Books
Geometric Integration Theory
(with Steven G. Krantz)
Birkhauser, 2008 (ISBN-13: 978-0-8176-4676-9)
A Mathematical View of Our World
(with Gary Musser, Lynn Trimpe, Vikki Maurer, and Roger Maurer)
Thomson Brooks/Cole, 2007 (ISBN 0-495-01061-8)
A Primer of Real Analytic Functions
(with Steven G. Krantz)
Birkhauser
second edition 2002 (ISBN 0-8176-4264-1)
first edition 1992 (ISBN 0-8176-2768-5 [Boston],
3-7643-2768-5 [Basel])
The Implicit Function Theorem: History, Theory, and Applications
(with Steven G. Krantz)
Birkhauser, 2002 (ISBN 0-8176-4285-4)
Mathematics in Life, Society, and the World
(with Gary L. Musser, William A. Siebler, and Robert M. Burton)
Prentice Hall
second edition 2000 (ISBN 0-13-011690-4)
first edition 1997 (ISBN 0-0238-5460-X)
The Geometry of Domains in Space
(with Steven G. Krantz)
Birkhauser, 1999 (ISBN 0-8176-4097-5)
Explicit Determination of Area Minimizing Hypersurfaces, II
Memoirs of the American Mathematical Society, No. 342
American Mathematical Society, 1986 (ISBN 0-8218-2339-6)
Articles
The Lagrange inversion theorem in the smooth case
(with Steven G. Krantz)
Journal of Mathematical Analysis and Applications
volume 340, number 2
April 2007
pages 1263-1270
A slope-bounding procedure for mass-minimizing currents
International Journal of Applied Mathematics & Statistics
volume 10, number S07
September 2007
pages 25-37
The generalization of Faulhaber's formula to sums of non-integral powers
(with Kevin J. McGown)
Journal of Mathematical Analysis and Applications
volume 330, number 1
June 2007
pages 571-575
Symmetrized-lexicographic order and the method of points
Journal of Mathematical Analysis and Applications
volume 324, number 2
December 2006
pages 934-940
Geometric characterizations of centroids of simplices
(with Steven G. Krantz and John E. McCarthy)
Journal of Mathematical Analysis and Applications
volume 316, number 1
April 2006
pages 87-109
Review of Strange Curves, Counting Rabbits, and Other Mathematical
Explorations by Keith Ball,
Notices of the American Mathematical Society
volume 51, number 11
December 2004
pages 1352-1354
Sums of non-integral powers
Journal of Mathematical Analysis and Applications
volume 297, number 1
September 2004
pages 343-349
An elementary calculation of the dihedral angle of the regular
n-simplex
(with Dean C. Wills)
American Mathematical Monthly, 109 (2002), 756-758
Energy estimates for area minimizing
hypersurfaces with arbitrary boundaries
(with Jon T. Pitts)
Journal of Computational and Applied Mathematics, 115 (2000),
451-460
Surfaces minimizing integrals of divergent integrands
in "Analysis of Divergence: control and management of
divergent processes"
edited by William O. Bray
and Caslav V. Stanojevic
Birkhauser, 1999
Minimal surfaces with constant contact angle
(with Kirk Lancaster)
in
"Nonlinear Mathematical Analysis and its Applications"
edited by T. M. Rassias
Hadronic Press, 1998
Computing least area hypersurfaces spanning arbitrary boundaries
(with Jon T. Pitts)
SIAM Journal on Scientific Computing, 18 (1997), 886-917
The least gradient method for computing area minimizing
hypersurfaces spanning arbitrary boundaries
(with Jon T. Pitts)
Journal of Computational and Applied Mathematics, 66 (1996),
401-409
The least gradient method for computing area-minimizing
hypersurfaces
in
"Statistical Thermodynamics and Differential
Geometry of
Microstructured Material"
edited by H. T. Davis and J. C. C. Nitsche
Springer-Verlag, 1993, 99-116
A Jordan arc in Rm with positive
m-dimensional
Lebesgue measure
(with Richard M. Schori)
in
"The Problem of
Plateau - A Tribute to Jesse Douglas and Tibor Rado"
edited by T. M. Rassias
World Scientific Publishing, 1992, 229-236
Soap-film-like minimal surfaces spanning knots
Journal of Geometric Analysis 2 (1992), 267-290
Numerical approximation of parametric
oriented area-minimizing hypersurfaces
SIAM Journal on
Scientific and Statistical Computing 13 (1992), 499-511
On the vector sum of two convex sets in space
(with Steven G. Krantz)
Canadian Journal of Mathematics 43 (1991),
347-355
Numerical approximation of area-minimizing
hypersurfaces
in "Computing Optimal Geometries"
edited
by J. E. Taylor
American Mathematical Society
videotape and accompanying
abstracts, 1991
An application of the Cauchy-Kowalewsky Theorem:
The minimal surface equation
at corners
in
"Topics in Mathematical Analysis"
edited by T. M. Rassias
World
Scientific Publishing, 1989, 741-757
Partial regularity of functions of least gradient in
R8
Annali della
Scuola Normale Superiore di Pisa
Classe di Scienze, Serie IV, 15 (1988),
447-451
Existence and Lipschitz regularity of functions
minimizing integrals of
certain positively homogeneous integrands
Communications in Partial Differential Equations 13 (1988), 927-983
A strong approximation theorem for real cycles
Indiana University Mathematics Journal 35 (1986), 449-450
Nonlinear conditions for differentiability of functions
(with John Duncan and Steven G. Krantz)
Journal d'Analyse Mathematique 45
(1985), 46-68
The coincidence set for two-dimensional
area minimizing surfaces in Rn
which
avoid a convex obstacle
in
"Differential Geometry, Calculus of Variations,
and Their Applications"
edited
by G. M. Rassias and T. M. Rassias
Marcel Dekker, 1985, 385-389
Jacobi fields and regularity of functions of least gradient
(with William P. Ziemer)
Annali della Scuola Normale Superiore di Pisa
Classe
di Scienze, Serie IV, 11 (1984), 505-527
Regularity of solutions to elliptic isoperimetric problems
Pacific Journal of Mathematics 113 (1984), 463-470
Elliptic isoperimetric problems
Indiana University Mathematics
Journal 30 (1981), 937-958
Distance to Ck hypersurfaces
(with Steven G. Krantz)
Journal of Differential Equations 40 (1981), 116-120
The Gauss map of a three-dimensional minimal surface
Journal of Differential Geometry 16 (1981), 75-81
Some new constructions and estimates in the problem of least area
Transactions of the American Mathematical Society 248 (1979), 311-346
Explicit determination of area minimizing hypersurfaces
Duke Mathematical Journal 44 (1977), 519-534
A method for computing non-parametric area minimizing hypersurfaces
over n dimensional domains,
together with a priori error estimates
Indiana University Mathematics Journal 26 (1977), 625-643