NEWSLETTER
DEPARTMENT Of' MATHEMATICS ST. JOHN'S UNIVERSITY
JAMAICA. NEW YORK 11432
VOL- V, NO• 1 MARCH, 19 7 1
The NEWSLETTER is published by the Department of
Mathematics for the information of staff members and
students, as a vehicle for the exchange of ideas and in formation
of particular interest to the department.
NEWSLETTER
ST. JOHN'S UNIVERSITY
DEPARTMENT OF MATHEMATICS
JAMAICA. NEW YORK 11432
Vol. V, NO. 1
EDITORIAL BOARD
DR. JOHN TUCCIARONE
PROF. ANTHONY SARNO
DR . VINCENT MANCUSO
MRS. MARY O'SHEA
March, 1971
TABLE OF CONTENTS
Memorial
Page
1
Colloquia . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
New Faculty . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Research Publications . . . . . . . . . . . . . . . . . . 5
Graduate Program . . . . . . . . . . . . . . . . . . . . . . . 7
Undergraduate Program ....... ........ ... 9
Speaker's Bureau . . . . . . . . . . . . . . . . . . . . . . . 11
Faculty Notes . . . . . . . . . . . . . . . . . . . . . . . . . . 12
MEMORIAL
It was with profound shock and remorse that
the St. John's Mathematics Department received the
news of the death of Professor Max Kralik on
February 7, 1971, Professor Kralik had been on the
faculty at SJU since 1961.
To the students and faculty at SJU, he will
be remembered as one of the most able and respected
teachers. His concern for excellence was appreciated
by all, especially those who received his personal
tutelage. The students of SJU publicly recognized
his intense dedication to education when they selected
him as an honorary member of the Roger Bacon
Scientific Honor Society in 1968,
To the faculty of the department, "Max" was
much more than an object of emulation. His colleagues
were truly inspired by his creativity in mathematics
and his breadth of knowledge. Much of his time was
spent helping others with their own research. Max
possessed a keen perception in solving the most complex
mathematical problems. His sheer vitality was a
main support to the spirit of the entire department.
The past year had been a full one for Max. He
had recently conducted a seminar in Graph Theory,
chaired one of the sessions of the first New York
City Graph Theory Conference held at SJU in June,
1970, and was one of the editors of the Proceedings
of that conference. The Proceedings are being published
by Springer-Verlag under the title "Recent
Trends in Graph Theory." He had been the featured
speaker at the 1970 Pi Mu Epsilon induction at SJU,
a faculty seminar at Manhattan College, and the
Awards Assembly of the 1970 Metropolitan N.Y. Math
1
Fair held at Pace College. Perhaps his most
distinguished accomplishment, one which at-tests
to the esteem with which his scholarship
was regarded by the mathematical community, was
his selection as a Participating Scholar in the
New York Academy of Sciences "Mathematician 1n
Residence" Program. Max was invited by the
Academy to spend one week in November, 1970, with
15 young scholars under the tutelage of Professor
Paul Erdos, a world renowned mathematician.
Those who knew him, along with his colleagues
at St. John's, will cherish his memory. Suitable
memorials are now being planned at SJU to keep
that memory fresh so that it may serve as an inspiration
to all who love mathematics, just as Max
inspired us when he was alive.
2
ST. JOHN'S MATHEMATICS DEPARTMENT COLLOQUIA
1970-71
FALL:
Prof. Francis Siwiec of St. John's University
Topological Characteristics of Maps with Real
Domain and Range October
Prof. Nachman N. Eshel of St. John's University
The Theory of Elasticity: The Old and the New
November
Prof. Donald McCarthy of St. John's University
Subgroups of the Power Semi-group of a Group
December
SPRING:
Prof. Michael E. Levin of City University of New York
Interpreting Intuitionistic Logic
February
Prof. Martin Leibowitz of SUNY at Stony Brook
Linear Differential Equations with Randomly
Varying Coefficients
February
Prof. Robert Maydole of St. John's University
Gods, Sets and Deviant Logics
February
The Colloquia are generally held on alternate
Wednesdays or Thursdays, at 2:30 P.M. in St. John
Hall on the Jamaica Campus. Prof. Michael Capobianco,
the Chairman of the Mathematics Department at SJU,
will speak on March 18, at 2:30 P.M. For information
on future topics and speakers, contact Prof. Jon Cole
at 212 969-8000.
3
NEW FACULTY
The St. John's Mathematics Department welcomed
two new members to the faculty in September, 1970,
and one new member in February, 1971. They are:
Nachman N. Eshel - Prof. Eshel received his doctorate
from the Department of Civil Engineering and
Engineering Mechanics at Columbia University in 1965.
