Bibliography

for

Maclaurin and Taylor Series

Return to Numerical Methods - Numerical Analysis

 

 

  1. Mathematical proof of closed form expressions for finite difference approximations based on Taylor series.  
    Khan, Ishtiaq Rasool; Ohba, Ryoji; Hozumi, Noriyuki
    J. Comput. Appl. Math.  150  (2003),  no. 2, 303--309, MathSciNet.  
  2. Taylor's theorem and integral expansions---a class of infinite series  
    Glaister, P.
    Internat. J. Math. Ed. Sci. Tech.  33  (2002),  no. 6, 910--926, MathSciNet.
  3. On Taylor series expansion for chaotic nonlinear systems
    Richter, H.; Stein, G.
    Chaos Solitons and Fractals, 2002, vol. 13, no. ER9, pp. 1783-1789, Ingenta.  
  4. A Taylor-series solution in Cartesian space to GMA-system equations and its application to initial-value problems.
    Shiraishi, F.; Takeuchi, H.; Hasegawa, T.; Nagasue, H.
    Appl. Math. Comput. 127 (2002), no. 1, 103--123, MathSciNet.  
  5. Taylor polynomials for nabla dynamic equations on time scales.  
    Anderson, Douglas R.
    Panamer. Math. J.  12  (2002),  no. 4, 17--27, MathSciNet.  
  6. Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations.
    Yalçinbas, Salh
    Appl. Math. Comput. 127 (2002), no. 2-3, 195--206, MathSciNet.  
  7. The Tangent Parabola
    Russell Howell and John Mathews
    The AMATYC Review, Vol. 23, No. 1, Fall 2001, pp. 25-32.
  8. Taylor's Formula via Determinants  
    Sarkaria, K. S.
    College Mathematics Journal, 2001, vol. 32, no. 1, pp. 54, Ingenta.  
  9. The Euler-Maclaurin and Taylor Formulas: Twin, Elementary Derivations  
    Vito Lampret  
    Mathematics Magazine: Volume 74, Number 2, (2001), Pages: 109-122.  
  10. The "Error" in the Indian "Taylor Series Approximation" to the Sine  
    Plofker, K.  
    Historia Mathematica, 2001, vol. 28, no. 4, pp. 283-295, Ingenta.  
  11. Illumination by Taylor polynomials  
    Horwitz, Alan
    Int. J. Math. Math. Sci. 27 (2001), no. 2, 125--130, MathSciNet.  
  12. On Taylor-series expansions of residual stress
    Pruett, C. D.; Sochacki, J. S.; Adams, N. A.
    Physics of Fluids, 2001, vol. 13, no. 9, pp. 2578-2589, Ingenta.  
  13. On the pointwise approximation by Taylor means.
    Roszak, Bogdan
    Comment. Math. Prace Mat. 41 (2001), 171--181, MathSciNet.  
  14. A discrete Taylor series method for the solution of two-point boundary-value problems.
    Jacobsohn, Guy
    J. Franklin Inst. 338 (2001), no. 1, 61--68, MathSciNet.  
  15. Modified Taylor approximation of functions with periodic behaviour.
    Martín, Pablo; García, Amelia; López, David J.
    J. Comput. Appl. Math. 130 (2001), no. 1-2, 91--97, MathSciNet.  
  16. Teaching power series along with the history of mathematics. Taylor expansion and related topics. (Japanese)
    Nagaoka, Kouichi
    J. Asahikawa Nat. College Tech. No. 38 (2001), 51--63, MathSciNet.  
  17. On Some Estimates of the Remainder in Taylor's Formula
    Anastassiou, G. A.; Dragomir, S. S.
    Journal of Mathematical Analysis and Applications, 2001, vol. 263, no. 1, pp. 246-263, Ingenta.  
  18. A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations   
    Nas, Sennur; Yalçnbas, Salih; Sezer, Mehmet
    Internat. J. Math. Ed. Sci. Tech.  31  (2000),  no. 2, 213--225, MathSciNet.  
  19. Generalization of Taylor's theorem and Newton's method via a new family of determinantal interpolation formulas and its applications
    Kalantari, B.
    Journal of Computational and Applied Mathematics, 2000, vol. 126, no. ER1-2, pp. 287-318, Ingenta.  
  20. A note on Taylor's formula, II
    Hikida, M.
    Mathematica Japonica, 2000, vol. 52, no. 1, pp. 89-94, Ingenta.  
  21. Taylor's magic splines.
    Reggio, Marcelo; Godin, Dominique
    Int. J. Comput. Math. 75 (2000), no. 4, 465--480, MathSciNet.  
  22. Oscillations of the Taylor polynomials for the sin function.
    Rothe, F.
    Nieuw Arch. Wiskd. (5) 1 (2000), no. 4, 397--398, MathSciNet.  
