I) EDUCATION DEGREES
Ph.D. 1980University of
Houston TX USAMathematicsin Algebraic Number Theory and Algebra.
Advisors: Prof. Dr.
Jurgen Schmidt and Prof. Dr. Helmut Hasse.
M.S. 1974Illinois Institute
of Technology (IIT), Chicago, ILMathematicsConcentration in Algebra and
Number Theory. Advisor: Prof. Dr. Leon Bernstein.
M.S. & B.S.
1965five years University of Timisoara, RomaniaMathematics and
PhysicsTheoretical MechanicsConcentration in Projective and
Differential Geometry. Advisor: Prof. Dr. Gh. Th.
Gheorghiu
European Baccalaureate
1960Lyceum of Oravita, RomaniaMathematics and Physics.
NOTE: The Romanian Masters
Degree granted is equivalent to the United States' masters degree in
mathematics. The Bachelor degree includes a level of education
equivalent to an American B.S. in Mathematics and Physics. The
evaluation is from the University of IllinoisChicago.
OTHER EDUCATIONAL
ACHIEVEMENT
19691970Concentration
in Complex Variables19 cr. hours at Wayne State Univ., Detroit,
MI.
19731974 The
Washington College of Chicago, Chicago, IL.
Concentration in
English Grammar & Literature, American History,American methods in
teaching and American Pedagogy.
1982Experience in
Basic Programing at Marshall Univ. Huntington, WV.
1984five sem. cr.
hrs. in Computer scienceAssembler & Pascal at Valparaiso Univ., IN.
1986one year
experience in Pascal at UWWhitewater, WI.
II)
PROFESSIONAL EXPERIENCE [ top ]
1991Present, Professor of Mathematical and Computer Sciences
at UWWhitewater, WI.
19891991, Assoc. Prof. of Math. & Comp. Sciences at
UWWhitewater, WI.
19851989, Assist. Prof. of Math. & Comp. Sciences at
UWWhitewater, WI.
19941985, Lecturer of Math. & Comp. Sciences at
UWWhitewater, WI.
19831984, Assist. Prof. of Math. & Comp. Sci. at
Valparaiso Univ., IN.
19811983, Assist. Prof. of Math. & Stat. at Marshall
Univ., Huntington, WV.
19801981, Assist. Prof. of Math., Stat., and Comp. Sci. at
Marquette Univ., Milwaukee, WI.
19781980, Assist. Prof. of Math. & Stat. at Western
Illinois Univ., Macomb, IL.
19751977, Graduate Teaching Assistant at University of
Houston, Houston, TX.
19711974, Graduate Teaching Assistant at Illinois Institute
of Technology, Chicago, IL.
III) PROFESSIONAL PUBLICATIONS
[ top ]
Linked works are available for download as Adobe Acrobat
files.
with H.Hasse, Putting last
digits first yields multiple, Rendiconti di Matematica (1) vol.8,
serie VI.,(1975).
nDimensional
Fibonacci numbers and their applications, The Fibonacci quarterly,
Vol.21, No.4 (1983), 285301.
An algorithm in a
complex field and its applications to the calculation of units (ACF),
Pacific J.of Math., Vol.110, No.1 (1984), 2140.
Some new
combinatorial identities derived from units in algebraic number fields,
Discrete Mathematics, 54 (1985), 133141.
Diophantine
Equations and Identities, Internat.J.Math. & Math.Sci.,
Vol.8.No.4 (1985), 755777.
Approximation of
irrationals, Internat.J.Math.and Math.Sci., Vol.8.No.2 (1985),
303320.
Trigonometric
Identities, Internat.J.Math. & Math.Sci.Vol.9.No.4 (1986),
705714.
Pythagorean
Triangle of equal areas, Internat.J.Math. & Math.Sci.Vol.11.No.
4 (1988), 769780.
More units from
the periodicity of an algorithm, Bul.Numb.Theory, Vol.XII (1988),
8189.
HalterKoch
units from the periodicity of (AFC) Algorithm, Bul.Numb.Theory,
Vol.XIII (1989), 7380.
