelphia, PA, 1997. [56] Devaney, R.L., An Introduction to Chaotic Dynamical Systems , Addison–Wesley, Redwood City, Calif., 1989. [57] Dewdney, A.K., The Planiverse. Computer Contact with a Two-dimensional Wo rld, Copernicus, New York, 2001. [58] Diacu, F., An Introduction to Differential Equations , W.H. Freeman and Co., New York, 2000. [59] Dirac, P.A.M., The Principles of Quantum Mechanics , Third Edition, Clarendon Press, Oxford, 1947. [60] do Carmo, M.P., Differential Geometry of Curves and Surfaces , Prentice-Hall, Englewood Cliffs, N.J., 1976. [61] Drazin, P.G., and Johnson, R.S., Solitons: An Introduction , Cambridge University Press, Cambridge, 1989. [62] Durrett, R., Essentials of Stochastic Processes , Springer–Verlag, New York, 1999. [63] Dym, H., and McKean, H.P., Fourier Series and Integrals , Academic Press, New York, 1972. [64] Farin, G.E., Curves and Surfaces for CAGD: A Practical Guide , Academic Press, London, 2002. [65] Feigenbaum, M.J., Qualitative universality for a class of nonlinear t ransformations, J. Stat. Phys. 19(1978), 25–52. [66] Feller, W., An Introduction to Probability Theory and its Applications , Third Edition., J. Wiley & Sons, New York, 1968. [67] Fermi, E., Pasta, J., and Ulam, S., Studies of nonlinear problems. I. , preprint, Los Alamos Report LA 1940, 1955; in: Nonlinear Wave Motion , A.C. Newell, ed., Lectures in Applied Math., vol. 15, American Math. Soc., Providence, R.I., 1974, pp . 143–156. [68] Field, J.V., The Invention of Infinity: Mathematics and Art in the Renaiss ance, Oxford University Press, Oxford, 1997. 12/11/12 1293 c/circlecopyrt2012 Peter J. Olver [69] Fine, B., and Rosenberger, G., The Fundamental Theorem of Algebra , Undergraduate Texts in Mathematics, Springer–Verlag, New York, 1997. [70] Fleming, W.H., Functions of Several Variables , 2d ed., Springer–Verlag, New York, 1977. [71] Fletcher, N.H., and Rossing, T.D., The Physics of Musical Instruments , Second Edition, Springer–Verlag, New York, 1998. [72] Forsyth, A.R., The Theory of Differential Equations , Cambridge University Press, Cambridge, 1890, 1900, 1902, 1906. [73] Fourier, J., The Analytical Theory of Heat , Dover Publ., New York, 1955. [74] Francis, J.G.F., The QRtransformation I, II, Comput. J. 4(1961–2), 265–271, 332–345. [75] Gaal, L., Classical Galois theory , 4th ed., Chelsea Publ. Co., New York, 1988. [76] Garabedian, P., Partial Differential Equations , 2nd ed., Chelsea Publ. Co., New York, 1986. [77] Gear, C.W., The automatic integration of stiff ordinary differential equ ations,in: Information Processing 68 , Vol. 1, North-Holland, Amsterdam, 1969, pp. 187–193. [78] Gel’fand, I.M., and Fomin, S.V., Calculus of Variations , Prentice–Hall, Inc., Englewood Cliffs, N.J., 1963. [79] Gohberg, I., and Koltracht, I., Triangular factors of Cauchy and Vandermond e matrices, Integral Eq. Operator Theory 26(1996), 46–59. [80] Goldstein, H., Classical Mechanics , Second Edition, Addison–Wesley, Reading, Mass., 1980. [81] Golub, G.H, and Van Loan, C.F., Matrix Computations , Johns Hopkins University Press, Baltimore, 1989. [82] Goode, S.W., Differential Equations and Linear Algebra , Second Ed., Prentice Hall, Upper Saddle River, NJ, 2000. [83] Gradshteyn, I.S., and Ryzhik, I.W., Table of Integrals, Series and Products , Academic Press, New York, 1965. [84] Graver, J.E., Counting on Frameworks :Mathematics to Aid the Design of Rigid Structures , Dolciani Math. Expo. No. 25, Mathematical Association of America, Washington, DC, 2001. [85] Greene, B., The Elegant Universe: Superstrings, Hidden Dimensions, an d the Quest for the Ultimate Theory , W. W. Norton, New York, 1999. [ 86] Guillemin, V., and Pollack, A., Differential Topology , Prentice–Hall, Inc., Englewood Cliffs, N.J., 1974.. [86] Guillemin, V., and Pollack, A., Differential Topology , Prentice–Hall, Inc., Englewood Cliffs, N.J., 1974. [87] Gurtin, M.E., An Introduction to Continuum Mechanics , Academic Press, New York, 1981. [88] Haar, A., Zur Theorie der orthogonalen Funktionensysteme, Math. Ann. 69(1910), 331–371. [89] Haberman, R., Elementary Applied Partial Differential Equations , Third Edition, Prentice Hall, Upper Saddle River, NJ, 1998. [90] Hairer, E., Nørsett, S.P., and Wanner, G., Solving Ordinary Differential Equations , 2nd ed., Springer–Verlag, New York, 1993–1996. [91] Hale, J.K., Ordinary Differential Equations , Second Edition, R.E. Krieger Pub. Co., Huntington, N.Y., 1980. [92] Hall, R.W., and Josi´ c, K., Planetary motion and the duality of force law s,SIAM Review 42(2000), 115–124. [93] Hall, R.W., and Josi´ c, K., The mathematics of musical instruments ,Amer. Math. Monthly 108(2001), 347–357. 12/11/12 1294 c/circlecopyrt2012 Peter J. Olver [94] Hamming, R.W., Numerical Methods for Scientists and Engineers , McGraw–Hill, New York, 1962. [95] Henrici, P., Applied and Computational Complex Analysis , vol. 1, J. Wiley & Sons, New York, 1974. [96] Herrlich, H., and Strecker, G.E., Category Theory ;an Introduction , Allyn and Bacon, Boston, 1973. [97] Herstein, I.N., Abstract Algebra , John Wiley & Sons, Inc., New York, 1999. [98] Hestenes, M.R., and Stiefel, E., Methods of conjugate gradients for solving linear systems, J. Res. Nat. Bur. Standards 49(1952), 409–436. [99] Higham, N.J., Accuracy and Stability of Numerical Algorithms , Second Edition, SIAM, Philadelphia, 2002. [100] Hille, E., Ordinary Differential Equations in the Complex Domain , John Wiley & Sons, New York, 1976. [101] Hirsch, M.W., and Smale, S., Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, New York, 1974. [102] Hobson, E.W., The Theory of Spherical and Ellipsoidal Harmonics , Chelsea Publ. Co., New York, 1965. 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