Lectures
Presented By V. Frederick Rickey
March 2004
Lectures given in 1968.
1 "An axiomatic theory of
syntax,"
Lectures given in 1969.
2 "Axiomatic
inscriptional syntax," Association for Symbolic Logic meeting,
3 "Mereological
foundations of geometry," Notre Dame Logic Seminar,
4 "Atomic
mereology," Notre Dame Logic Seminar,
Lectures given in 1970.
5 "The unexpected
examination and other logical paradoxes,"
6 "On epsilon-delta
techniques," Mathematical Association of America (MAA) Ohio Section
meeting,
7 "On cutting
pi,"
Lectures given in 1971.
8 "A history of
mathematical proof," Kappa Mu Epsilon (KME)
honorary, BGSU,
9 "Creative
definitions in propositional calculi," Association for Symbolic Logic
meeting,
10 "Creative definitions in propositional calculi," Notre Dame Logic Seminar, February 8 and 15, 1971.
11 "Tessellations,"
12 "A chronology of
pi," and "Art and tessellations,"
13 "Creative
definitions in propositional calculi," BGSU colloquium,
Lectures given in 1972.
14 "Three views of definitions," Notre Dame Logic Seminar, October 11 and 18, 1972.
15 "The unexpected
examination and other logical paradoxes," Purdue, North Central Campus,
16 "An exposition of
Hilbert's 10th problem," BGSU colloquium,
Lectures given in 1973.
17 "What I wish my students had learned
about graphing in high school," Northwest Ohio Mathematics Group (NOMG) meeting
at BGSU,
18 "A survey of Lesniewski's logic
(ontology and mereology)," Michigan-Ohio Logic Seminar (MOLS),
19 "Qualitative
graphing techniques," MAA Ohio Section meeting,
Lectures given in 1974.
20 "Lesniewski's
protothetic," MOLS,
21 "Solovay's model where every set of reals is Lebesgue
measurable," MOLS,
Lectures given in 1975.
22 "An application of
geography to matheamtics (The history of the integral
of secant)," MAA Ohio Section meeting, BGSU,
23 "Careers in mathematics," an
after-dinner lecture to Mu Alpha Theta students and
parents,
Lectures given in 1976.
24 "The
25 "The history of
mathematics in the
26 "Contradictions
and paradoxes in mathematics and philosophy," BGSU Philosophy Department
Brown Bag Lecture Series,
27 "A survey of Lesniewski's logic,"
opening invited address, The Lesniewski Conference,
28 "Model theory for
Lesniewski's logic," The Lesniewski Conference, closing address,
29 "The joy of
sets,"
Lectures given in 1977.
30 "Theorems with
long proofs,"
31 "Theorems with
long proofs," BGSU Mathematics colloquium,
32 "A problem of logic (P=NP)," to
Shirley Oney's high school students (at BGSU),
33 "Art, tessellations, and number theory," recruiting graduate students at Rose-Hulman University, Terre Haute, IN, May 5, 1977.
34 "What's new in elementary calculus
(Integration in finite terms)," NOMG,
35 "Qualitative
graphing techniques," IUSB Mathematics Seminar,
36 "Infinitesimal calculus," IUSB Mathematics Seminar, a series of 16 lectures, Fall 1977.
37 "Panel discussion: Perspectives on the
job market for mathematicians," MAA Indiana Section meeting,
38 "Is mathematics
relevant?" Purdue, North Central Campus,
Lectures given in 1978.
39 "Is mathematics
relevant?"
40 "Long proofs in propositional calculi and the P = NP problem," Notre Dame Logic Seminar, February 15, 22, March 1 and 15, 1978.
41 "Infinitesimals in the nineteenth century," short presentation at the Chautauqua course on the History of Science Since Newton, Pennsylvania State University, March 7, 1978.
42 "Vaught's conjecture for trees," Notre Dame Model Theory Seminar, February 27, April 3, 10, 17, 1978.
43 "The old and the new infinity,"
three lectures at
44 "Cardinal arithmetic and the new
code," three lectures at
45 "A revolution in
cryptography," NOMG at BGSU,
Lectures given in 1979.
46 "The place of
geometry in the curriculum," panel discussion (with Kenneth Cummins,
47 "History of mathematics as a
pedagogical tool," MAA
48 "A revolution in cryptography,"
MAA Ohio Section short course on the Theory of Computing,
49 "An unbreakable
code,"
50 "Geography and
mathematics. An application of the integral calculus,"
State University College of New York at
51 "Is mathematics
relevant?"
52 "An unbreakable
code," Clarion State College, Clarion, PA.,
Lectures given in 1980.
53 "Public key cryptography and the P =
NP problem," MOOLS,
54 "The P = NP problem and proof
length," MOOLS,
55 Discussion leader after each of Harry
Pollard's eight lectures at the MAA Ohio Section short course on History of
Mathematics. Also ran discussion/presentations on "Teaching history of
mathematics," and "Using history in teaching mathematics,"
56 "The rise of metalogic," invited talk for the Special Session on History and Philosophy of Mathematics, American Mathematical Society (AMS) meeting, Providence, RI, October 18, 1980.