Hermite's problem from the periodicity of
(ACF) algorithm, Bul.Numb.Theory, Vol.XIV (1990), 5767.
The periodicity
of an algorithm over the complex number field (ACF) and the solution of
the Hermite problem, The Math.heritage of C.F.Gauss, 4352, 1991.
Hilbert's demand
for the disclosure of units in algebraic number fields,
Bul.Numb.Theory, vol.XVI (1992), 149163.
With M.Gerlach, Fibonacci
Triples and Pythagorean triangles of equal areas, Bul.Numb.Theory,
Vol.XVI (1992), 714.
Baica's General
Euclidean algorithm (BGEA) and the solution of Fermat's Last Theorem
(FLT), Notes on number theory and discrete mathematics (NNTDM), 1
(1995), 3 (120134).
More
explanations about Baica's proof of Fermat's Last Theorem, NNTDM 2
(1996), 1519.
The Euclidean
character of Fermat's Last Theorem, NNTDM 2 (1996), 1, 20,23.
Baica's solution
of Fermat's Last Theorem in Euclidean, models and algorithms the
transition from abstract to applied mathematics, Analele
Universitatii "Eftimie Murgu", Resita, Fascicola III, Anul III (1996),
267278.
Baica's General
Euclidean Algorithm (BGEA) restricted periodicity an Ndimensional
equivalent of EulerLagrange theorem from quadratics, Scientific
Bulletin of the "Politehnica" University of Timisoara, Romania, Tom 42
(56)2 Math. & Physics (1997), 1823.
Baica's General
Euclidean Algorithm (BGEA) and sums of some infinite series,
Scientific Bulletin of the "Politehnica" University of Timisoara,
Romania, Tom 43 (57), 1 Math. & Physics (1998), 5461.
Some infinite
series and sums from (BGEA), Scientific Bulletin of the
"Politehnica" University of Timisoara, Romania, Tom 43 (57), 2 Math.
& Physics (1998), 815.
with M.Cardu, Regarding a global
methodology to estimate the energyecologic efficiency of thermopower
plants, Energy Conversion & Management, 40 (1999) 7187.
with M.Cardu, Regarding a new variant
methodology to estimate globaly the ecologic impact of thermopower
plants, Energy Conversion & Management, 40 (1999)15691575.
The Euler System
for the Algebraic Number Theory, Scientific Bulletin of the
"Politehnica" University of Timisoara, Romania, Tom 44 (58), 2 Math. & Physics (1999)1524.
with M.Cardu, Regarding the energy ecologic
efficiency of desulphurization and denox systems and installations in
thermopower plants, Energy Conversion & Management 41 (2000)
11551164.
Baica's General
Euclidean Algorithm (BGEA) the only Algorithmic explicit solution of
Hilbert's tenth problem, The PAMM's periodical Bulletins for
Applied and Computer Mathematics .BAM  743/2000XCIIA, 121128.
Baica's
Euclidean solution of Fermat's Last Theorem (FLT), Italian Journal
of pure and applied Mathematics, No.7 (2000), 151156.
A BOOK
titled:"The Euler System for the Algebraic Number Theory," MB15/PAMM (2000) 175 pages.
with M.Cardu, Application of the
methodology to estimate the energyecologic efficiency of fluidized bed
boilers, Energy Conversion & Management 42 (2001), 867876.
A BOOK
titled:"The Algorithmic Solution of the original Euclidean Fermat's
Last Theorem," MB21/PAMM (2001) 92 pages.
Solution
of Goldbach's Conjecture, Italian Journal of pure and applied
Mathematics N.9 (2001), 187200.
The Elliptical
Fermat's Last Theorem (ELFLT) and the original Euclidean Fermat's Last
Theorem (ELFT), Scientific Bulletin of the "Politehnica"
University, Timisoara, Romania, Tom 46 (60), 1 Math. & Physics
(2001), 512.
With M.Cardu, A seismic version regarding a
methodology to estimate globally the energyecologic efficiency of
Thermopower Plants (TPPs), Energy Conversion and Management 42 (2001),
13171325.
