January, 2011

VITA

Edward Wesler Packel

PERSONAL

Date and Place of Birth:  July 23, 1941; Philadelphia, PA., U.S.A.

Home Address:   

                                730 Highview Terrace

                                Lake Forest, IL 60045-3229

                                (847) 295-7067

Work Address:    

                                Department of Mathematics and Computer Science

                                Lake Forest College

                                Lake Forest, IL 60045

                                PHONE:  (847) 735-5155

                                FAX:  (847) 735-6291

                                EMAIL: packel@lakeforest.edu

                                WEB PAGES:  http://math.lfc.edu/~packel/

EDUCATION

Amherst College, Amherst, Mass. (B.A. Mathematics, 1963)      1959-1963

M.I.T., Cambridge, Massachusetts (Ph.D. Mathematics, 1967)   1963-1967

Oxford University Math. Institute, Oxford, England                      1966-1967

NSF/AAAS Chautauqua Course in Mathematical Modeling       1971-1972

NSF Category Theory Seminar, Colgate University                       June 1972

MAA Workshop in Applied Mathematics, Cornell University   Summer 1976


DISSERTATION

"Some Results on (C₀) Semigroups and the Cauchy Problem," M.I.T., 1967;

Advisor, Gilbert Strang


HONORS AND AWARDS

Phi Beta Kappa, Amherst College,                                                    1963

Sigma Xi, Amherst College,                                                                1963

NSF Graduate Fellowship,                                                  1963-1966

NSF Research Grant,                                                                           1979-1981

NSF Research Grant,                                                                           1981-1983

Math. Assoc. of Amer. Book Prize,                                                   1986

NSF Research Opportunity Award,                                                  Summer 1986

Ernest H. Volwiler Chair in Mathematics &

Natural Sciences,                                                                 1987-present

Sears-Roebuck Award for Teaching Excellence

                & Campus Leadership,                                                        1989

Councilor, Council on Undergraduate Research,                           1990-1992

NSF Instrumentation Laboratory Improvement Grant,                  1991-1993

NSF Instrumentation Laboratory Improvement Grant,                  1995-1997

TEACHING AND RELATED EXPERIENCE

Consulting Engineer, G.E. Missile and Space Division                 Summer 1966

Assistant Professor of Mathematics, Reed College                       1967-1971

Assistant Professor of Mathematics, Lake Forest College           1971-1975

Director of Computer Center, Lake Forest College                         1972-1973

Associate Professor of Mathematics, Lake Forest College          1975-1982

Visiting Associate, California Institute of Technology                 1977-1978

Visiting Associate, California Institute of Technology                 Spring 1980

Professor of Mathematics, Lake Forest College                             1982-pres.

Senior Lecturer in Computer Science, Columbia University         1983-1985

Chairperson of Department of Math. and Comp. Sci.                    1986-1996

Visiting Prof., Math. Science Research Inst., Berkeley  1989-1990

Visiting Prof., Maths. Dept., Univ. of Sydney                 1996-1997

Visiting Prof., Harvey Mudd College, Claremont                            Fall 2003

GENERAL TEACHING AND RESEARCH INTERESTS

Game Theory

Information-Based Complexity

Social Choice Theory

Chaotic Dynamical Systems

Use of Technology (Mathematica) in Teaching Mathematics

Experimental Mathematics

Theoretical Computer Science

Functional Analysis

Mathematical Modeling

PROFESSIONAL ACTIVITIES

Papers Delivered:

• 1969 AMS Meetings, New Orleans

• 1977 Public Choice Society Meeting, New Orleans

• 1978 Public Choice Meetings, New Orleans

• 1979 AMS Meeting, Biloxi

• 1979 Public Choice Society Meeting, Charleston

• 1980 AMS Meetings, San Antonio

• 1980 Public Choice Society Meetings, San Francisco

• 1980 Internat. Econometric Society, Marseilles, France (by coauthor)