  23. The method of undetermined coefficients produces Taylor polynomials  
    Dobbs, David E.  
    Internat. J. Math. Ed. Sci. Tech. 30 (1999), no. 3, 425--430, Math. Sci. Net.  
  24. Maclaurin and Taylor Series for Transcendental Functions: A Graphing-Calculator View of Convergence  
    Stick, Marvin E.
    The mathematics teacher, 1999, vol. 92, no. 9, pp. 833, Ingenta.  
  25. Digital Differentiators Based on Taylor Series.
    Khan, Ishtiaq Rasool; Ohba, Ryoji
    IEICE transactions on fundamentals of electronics, communications and computer sciences, 1999, vol. 82, no. 12, pp. 2822, Ingenta.  
  26. Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series.
    Khan, Ishtiaq Rasool; Ohba, Ryoji
    J. Comput. Appl. Math. 107 (1999), no. 2, 179--193, MathSciNet.  
  27. Extrapolation of the Gravity Acceleration by Means of Taylor Series Expansion.
    Metris, G.
    Advances in Space Research, 1999, vol. 23, no. 4, pp. 689, Ingenta.  
  28. Approximation by Taylor polynomials in two-dimensional case.
    Tachev, G.
    God. Univ. Arkhit. Stroit. Geod. Sofiya Svit' k II Mat. Mekh. 39 (1996/97), 81--86 (1999), MathSciNet.  
  29. Taylor Polynomials for Rational Functions  
    Mike O'Leary  
    College Math Journal: Volume 29, Number 3, (1998), Pages: 226-228.  
  30. Maclaurin's Theorem for High School Calculus Students  
    de Bruyn, Ysbrand
    The mathematics teacher, 1998, vol. 91, no. 3, pp. 256, Ingenta.  
  31. Taylor Series Expansion of the Failure Surface.
    Progress in astronautics and aeronautics, 1998, vol. 178, pp. 135, Ingenta.  
  32. Computation and application of Taylor polynomials with interval remainder bounds  
    Berz, Martin; Hoffstätter, Georg  
    Reliab. Comput. 4 (1998), no. 1, 83--97, Math. Sci. Net.  
  33. Smooth Maclaurin series coefficients in Padé and rational approximation.  
    Lubinsky, D. S.
    Approximation theory,  363--388, Monogr. Textbooks Pure Appl. Math., 212, Dekker, New York, 1998, MathSciNet.  
  34. Taylor expansion of noncommutative polynomials.
    Gerritzen, L.
    Arch. Math. (Basel) 71 (1998), no. 4, 279--290, MathSciNet.  
  35. A Note on Taylor's Series for sin (ax + b) and cos (ax + b) (in Classroom Capsules)  
    Russell Euler  
    The College Mathematics Journal, Vol. 28, No. 4. (Sep., 1997), pp. 297-298, Jstor.  
  36. A modified Taylor series method for solving initial-value problems in ordinary differential equations.  
    Reverter, F.; Oller, J. M.
    Int. J. Comput. Math.  65  (1997),  no. 3-4, 231--246, MathSciNet.  
  37. A further example on the convergence of Taylor series  
    Glaister, P.
    Mathematics and computer education, 1996, vol. 30, no. 1, pp. 33, Ingenta.  
  38. Nonlinear Filters Based on Taylor Series Expansions.
    Tanizaki, H.; Mariano, R.S.
    Communications in statistics, 1996, vol. 25, no. 6, pp. 1261, Ingenta.  
  39. From basic to reduced bias kernel density estimators: links via Taylor series approximations.
    Jones, M. C.; Hössjer, O.
    J. Nonparametr. Statist. 7 (1996), no. 1, 23--34, MathSciNet.  
  40. Approximate solution of linear systems with point delays using Taylor series. (Spanish)
    Alastruey, Carlos F.; González de Mendívil, José R.
    Rev. Internac. Métod. Numér. Cálc. Diseñ. Ingr. 11 (1995), no. 3, 323--343, MathSciNet.  
  41. Truncation of Taylor series.
    Kuo, Tzee-Char
    Singularity theory (Trieste, 1991), 291--297, World Sci. Publishing, River Edge, NJ, 1995, MathSciNet.  
  42. Taylor's theorem with several centers and its applications. (Chinese)
    Gui, Zu Hua
    J. Shanghai Jiaotong Univ. 29 (1995), no. 2, 110--118, MathSciNet.  
  43. A generalization of Taylor's formula and its application. (Chinese)
    Sun, Xie Hua
    Math. Practice Theory 1995, no. 4, 86--89, MathSciNet.  
  44. A classroom note on the convergence of taylor series  
    Cheung, Pak-Hong
    Mathematics and computer education, 1994, vol. 28, no. 2, pp. 132, Ingenta.  
  45. The Empirical Nature of Taylor-Series Approximations to Expected Utility  
    Walter Hlawitschka  
    The American Economic Review, Vol. 84, No. 3. (Jun., 1994), pp. 713-719, Jstor.  