Algorithmic
Solution of the original Euclidean Fermat's Last Theorem (EFLT), The
PAMM's Periodical Bulletins for Applied and Computer Mathematics,
BAM1841/2001 (XCVIA), 2936.
Solution of Goldbach's Conjecture, The PAMM's Periodical
Bulletins for Applied and Computer Mathematics, BAM1842/2001 (XCVIA),
3942.
With M. Cardu, Gas Turbine Installations
with divided expansion, Energy Conversion & Management, 43 (2002),
17471756.
With M.Cardu, A new global estimation of
the atmospheric pollution due to the Thermopower Plants. Scientific
Bulletin of the Politehnica" University Timisoara, Romania, Mechanical
Section, Tom47 (61) (2002), 4144.
Clarifications
of the Author's Previous Paper on Goldbach's Conjecture, Scientific
Bulletin of the "Politehnica"University, Timisoara, Romania, Tom 47
(61), 1 Math. & Physics (2002), 2034.
A cyclotomic field to derive some
trigonometric identities, The PAMM's Periodical Bulletins for Applied
and Computer Mathematics, BAM 2036CI/2002, 914.
With M.Cardu, Elements of
Polygonal Trigonometry, Scientific Bulletin of the "Polytehnica"
Timisoara, Romania, Tom 47 (61), 2 Math. & Physics (2002), 713.
Some Trigonometric Identities, The PAM's
Periodical Bulletins for Applied and Computer Mathematics,
BAM2048/2002 (CII), 14.
With M.Cardu, About the Ecological aspects
of Dual fuel combustion in Thermopower Plants, Energy Conversion &
Management 44 (2003), 17731786.
With M.Cardu, On the relation between
Atmospheric pollution due to the Thermopower Plants and the
Characteristics of their fuels, Energy Conversion & Management 44
(2003) 14191431.
Today's
status of the Fermat's Last Theorem, Scientific Bulletin of the
"Politehnica" University of Timisoara, RomaniaTransactions on
Mathematics & PhysicsTom 48 (62), 2 (2003)ISSN 12246069 (112).
With M. Cardu, Regarding
the general character of the Polygonal Trigonometry, Scientific
Bulletin of the "Politehnica" University of Timisoara,
RomaniaTransactions on Mathematics & PhysicsTom 48 (62), 1
(2003)ISSN 12246069 (16).
With A.Peretti, Baica's
Contributions to the Solution of the Binary Goldbach Problem,
Timisoara Research Centre of the Romanian Academy and
"Politehnica"University of Timisoara, Department of Mathematics
Prosidings of the tenth Symposium of Mathematics and its Applications
(Nov.69, 2003).
With A. Peretti, The Binary
Goldbach Problem, Scientific Bulletin of the
"Politehnica"University of Timisoara, RomaniaTransactions on
Mathematics & PhysicsTom 49 (63), 1, 2004. (Also available in an abridged
format.)
Baica, Malvina & Cardu, Mircea,
The HydrogenIdeal Energy Vector from the Ecological Point of View, The
Scientific Bulletin of the “Politehnica” University of
Timisoara, Romania, Conference on Pollution Generated by Thermo Power
Plants (TPPs), Mechanics, Nov. 2004.
With M.Cardu, Regarding the relation
between the NOx content and CO content in thermo power plants flue
gases, Energy Conversion & Management 46 (2005) 4759.
Baica, Malvina & Peretti, Aldo, The fundamental solution of the equation
X^2DY^2=1,The Scientific Bulletin of the “Politehnica” University of Timisoara, Romania Transactions on Mathematics and
Physics, (2005), Tom 50(64), No.2, p.29.
Baica, Malvina & Cardu, Mircea,
Periodic Transtrigonometric Functions, The
Scientific Bulletin of the “Politehnica” University of
Timisoara, Romania, Transactions on Mechanics, Proceedings of the XIth
International Conference on Vibration Engineering.(2005)
Baica, Malvina & Cardu,
Mircea, A Global EnergyEcologic and
Synthetic approach of the problem of thermo power plants gaseous
pollutant emissions, EMERG I (book on selected papers), Romanian
Academy of Sciences (2005), p.233248.