• 1981 AMS Meetings, San Francisco

• 1981 Public Choice Society Meetings, New Orleans

• 1982 AMS Meetings, Cincinatti

• 1982 AMS Special Session, Bryn Mawr

• 1982 Public Choice Society Meetings, San Antonio

• 1983 AMS Meetings, Denver

• 1983 MAA meetings, Illinois Section, Dekalb, Invited Address

• 1985 AMS Meetings, Anaheim

• 1985 Symposium on Complexity of Approximately Solved Problems, Columbia University

• 1985 Semester on Mathematical Problems in Computation Theory, Stefan Banach International Mathematical Center, Warsaw, Poland

• 1987 2nd Symposium on Complexity of Approximately Solved Problems, Columbia University

• 1988 AMS Meetings, Atlanta

• 1989 AMS Meetings, Special Session on Complexity, Phoenix

• 1989 Symposium on Optimal Recovery, Bulgarian Academy of Sciences, Varna, Bulgaria

• 1993 AMS Meetings, San Antonio, ILI Poster Session on Laboratory Approaches to Calculus

• 1994 AMS Meetings, Cincinnati, ILI Poster Session on Laboratory Approaches to Calculus

• 1994 International Conference on Technology in Collegiate Mathematics, Poster Session on Mathematica Notebooks for Introductory Calculus

• 1995 Australian Mathematical Society Meetings, Hobart, Australia

• 1995 Mathematica in Research and Education Conference, Hobart, Australia

• 1995 Claremont Colleges Conference on Technology in Education, Claremont, California

• 1995 Oberwolfach Conference on "New Trends in the Teaching and Learning

• 1996 AMS Meetings, Orlando, ILI Poster Session on Laboratory Approaches to Calculus

• 1996 AMS Meetings, Orlando, "My Favorite ODE Solver and Why"

• 1996 Univ. of Sydney Conference on "25 Years of Technology"

• 1997 Keynote Speaker, Western Kentucky Univ. 17th Annual Math. Symposium

• 1998 Keynote Speaker, Rose Hulman Institute of Technology 15th Annual Undergraduate Mathematics Conference

• 1998 Keynote Speaker, Eastern Pennsylvania/Delaware M.A.A. Meeting

• 1999 ACM/GLCA Mathematics Meeting, Mathematica presentation on "Symbolic Dynamics"

• 1999 Conference Speaker, ACM/GLCA Conf. on Undergraduate Mathematics

• 2004 AMS Meetings, Phoenix, "Use of Mathematica in teaching upper level probability and statistics"

• 2007 1^st International Conference on Mathematics and Statistics in Athens, Greece, “The Lambert W Function and Undergraduate Mathematics”

• 2009 Keynote Speaker, Ohio Section M.A.A. Meeting, Kenyon College, “Recent Results on Projectile Motion and a Plug for Experimental Mathematics”




Papers Refereed/Proposals Judged For:

• American Mathematical Monthly

• Mathematics Magazine

• Mathematical Reviews

• Journal of the American Statistical Association

• Public Choice

• International Journal of Game Theory

• Behavioral Science

• Journal of Economic Theory

• The UMAP Journal

• SIAM Journal on Applied Mathematics

• American Journal of Political Science

• Mathematical Social Sciences

• Mathematics of Operations Research

• Discrete Applied Mathematics

• Social Choice and Welfare

• Journal of Complexity

• Aequationes Mathematicae

• IEEE Transactions on Automatic Control

• SIAM Journal on Discrete Mathematics

• National Science Foundation Research Proposals

• National Science Foundation Minority Graduate Fellowship Program

• N. S. F. Instrumentation Laboratory Improvement Program

• N. S. F. Science, Technology, Engineering and Mathematics (S-STEM) Scholarship Program

• The College Mathematics Journal


PUBLICATIONS


Books:

FUNCTIONAL ANALYSIS; A SHORT COURSE (New York and London, Intext Educational

Publishers, 1974), Reprint Edition (New York, Krieger Publishing Co., 1980).