  46. Taylor polynomials of implicit functions, of inverse functions, and of solutions of ordinary differential equations.
    Koepf, Wolfram
    Complex Variables Theory Appl. 25 (1994), no. 1, 23--33, MathSciNet.  
  47. Approximate Taylor polynomials and differentiation of functions  
    Liu, Fon Che; Tai, Wei Shyan
    Topol. Methods Nonlinear Anal. 3 (1994), no. 1, 189--196, Math. Sci. Net.  
  48. The empirical nature of taylor-series approximations to expected utility.
    Hlawitschka, Walter
    The american economic review, 1994, vol. 84, no. 3, pp. 713, Ingenta.  
  49. On a probabilistic generalization of Taylor's theorem.
    Lin, Gwo Dong
    Statist. Probab. Lett. 19 (1994), no. 3, 239--243, MathSciNet.  
  50. Taylor series approximations of transformation kernel density estimators.
    Hössjer, Ola; Ruppert, David
    J. Nonparametr. Statist. 4 (1994), no. 2, 165--177, MathSciNet.  
  51. Taylor polynomial solutions of Volterra integral equations.
    Sezer, Mehmet
    Internat. J. Math. Ed. Sci. Tech. 25 (1994), no. 5, 625--633, MathSciNet.  
  52. The h-p version of the finite element method with Taylor polynomials.
    Tachev, G. T.
    Ann. Inst. Archit. Génie Civil Sofia Fasc. II Math. 37 (1993/94), 99--109 (1995), MathSciNet.  
  53. Maclaurin Expansion of Arctan x via L'Hospital's Rule (in Classroom Capsules)  
    Russell Euler  
    The College Mathematics Journal, Vol. 24, No. 4. (Sep., 1993), pp. 347-350, Jstor.
  54. Taylor Polynomial Approximations in Polar Coordinates  
    Sheldon P. Gordon   
    The College Mathematics Journal, Vol. 24, No. 4. (Sep., 1993), pp. 325-330.
  55. Taylor Theorem for Planar Curves  
    Abedallah Rababah  
    Proceedings of the American Mathematical Society, Vol. 119, No. 3. (Nov., 1993), pp. 803-810, Jstor.
  56. A probabilistic generalization of Taylor's theorem.
    Massey, William A.; Whitt, Ward
    Statist. Probab. Lett. 16 (1993), no. 1, 51--54, MathSciNet.  
  57. Mellin transform methods applied to integral evaluation: Taylor series and asymptotic approximations.
    Sasiela, Richard J.; Shelton, John D.
    J. Math. Phys. 34 (1993), no. 6, 2572--2617, MathSciNet.  
  58. Means and averages of Taylor polynomials.
    Horwitz, Alan
    J. Math. Anal. Appl. 176 (1993), no. 2, 404--412, MathSciNet. 
  59. Investigation of Tangent Polynomials with a Computer Algebra System
    Russell Howell and John Mathews
    The AMATYC Review, Vol. 14, No. 1, Fall 1992, pp. 20-27.
     
  60. On the Determination of the Intermediate Point in Taylor's Theorem  
    Ruben Mera  
    American Mathematical Monthly, Vol. 99, No. 1. (Jan., 1992), pp. 56-58, Jstor.
  61. Taylor series solution of a class of diffusion problem in physiology.
    Asaithambi, N.S.; Garner, J.B.
    Mathematics and computers in simulation, 1992, vol. 34, no. 6, pp. 563, Ingenta.  
  62. Taylor series approximations to Julia set scaling functions.
    Osbaldestin, A. H.; Sarkis, M. Y.
    Phys. D 57 (1992), no. 3-4, 330--336, MathSciNet.  
  63. On Taylor's formula, II.
    Hikida, M.
    Mathematica Japonicae, 1991, vol. 36, no. 5, pp. 961, Ingenta.  
  64. On Taylor's formula.
    Hikida, M.
    Mathematica Japonicae, 1991, vol. 36, no. 2, pp. 335, Ingenta.  
  65. Polynomial invariant theory and Taylor series.
    Gilbert, John E.
    Canad. J. Math. 43 (1991), no. 6, 1243--1262, MathSciNet.  
  66. Taylor's theorem  
    Sikic, Z.
    International journal of mathematical education in science and technology, 1990, vol. 21, no. 1, pp. 111, Ingenta.  
  67. Remainder Estimates in Taylor's Theorem (in The Teaching of Mathematics)  
    G. B. Folland  
    American Mathematical Monthly, Vol. 97, No. 3. (Mar., 1990), pp. 233-235, Jstor.
  68. The Remainder in Taylor's Formula  
    Esteban I. Poffald  
    American Mathematical Monthly, Vol. 97, No. 3. (Mar., 1990), pp. 205-213, Jstor.
