Invited Lectures

Table E.0.1. Invited Lectures


Year	Speaker	Title
1926	Reynolds	The evolutes of a certain type of symmetrical plane curves
1926	Mitchell	The analogue for ideals of the Lagrange-Gauss theory
		of quadratic forms
1926	Smail	A new treatment of exponentials and logarithms on the basis
		of a modified Dedekind theory of irrationals
1926	Smith	The derivation and solution of certain ordinary differential equations
1926	Foberg	The state course of study in mathematics
1927	Crawley	Descartes’ Geometry
1927	Owens	The Malfatti problem
1927	Dresden	On matrix equations
1927	Wilson	Space filling polyhedra
1927	Fort	Difference equations
1927	Morris	Positive integral solutions of an indeterminate equation
1928	Weida	Errors in computation
1928	Bennett	The geometry of the triangle
1928	Frink	An algebraic method of differentiating
1928	Miller	A mechanical theory of the solar corona
1928	Alexander	Knots
1929	Lamson	Wave mechanics
1929	Mitchell	Group characters
1929	Eisenhart	Dynamical trajectories and geodesics
1929	Ritt	Integration in finite terms
1930	Shohat	On orthogonal Tchebycheff polynomials
1930	Clawson	A polar reciprocation of the complete quadrilateral
1930	Sheffer	Some remarks on non-analytic functions
1930	Fort	Almost-periodic functions
1931	Rupp	Redundant co-ordinates
		see, hear, and talk
1931	Smail	On some fundamental conceptions in the theory of infinite processes
1931	Smith	Italy and geometry
1931	Knebelman	Different kinds of curvature
1931	Dresden	Swarthmore honors course in mathematics
1932	Raynor	Some boundary value problems in potential theory
1932	Kline	The independent arcs of a continuous curve

Table E.0.2. Invited Lectures, Table 2


Year	Speaker	Title
1932	Lehr	On curves with assigned singularities
1932	Frink	The problem of measure
1932	Mitchell	The life and work of Ramanujan
1933	Starke	Binomial congruences
1933	Brinkmann	The interpretation of imaginaries in projective geometry
1933	Wilder	Connectivity of spaces
1933	Kasner	Polygons and groups
1934	Shohat	On some applications of Taylor’s Formula
1934	Oakley	On successive approximations in differential equations
1934	Benner	Some geometry associated with \(\lim_{N\rightarrow\infty}\left(1+\frac1N\right)^N\)
1935	Moore	Mathematics and poetry
1935	Bailey	Collegiate curricula in mathematics in this section
1935	Witmer	Quantum mechanics
1935	Hedlund	A macroanalysis of some simple dynamical systems
1935	Rau	The teaching of mathematics in the Pennsylvania German schools
1935	Bochner	Almost-periodic functions
1936	Clarkson	Remarks on abstract spaces
1936	Cairns	Triangulations and related problems
1936	Wilks	Inverse probability and fiducial inference
1936	Murray	The undergraduate comprehensive exam
1937	Grant	Farey series
1937	Owens, F.	Some multiple perspective relationships
1937	Rademacher	On the Bernoulli numbers and the Von Staudt-Clausen theorem
1937	Wheeler, A.H.	Stellated polyhedra, illustrated with models
1938	Wheeler, A. P	Functions and sequences
1938	Tucker	Undergraduate courses in topology and other phases of geometry
1938	Carpenter	Meeting the challenge to secondary mathematics
1938	Yates	Linkages
1939	Lehmer	Mechanical aids in the theory of numbers
1939	Oakley	Equations of polygonal configurations
1939	Shohat	Orthogonal polynomials in relation to Lagrangian
		and Hermitian interpolation
1939	Johnson	Old mathematical books and instruments
		in the Schwenkfelder Library
1939	Owens, H.	Mathematics clubs, old and new
1940	Oxtoby	Transitive flows
1940	Vanderslice	Modern methods in differential geometry
1940	Rademacher	On Dedekind sums
1940	Wilks	Statistics involved in College Entrance Exams
1941	Bailey	The problem of the square pyramid
1941	Brinkmann	Cubic congruences
1941	Maker	Recent developments in the Cauchy theory of analytic functions
1941	Courant	Problems of stability and instability demonstrated by
		soap film experiments
1942	Schoenberg	On a theorem of Jensen
1942	Raynor	Exterior ballistics
1942	Geiringer	On modern methods in the numerical solution of linear problems
1942	Curry	The Heaviside operational calculus