THE MATHEMATICS OF GAMES AND GAMBLING, Mathematical Association of America,

New Mathematical Library Series, 1981.

LEARNING BY DISCOVERY: A LAB MANUAL FOR CALCULUS,

(co-written with four other authors), Volume 1 of the ACM/GLCA Resources

for Calculus Collection, Mathematical Association of America, 1993.

ANIMATING CALCULUS: MATHEMATICA NOTEBOOKS FOR THE LABORATORY,

Macintosh Version (with Stan Wagon), W. H. Freeman, 1994.

MATHEMATICA FOR MATHEMATICS TEACHERS, Front Range Press, 1996.

ANIMATING CALCULUS: MATHEMATICA NOTEBOOKS FOR THE LABORATORY,

Windows/Macintosh Version (with Stan Wagon), TELOS/Springer-Verlag, 1997.




THE MATHEMATICS OF GAMES AND GAMBLING, Second Edition, Mathematical Association of America, New Mathematical Library Series, 2006.

Articles:

1. "A Semigroup Analogue of Foguel's Counterexample," Proceedings of the American Mathematical Society 21 (1969): 240-244.

2. "A Simplification of Gibson's Theorem on Discrete Operator Semigroups," Journal of Mathematical Analysis and Applications 39 (1972): 586-589.

3. "Hilbert Space operators and Quantum Mechanics," American Mathematical Monthly 81 (1974): 863-873.

4. "Four-way Stop or Traffic Lights:  An Illustration of the Modelling Process," M.A.A. Modules in Applied Mathematics (1976).  Reprinted in DISCRETE AND SYSTEM MODELS, Springer Verlag (1983): Chap. 5.

5. "To the (Minimal Winning) Victors Go the (Equally Divided) Spoils: A New Power Index for Simple n-Person Games," M.A.A. Modules in applied Mathematics (1976)(with John Deegan, Jr.). REPRINTED IN POLITICAL AND RELATED MODELS, Springer Verlag (1983): Chapter 10.

6. "A New Index of Power for Simple n-Person Games," International Journal of Game Theory 7 (1978): 113-123 (with John Deegan, Jr.).

7. "An Axiomatized Family of Power Indices for Simple n-Person Games," Public Choice 35 (1980): 229-239 (with John Deegan, Jr.). Reprinted in Manfred Holler, Power, Voting, and Voting Power, Physica Verlag (1982): 213-221.

8. "Nonequilibrium Solutions for Legislative Systems," Behavioral Science 25 (1980):  140-148 (with John Ferejohn and Morris Fiorina).

9. "Continuous-Valued Binary Decision Procedures," Review of Economic Studies 47 (1980): 787-796 (with John Ferejohn, David Grether, and Steven Matthews).

10. "Impossibility Results in the Axiomatic Theory of Intertemporal Choice," Public Choice 35 (1980): 219-227.

11. "Transitive Permutation Groups and Equipotent Voting Rules, "Mathematical Social Sciences 1 (1980): 93-100.

12. "A Stochastic Solution Concept for n-Person Games," Mathematics of Operations Research 6 (1981): 349-362.

13. "Social Decision Functions and Strongly Decisive Sets," Review of Economic Studies 48 (1981): 343-349.

14. "Semisimple Games, Enactment Power, and Generalized Power Indices," International Journal of Game Theory 10 (1981): 137-146.

15. "Strategic Equilibria and Decisive Set Structures for Social Choice Mechanisms," Mathematical Social Sciences 2 (1982): 373-382 (with Donald Saari).

16. "A Stochastic Model of Committee Voting with Exogenous Costs: Theory and Experiments," Behavioral Science 27 (1982): 43-56 (with Elizabeth Hoffman).

17. "Power, Luck, and the Right Index,"  Zeitschrift fur Nationalokonomie 23 (1983): 21-29 (with Manfred J. Holler). 