  69. A Simple Derivation of the Maclaurin Series for Sine and Cosine (in The Teaching of Mathematics)  
    Deng Bo  
    American Mathematical Monthly, Vol. 97, No. 9. (Nov., 1990), p. 836, Jstor.
  70. Means and Taylor polynomials.  
    Horwitz, Alan
    J. Math. Anal. Appl.  149  (1990),  no. 1, 220--235, MathSciNet.  
  71. Computer Algebra Systems Approach to Teaching Taylor Polynomials
    John Mathews
    The AMATYC Review, Vol. 11, No. 1, (Part 2), Fall 1989, pp. 61-66.
  72. Taylor Polynomials (in Classroom Computer Capsules)  
    David P. Kraines; Vivian Y. Kraines; David A. Smith  
    The College Mathematics Journal, Vol. 20, No. 5. (Nov., 1989), pp. 435-436, Jstor.
  73. A Note on Taylor's Theorem (in The Teaching of Mathematics)  
    Jose A. Facenda Aguirre  
    American Mathematical Monthly, Vol. 96, No. 3. (Mar., 1989), pp. 244-247, Jstor.
  74. Taylor's Theorem Using the Generalized Riemann Integral (in The Teaching of Mathematics)  
    H. B. Thompson  
    American Mathematical Monthly, Vol. 96, No. 4. (Apr., 1989), pp. 346-350, Jstor.  
  75. Taylor polynomial interlineation of functions of two variables on several straight lines. (Russian)   
    Litvin, O. N.  
    Izv. Vyssh. Uchebn. Zaved. Mat. 1989, no. 12,19--27 translation in Soviet Math. (Iz. VUZ) 33 (1989), no. 12, 21--30, Math. Sci. Net.  
  76. Solving stiff systems by Taylor series.
    Chang, Y. F.
    Numerical ordinary differential equations (Albuquerque, NM, 1986). Appl. Math. Comput. 31 (1989), 251--269, MathSciNet.  
  77. A Comparison of Some Taylor and Chebyshev Series  
    R. E. Scraton  
    Mathematics of Computation, Vol. 50, No. 181. (Jan., 1988), pp. 207-213, Jstor.  
  78. On the Zeros of the Taylor Polynomials Associated with the Exponential Function  
    Brian Conrey; Amit Ghosh  
    The American Mathematical Monthly, Vol. 95, No. 6. (Jun. - Jul., 1988), pp. 528-533, Jstor.  
  79. A Simplification of Taylor's Theorem (in The Teaching of Mathematics)  
    Fred Brauer  
    American Mathematical Monthly, Vol. 94, No. 5. (May, 1987), pp. 453-455, Jstor.
  80. Romberg Integration by Taylor Series (in Notes)  
    Edward R. Rozema  
    American Mathematical Monthly, Vol. 94, No. 3. (Mar., 1987), pp. 284-288, Jstor.  
  81. Sign Pattern of Terms of a Maclaurin Series: Problem 86-17 (in Solutions)  
    W. B. Jordan  
    SIAM Review, Vol. 29, No. 4. (Dec., 1987), p. 634, Jstor.  
  82. Note on Taylor's formula and some applications.
    Pecari'c, J. E.; Tudor, Gh.; Crstici, B.; Savi'c, B.
    J. Approx. Theory 51 (1987), no. 1, 47--53, MathSciNet.  
  83. On the Galois groups of the exponential Taylor polynomials.
    Coleman, Robert F.
    Enseign. Math. (2) 33 (1987), no. 3-4, 183--189, MathSciNet.  
  84. Konstruktive einseitige Polynomapproximation basierend auf Taylorentwicklungen. (German) [Constructive one-sided polynomial approximation based on Taylor expansions]
    Lenze, B.
    Z. Angew. Math. Mech. 67 (1987), no. 5, T427--T428, MathSciNet.  
  85. Zur Abschätzung des Restes Taylorscher Näherungspolynome. (German) [On the estimation of the remainder of Taylor approximation polynomials]
    Vietoris, L.
    Anz. Österreich. Akad. Wiss. Math.-Natur. Kl. 123 (1986), 131--134 (1987), MathSciNet.  
  86. Best Rational Approximations of Entire Functions Whose Maclaurin Series Coefficients Decrease Rapidly and Smoothly  
    A. L. Levin; D. S. Lubinsky  
    Transactions of the American Mathematical Society, Vol. 293, No. 2. (Feb., 1986), pp. 533-545, Jstor.  
  87. Numerical algorithm for Taylor series expansion.
    Hosono, Toshio
    Electron. Comm. Japan Part I Comm. 69 (1986), no. 6, 10--18, MathSciNet.  
  88. On second-order Taylor's-series approximation and linear homogeneity.
    Färe, Rolf; Sung, Keuk Je
    Aequationes Math. 30 (1986), no. 2-3, 180--186, MathSciNet.  
