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. The Tangent Parabola
   Russell Howell and John Mathews
   The AMATYC Review, Vol. 23, No. 1, Fall 2001, pp. 25-32.  
5. Taylor's Formula via Determinants  
   Sarkaria, K. S.
   College Mathematics Journal, 2001, vol. 32, no. 1, pp. 54, Ingenta.  
6. The Euler-Maclaurin and Taylor Formulas: Twin, Elementary Derivations  
   Vito Lampret  
   Mathematics Magazine: Volume 74, Number 2, (2001), Pages: 109-122.  
7. Illumination by Taylor polynomials  
   Horwitz, Alan
   Int. J. Math. Math. Sci. 27 (2001), no. 2, 125--130, MathSciNet.  
8. 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.  
9. 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.  
10. 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.  
11. 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.  
12. Taylor Polynomials for Rational Functions  
    Mike O'Leary  
    College Math Journal: Volume 29, Number 3, (1998), Pages: 226-228.  
13. Maclaurin's Theorem for High School Calculus Students  
    de Bruyn, Ysbrand
    The mathematics teacher, 1998, vol. 91, no. 3, pp. 256, Ingenta.  
14. 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.  
15. 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.  
16. A further example on the convergence of Taylor series  
    Glaister, P.
    Mathematics and computer education, 1996, vol. 30, no. 1, pp. 33, Ingenta.  
17. 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.  
18. Truncation of Taylor series.
    Kuo, Tzee-Char
    Singularity theory (Trieste, 1991), 291--297, World Sci. Publishing, River Edge, NJ, 1995, MathSciNet.  
19. A classroom note on the convergence of taylor series  
    Cheung, Pak-Hong
    Mathematics and computer education, 1994, vol. 28, no. 2, pp. 132, Ingenta.  
20. 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.  
21. Taylor polynomial solutions of Volterra integral equations.
    Sezer, Mehmet
    Internat. J. Math. Ed. Sci. Tech. 25 (1994), no. 5, 625--633, MathSciNet.  
22. 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.
23. Taylor Polynomial Approximations in Polar Coordinates  
    Sheldon P. Gordon   
    The College Mathematics Journal, Vol. 24, No. 4. (Sep., 1993), pp. 325-330.
24. Taylor Theorem for Planar Curves  
    Abedallah Rababah  
    Proceedings of the American Mathematical Society, Vol. 119, No. 3. (Nov., 1993), pp. 803-810, Jstor.
25. 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.
26. 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.
27. 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.  
28. Polynomial invariant theory and Taylor series.
    Gilbert, John E.
    Canad. J. Math. 43 (1991), no. 6, 1243--1262, MathSciNet.  
29. Taylor's theorem  
    Sikic, Z.
    International journal of mathematical education in science and technology, 1990, vol. 21, no. 1, pp. 111, Ingenta.  
30. 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.
31. The Remainder in Taylor's Formula  
    Esteban I. Poffald  
    American Mathematical Monthly, Vol. 97, No. 3. (Mar., 1990), pp. 205-213, Jstor.
32. 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.
33. Computer Algebra Systems Approach to Teaching Taylor Polynomials
    John Mathews
    The AMATYC Review, Vol. 11, No. 1, (Part 2), Fall 1989, pp. 61-66.
34. 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.
35. 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.
36. 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.  
37. Solving stiff systems by Taylor series.
    Chang, Y. F.
    Numerical ordinary differential equations (Albuquerque, NM, 1986). Appl. Math. Comput. 31 (1989), 251--269, MathSciNet.  
38. A Comparison of Some Taylor and Chebyshev Series  
    R. E. Scraton  
    Mathematics of Computation, Vol. 50, No. 181. (Jan., 1988), pp. 207-213, Jstor.  
39. 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.  
40. 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.
41. Romberg Integration by Taylor Series (in Notes)  
    Edward R. Rozema  
    American Mathematical Monthly, Vol. 94, No. 3. (Mar., 1987), pp. 284-288, Jstor.  
42. 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.  
43. 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.  
44. Rediscovering Taylor's Theorem  
    Dan Kalman  
    The College Mathematics Journal, Vol. 16, No. 2. (Mar., 1985), pp. 103-107, Jstor.
45. 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.
46. 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.   
47. 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.
48. 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.
49. 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.
50. 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.
51. Taylor Polynomials and Difference Quotients (in Mathematical Notes)  
    Richard J. Bagby  
    American Mathematical Monthly, Vol. 86, No. 8. (Oct., 1979), pp. 681-684, Jstor.
52. 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.  
53. 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.  
54. 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.
55. An Indian form of third order Taylor series approximation of the sine.
    Gupta, Radha Charan
    Historia Math. 1 (1974), 287--289, MathSciNet.  
56. 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.
57. 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.
58. 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.
59. 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.
60. 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.
61. 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.
62. 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.
63. 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.
64. 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.
65. 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.
66. 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.
67. 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.
68. 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.
69. 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.
70. A Theorem of the Taylor Expansion (in Classroom Notes)  
    C. S. Ogilvy  
    American Mathematical Monthly, Vol. 62, No. 9. (Nov., 1955), p. 654, Jstor.
71. A Proof of Taylor's Formula (in Classroom Notes)  
    James Wolfe  
    American Mathematical Monthly, Vol. 60, No. 6. (Jun. - Jul., 1953), p. 415, Jstor.
72. 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.
73. 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.
74. 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.
75. 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.
76. 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.
77. 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.
78. 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.
79. 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.
80. 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.
81. 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.
82. 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.
83. 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.
84. 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.
85. An Extension of Taylor's Theorem (in Notes)  
    J. G. Glashan  
    American Journal of Mathematics, Vol. 1, No. 3. (1878), pp. 287-288, Jstor.
86. Taylor's Theorem and Its Limit  
    A. W. Whitcom  
    The Analyst, Vol. 4, No. 5. (Sep., 1877), pp. 137-140, Jstor.
87. A Demonstration of Maclaurin's Theorem [Continued]  
    J. S. Hayes  
    The Analyst, Vol. 9, No. 1. (Jan., 1882), pp. 12-14, Jstor.  
88. 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