John Synowiec


Department of Mathematics and Actuarial Science

Associate Professor of Mathematics Emeritus

Ph.D., Illinois Institute of Technology, 1964

Retired in Jun 2002 after 35 years with IU Northwest (from September, 1967)

I. Papers

1. (With J. DeCicco) “Elements of linear polygenic transformations and pseudo-angles

of a complex vector space", Rev. Mat. Univ. Parma (2) 10 (1969),

pp 55 - 70.

2. "A normed space of polygenic functions", Bul. Inst. Politeh. Din Isai 18 (22) ,

(1972) Fasc. 1-2, pp 5 - 13.

3. "Recent history of mathematics and teaching", pp 96 - 105 of the proceedings of the

Symposium on the Use of History in the Teaching of Mathematics. Valparaiso

University, 1980.

4. "Distributions: the evolution of a mathematical theory", Historia Math. 10 (1983),

pp 149 - 183.

5. "Harmonic Analysis, Partial Differential Equations, and Symbolic Methods",

pp 152 - 186 of the Proceedings of LaCrosse Math-History Conference III,

1990, Ed. J. D. WINE, University of Wisconsin-LaCrosse.

6. “Cauchy and Partial Differential Equations”, Combined Proceedings for the Sixth and

Seventh Midwest History of Mathematics Conferences, pp 132 – 153.

7. “Exterior Differential Forms – From Research to Teaching Tools, ibid. pp 118 – 131.

8. “Some Highlights in the Development of Algebraic Analysis” pp 11 – 46 of

Algebraic Analysis and Related Topics. Ed. Danuta PRZEWORSKA-

ROLEWICZ . Banach Center Publications Vol. 53, Warsaw, 2000.

II. Invited talks

1. January 7, 1983 "The Origins of Weyl's Lemma". Invited talk at Special Session on

the History of Mathematics, American Mathematical Society Annual Meeting,

Denver, Colorado.

2. September 24 September, 1999 “Some Highlights in the Development of Algebraic

Analysis”, Invited address at Conference on Algebraic Analysis ad Related

Topics Warsaw, Poland.

III. Other talks

1. November 30, 1974 “Distribution Theory – An Example of the Evolution of a

Mathematical Concept”. Indiana Section of the Mathematical Association of

America. Indianapolis, Indiana

2. May 16, 1975 “Some Contributions of Polish Mathematicians to Distribution Theory”

Polish Institute of Arts and Sciences in America. Montréal, Canada.

3. April 23, 1982. "The Revival of Fourier Analysis in the Theory of Partial Differential

Equations". Conference on the History of Mathematics With Emphasis on the

Development of Calculus. Ball State University, Muncie, Indiana.

4. August 3, 1986 "Pseudo-Differential Operators and Operational Calculus".

International Congress of Mathematicians, Berkeley, California.

5. March 13, 1987 “From the Early Years of Generalized Functions”. Research

Conference on Generalized Functions. University of Central Florida, Orlando, Florida.

6. March 23, 1991 "Integration á la Mikusiński". Indiana Section Meeting of the

Mathematical Association of America, Anderson University, Anderson, Indiana.

7. October 2, 1992 "CARTAN, DIRAC, and van der WAERDEN - Their Role in the

Creation of the Theory of Spinors". Fourth Midwest History of Mathematics

Conference, Miami University, Oxford Ohio.

8. March 16, 1993 “Singular Integrals – From Weierstrass to Calderón and Zygmund”.

Colloquium, University of Central Florida, Orlando, Florida.

9. January 13, 1994 "Singular Integrals to Distributions - From Cauchy to Schwartz".

Annual Meeting of the American Mathematical Society Cincinnati, Ohio.

10. October 14, 1994 "A Historical Essay on The Fourier Integral", Fifth Midwest

Math-History Conference. University of Indianapolis, Indianapolis, Indiana.

