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1: Tom M. Apostol

Profile
Tom M. Apostol

… ►Tom M. Apostol (b. … 2016) was Professor Emeritus in the Department of Mathematics at the California Institute of Technology (Caltech), Pasadena, California, until his death on May 8, 2016. … ►In 1950, he arrived at Caltech as an assistant professor; he was named associate professor in 1956, professor in 1962, and professor emeritus in 1992. … ►Tom Apostol and his wife Jane were inducted into the MAA’s Icosahedron Society in 2010. …

2: Tom H. Koornwinder

Profile
Tom H. Koornwinder

… ►Tom Koornwinder (b. …

3: 25 Zeta and Related Functions

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4: 27 Functions of Number Theory

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5: 18 Orthogonal Polynomials

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6: Bibliography K

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Tablitsy funktsii Vebera. Tom II. Vičisl. Centr Akad. Nauk SSSR, Moscow (Russian).

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External Links:

MathReview (John Todd), ZentralBlatt

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5th item.

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Tablitsy funktsii Vebera. Tom III. Vyčisl. Centr Akad. Nauk SSSR, Moscow (Russian).

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External Links:

MathReview (Walter Gautschi)

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6th item.

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Algorithm 737: INTLIB: A portable Fortran 77 interval standard-function library. ACM Trans. Math. Software 20 (4), pp. 447–459.

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External Links:

ISSN 0098-3500, Document, GAMS (module 737; package TOMS), ZentralBlatt

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1st item.

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Algorithm 763: INTERVAL_ARITHMETIC: A Fortran 90 module for an interval data type. ACM Trans. Math. Software 22 (4), pp. 385–392.

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External Links:

ISSN 0098-3500, Document, GAMS (module 763; package TOMS), ZentralBlatt

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2nd item.

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Tom Koornwinder’s Personal Collection of Maple Procedures

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External Links:

Home Page

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§ ‣ Software Cross Index.

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7: Staff

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Tom M. Apostol, California Institute of Technology, Chaps. 25, 27

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Tom H. Koornwinder, Universiteit van Amsterdam, Chap. 18

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Tom H. Koornwinder, Universiteit van Amsterdam, for Chap. 18

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8: Philip J. Davis

… ►At CalTech, John Todd dedicated himself to the training of new researchers in numerical analysis, and Olga Taussky, who had been a full-time NBS consultant influential in establishing the field of matrix theory, became the first woman at CalTech to attain the academic rank of full professor. …

9: Software Index

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	Open Source													With Book						Commercial
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8.28(ii) $\gamma (a,x)$, $\mathrm{\Gamma }(a,x)$, ${\gamma }^{\ast }(a,x)$, $P(a,x)$, $Q(a,x)$, $x,a\in ℝ$	✓		✓	✓	✓	✓			✓		✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
8.28(iii) $\gamma (a,x)$, $\mathrm{\Gamma }(a,x)$, ${\gamma }^{\ast }(a,x)$, $P(a,x)$, $Q(a,x)$, $x,a\in ℂ$	✓		✓	✓	✓						✓	✓	✓	✓	✓		✓	✓	✓	✓	✓	✓	✓	✓
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Software published by the journal ACM Transactions on Mathematical Software (TOMS).

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10: Bibliography S

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Algorithm 721: MTIEU1 and MTIEU2: Two subroutines to compute eigenvalues and solutions to Mathieu’s differential equation for noninteger and integer order. ACM Trans. Math. Software 19 (3), pp. 391–406.

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Notes:

Double-precision Fortran, maximum accuracy 18D

External Links:

ISSN 0098-3500, Document, GAMS (module 721; package TOMS), ZentralBlatt

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3rd item, 5th item.

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Algorithm 786: Multiple-precision complex arithmetic and functions. ACM Trans. Math. Software 24 (4), pp. 359–367.

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External Links:

ISSN 0098-3500, Document, GAMS (module 786; package TOMS), ZentralBlatt

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4th item.

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Algorithm 814: Fortran 90 software for floating-point multiple precision arithmetic, gamma and related functions. ACM Trans. Math. Software 27 (4), pp. 377–387.

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External Links:

ISSN 0098-3500, Document, GAMS (module 814; package TOMS), ZentralBlatt

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2nd item, 6th item, 3rd item, 1st item, 6th item, 5th item.

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Algorithm 693: A FORTRAN package for floating-point multiple-precision arithmetic. ACM Trans. Math. Software 17 (2), pp. 273–283.

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Notes:

Multiple-precision Fortran.

External Links:

ISSN 0098-3500, Document, GAMS (module 693; package TOMS), ZentralBlatt

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2nd item.

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Algorithm 723: Fresnel integrals. ACM Trans. Math. Software 19 (4), pp. 452–456.

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Notes:

Single- and double-precision Fortran, maximum accuracy 16D. For remarks see same journal v. 22 (1996), p. 498-500 and v. 26 (2000), p. 617

External Links:

ISSN 0098-3500, Document, GAMS (module 723; package TOMS), ZentralBlatt

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3rd item, 1st item.

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