College of Science

Mathematics

Department of Mathematics
Math/CS 470
Phone: 512-245-2551
Fax: 512-245-3425
math@txstate.edu

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Texas State > College of Science > Mathematics > People > Faculty Members > Wayment

Wayment

Stanley G. Wayment

Professor of Mathematics
(Chairman of the Department)
Office: Math/CS 470
Phone: 512-245-3555
Fax: 512-245-3425
Email: sw05@txstate.edu
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Research Interests: Real Analysis, Complex Analysis.

Professor Wayment received his Ph.D. in Mathematics from University of Utah in 1968. Dr.Wayment's recent research has been involved with computer based, laboratory oriented, discovery learning approaches to teaching calculus and pre-calculus courses.
Selected Publications

J. Spellmann, S. G. Wayment; Functions which cycle through composition to the identity function. Texas J. Sciences 55(4): 297-306, 2003.

Thirteen Authors Modular Mathematics for TASP. McGraw-Hill, 1990; Stipes Publishing, 1992.

J. A. Chatfield, R. A. Northcutt, and S. G. Wayment. Algorithms of Algebra Student Manual. McGraw-Hill, 1990; Stipes Publishing, 1992.

J. A. Chatfield, R. A. Northcutt, and S. G. Wayment. Algorithms of Algebra. McGraw-Hill, 1990.

J. E. Valentine and S. G. Wayment. A local metric characterization of Banach spaces. Colloq. Math., 44(2):301--307 (1982), 1981.

J. E. Valentine and S. G. Wayment. The Ceva property characterizes real, strictly convex Banach spaces. Proc. Amer. Math. Soc., 78(4):559--567, 1980.

E. Z. Andalafte, J. E. Valentine, and S. G. Wayment. Triangle median properties which characterize Banach spaces. Houston J. Math., 5(3):307--312, 1979.

C. T. Tucker and S. G. Wayment. A complete norm on the space of Riemann-Stieltjes integrable functions. Rev. Roumaine Math. Pures Appl., 21(10):1451--1453, 1976.

J. E. Valentine and S. G. Wayment. Local Euclidean four-point properties which characterize inner-product spaces. Proc. Amer. Math. Soc., 50:337--343, 1975.

L. D. Loveland and S. G. Wayment. Characterizing a curve with the double midset property. Amer. Math. Monthly, 81:1003--1006, 1974.

D. A. Neuser and S. G. Wayment. A note on the intermediate value property. Amer. Math. Monthly, 81:995--997, 1974.

J. R. Edwards and S. G. Wayment. Extensions of the v-integral. Trans. Amer. Math. Soc., 191:165--184, 1974.

J. E. Valentine and S. G. Wayment. A necessary and sufficient condition for a ``sphere'' to separate points in euclidean, hyperbolic, or spherical space. Trans. Amer. Math. Soc., 176:285--295, 1973.

J. E. Valentine and S. G. Wayment. Metric characterizations of Banach spaces. Colloq. Math., 27:89--94, 162, 1973.

D. H. Tucker and S. G. Wayment. Some remarks on the notion of ``derivatives''. pages 367--378, 1973.

J. R. Edwards and S. G. Wayment. A derivative in the setting of operator-valued measures. Proc. Amer. Math. Soc., 38:523--531, 1973.

L. Hatta and S. G. Wayment. A Radon-Nikod\'ym theorem for the v-integral. J. Reine Angew. Math., 259:137--146, 1973.

J. R. Edwards, L. Hatta, and S. G. Wayment. A v-integral characterization for the dual of the Lipschitz functions. Rev. Roumaine Math. Pures Appl., 18:885--891, 1973.

J. E. Valentine and S. G. Wayment. Metric transforms and the hyperbolic four-point property. Proc. Amer. Math. Soc., 31:232--234, 1972.

J. E. Valentine and S. G. Wayment. Metric characterizations of hyperbolic and euclidean spaces. Colloq. Math., 25:259--264, 325, 1972.