Baica, Malvina &
Peretti, Aldo, a BOOK titled :
Several “Star” problems in Analytic Number Theory,Monographical
Booklets in Applied & Computer Mathematics.MB31
(2005)/PAMMBudapest University of Technology and Economics (BUTE), 115
pages.
Baica, Malvina & Cardu, Mircea, Nuclear power plants for peak loads in
power systems, using the hydrogen as energy agent, Academie
Roumaine, Revue Roumaine des Sciences Techniques, Serie
Electrotechnique et Energetigue, Tome 51 (2006), No.1, p.97109.
Baica, Malvina& Peretti, Aldo, An Abridged Method to derive asymptotic
formula for Goldbach Decomposition, The PAMCIX/2006, Nr. 2270.
Baica, Malvina & Cardu, Mircea, The Infratrigonometry, an inferior order
neighborhood domain of Transtrigonometry, The Scientific Bulletin
of the “ Politehnica” University of Timisoara, Romania,
Transactions on Mathematics and Physics, Tom 51(65), 1, 2006, p. 1621.
Baica, Malvina & Cardu, Mircea, The Ultratrigonometry, a superior order
adjacent domain of the Transtrigonometry, The Scientific Bulletin
of the “Politehnica” University of Timisoara, Romania,
Transactions on Mathematics and Physics, Tom51(65), 1, 2006, p. 2935.
Baica, Malvina & Cardu, Mircea, The Paratrigonometry and some of its
Specific Symmetries, The Scientific Bulletin of the
“Politehnica” University of Timisoara, Romania,
Transactions on Mathematics and Physics, Tom 51 (65), 2, 2006, p.111.
Baica, Malvina & Peretti, Aldo (2006), A Generalized Descartes (Goldbach) Binary
Problem, The PAM’s Periodical Bulletins for applied and
Computer Mathematics, BAMCIX/2006,Nr.2274.
Baica, Malvina & Cardu, Mircea, Regarding the Paratrigonometric Equation of
the Circle, The Scientific Bulletin of the “Politehnica” University
of Timisoara, Romania, Transactions on Mathematics and Physics, Tom
52(66), 1, 2007, p.1823.
Baica, Malvina & Cardu, Mircea, Some Developments of the fundamental
Paratrigonometric Equation, The Scientific Bulletin of the
“Politehnica” University of Timisoara, Romania,
Transactions on Mathematics and Physics, Tom 52(66), 2, 2007,p.2329.
Baica, Malvina, Some new nonclassical Trigonometries, The
Bulletin for Applied and Computer Mathematics (B A M)CX/2007,
Nr.2309.
Baica, Malvina & Cardu, Mircea, The
application of the four Trigonometric Quadrants, The Scientific
Bulletin of the “ Politehnica “ University of Timisoara,
Romania, Transactions on Mathematics & Physics, Tom 53(67) 1, 2008.
Baica, Malvina & Cardu, Mircea, An
Application case of the Paratrigonometric Polar Coordinates, The
Scientific Bulletin of the “ Politehnica” Universityof
Timisoara, Romania, Transactions on Mathematics & Physics, Tom
53(67), 2, 2008.
Baica, Malvina & Cardu, Mircea, Baica
& Cardu Paratrigonometric functions raised to some powers and
their Applications, The Scientific Bulletin of the
“Politehnica” University of Timisoara, Romania,
Transactions on Mathematics & Physics, Tom 54(68), 1, 2009.
With M. Cardu, SONOX criterion application for ecological analysis of thermo power plants operation, Energy Conversion & Management 50 (2009) 304308.
Baica, Malvina & Cardu, Mircea, Para trigonometric functions relative to the finite spirals as the basic trigonometric figures, The Scientific Bulletin of the “ Politehnica” University of Timisoara, Romania, Transactions on Mathematics & Physics, Tom 54(68), 2, 2009, 9 – 17.