  89. Polynomial Taylor interlination of functions of two variables on several lines. (Russian)
    Litvin, O. N.
    Dokl. Akad. Nauk Ukrain. SSR Ser. A 1986, no. 9, 10--14, 87, MathSciNet.  
  90. Eine Verschärfung der Abschätzung des Restes Taylorscher Näherungspolynome. (German) [An improvement of the estimate of the remainder term of Taylor polynomials]
    Vietoris, L.
    Monatsh. Math. 102 (1986), no. 1, 85--89, MathSciNet.  
  91. Rediscovering Taylor's Theorem  
    Dan Kalman  
    The College Mathematics Journal, Vol. 16, No. 2. (Mar., 1985), pp. 103-107, Jstor.
  92. More--and Moore--Power Series Without Taylor's Theorem (in The Teaching of Mathematics)  
    I. E. Leonard, James Duemmel  
    American Mathematical Monthly, Vol. 92, No. 8. (Oct., 1985), pp. 588-589, Jstor.
  93. The Inclusion-Exclusion Probability Formulas by Taylor's Theorem (in Notes)  
    Solomon Leader  
    American Mathematical Monthly, Vol. 92, No. 5. (May, 1985), pp. 343-345, Jstor.   
  94. Taylor series for the Dirac function on perturbed surfaces with applications to mechanics.
    Caboz, R.; Codaccioni, J.-P.; Constantinescu, F.
    Math. Methods Appl. Sci. 7 (1985), no. 4, 416--425, MathSciNet.  
  95. Application of generalized Taylor series in the theory of differential equations with deviating argument. (Russian)
    Malitskii, I. I.
    Dokl. Akad. Nauk Ukrain. SSR Ser. A 1985, no. 10, 17--18, 85, MathSciNet.  
  96. Polynomial approximation of an entire function and rate of growth of Taylor coefficients.
    Freund, M.; Görlich, E.
    Proc. Edinburgh Math. Soc. (2) 28 (1985), no. 3, 341--348, MathSciNet.  
  97. Power Series Without Taylor's Theorem (in The Teaching of Mathematics)  
    Wells Johnson  
    American Mathematical Monthly, Vol. 91, No. 6. (Jun. - Jul., 1984), pp. 367-369, Jstor.
  98. Taylor series revisited.
    Olive, Gloria
    J. Math. Anal. Appl. 104 (1984), no. 1, 274--284, MathSciNet.  
  99. Near-best Lp approximations by Fourier, Taylor and Laurent series.
    Mason, J. C.; Chalmers, B. L.
    IMA J. Numer. Anal. 4 (1984), no. 1, 1--8, MathSciNet.  
  100. A summability approximation theorem for Taylor series of meromorphic functions.
    Tomm, Ludwig
    J. Reine Angew. Math. 339 (1983), 133--146, MathSciNet.  
  101. On the Lagrange Remainder of the Taylor Formula (in Notes)  
    Alfonso G. Azpeitia  
    American Mathematical Monthly, Vol. 89, No. 5. (May, 1982), pp. 311-312, Jstor.
  102. Solving ordinary differential equations using Taylor series.
    Corliss, George; Chang, Y. F.
    ACM Trans. Math. Software 8 (1982), no. 2, 114--144, MathSciNet.  
  103. Evaluation of higher-order semiclassical phase integrals: application of Chebyshev series approximation and Taylor series expansion.
    Luppi, Jussi; Pajunen, Petri
    J. Chem. Phys. 77 (1982), no. 3, 1505--1511, MathSciNet.  
  104. Generalization of the Taylor, Newton and Lagrange formulas and their applications to the solution of differential and difference equations. (Russian)
    Filer, Z. E.
    Approximate methods for investigating differential equations and their applications, 147--156, Kui byshev. Gos. Univ., Kuybyshev, 1982, MathSciNet.  
  105. Every Power Series is a Taylor Series (in Classroom Notes)  
    Mark D. Meyerson  
    American Mathematical Monthly, Vol. 88, No. 1. (Jan., 1981), pp. 51-52, Jstor.
  106. Modified Convergence of Taylor Series (in Classroom Notes)  
    Robert D. Small  
    American Mathematical Monthly, Vol. 88, No. 6. (Jun. - Jul., 1981), pp. 439-441, Jstor.
  107. Taylor-Dirichlet Series and Algebraic Differential-Difference Equations  
    Frank Wadleigh  
    Proceedings of the American Mathematical Society, Vol. 80, No. 1. (Sep., 1980), pp. 83-89, Jstor.
  108. Boundary Values of Absolutely Convergent Taylor Series  
    Aharon Atzmon  
    The Annals of Mathematics, 2nd Ser., Vol. 111, No. 2. (Mar., 1980), pp. 231-237, Jstor.
  109. On Taylor series and stiff equations.
    Barton, David
    ACM Trans. Math. Software 6 (1980), no. 3, 280--294, MathSciNet.  
