Konrad J. Heuvers
Professor of Mathematics
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Address:
313 Fisher
1400 Townsend Drive
Houghton, Michigan 49931-1295
U.S.A.
(906) 487-2099
Courses:
MA1161,2150,3150,3160 Calculus and Analytic Geometry I-III
MA2320/2321 Elementary Linear Algebra
MA2330 Introduction to Linear Algebra
MA3520/3521 Elementary Differential Equations
MA4410 Introductory Complex Analysis
MA414 Ordinary Differential Equations
MA425 Vector Analysis
MA4426 Differential Geometry
MA4330 Linear Algebra
Research or other interests:
My primary area of research is Functional Equations and
Linear Algebra. In this, I have examined characterizations of the determinant
and permanent functions by the Cauchy-Binet relation,
functional equations that characterize n-th Cauchy
differences, and have found two new functional equations that characterize
logarithmic functions.
My secondary area of research is Combinatorics,
Classical Differential Geometry and Tensors, and Group Theory. Here I have
considered multinomial and inverse multinomial coefficient identities.
I am also interested in International Folk Dancing; Eastern European Ethnic
Studies; the study of German, Russian, history, and archaeology; nature
studies, hiking, camping, and other outdoor activities.
Publications:
24. A third logarithmic
functional equation and Pexider generalizations,(joint paper with Palaniappan Kannappan), Aequationes Math.70(2005),
117-121.
23. One-to-one analytic straight line and circle preserving mappings of C to
itself, Nonlinear Funct. Anal.&
Appl.10(2005), 151-154.
22. The functional equation of the square root spiral,(joint paper with Daniel
S. Moak & Blake Boursaw),
Functional Equations and Inequalities, 111-117,chapter in a book edited by Theistocles Rassias(Athens,
Greece),2000, Kluwer Academic Publishers, the
Netherlands.
21. Another logarithmic functional equation, Aequationes
Math.58(1999),260-264.
20. A characterization of the c2(A) function from the
characteristic polynomial,(joint paper with Daniel S. Moak),Analysis
and Mechanics, edited by John M. Rassias, New Jersey,
World Scientific(1994), 149-156.
19. Cauchy-difference Conservative Vector Fields for Dimension Two and Three,
Results in Mathematics 26(1994), 298-305.
18. An Inversion Relation of Multinomial Type, (joint paper with Daniel S. Moak, K.P.S. Bhaskara Rao, and Karen Collins), Discrete Math. 131(1994), 195-204.
17. On Cauchy Differences of All Orders, (joint paper with B.R. Ebanks and C.T. Ng), Aequationes
Math. 42(1991), 137-153.
16. The characterization of determinant and permanent functions by the Binet-Cauchy Theorem, (joint paper with Daniel S. Moak), Constantine Caratheodory:
An International Tribute, Vol.I, 489-494,edited by Th.M.Rassias, 1991,World Scientific Publ.
Co.
15. The solution of the Binet-Cauchy functional
equation for square matrices(joint paper with Daniel
S. Moak), Discrete Math.88(1991), 21-32.
14. The Binet-Pexider functional equation for
rectangular matrices, (joint paper with Daniel S. Moak),
Aequationes Mathematicae
40(1990), 136-146.
13. The Binet-Cauchy functional equation and
non-singular multi-indexed matrices,(joint paper with
Daniel S. Moak),Linear Algebra Appl.140(1990),
197-215.
12. A characterization of Cauchy Kernels, Aequationes
Mathematicae 40(1990), 281-306.
11 A Characterization of the Permanent Function by the Binet-Cauchy
Theorem, joint paper with L.J. Cummings and K.P.S. Baskara
Rao), Linear Algebra Appl.
101(1988), 49-72.
10. Sums of Weight Vectors and Sums of Semilinear Functions,
(joint paper with William C. Waterhouse), Aequationes
Math. 33(1987),69-75.
9. Matrix solutions of the functional equation of the gamma function,(joint paper with Daniel S. Moak),
Aequationes Mathematicae
33(1987), 1-17.
8. Composite n-forms and Cauchy kernels, (joint paper with Pal Fisher,
University of Guelph,Guelph,
Ontario, Canada), Aequations Mathematicae
32(1987), 58-62.
7. Multinomial matrices, (joint paper with Robert Shelton & Daniel S.Moak from MTU, and K.P.S. Bhaskara
Rao, Indian Statistical Institute, Bangladore, India), Discrete Mathemathics
61(1986), 107-114.
6. A family of symmetric biadditive nonbilinear functions, Aequationes
Mathematicae 29(1985), 14-18.
5. Symmetric matrices with prescribed eigenvalues and
eigenvectors, Math. Magazine 55(1982),No.2(March),
106-111.
4. Functional equations which characterize n-forms and homogeneous functions of
degree n, Aequations Mathematicae
22(1981), 223-248.
3. On the types of functions which can serve as scalar products in a complex
linear space, Linear Algebra Appl. 6(1973), 83-96.
2. The linear and pseudo-linear operators of a complex vector space, Tensor N.S.22(1971), No.2, 174-178.
1. The linear and pseudo-linear functionals of a
complex vector space, Tensor N.S.22(1971), No.2,
148-150.
Designed by Paul Schou