11. April 5, 1997 “Cauchy and Partial Differential Equations”, Tenth Anniversary

Midwest Conference on the History of Mathematics. University of Akron, Akron,

Ohio.

12. January 6, 2002 “Poincaré’s Role in the creation of the Theory of Functions of

Several Complex Variables”, Annual Meeting of the American Mathematical

Society San Diego, California.

IV. Book Reviews

1. Review of: Number Systems and the Foundations of Analysis, by E. MENDELSON

in American Mathematical Monthly, 82 ( 1975) pp 686 - 687.

Invited to review books for Journal of Undergraduate Mathematics and Applications (UMAP) by Robert G. Bartle: (items 2 through 5)

2. Review of Mathematical Modeling. Ed. By J. G. ANDREWS and R. R. McLONE,

UMAP J. 1 No. 3 (1980) p 123.

3. Review of Modern Modeling of Continuum Phenomena. Ed. By Richard C. D.

DiPRIMA. UMAP J. 1 No. 4 (1980) p 126.

4. Review of Introduction to Dynamic systems: Theory, Models, and Applications, by

David G. LUENBERGER. UMAP J. 2 No. 1 (1981) p 125.

5. Review of Generalized Functions, by R. F. HOSKINS. UMAP J. 3 No. 1 (1982)

p 128

6. Review of: Introduction to Partial Differential Equations and Hilbert Space

Methods, by K. GUSTAFSON in SIAM Review 25 (1983) pp 110 - 111.

7. Review of: Introduction to Hilbert Spaces With Applications, by L. DEBNATH and

P. MIKUSINSKI in SIAM Review 35 (1993) pp 341 - 342.

8. Review of: A Guide to Distribution Theory and Fourier Transforms by Robert

STRICHARTZ, in Amer. Math. Monthly 103 (1996) pp 435 – 440.

V. Meetings and Conferences Attended.

1. Canadian Mathematical Congress, Quebec City, Canada. August. 1965.

2. International Congress of Mathematicians. Moscow, Russia. August 1966.

3. Conference of Generalized Functions. Katowice, Poland, August, 1966.

4. Conference on Applications of Generalized Functions. Stoney Brook, New York,

September, 1966.

5. International Congress of Mathematicians. Nice, France, August, 1970.

6. Seminar on Discrete Mathematics and its Applications. Indiana University,

Bloomington. November 18 – 20, 1976.

7. NSF – CBMS Conference on the Navier- Stokes Equations and Nonlinear Functional

Analysis. Principal speaker: Roger Temam. Northern Illinois University,

DeKalb, Illinois August 24 – 28. 1981.

8. Rose-Hulman Conference on Undergraduate Mathematics: “Applied Mathematics

and Mathematical Modeling”. Terre Haute, Indiana, April 19 – 20, 1985.

9. International Congress of Mathematicians. Berkeley, California, August 3 – 11, 1986.

10. Research Conference on Generalized Functions and Partial Differential Equations.

University of Central Florida, Orlando, Florida, March 12 – 13, 1987.

11. NSF Workshop on HP48SX. Clemson University, Clemson, South Carolina. July

22 – 26, 1991.

12. NSF Short Course. Discrete and Continuous Fourier Analysis. Conducted by David

Kammler, Southern Illinois University, Carbondale, Illinois. March 15 – 20, 1992.

13. American Mathematical Society Short Course: Wavelets and Applications.

Conducted by Ingrid Daubechies. San Antonio, Texas, January 11 – 12, 1993.

VI. Books Reviewed by Invitation of Publishers

1. Mikusiński, Jan, and . Mikusiński, Piotr, An Introduction to Analysis. From Number

to Integral. John Wiley, 1993.

2.. Mikusiński, Piotr, and Taylor, Michael D. An Introduction to Multivariable Analysis.

From Vector to Manifold. Birkhäuser, 2002.

3. Kammler, David W. A First Course in Fourier Analysis. Prentice- Hall, 2000.