Table E.0.3. Invited Lectures, Table 3


Year	Speaker	Title
1943	Wallace	Fixed point theorems
1943	Bennett	Some modern viewpoints on Euclidean geometry
1943	Oxtoby	Distance sets
1943	van de Kamp	Photographic astrometry
1943	Webber	Transcendentality of certain continued fractions
1943	Rosser	On the many-valued logics
1944	Lehr	Mapping problems in aerial photography
1944	Dennis	Spherical triangles on a slide rule
1944	Gottschalk	Continuous flows and AP functions
1944	Murnaghan	The uniform tension of an elastic cylinder
1945	Fox	Homotopy groups
1945	Lehmer	Some graphical methods in the theory of numbers
1945	Zygmund	Some unsolved problems in the theory of trigonometric series
1946	Botts	Convex sets
1946	Allendoerfer	Slope in solid analytic geometry
1946	Hewitt	Generalizations of the Weierstrass approximation theorem
1947	Fine	On Walsh functions
1947	Cowling	Convergence criteria for continued fractions
1947	Murnaghan	Vector methods in the teaching of trigonometry
		and analytic geometry
1947	Wilks	A few concepts in modern statistical inference
1948	Hailperin	Recent advances in symbolic logic
1948	Wasow	On a problem in the theory of differential equations
1948	Tucker	A geometric approach to the theory of games
1949	Hestenes	Some observations relative to mathematics in
		research and development organizations
1949	Goldstine	Some problems in numerical analysis
1949	Oxtoby	Minimal sets
1949	Schoenberg	On smoothing operations
1950	Wilansky	The essential roughness of mathematical objects
1950	Firestone	Systems of axiomatic set theory
1950	Epstein	The coefficients of Schlicht functions
1950	Hu	Topological properties of spaces of curves
1951	Yates	The stimulation of interest
1951	Artin	Constructions with ruler and divider
1951	Epstein	An infinite-product expansion for analytic functions
1951	Kiernan	Articulation of secondary and college mathematics
1952	Remage	Matrix inversion by partitioning
1952	Goldberg	Probability models in engineering and biology
1952	Fine	The Ramanujan identities
1952	Lewis	A. An in-service program in statistics;
		B. Some research opportunities in basic mathematics
1953	Kuhn	Linear equations and inequalities; solvability versus inconsistency
1953	Fox	Logical development of knot theory
1953	Tinbergen	Mathematical techniques used in economics theory
1953	Oakley	A new approach to freshman mathematics
1954	Snapper	Coordinates of algebraic varieties
1954	Besicovitch	Area and volume

Table E.0.4. Invited Lectures


Year	Speaker	Title
1954	Goldstine	Some remarks on numerical stability
1955	Brinkmann	A report on the Ford Foundation study on the integration
		of high school and college mathematics
1955	Rademacher	Dedekind sums and classes of modular substitutions
1955	Wisner	Flexagons
1955	Feller	On differential operators
1955	Kline	Pea soup, tripe and mathematics
1956	Scherk	Integers
1956	Moise	How to tell that a simple overhand knot is really knotted
1956	Wilansky	On the Cauchy criterion for the convergence of an infinite series
1956	Rabin	Impossibility of computational algorithms for
		group-theoretic problems
1957	Hunter, S.	Experimental statistics - some of the concepts and
		mathematical requirements
1957	Schoenberg	Mass distributions on the circle and convex conformal maps
1957	Tucker, A. W.	A report on the recommendations of the Commission on
		Mathematics at the College Board
1957	Rosen	Mathematics at a National Science Foundation summer institute
1959	Luce	Probabilistic models in psychology for the
		study of choice behavior
1959	Besicovitch	On some extremal problems in geometry
1959	Epstein	College mathematics for the prospective graduate student
1959	Haag	Work of SMSG
1959	Linton	Liaison problems in collegiate mathematics today
		- with the high school
1960	Gulden	Some basic concepts in algebraic topology
1960	Lefschetz	Some non-linear aspects of differential equations
1961	Rademacher	Gaussian polynomials and pentagonal numbers
1961	Grace	ALGOL 60
1961	Pollak	Recommendations of the panel on physical sciences and
		engineering, Committee on the Undergraduate Preparation
		in Mathematics
1962	Stengle	Some asymptotic problems in analysis
1962	Goldstein	On pseudo-gaussian sums and singular series
1962	Lisker	Musical practices in the light of modern algebra
1962	Manove	Quasinormal linear spaces
1962	Bartoo	Undergraduate mathematics:
		Problems posed by large enrollments
1962	Heilman	Progress report on teacher training in Pennsylvania
1963	Bing	Homogeneity
1963	Schoenberg	On spline interpolation
1963	Oakley	Curriculum from K to 14
1963	Brown	The search for delightful results
1963	Cunningham	Arzela’s theorem
1963	Fine	Integrability of continuous functions
1963	Lehr	A little mathematics of the multiplication table variety
1963	Schub	Some mathematical crumbs