Baica, Malvina & Cardu, Mircea, Possibilities to represent some symmetric functions by unified equations and some of their applications in the Para trigonometry, The Scientific Bulletin of the “Politehnica” University of Timisoara, Romania, Transactions on Mathematics & Physics, Tom 55(69), 1, 2010, 1 – 11.
Baica, Malvina & Cardu, Mircea, A simplified alternative to develop periodic functions in Trigonometric Fourier Series, The Scientific Bulletin of the “ Politehnica” University of Timisoara, Romania, Transactions on Mathematics & Physics, Tom 55(69), 2, 2010.
With Cardu, Mircea and Negrea, Virgiliu – Dan, Considerations regarding a Thermopower installation having a Diesel Engine with Hydrogen combustion and Steam Turbine, Energy Conversion & Management, 51, 2010, 147 – 154.
Baica, Malvina & Cardu, Mircea, a BOOK titled: The Paratrigonometry – Nonconventional Trigonometry, The Academy of Technical Sciences of Romania, AGIR Publishing House Bucharest, Romania, 2010.
Baica, Malvina & Cardu, Mircea, Paratrigonometry, a Generalization of the Classical and Some New Non Classical Trigonometries and its Application in Mechanics and Wave Theory, Transylvanian Journal of Mathematics and Mechanics, Volume 2, Number 1, June 2010.
IV) PROFESSIONAL TALKS [ top ]
Invited speaker at many important Meetings.
Among them are:
AMS & MAA meeting at Bucknell University, Lewisburg,
Pennsylvania (1984).
NSFCBMS conference in Special Functions and Computer
Algebra at Arizona State University (1985).
International Congress of Mathematicians in Berkeley,
California (1986).
International Conference on Number Theory at Laval
University, Quebec, Canada (1987).
First Conference of the Canadian Number Theory
Association, Banff Centre, Canada (1988).
The Centenial AMS meeting, Providence, Rhode Island, Brown
University (1988).
International Conference on Analytic Number Theory,
Allerton Park, Urbana, Illinois (1988).
Second Conference of the Canadian Number Theory
Association, University of British Columbia, Vancouver, Canada (1989).
Intenational Conference on Analytic Number Theory,
Allerton Park, Urbana, Illinois (1989).
AMS , International Join Mathematics Meetings, Vancouver,
University of British Columbia, Canada (1993).
Minneapolis Mathfest, University of Minnesota (1994).
Intenational Conference on Analytic Number Theory,
Allerton Park, Urbana, Illinois (1995).
International Conference in Number Theory and Fermat Last
Theorem, Boston University, Boston (1995).
Two onehour invited addresses on Fermat's Last Theorem,
West University of Timisoara (1998).
The most recent are those at the International PAMM
(Pannonian Applied Mathematical Meetings),"Interuniversities" conferences in Central Europe, sponsored
by the Budapest University of Technology, twice a year, every year
since 1999 to the present time.
At the University "A.I.Cuza"Iasi, Romania, in 2000 and
2001.
At the University "Politehnica"Timisoara, Romania , in
19972003.
Every year conference in Bucharest, Romania since 1998.
International Conference in Mathematics Graz, Austria
(2007). More then Thirty Abstracts published.
V) PROFESSIONAL ORGANIZATIONS [ top ]
Present: AMS; New
York Academy of Sciences.
Past: MAA; Unione Mathematica Italiana; Calcutta
Mathematical Society.
VI) ENTRY INCLUDED IN [ top ]
The
International Directory of Distinguished Leadership 3rd edition
published by the American Biographical Institute, USA.(1990)
The
International "Who's Who of Intellectuals" 9th edition published by
the International Biographical Centre, Cambridge, England. (1990)
The
World "Who's Who of Women", 1992/1993eleventh edition, published by
the International Biographical Centre, Cambridge, England.
The
Marquis"Who's Who in the Midwest", 19941995, 24th edition, USA.
The
Marquis "Who's Who in America" 2004 (58th edition) published in New
Providence NJ, USA.
"The
Contemporary Who's Who" 2003/2004 edition, Raleigh, North Carolina, USA.