  110. Taylor Polynomials and Difference Quotients (in Mathematical Notes)  
    Richard J. Bagby  
    American Mathematical Monthly, Vol. 86, No. 8. (Oct., 1979), pp. 681-684, Jstor.
  111. A Taylor series method for the numerical solution of two-point boundary value problems.
    Rentrop, P.
    Numer. Math. 31 (1978/79), no. 4, 359--375, MathSciNet.  
  112. Taylor Series Methods for the Solution of Volterra Integral and Integro-Differential Equations  
    Alan Goldfine  
    Mathematics of Computation, Vol. 31, No. 139. (Jul., 1977), pp. 691-707, Jstor.
  113. The Erroneous Approximation of Expected Utility by Means of a Taylor's Series Expansion: Analytic and Computational Results
    Otto Loistl
    The American Economic Review, Vol. 66, No. 5. (Dec., 1976), pp. 904-910, Jstor.  
  114. Alternatives to Taylor's Theorem in Proving Analyticity (in Classroom Notes)  
    J. A. Eidswick  
    American Mathematical Monthly, Vol. 82, No. 9. (Nov., 1975), pp. 929-931, Jstor.
  115. Truncated Taylor series approximation to the state transition matrix of a continuous parameter finite Markov chain.
    Standish, C. J.
    Linear Algebra and Appl. 12 (1975), no. 2, 179--183, MathSciNet.  
  116. An Indian form of third order Taylor series approximation of the sine.
    Gupta, Radha Charan
    Historia Math. 1 (1974), 287--289, MathSciNet.  
  117. An application of Taylor's functional calculus.
    Vasilescu, F.-H.
    Rev. Roumaine Math. Pures Appl. 19 (1974), 1165--1167, MathSciNet.  
  118. An Integral Analogue of Taylor's Series and Its Use in Computing Fourier Transforms  
    Thomas J. Osler  
    Mathematics of Computation, Vol. 26, No. 118. (Apr., 1972), pp. 449-460, Jstor.
  119. Taylor's series generalized for fractional derivatives and applications.
    Osler, Thomas J.
    SIAM J. Math. Anal. 2 (1971), 37--48, MathSciNet.  
  120. Piecewise polynomial Taylor methods for initial value problems.
    Hulme, Bernie L.
    Numer. Math. 17 (1971), 367--381, MathSciNet.  
  121. On the Convergence of Taylor Series for Functions of n Variables  
    James Thomas Day  
    Mathematics Magazine, Vol. 40, No. 5. (Nov., 1967), pp. 258-260, Jstor.
  122. Taylor's Formula and the Existence of nth Derivatives (in Mathematical Notes)  
    P. R. Beesack  
    American Mathematical Monthly, Vol. 74, No. 8. (Oct., 1967), pp. 980-986, Jstor.
  123. Taylor's Formula with Derivative Remainder (in Classroom Notes)  
    Alfred J. Maria  
    American Mathematical Monthly, Vol. 73, No. 1. (Jan., 1966), pp. 67-68, Jstor.
  124. A General Form of the Remainder in Taylor's Theorem (in Classroom Notes)  
    P. R. Beesack  
    American Mathematical Monthly, Vol. 73, No. 1. (Jan., 1966), pp. 64-67, Jstor.
  125. On Extensions of Taylor's Formula (in Mathematical Notes)  
    T. V. Lakshminarasimhan  
    American Mathematical Monthly, Vol. 72, No. 8. (Oct., 1965), pp. 877-881, Jstor.
  126. Generalized Taylor Series and Orders and Types of Entire Functions of Several Complex Variables  
    Fred Gross  
    Transactions of the American Mathematical Society, Vol. 120, No. 1. (Oct., 1965), pp. 124-144, Jstor.
  127. The Maclaurin Series for e^x (in Classroom Notes)  
    J. R. Isbell  
    American Mathematical Monthly, Vol. 71, No. 9. (Nov., 1964), pp. 1033-1034, Jstor.
  128. An Extension of Taylor's Formula (in Mathematical Notes)  
    Dwight B. Goodner  
    American Mathematical Monthly, Vol. 70, No. 3. (Mar., 1963), pp. 303-306, Jstor.
  129. A Variant of Taylor's Theorem (in Classroom Notes)  
    W. R. Ballard, A. E. Livingston, W. M. Myers, Jr.  
    American Mathematical Monthly, Vol. 70, No. 8. (Oct., 1963), pp. 865-868, Jstor.
  130. Best approximation of functions represented by lacunary Fourier and Taylor series. (Russian)
    Al'per, S. Ja.
    Izv. Akad. Nauk SSSR Ser. Mat. 27 1963 747--760, MathSciNet.  