18. "Continuous Social Decision Procedures," Mathematical Social Sciences 6 (1983): 65-73 (with John Ferejohn).

19. "Limiting Distributions for Continuous State Markov Voting Models,"  Social Choice and Welfare 1 (1984): 45-67 (with John Ferejohn and Richard McKelvey).

20. "Power Structure and Cardinality Restrictions for Paretian Social Choice Rules," Social Choice and Welfare 1 (1984): 105-111.

21. "A Stochastic Model of Coalition Formation with Exogenous Costs:  Theory and Experiments," in Manfred Holler, COALITIONS AND COLLECTIVE ACTION, Physica Verlag (1984): 283-294  (with Elizabeth Hoffman). 

22. "Linear Problems (with Extended Range) Have Linear Optimal Algorithms," Aequationes Mathematicae 31 (1986): 18-25.

23. "Green Beards and Kindred Spirits: A Preliminary Mathematical Model of Altruism Toward Non-kin Who Bear Similarities to the Giver," Ethology and Sociobiology 7 (1986): 107-115 (with Robert Glassman and Douglas Brown).

24. "The Extent to Which Linear Problems Have Linear Optimal Algorithms," Mathematical Problems in Computation Theory, Banach Center Publications vol. 21 (1988)

25. "Recent Developments in Information-Based Complexity," Bulletin of Amer. Math. Soc., 17 (1987): 9-26 (with Henryk Wozniakowski).

26. "Information-Based Complexity," Nature 327 (1987): 29-33 (with J. F. Traub).

27. "The Algorithm Designer versus Nature: A Game-Theoretic Approach to Information Based Complexity," J. of Complexity 3 (1987): 244-257.

28. "Do Linear Problems Have Linear Optimal Algorithms?," Siam Review 30 (1988): 388-403.

29. "On the Value of 'Expository Research' for Mathematics Undergraduates," in Models for Undergraduate Research in Mathematics, edited by Lester Senechal, M.A.A. Notes, No. 18 (1990): 73-76.

30. "Measures of Uncertainty and Information in Computation," Information Sciences 65 (1992): 253-273 (with J. F Traub and Henryk Wozniakowski).

31. "Rearrangement Patterns for the Alternating Harmonic Series," Mathematica in Education (1994): (with Stan Wagon).

32. "Symbolic Dynamics: A Mathematica(l) Window to Chaos," in Proceedings of Sydney University 25 YEARS OF TECHNOLOGY Symposium, (1997):28-42.

33. "Permutations and Combinations," in Handbook of Discrete and Combinatorial Mathematics, edited by Kenneth Rosen, (2000):96-107.

34. "The Coordinated Solution for Superadditive Games with Empty Core," Homo Oeconomicus XX(4) (2004): 449-460 (with Dimitar Antov).

35. "On Montero's Comments concerning the Coordinated Solution of Antov and Packel," Homo Oeconomicus XX(4) (2004): 471-472 (with Dimitar Antov).

36. "Projectile Motion with Resistance and the Lambert W Function," College Mathematics Journal 5 (2004): 337-350 (with David Yuen).

37. "The Lambert W Function and Undergraduate Mathematics," in Essays in Mathematics and Statistics, edited by Vladimir Akis, ATINER, Athens, Greece, (2009):147-154.

Web Publications (refereed):

· http://demonstrations.wolfram.com/RearrangingTheAlternatingHarmonicSeries/  (2008) (with Stan Wagon)

· http://demonstrations.wolfram.com/The Gambler's Ruin/  (2008)

Book Reviews:

• THINKING WITH MODELS:  MATHEMATICAL MODELS IN THE PHYSICAL, BIOLOGICAL, AND SOCIAL SCIENCES, by T. Saaty and J. Alexander, reviewed in The UMAP Journal, Spring 1983.

• A GENERAL THEORY OF OPTIMAL ALGORITHMS, by J. F. Traub and H. Wosniakowski, SIAM Review 28 (1986): 435-437.

