Philip Brown

Associate Professor
Department of Foundational Sciences, Mathematics

"Like a tiny drop of dew, or a bubble floating in a stream; Like a flash of lightning in a summer cloud, Or a flickering lamp, an illusion, or a dream. So is all conditioned existence to be seen."

- Buddha (from the Diamond Sutra)

Learn more about Philip Brown

Get To Know Philip Brown

What in your life drew you to your current field of study?

Exploring my favorite school subject.

What do you hope your students gain from studying or working with you?

To find out they don't need to be afraid of their professor.

What are you passionate about in your personal life?

Truth, Justice and Freedom.

Expertise
Complex Analysis, Conformal Mapping, Quasi-Conformal Mapping
Geometric Function Theory
Special Functions
Education
Ph.D. Mathematics, Texas A&M University, 2000
M.S. Mathematics, University of Witwatersrand, Johannesburg, South Africa, 1992
B.S.
Mathematics/Physics, University of Witwatersrand, Johannesburg, South Africa, 1990
Courses Taught
Algebra
Trigonometry
Finite Mathematics
Calculus
Differential Equations
Publications

Brown, Philip R. Approximations of e and pi: an exploration. Internat. J. Math. Ed. Sci. Tech 48 (2017), suppl. 1, S30–S39.

Brown, Philip R.; Porter, R. Michael Numerical conformal mapping to one-tooth gear-shaped domains and applications. Comput. Methods Funct. Theory 16 (2016), no. 2, 319–345. (Reviewer: Dmitri Valentinović Prokhorov)

Brown, Philip R.; Porter, R. Michael Gears, pregears and related domains. Complex Var. Elliptic Equ. 61 (2016), no. 1, 89–103. (Reviewer: Dmitri Valentinović Prokhorov)

Brown, Philip R.; Porter, R. Michael Conformal mapping of circular quadrilaterals and Weierstrass elliptic functions. Comput. Methods Funct. Theory 11 (2011), no. 2, [On table of contents: 2012], 463–486. (Reviewer: Stephen M. Zemyan)

Luxemburg, Leon A.; Brown, Philip R. The scalar Nevanlinna-Pick interpolation problem with boundary conditions. J. Comput. Appl. Math. 235 (2011), no. 8, 2615–2625. (Reviewer: Vladimir Bolotnikov)

Brown, Philip R. Conformal mapping of a gear domain with one tooth. Quaest. Math. 33 (2010), no. 3, 277–289.

Brown, Philip R. An investigation of a two parameter problem for conformal maps onto circular arc quadrilaterals. Complex Var. Elliptic Equ. 53 (2008), no. 1, 23–51. (Reviewer: F. W. Stallmann)

Brown, Philip R. Constructing mappings onto radial slit domains. Rocky Mountain J. Math. 37 (2007), no. 6, 1791–1812. (Reviewer: R. Michael Porter)

Brown, Philip R. Mapping onto circular arc polygons. Complex Var. Theory Appl. 50 (2005), no. 2, 131–154.

Brown, Philip R. Bloch constants of order N. Quaest. Math. 24 (2001), no. 2, 247–259. (Reviewer: Arcadii Z. Grinshpan)

Philip Brown, Foundations Of Mathematics: Algebra, Geometry, Trigonometry & Calculus, ISBN: 978-1-942270-75-1 March 2016

Professional Appointments

Tex Users Group (TUG)
South African Mathematical Society (SAMS)

Contact Info

Philip Brown
Associate Professor
Department of Foundational Sciences
(Mathematics)


brownp@tamug.edu
Phone: +1 (409) 741-4388

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