Table E.0.5. Invited Lectures, Table 5


Year	Speaker	Title
1963	Wilansky	How using nets simplifies proofs
1964	Moise	How to tell that a simple overhand knot is really knotted
1964	Feller	The nature of differential operators
1964	Hunter, J.	The freshman and sophomore mathematics program
		in Great Britain
1965	Wilder	The role of the intuition
1965	Oberhettinger	Relations which are equivalent with functional
		equations involving the Riemann zeta functions
1965	Pollak	CUPM general curriculum for colleges
1966	Moore, J. C.	Some aspects of homological algebra
		- background and recent developments
1966	Hammer	Components of mathematical systems
1966	Gulden	A brief trip through the affine plane
1967	Wilf	Counting finite graphs
1967	Brooks	Equivalence of matrices and modules over Dedekind domains
1967	Pervin	Algebraic topology for undergraduates
1968	Curtis	Characters of finite groups
1968	Diaz	A comparison of two uniqueness theorems for the
		ordinary differential equation \(y^\prime=f(x,y)\)
1968	Richmond	SMSG - A second round
		of curriculum development
1969	Young	Topological methods in analysis
1969	Wolman	A problem of delay in communication systems
		- an application of topological methods
1969	Mordell	Reminiscences of an octogenarian mathematician
1970	Klee	Some unsolved problems from intuitive geometry
1970	Wilansky	What is an FK space?
1971	Artzy	Analytic geometry stripped of all but incidence
1971	Nirenberg	Solvability of linear partial differential equations
1971	Willcox	England was lost on the playing fields of Eton:
		A parable for mathematics
1971	Baxter	Mathematical models in the biological sciences
1972	Entringer	Open problems in combinatorial analysis and graph theory
1972	Curry	Basic concepts of formalization
1973	Rosen	Mathematics and the behavioral sciences
1973	Davis	Ghosts of departed quantities
1973	McAllister	The use of computers in undergraduate mathematics teaching
1973	Goldman	Some mathematical operations research in government
1974	England	Bernoulli processes after the isomorphism theorem
1974	Gluck	Are closed surfaces rigid?
1974	Cunningham	In search of a modern understanding of differentials
1975	Pollak	Relations between the application of mathematics
		and the teaching of mathematics
1975	Wilf	How to choose \(k\) out of \(n\)
1975	Eisenberg	Uniformly distributed sequences, stationary processes
		and the ergodic theorem

Table E.0.6. Invited Lectures, Table 6


Year	Speaker	Title
1976	Koch	The proof of the four color theorem
1976	Max	Catastrophe theory and its applications
1976	Cronin	Mathematical aspects of periodic catatonic schizophrenia
1976	Plotkin	The sound of mathematics
1977	Schattschneider	Tiling the plane with pentagons: A perplexing problem
1977	Shatz	Algebraic curves: Confluence of algebra, geometry and analysis
1977	Rohde	Some mathematical aspects in the design of
		automotive components
1977	Thurston	Symmetry
1978	Bernstein	The role of applications in pure mathematics
1978	Saaty	Priorities, hierarchies, and behavioral systems
1978	Rorres	The application of linear programming to the optimal
		harvesting of a renewable resource
1979	Greene	Problems and results in unimodal sequences
1979	Baxter	Rings with involution - An overview
1979	George	Mathematical precocity - Identifying and developing that potential
1980	Kac	Recollections and reflections on 50 years of probability theory
1980	Whitt	Approximation for networks of queues description of complex
		( systems adequate for engineering purposes)
1980	Porter	Future of the MAA
1980	Anderson	Algorithmically defined functions
1981	King	Probability and the approximation of continuous functions
1981	Halmos	Does mathematics have elements
1981	Appel	The proof of the four color theorem
1982	Wilf	Some bijective proofs in combinatorics
1982	Hilton	Descartes, Euler, and polyhedra
1982	Tucker, Alan	Mathematical sciences curricula
1983	Todd	Nonlinear equations and optimization:
		Quasi-Newton methods and abstract vector spaces
1983	Feit	The classification of the finite simple groups
1983	Wilansky	What matrices can do
1983	Ulam	Mathematical reminiscences and suggestions for the future
1984	Shatz	Mordell’s conjecture:
		Ideas and the confluence of arithmetic and geometry
1984	Steen	Renewing undergraduate mathematics
1984	Zagier	Solution of Diophantine equations and the class
		number problem of Gauss
1984	Coughlin	Remediation: A waste or a gold mine?
1985	Golub	Strange attractors and chaotic motion
1985	Koblitz	The mythification of Sofia Kovalevskaya
1985	Newman	Addition chains when multiplications are free
1985	Leighton	Networks, parallel computation and VLSI
1986	Kurtz	Computing in the classroom
1986	Giordano	A two-tier approach to teaching mathematical modeling
1986	Rickey	The invention of calculus: Who, what, when, where, and why?
1986	Sandefur	Discrete dynamical systems: An alternative to calculus
1987	Devaney	Computer graphics experiments in complex dynamical systems