• GAME THEORY IN THE SOCIAL SCIENCES, by M. Shubik, SIAM Review 29: (1987): 158-160. 

• TEAM THEORY, by K. H. Kim and F. W. Roush, SIAM Review (1989).

• MATHEMATICAL GAMES AND HOW TO PLAY THEM, by Steven Vajda, The UMAP Journal 15 (1994): 89-90.

• DIFFERENTIAL EQUATIONS WITH MATHEMATICA, by Abell & Braselton, The Mathematica Journal, 4 (1994): 8-9.

• COMPLEXITY AND INFORMATION, by J. F. Traub and A. G. Werschulz, Complexity 4 (1999): 39-40.

• CHAOTIC ELECTIONS!: A Mathematician Looks at Voting, by Donald Saari, MAA Online Review, July 2001.

• GAME THEORY AND POLITICS, by Steven J. Brams, MAA Online Review, December 2004.

• THE THEORY OF GAMBLING AND STATISTICAL LOGIC, 2^nd Edition, by Richard Epstein, Journal of the American Statistical Association, December 2010, p. 1631.

• MATHEMATICS AND POLITICS, 2^nd Edition, by Alan Taylor and Allison Pacelli, Siam Review 52 (2010), p. 771.

COLLEGE RELATED ACTIVITIES

Faculty Coordinator of Reed College January (4-1-4) Program (1970-71)

Varsity Soccer Coach, Reed College (1967-1971)

Lake Forest College Visiting Lecturer Program Organizer (1971-1973)

Academic Policies Committee (1972-1974; Chairperson, 1975-1976; 1976-1977;

                1981-1983; 1986-1988)

Lake Forest College Dean of Faculty Search Committee (1973-1974; 1989)

College Council (1974-1975; 1999-present);

Varsity Soccer Coach, Lake Forest College (1973-1977)

President of Lake Forest College Phi Beta Kappa Chapter (1974-1975)

Founder and Faculty Sponsor of LFC Running Club (1981-1990)

Computer Activities Committee (1982-1983; Chair, 1985-1986; 1986-1989)

Trustee Investment Committee Faculty Representative (1985-1987)

Faculty Personnel Policies Committee (1990-1991)

Faculty Committee on Enrollment (1991-1995; Chairperson, 1992-1994)

Trustee Committee on Enrollment (1992-1994)

Trustee Committee on Development and Public Affairs (1994-1995)

Committee on Academic Technology (Chair, 1995-1996)

Faculty Personnel Policies Committee; Promotion & Tenure Subcommittee (1995-1996; 1997-1998)

Committee on Academic Technology (Chair, 1995-1996)

Library Information & Technology Committee (1997-1998)

Master of Liberal Studies Steering Committee (1998-1999)

Sexual Harassment Hearing Board (1998-2000)

Summer Research Grant Committee (1998-1999)

President of Lake Forest College Phi Beta Kappa Chapter (1998-1999)

College Council (1999-2002)

Trustee Budget and Audit Committee (1999-2000; 2001-2002)

Academic Innovations Group (2000-2002)

Presidential Task Force on Scholarship (Fall 2001)

External Honors Committee (2001-2002; 2004-2005)

Learning and Teaching Center Associate (2002-2003)

ACM Consortium (2004-2005)

Library Information and Technology Advisory Committee (Chair, 2005-2006; 2006-2007)

Health Professionals Advisory Committee (2005-2006; 2006-2007)

Student Symposium Committee (2007-2009)

Conduct Board (2008-2010)


CONSULTING AND RELATED ACTIVITIES

Mathematica courses for Wolfram Research

Rocky Mountain Mathematica workshops (consulting business)

Various consultations on gambling-related topics including:

• Probability calculations and simulations for new games

• Testimonials concerning expected payouts on slot machines

• Development and project management for person vs. machine poker with bluffing