Romanian Personalities and their Accomplishments
DictionaryVol.XII, Venus Publishing (Fall 2005) Iasi, Romania.
Romanian Personalities and their Accomplishments
DictionaryVol.XIV, Venus Publishing (Fall 2005) Iasi, Romania.
“Who’s Who” in America 2006, 60th
Diamond Edition (Marquis).
“Who’s Who” in the World 2006
American Publication.
“Who’s Who in Sciences and Engineering”
2006 2007, 9th Edition Marquis.
“Who’s Who” of American Woman 20062007,
Silver Anniversary 25th Edition American Publication.
“Who’s Who of American Woman” 2007,
Marquis 26th Edition.
Dictionary of International Biography 2007, 33rd
Edition I.B.C. Cambridge, Great Britain.
“Who’s Who in America” 2007, 61st
Edition, Marquis Vol.1 (AL).
“Who’s Who in the World” 2007,
24th Edition (Blue), Marquis.
“Who’s Who in America” 2008, 62nd
Edition, MarquisVol.1 (AL).
Romanian Personalities and their Accomplishments
DictionaryVol. 32, pg. 332346, PIM Publishing –Iasi, Romania
(2008).
“Who’s
Who in Science and Engineering” 20082009, 10th Anniversary
Edition, Marquis.
“Who’s Who in the World” 2008,
25th Silver Anniversary Edition (Blue) Marquis.
Dictionary of International Biography 2008, 34th
Edition, I.B.C. Cambridge, England.
“Who’s Who of
American Women” 20082009, Celebrating 50 years 
Marquis.
“Who’s Who in
the World”2009, 26th Edition, Marquis.
World “Who’s Who of Women” 2009,
15th Edition I.B.C. Cambridge, England.
“Who’s
Who in America” 2009, 63rd edition American’s
Biographer for 110 years (18992009), Marquis.
“World Who’s Who
of Women“ 2011, 15th edition, I.B.C. Cambridge, England.
VII) HONOURS AND AWARDS [ top ]
Pi
Mu EpsilonNational Honorary Mathematics FraternityTexas Theta (1977).
The
1988 Excellence in Research Award, University of WisconsinWhitewater,
USA.
The
Certificate of Recognition Award for Outstanding Research, University
of WisconsinWhitewater, USA (1997).
The
Certificate of Recognition Award for Outstanding Research, University
of WisconsinWhitewater, USA (1998).
The
Certificate of Recognition Award for Outstanding Research, University
of WisconsinWhitewater, USA (1999).
The
Certificate of Excellence Award for Research, University of
WisconsinWhitewater, USA (2004).
Honorary Diploma (2003) from "Romanian ASTRA Association"(Transylvania
Association), Timisoara, Romania.
VIII)
MEMBER OF THE EDITORIAL BOARD OF THE MATHEMATICS AND
ENGINEERING JOURNALS
Jounal of Advanced Research in Applied
Mathematics (JARAM)
Journal of ADVANCE Research in Pure
Mathematics (JARPM)
Journal "General mathematics"
IX)REFEREE
FOR MATHEMATICS AND ENGINEERING JOURNALS
Journal of Progress in Energy and
Combustion Science (PECS)
Journal of Computers & Industrial
Engineering (CAIE)
Journal of Advanced Research in Pure
Mathematics (JARPM)
Journal of Energy Resources Technology
(JERT)
Journal of Computer and Fluids (ASME)
X)RECOMMENDATIONS [ top ]
Professor
Dr. Helmut Hasse, 1974.
Professor
Basil Gordon, 1988.
Professor
John Ewell, 1988.
Emeritus
Professor L. Carlitz, 1986.
Assistant
Professor Gregory Call, 1988.
Associate
Professor Edwin Klein, 1988.
Professor
George Rassias (1), 1989.
Professor George Rassias(2),1989.
Professor
George Rassias (3), 1991.
Professor
Larry Davis, 1991.
Professor
Jovo Jaric, 2004.
Professor
Aldo Peretti, 2004.

Associate Professor Bennette Harris, 2004.