Table E.0.7. Invited Lectures, Table 7


Year	Speaker	Title
1987	Halmos	Non-commutative analysis
1987	Jacobson	Parallel processing architectures
1987	Wolfson	Newton: The calculus, the Principia
1988	Bressoud	Factorization and primality testing
1988	Gottlieb	Topology and the robot arm
1988	Edwards	Kronecker’s views of the foundations of mathematics
1988	Siegel	Freshman mathematics for the modern age
1989	Weber	Problems from the theory of auctions
1989	Sward	Everybody Counts: From vision to reality
1989	Gluck	How can a drum change shape while sounding the same?
1990	Grace	Oil and uncertainty
1990	Lovasz	Algorithms using rubber bands
1990	Hoffman	Mathematics education reform: Our critical role
1990	Kennedy	Exotic topology in dynamical systems
1991	DeTurck	What problem are we trying to solve?
1991	Graham	Juggling drops and descents
1991	Banchoff	Computer graphics and surfaces in four-space:
		Visualizing characteristic classes
1991	Rossman	Bayesian statistics in the courtroom
1992	Kreider	Roots of recursion in mathematics and computer science
1992	Dunham	Constructing the regular heptadecagon:
		Ingenuity or just a lucky Gauss?
1992	Conway	Polyhedra and their symmetries
1993	Gallian	The mathematics of identification numbers
1993	Pomerance	Polya lecture: “Fermat’s little theorem”
1993	Brakke	Soap films and covering spaces
1993	Rudin	The rationals and the irrationals
1994	Steele	Ruin and riches from Bachelier to Black-Scholes
1994	Thornber	Inference beyond logic
1994	Stallings	Portfolio and student self-assessment in an
		undergraduate calculus class
1994	Fink	Bifurcation, catastrophe, singularity, and all that

Table E.0.8. Invited Lectures, Table 8


Year	Speaker	Title
1995	Smith	Spreadsheets in first-year mathematics
1995	Wilf	Finding and proving identities with your computer
1995	Kannan	Tractable algorithms for phylogeny reconstruction
1995	Ascher	Tracings in the sand: An introduction to ethnomathematics
1996	Kalman	Sums of powers by matrix methods
1996	Gray	Justice by lot: Olympic gold medals,
		Rwandan prisoners and employment discrimination
1996	Gordon	Using symmetry in teaching group theory
1996	Harbater	Symmetry in algebra and geometry
1997	Hunt	Fractal dimensions, a Peano-like curve and some measure theory
1997	King	Real, complex, and metaphysical ideas of Karl Weierstrass
1997	Simion	The many lives of set partitions
1997	Ross	Random walks on Z
1998	Dobric	A fundamental model in mathematical finance
1998	Graham	Juggling permutations of the integers
1998	Zeilberger	Synopses of two textbooks: Levi Ben Gerson’s
		Ma’asei Khoshev (ca. 1320) and Shalosh B. Ekhad’s
		Plane Geometry (ca. 2050)
1998	Tattersall	Mathematical vignettes from Cambridge University
1999	Dunham	Euler’s sums and Euler’s crumbs
1999	Benjamin	Recounting Fibonacci numbers and continued fractions
1999	Crawford	Teaching calculus:
		A personal, institutional, and historical perspective
2000	Andrews	An old algorithm in a new era:
		Major MacMahon, you were born too soon!
2000	Higgins	Demonic graphs and undergraduate research
2000	Maki	Using mathematics to help computers pretend that they can
		see, hear, and talk

EPADEL:A Semisesquicentennial History, 1926-2000

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Appendix E Invited Lectures