L. Hatta and S. G. Wayment. A derivative to match the v-integral. J. Reine Angew. Math., 257:16--28, 1972.

J. E. Valentine and S. G. Wayment. The Euclidean symmetric isosceles queasy four-point properties. Proc. Amer. Math. Soc., 34:233--238, 1972.

Z. Usiskin and S. G. Wayment. Partitioning a triangle into 5 triangles similar to it. Math. Mag., 45:37--42, 1972.

J. E. Valentine and S. G. Wayment. Criteria for Banach spaces. Pacific J. Math., 43:251--252, 1972.

J. R. Edwards and S. G. Wayment. A summability integral. J. Reine Angew. Math., 255:85--93, 1972.

J. E. Valentine and S. G. Wayment. Wilson angles in linear normed spaces. Pacific J. Math., 36:239--243, 1971.

J. R. Edwards and S. G. Wayment. Integral representations for continuous linear operators in the setting of convex topological vector spaces. Trans. Amer. Math. Soc., 157:329--345, 1971.

J. R. Edwards and S. G. Wayment. Linear transformations on vector valued functions of weak bounded variation. Rev. Roumaine Math. Pures Appl., 16:847--848, 1971.

J. R. Edwards and S. G. Wayment. On the nonequivalence of conservative Hausdorff methods and Hausdorff moment sequences. Pacific J. Math., 38:39--47, 1971.

J. R. Edwards and S. G. Wayment. Representations for transformations continuous in the $\rm bv$ norm. Trans. Amer. Math. Soc., 154:251--265, 1971.

J. R. Edwards and S. G. Wayment. A v-integral representation for linear operators on a space of continuous vector-valued functions. Proc. Amer. Math. Soc., 30:260--262, 1971.

J. R. Edwards and S. G. Wayment. A v-integral representation for the continuous linear operators on spaces of continuously differentiable vector-valued functions. Proc. Amer. Math. Soc., 30:263--270, 1971.

J. E. Valentine and S. G. Wayment. On mean value theorems for a metric derivative. Rev. Roumaine Math. Pures Appl., 15:153--156, 1970.

D. H. Tucker and S. G. Wayment. Absolute continuity and the Radon-Nikodym theorem. J. Reine Angew. Math., 244:1--19, 1970.

R. J. Easton and S. G. Wayment. A mean value theorem. Amer. Math. Monthly, 77:170--172, 1970.

J. R. Edwards and S. G. Wayment. A unifying representation theorem. Math. Ann., 187:317--328, 1970.

J. R. Edwards and S. G. Wayment. A v-integral representation for linear operators on spaces of continuous functions with values in topological vector spaces. Pacific J. Math., 35:327--330, 1970.

J. W. Cannon and S. G. Wayment. An imbedding problem. Proc. Amer. Math. Soc., 25:566--570, 1970.

R. J. Easton and S. G. Wayment. A mean value theorem and Darboux's property for the derivative of an additive set function with respect to a measure on E^n. Rev. Un. Mat. Argentina, 24:97--102, 1968/1969.

R. J. Easton, D. H. Tucker, and S. G. Wayment. On the existence almost everywhere of the cross partial derivatives. Math. Z., 102:171--176, 1967.

S. G. Wayment. Arc length and the mean value theorem. Revue Roumaine de Mathematiques Pures et Appliquees, 16:429--431.

S. G. Wayment. On the BV norm closure of vector-valued polygonal functions. Revue Roumaine de Mathematiques Pures et Appliquees, 17: 1123--1126.

S. G. Wayment. A survey of v-integral representation theory for operators on function spaces including the topological vector space setting. Proceedings of the Matscience International Conference on Functional Analysis and its Applications.

S. G. Wayment. Another question of interest. The Two-Year College Mathematics Journal, 11:252--254.

R. J. Easton and S. G. Wayment. The sliding interval technique. American Mathematical Monthly, 75:886--888.

S. G. Wayment. Sizing up sets and continuity-differentiability relationships. Revue Roummaine de Mathematiques Pures et Appliquees, 15:153--156.

S. G. Wayment. An integral mean value theorem. Mathematical Gazette, 54:300--301.

S. G. Wayment. On congruence indices for simple closed curves. Proc. Amer. Math. Soc., 28:199--207.