He spent one year as a Post-Doctoral Fellow at the
Courant Institute of Mathematical Sciences at New
York University, and later was on the faculty of City
College of N.Y. and New York University. Prof. Eshel's
main area of research is elasticity. He was appointed
with the rank of Assistant Professor and is currently
teaching undergraduate Calculus, and a graduate course
in Linear Algebra .
Donald McCarthy - Prof. McCarthy received his B.S.
from Manhattan College in 1961, his M.S. in 1963 and
Ph.D. in 1965 from New York University. Prof. McCarthy
taught on both the graduate and undergraduate levels
at Fordham University before coming to St. John's. His
current research is in Algebra. Prof. McCarthy was
appointed with the rank of Assistant Professor and is
presently teaching undergraduate courses in Algebra,
Complex Analysis and Number Theory.
Milton Rosenberg - Prof. Rosenberg received his B.S.
from City College of N.Y. in 1957, his M.A. in 1962
and Ph.D. in 1964 from Indiana University. Before coming
to St. John's, Prof. Rosenberg worked as a research
mathematician and taught at Tulsa University, Brooklyn
College and Kansas University. His fields of interest
are Analysis and Probability. Prof. Rosenberg was appointed
in February, 1971, with the rank of Assistant
Professor, and is currently teaching Advanced Calculus
and Mathematical Statistics.
With the additions, the current total mathematics faculty,
including both the Jamaica Campus and Brooklyn Center, number 28,
Of these, 27 are teaching full-time, and one is on leave.
4
RESEARCH PUBLICATIONS
Th P, following is a parti al li s ting of the
va rious publi cations completed or in progress during
the 1970-71 academic year:
Dr. Michael Capobianco - A paper "Some Th eorems
on Tensor Composite Graphs," to appear in the NBS
Journal of Research, Sec. B. Dr . Capobianco i s also
under contract with International Textbook Co. for
the preparation of a graduate text in Mathemati cal
Statistics.
Dr. Jon Cole - A paper
Banach Spaces," to appear in
tion Theory and Applications .
"A Selector Theorem in
the Journal of Optimiza-
Dr. Nachman Eshel - A paper c.o-authored with
G. Rosenfeld of N.Y.U. entitled "Effects of StrainGradient
on the Stress-Concentration at a Cylindrical
Hole in a Field of Uniaxial Tension," Journal of
Engineering Mathematics, Vol. 4, No. 2, 97-111 (1970).
Dr. Vincent Mancuso - A paper "Some Mapping
Theorems," to appear in the Transactions of the N.Y.
Academy of Sciences. A paper co-authored with F.
Siwiec of SJU entitled "Relations among Certain
Mappings and Conditions for their Equival ence , " to
appear in General Topology and its Applic at ions, Vol.1 .
Dr. Donald McCarthy - A paper "Sylow's Theorem
is a Sharp Partial Converse to Lagrange's Theorem,"
in Mathematische Zeitschrift, Vol. 113, April, 1970.
A paper "Infinite Groups whose Proper Quotient Groups
are Finite, II," in the Communications in Pure and
Applied Mathematics, Vol. 23, September, 1970. A paper
"Subgroups of the Power Semi-Group of a Group , " submitted
to the Journal of Combinatorial Theory.
5
Dr. Lawrence Narici - A book entitled
"Functional Analysis and Valuation Theory,"
published by Marcel Dekker, New York, to appear
in March 1971.
Prof. Francis Siwiec - A paper co-authored
with V. Mancuso noted above. A paper "Sequencecovering
and Countably Bi-quotient Mappings," to
appear in General Topology and its Applications,
Vol. 1. A paper "Topological Mappings with Real
Domain and Range," submitted to the American
Mathematical Monthly.
6
J
'
GRADUATE PROGRAM
During 1970, the Graduate School of Arts and
Sciences conferred 10 Ma s ter' s degre es in mathematics.
The recipients included Hec tor Corella, Frances
DelTorto, Thomas Gallaghe r, James He ffron, Richard
Marino, Jo s eph Pantaleo, Joseph Previdi and Pe ter
Rooney. Two former gradu a te assistants who r ec eived
their M.A. 'sin June, 1970, were Gene Jannotti and
Jeanette Rybaczyk.
The department has the servic es of 11 graduate
assistants for the current academic year. Their main
duties include assisting as in-class instructors for
the Survey of Mathematics course which is taught on
closed circuit television by Prof. Michael Swirnoff
to about 500 students, conducting probl em sessions
for the basic calculus courses, and otherwise assisting
the faculty of the department.