  131. An Algorithm of J. Schur and the Taylor Series  
    E. H. Connell; P. Porcelli  
    Proceedings of the American Mathematical Society, Vol. 13, No. 2. (Apr., 1962), pp. 232-235, Jstor.
  132. Remainder Formulae in Taylor's Theorem (in Classroom Notes)  
    William J. Firey  
    American Mathematical Monthly, Vol. 67, No. 9. (Nov., 1960), pp. 903-905, Jstor.
  133. Tabulation of Coefficients for Operations on Taylor Series  
    Daniel C. Fielder  
    Mathematics of Computation, Vol. 14, No. 72. (Oct., 1960), pp. 339-345, Jstor.
  134. Taylor's Theorem and Newton's Method (in Classroom Notes)  
    F. D. Parker  
    American Mathematical Monthly, Vol. 66, No. 1. (Jan., 1959), p. 51, Jstor.
  135. Derivative Manifolds and Taylor Series in the Mean  
    D. S. Greenstein  
    Transactions of the American Mathematical Society, Vol. 90, No. 2. (Feb., 1959), pp. 312-322, Jstor.
  136. Note on the Euler-MacLaurin Formula (in Classroom Notes)  
    W. D. Munro  
    American Mathematical Monthly, Vol. 65, No. 3. (Mar., 1958), pp. 201-203, Jstor.
  137. On Taylor's Theorem With Remainder (in Mathematical Notes)  
    P. H. Diananda  
    American Mathematical Monthly, Vol. 64, No. 7. (Aug. - Sep., 1957), pp. 492-495, Jstor.
  138. Mean Value Theorems and Taylor Series (in Teaching of Mathematics)  
    M.R.Spiegel  
    Mathematics Magazine,Vol.29,No.5. (May-Jun.,1956),pp.263-266, Jstor.
  139. A Theorem of the Taylor Expansion (in Classroom Notes)  
    C. S. Ogilvy  
    American Mathematical Monthly, Vol. 62, No. 9. (Nov., 1955), p. 654, Jstor.
  140. A Proof of Taylor's Formula (in Classroom Notes)  
    James Wolfe  
    American Mathematical Monthly, Vol. 60, No. 6. (Jun. - Jul., 1953), p. 415, Jstor.
  141. More on Taylor's Theorem in a First Course (in Classroom Notes)  
    C. P. Nicholas  
    American Mathematical Monthly, Vol. 60, No. 5. (May, 1953), pp. 329-331, Jstor.
  142. Some Interesting Series Resulting from a Certain MacLaurin Expansion  
    M.R.Spiegel  
    The American Mathematical Monthly,Vol.60,No.4. (Apr.,1953),pp.243-247, Jstor.
  143. A Connection between Taylor's Theorem and Linear Differential Equations (in Classroom Notes)  
    D. C. Lewis  
    American Mathematical Monthly, Vol. 59, No. 10. (Dec., 1952), pp. 692-693, Jstor.
  144. Taylor's Theorem in a First Course (in Classroom Notes)  
    C. P. Nicholas  
    American Mathematical Monthly, Vol. 58, No. 8. (Oct., 1951), pp. 559-562, Jstor.
  145. On the Distribution of the Values of the Partial Sums of a Taylor Series  
    V. F. Cowling  
    Proceedings of the American Mathematical Society, Vol. 2, No. 5. (Oct., 1951), pp. 732-738, Jstor.
  146. Functions of Exponential Type in an Angle and Singularities of Taylor Series  
    Shmuel Agmon  
    Transactions of the American Mathematical Society, Vol. 70, No. 3. (May, 1951), pp. 492-508, Jstor.
  147. A Theorem on the Remainder of a Taylor Series (in Classroom Notes)  
    G. Rudinger  
    American Mathematical Monthly, Vol. 57, No. 6. (Jun. - Jul., 1950), pp. 411-412, Jstor.
  148. A Note on Taylor's Theorem (in Classroom Notes)  
    C. L. Seebeck, Jr.  
    American Mathematical Monthly, Vol. 57, No. 1. (Jan., 1950), pp. 32-34, Jstor.
  149. A Generalization of Taylor's Expansion  
    P. M. Hummel, C. L. Seebeck, Jr.  
    American Mathematical Monthly, Vol. 56, No. 4. (Apr., 1949), pp. 243-247, Jstor.
  150. The Asymptotic Expansion of Integral Functions and of the Coefficients in Their Taylor Series  
    E.M.Wright  
    Transactions of the American Mathematical Society,Vol.64,No.3. (Nov.,1948),pp.409-438, Jstor.
  151. Taylor's series and approximation to analytic functions.
    Walsh, J. L.
    Bull. Amer. Math. Soc. 52, (1946). 572--579, MathSciNet.  
  152. On the representation by integrals of some functions defined by Taylor expansions and its application to the solution of partial differential equations. (Spanish.)
    Laguardia, Rafael; Levi, Beppo
    Publ. Inst. Mat. Univ. Nac. Litoral 4, (1943). 205--232, MathSciNet.  
