Faculty
Integrative Studies

Photo Courtesy of Digital VIsion	Education: Ph.D. Univeristy of Michigan, Mathematics
	Office: FAB N272
	Phone: 602-543-3021
	Email: victor.pambuccian@asu.edu
	Courses Taught: History of the Philosophy of Math, Mathematical Structures, Introduction to Geometry, Geometry for Teachers, Abstract Algebra, Theory of Numbers.

 

Victor V. Pambuccian receaved a Baccalaureat from German Lyceum (Rumania); a M.S. from the University of Bucharest (Rumania); and a Ph.D. from the University of Michigan. He is an assistant professor of Mathematics in the Department of Integrative Studies.

 

Courses Taught:

 

History and Philosophy of Mathematics (MAT 411)

This course examines the nature of mathematics from origin to the present, revealed by its history and philosophy. Strong background in mathematics is not required.

 

Geometry for Teachers

Introduction to Geometry (MAT 310)

This course covers congruence, area, parallelism, similarity and volume, and Euclidean and non-Euclidean geometry. Prerequisite: MAT272 or equivalent. Geometry for Teachers is a special topic offered for teachers.

 

 

Mathematical Structures (MAT300)

This course is an introduction to rigor and proof in mathematics. Basic logic, set theory, mathematical induction, combinatorics, functions, relations, and probability are covered. Prerequisite: 1 semester of calculus or instructor approval.

Please note that MAT 310 will be offered in Fall '99 and then in Fall 2001, so make sure you enroll in it for the Fall '99 semester.

Research Interests:

The connection between logic and geometry,such as axiomatizations of various geometries, Euclidean and
non-Euclidean; History of Greek and 20th century mathematics.

Publications:

Pambuccian, V.:
Zur konstruktiven Geometrie
Euklidischer Ebenen. (German) [On the constructive geometry of Euclidean planes]
Abh. Math. Sem. Univ. Hamburg 68 (1998), 7--16.

Pambuccian, Victor:
Zur Existenz gleichseitiger
Dreiecke in $H$-Ebenen. (German) [On the existence of equilateral triangles in
$H$-planes] J. Geom. 63 (1998), no. 1-2, 147--153.

Pambuccian, Victor:
Euclidean super-Pythagorean
geometry. Beitrdge Algebra Geom. 39 (1998), no. 2, 255--258.

Pambuccian, Victor:
On the simplicity of an axiom
system for plane Euclidean geometry.
Demonstratio Math. 30 (1997), no. 3,
509--512.

Blass, Andreas; Pambuccian, Victor:
On a problem of H.
N. Gupta. Geom. Dedicata 61 (1996), no. 3, 329--331.

Pambuccian, Victor:
Simple axiom systems for affine
planes. Zeszyty Nauk. Geom. 21 (1995), 59--74

Pambuccian, Victor:
Splitting the Pasch axiom. J. Geom.
56 (1996), no. 1-2, 126--130.

Pambuccian, Victor:
Ueber das Reichhaltigkeitsaxiom fuer
partielle affine Raeume. (German) [On the richness axiom for partial affine
spaces] J. Geom. 55 (1996), no. 1-2, 139--140.

Pambuccian, Victor:
Ternary operations as primitive
notions for constructive plane geometry. VI. Math. Logic Quart. 41 (1995), no.
3, 384--394.

Pambuccian, Victor:
Ternary operations as primitive
notions for constructive plane geometry. V. Math. Logic Quart. 40 (1994), no. 4,
455--477.

Pambuccian, Victor:
Ternary operations as primitive
notions for constructive plane geometry. IV. Math. Logic Quart. 40 (1994), no.
1, 76--86.

Pambuccian, Victor:
Ternary operations as primitive
notions for constructive plane geometry. III. Math. Logic Quart. 39 (1993), no.
3, 393--402.

Pambuccian, Victor:
Zum Stufenaufbau des
Parallelenaxioms. (German) [On the stepwise construction of the parallel axiom]
J. Geom. 51 (1994), no. 1-2, 79--88.

Pambuccian, Victor:
Ternary operations as primitive
notions for constructive plane geometry. II. Z. Math. Logik Grundlag. Math. 38
(1992), no. 4, 345--348.

Pambuccian, Victor:
Mathematik, Intuition und die
Existenzweise des Seins. (German) [Mathematics, intuition and the being mode of
existence] Wiss. Menschen 3 (1992), 87--119.

Pambuccian, Victor:
Unit distance as single binary
predicate for plane Euclidean geometry. Zeszyty Nauk. Geom. 18 (1990), 5--8.

Pambuccian, Victor:
Simple axiom systems for Euclidean
geometry. Math. Chronicle 18 (1989), 63--74.

Pambuccian, Victor:
Another example of an exotic
function. Amer. Math. Monthly 96 (1989), no. 10, 913--914.

Pambuccian, Victor Ternary operations as primitive
notions for constructive plane geometry. Z. Math. Logik Grundlag. Math. 35
(1989), no. 6, 531--535.

Pambuccian, Victor:
Elias Canettis ``Blendung". Darstellung eines\\
nekrophilen Gelehrten, (German) [Elias Canetti's ``Auto-da-fe". The literary
representation of a necrophilic scholar]
Psyche (Stuttgart)} 41 (1987), 915-928.

Pambuccian, Victor:
An axiom system for plane
Euclidean geometry. Bull. Polish Acad. Sci. Math. 35 (1987), no. 5-6, 333--335.

Pambuccian, Victor:
Simplicity. Notre Dame J. Formal
Logic 29 (1988), no. 3, 396--411.

Schnabel, Rudolf; Pambuccian, Victor:
Diemetrisch-euklidische Geometrie als Ausgangspunkt f|r die geordnet-euklidische
Geometrie. (German) [The metric Euclidean geometry as starting point for the
ordered Euclidean geometry] Exposition. Math. 3 (1985), no. 3, 285--288.

Pambuccian, Victor:
Elementary Euclidean geometry and
algebra---a dualist point of view. Nepali Math. Sci. Rep. 9 (1984), no. 2,
45--62.

Pambuccian, Victor:
Congruence axioms for absolute
geometry. Math. Chronicle 14 (1985), 47--48.

Pambuccian, Victor:
A simple proof of a metrization
theorem. Math. Chronicle 13 (1984), 71--72. 54E35

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