Two of the new assistants received their undergraduate
degrees at Manhattan College, Gerald Lucchesi
and Joseph McDermott. Gerald was a Dean's List
student who taught at a mission school on the Sioux
Indian Reservation in South Dakota. Joseph has been
assisting with the computer programming course at
St. John's.
Peter Morfogenis was a Dean's List student at the
N.Y. Institute of Technology, where he was secretary
of the Aerospace Society. Robert Vincent received his
B.S. from St. Francis College, where he was president
of the math club, president of Kappa Mu Epsilon, and
a Dean's List student. Marilyn Mele received her
undergraduate degree from Molloy College.
Two new graduate assistants who are graduates of
SJU include Edward Micca and Marie Nusio. Edward was
7
a Dean ' s List student who graduated in 1968 and
spent two years with the Armed Forces in Germany
before resuming his studies this year . Marie
graduated in June, 1970, and was president of the
St. John's Chapter of Pi Mu Epsilon.
Four assistants have returned for their second
year at SJU. They are George Gillen, Michael Drinka,
Hilary Huang and Takvor Ozsan . George and Michael
are graduates of St. Francis College, Tak holds a
B.S. from Queens College and Hilary did her undergraduate
work in Taipei, Republic of China.
The department has added a new course to its
graduate course offerings, namely, Introduction to
Combinatorics, Math 150, and has expanded the
graduate Linear Algebra course to a two semester
course (Math 209-210). The graduate staff is presently
conducting a cooperative seminar with the
graduate staff of the SJU Philosophy Department, on
recent independence results in the foundations of
Set Theory due to Paul J . Cohen.
With the addition to the faculty of several new
members whose research interests lie in applied
mathematics, the department now realizes a major
strength in that area. Accordingly, the department
is currently planning to offer courses in the future
on the graduate and post-master's levels in applied
mathematics. These should be of interest not only to
SJU graduate students, but also to the countless research
mathematicians and engineers who are employed
by the industrial and technological companies in the
Long Island area. For further information, contact
Prof. Maurice Machover, the Graduate Adviser, at
212 969-8000.
8
UNDERGRADUATE PROGRAM
During the 1970 year, SJU conferred a total of
63 baccalaureate degrees to students who majored in
mathematics. Of those, 32 were in St. John's College,
7 in University College, and 24 in the School of
Education . This total represents a fairly stationary
trend for the past several years.
Incoming freshmen math and physics majors, found
a new two-year calculus sequence this past September.
The re-structured University Mathematics I, II, III,
IV, replaces the former Math 73-74, 75-76 sequence.
The new 16 credit cycle integrates the foundations of
set theory and logic and linear algebra into the calculus.
It emphasizes vector methods and multivariate
calculus. The acknowledged goal is to make the
transition for students from that course into Advanced
Calculus and Introduction to Real Analysis, a smoother
and more enriching one.
In addition, the department added two new undergraduate
courses this year : Applied Mathematics
(Math 97); Theory of Probability (Math 96). Prof.
Richard Morgan taught the first course in the Fall of
1970, and topics covered ranged from Fourier Analysis
and Integral Equations to the Calculus of Variations.
The second course is being taught presently by Prof.
Calvin Mittman.
At the Dean's Convocation in the Spring of 1970,
the following undergraduates were honored:
ST. JOHN'S COLLEGE
Gold Key in Mathematics (senior) ...... Stanley Zoltek
Silver Key (junior) ................. Patricia Greeve
9
Other nominees for the Gold Key were P. Bruzzo and
F. Horoszewski, and for the Silver Key, G. Feathers.
UNIVERSITY COLLEGE
Gold Key in Mathematics (senior) .... Barbara A. Calhoun
Silver Key (junior) ................ Mary Jane Calabro
Other nominees for the Silver Key were J. Baccash
and R. Dunne.
10
SPEAKER'S BUREAU
For the fourth successive year, the
Mathematics and Physics Departments are sponsoring
a Speaker's Bureau for schools in the New
York metropolitan area. The original aim of this
service was to provide speakers to address high
school student groups, math clubs, faculty seminars,
etc. This year, requests have been received
from a number of colleges as well. A member of
our staff will usually speak on a special topic
of interest to the group, or about career opportunities
in mathematics, or the mathematics program
at St. John's.
During the 1969-70 academic year, more than
15 requests were honored by the Mathematics
Department alone. The speakers included Professors
Chiaramonte, Gerber, Hughes, Machover, Mancuso,
Mittman, Molluzzo, Swirnoff and Tucciarone.
We are pleased to honor all such requests for
speakers, but since the faculty volunteer their own
time to offer these lectures, it is suggested that
arrangements be made as well in advance as possible.