  153. The Asymptotic Expansion of Integral Functions Defined by Taylor Series (Second Paper)  
    E. M. Wright  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 239, No. 804. (Sep. 19, 1941), pp. 217-232, Jstor.
  154. On Zeros of Irregular Taylor's Series, and an Approximation Problem  
    Walter Strodt  
    The Annals of Mathematics, 2nd Ser., Vol. 41, No. 2. (Apr., 1940), pp. 350-355, Jstor.
  155. The Asymptotic Expansion of Integral Functions Defined by Taylor Series  
    E. M. Wright  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 238, No. 795. (Jan. 23, 1940), pp. 423-451, Jstor.
  156. The Taylor Series Approximation Curves for the Sine and Cosine (in Questions, Discussions, and Notes)  
    Norman Miller  
    American Mathematical Monthly, Vol. 44, No. 2. (Feb., 1937), pp. 96-97, Jstor.
  157. A Note on Taylor's Theorem (in Questions, Discussions, and Notes)  
    R. E. Moritz  
    American Mathematical Monthly, Vol. 44, No. 1. (Jan., 1937), pp. 31-33, Jstor.
  158. On the Expansion of Analytic Functions of the Complex Variable in Generalized Taylor's Series  
    D.V.Widder  
    Transactions of the American Mathematical Society,Vol.31,No.1. (Jan.,1929),pp.43-52, Jstor.
  159. On a Class of Taylor's Series  
    P. L. Srivastava  
    The Annals of Mathematics, 2nd Ser., Vol. 30, No. 1/4. (1928 - 1929), pp. 39-46, Jstor.
  160. A Generalization of Taylor's Series  
    D. V. Widder  
    Transactions of the American Mathematical Society, Vol. 30, No. 1. (Jan., 1928), pp. 126-154, Jstor.
  161. On Taylor's Series Admitting the Circle of Convergence as a Singular Curve  
    J. J. Gergen; D. V. Widder  
    American Journal of Mathematics, Vol. 50, No. 1. (Jan., 1928), pp. 139-146, Jstor.
  162. Riemann Integration and Taylor's Theorem in General Analysis  
    Lawrence M. Graves  
    Transactions of the American Mathematical Society, Vol. 29, No. 1. (Jan., 1927), pp. 163-177, Jstor.
  163. Discussions: Concerning the Remainder Term in Taylor's Formula (in Questions and Discussions)  
    L. M. Blumenthal  
    American Mathematical Monthly, Vol. 33, No. 8. (Oct., 1926), pp. 424-426, Jstor.
  164. Maclaurin Expansion of the Interpolation Polynomial Determined by 2n+1 Evenly Spaced Points  
    George Rutledge  
    Transactions of the American Mathematical Society, Vol. 26, No. 1. (Jan., 1924), pp. 113-123, Jstor.  
  165. On Taylor's Interpolation Formula as a Limiting Case of the Interpolation Formula of Lagrange (in Notes)  
    Robert E. Moritz  
    Journal of the American Statistical Association, Vol. 18, No. 142. (Jun., 1923), pp. 781-784, Jstor.
  166. On a Criterion of Pringsheim's for Expansibility in Taylor's Series  
    M. B. Porter  
    The Annals of Mathematics, 2nd Ser., Vol. 8, No. 1. (Oct., 1906), pp. 45-48, Jstor.
  167. The Asymptotic Expansion of Integral Functions Defined by Taylor's Series  
    E.W.Barnes  
    Philosophical Transactions of the Royal Society of London.Series A,Containing Papers of a Mathematical or Physical Character,Vol.206. (1906),pp.249-297, Jstor.
  168. An Elementary Deduction of Taylor's Formula  
    W. H. Echols  
    The Annals of Mathematics, Vol. 8, No. 1/6. (1893 - 1894), pp. 62-63, Jstor.
  169. A Deduction and Demonstration of Taylor's Formula  
    W. H. Echols  
    American Journal of Mathematics, Vol. 15, No. 3. (Jul., 1893), pp. 283-284, Jstor.
  170. An Extension of Taylor's Theorem (in Notes)  
    J. G. Glashan  
    American Journal of Mathematics, Vol. 1, No. 3. (1878), pp. 287-288, Jstor.
  171. Taylor's Theorem and Its Limit  
    A. W. Whitcom  
    The Analyst, Vol. 4, No. 5. (Sep., 1877), pp. 137-140, Jstor.
  172. A Demonstration of Maclaurin's Theorem [Continued]  
    J. S. Hayes  
    The Analyst, Vol. 9, No. 1. (Jan., 1882), pp. 12-14, Jstor.  
  173. A Demonstration of Maclaurin's Theorem  
    J. S. Hayes  
    The Analyst, Vol. 8, No. 5. (Sep., 1881), pp. 149-154, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004