For further information, or arrangements for a
speaker, contact John Tucciarone of the Mathematics
Department, or Professor Eric Rochleder of the
Physics Department at 212 969-8000,
11
FACULTY NOTES
Dr. Theresa Barz - was recently re-elected as
Corresponding Secretary of the SJU Chapter of the
AAUP. Dr. Barz received her doctoral degree from
Columbia University in September, 1970. She is
currently writing a text on mathematics for elementary
school teachers.
. Dr. William Callahan - presented papers at the
Winter and Summer meetings of the American Mathematical
Society in 1970. He gave another paper before
that group in January, 1971, in Atlantic City. Dr.
Callahan has been invited to present a paper for the
Acoustical Society of America at a meeting in
Buda~est, Hu~gary, in August, 1971. All of the papers
are in the field of vibrations.
Dr. Michael Capobianco - was promoted to the
rank of Professor. He was elected Vice-Chairman of
th~ Mathematics Division of the N.Y. Academy of
Sciences and was nominated in December, 1970, as a
Fellow of the Academy. Dr. Capobianco gave a lecture
at the N.Y. Academy of Sciences International Conference
on Combinatorial Mathematics. He is also one
of the e~i tors of "Recent Trends in Graph Theory,"
the published proceedings of the First New York City
Graph Theory Conference. His current field of research
is statistical inference in graphs.
Dr. Walter Cassidy - attended the AMS convention
in Laramie, Wyoming, in August, 1970.
Dr. Nachman Eshel - gave a talk on "StrainGradient
in Boundary Value Problems of Linear
Elasticity" at Stevens Institute of Technology in
January, 1971. His present research involves the
12
analysis of the stress field in elastic solids
in which the local stress depends on the local
strain as well as on the strain-gradient field.
Dr. Joseph Frechen - was the recipient of a
grant by the Federal Government to study new advances
in computer technology. He is currently on
leave at the System Development Corporation in
California as an observer. During the 1971-72
academic year, the second year of the grant period,
Dr. Frechen will determine how to integrate the
latest advances into the facilities at SJU.
Dr. Maurice Machover - is presenting a paper
"On the Inverse of a Measurable Function" at the
AMS Chicago meeting- in March, 1971. He was commissioned
to write several articles on mathematics
for the Encyclopedia Americana. Dr. Machover plans
to conduct a special graduate seminar during the
summer of 1971. He also continues his function as
adviser for the entire graduate program.
Dr. Vincent Mancuso - was promoted to the rank
of Associate Professor. He presented talks on his
recent publications at the N.Y. Academy of Sciences
in October, 1970; at a seminar at Hofstra University
in November, 1970; and at the AMS meeting in Atlantic
City in January, 1971.
Mr. Donald McCarthy - is presen~ing a talk at the
N. Y. Academy of Sciences in March, 1971, on "A Survey
of Converses to Lagrange's Theorem."
Dr. Edward Miranda - was the featured speaker at
a seminar at Molloy College in November, 1970, on
computer languages.
13
Dr. Richard Morgan - was Visiting Professor
of Mathematics at SUNY at Stony Brook in the
Applied Analysis Department during Spring, 1970.
Dr. Lawrence Narici - received nomination
for the AMS Cole Prize for Distinguished Mathematical
Exposition.
Dr. Milton Rosenberg - presented a paper coauthored
with Pesi Masani entitled "When is an
Operator the Integral of a Spectral Measure?" at
the AMS meeting in January in Atlantic City.
Prof. Anthony Sarno - has resumed his fulltime
teaching duties after spending the 1969-70
academic year as Assistant to the President at
SJU. He has also resumed his f;rmer activity as
Coordinator of Advisement for math majors on the
Jamaica Campus. He was recently elected President
of the Alpha Phi Delta national fraternity, dedicated
to scholarship and Catholic charity. Prof.
Sarno was honored by SJU at a convocation in
January, 1971, when he was presented with the University's
Pietas Medal, in recognition for his
many years of devoted service to St. John's in
several capacities.
Prof. Francis Siwiec - presented talks on his
recent publications at the International Topology
Conference in Pittsburgh and at the AMS meeting in
Atlantic City.
Prof. Louis Tolle - represented
the Mathematics Department, as well
college faculty, in his capacity as
gaining team member in negotiations
14
the faculty of
as the entire
collective barwith
SJU.
Dr. John Tucciarone - along with Dr. Donald
McCarthy and Dr. Maurice Machover, served as judges
for the 1970 Metropolitan New York Math Fair. Dr.
Tucciarone has submitted a paper to the Dartmouth
Conference on the Computer in the Undergraduate
Curriculum.
15
ST . JOHN'S UNIVERSITY
DEPARTMENT OF MATHEMATICS
JAMAICA. NEW YORK 11432