Lectures given in 1981.
57 "Mathematics at the
58 "An unbreakable
code,"
59 "Is mathematics
relevant?"
60 "An unbreakable
code,"
61 "Historical notes
for the calculus classroom," Indiana Regional Mathematics Consortium,
Lectures given in 1982.
62 "Historical notes on the calculus," invited hour address at the annual meeting of the Mathematical Association of America (MAA), Cincinnati, OH, January 16, 1982.
63 "Using history in
the mathematics classroom," annual meeting of the Ohio Council of Teachers
of Mathematics (OCTM),
64 "History of the
integral of the secant," Saint Mary's College, Notre Dame,
65 "Cauchy, uniform convergence, and nonstandard analysis," Conference on the History of Mathematics with Emphasis on the Development of the Calculus, Ball State University, Muncie, IN, April 23, 1982.
66 "Public key
cryptography," Pi Mu Epsilon initiation banquet,
67 "Cauchy, uniform
convergence, and nonstandard analysis," MOOLS,
68 "The second cycle
of the Gregorian calendar," Physics and Astronomy Seminar, BGSU,
Lectures given in 1983.
69 "Is mathematics relevant? A proof by numerous examples," "Featured speaker" at the OhioMATYC spring meeting, Terra Technical College, Freemont, OH, April 9, 1983.
70 One of four organizers of the "ISGHPM
(International Study Group on History and Pedagogy of Mathematics) workshop in
the preparation of historical materials for classroom use,"
71 "The preparation
and classroom use of historical materials," National Council of Teachers
of Mathematics (NCTM) annual meeting,
72 "Curves of the calculus: History and
applications," invited speaker at the MAA Allegheny Mountain Section
Annual Spring meeting, Indiana University of Pennsylvania, Indiana, PA,
73 "Real and infinitesimal number
lines," History of Mathemtics meeting,
Smithsonian Institution,
Lectures given in 1984.
74 "The invention of the calculus. Who. What. When. Where. Why," James Madison University, Harrisonburg, VA, MAA Visiting Lecturer Program, March 22, 1984.
75 "Improving
mathematics teaching," Valley of Virginia Teachers of Mathematics,
76 "The history of
the integral of the secant,"
77 "Curves of the
Calculus," invited lecturer, MAA Ohio Section meeting at BGSU,
78 "Curves of the
Calculus," HPM meeting at
79 Participant in panel discussion for HPM, at
annual NCTM meeting,
80 "Models of
Lesniewski's logic," at Lesniewski meeting in
81 "Creative definitions," lecture
by request of the audience (after I arrived) at the Lesniewski meeting,
82 "Curves of the calculus," colloquium lecture to Mathematics Department,
83 "Hilbert's
logic," four hour lecture/discussion at the History of Mathematics
meeting, Smithsonian Institution,
84 "Origin of the
conic sections,"
85 "Rare Mathematics Books," talk to
the Friends of the Library,
Lectures given in 1985.
86 "Great mathematicians,"
discussion with two eighth grade classes,
87 "From curves to calculus,"
colloquium,
88 "My career as a mathematician,"
sixth grade class,
89 "From curves to
calculus," colloquium, Westfield State College,
90 "History of mathematics," an inservice program (2.5 hours) to the teachers of the Chittenden South Supervisory School District, Williston, VT, March 4, 1985.
91 "Guidelines and ideas for classroom
notes on the history of mathematics," paper read (in my absence) at the
HPM meeting,
92 "Angle trisection" and
"Origin of the conics," lectures at
93 "Isaac Newton—Mathematician," Greater Burlington Mathematics League after dinner talk, Essex Junction, VT, April 18, 1985.
94 "4000 years of solving equations," at banquet honoring the State and Regional winners of the 28th Annual High School Prize Exam in Mathematics, Burlington, VT, May 2, 1985.
95 "W. E. Story of Hopkins and
Clark," Canadian Society for History and Philosophy of Mathematics
(CSHPM),
96 "Mathematics at
97 "Gauss on least
squares," BGSU colloquium,
98 "Gauss on least
squares," colloquium,
99 "Hilbert's work on the foundations of mathematics," 2.5 hour presentation at the History of Mathematics meeting, Smithsonian Institution, Washington, D.C., October 18, 1985.
100 "A potpourri of
ideas for using history in the classroom," annual meeting of the Indiana
Council of Teachers of Mathematics,
101 "Some applications
from the history of mathematics," Math Day, BGSU,
102 "Yesterday's mathematics for tomorrow's students:
Historical examples for your classroom," NCTM meeting,
Lectures given in 1986.
103 "A brief history of HPM,"
introductory remarks while chairing a meeting of the "International Study
Group on the Relations Between History and Pedagogy of
Mathematics" at the annual MAA meeting,
104 "A brief history of the hyperboloid of
one sheet," KME banquet at BGSU,
105 "Historical notes
on the calculus," MAA Ohio Section meeting,
106 Seven lectures presented as the MAA Ohio
Section Short Course on the "History of the Calculus,"
1. The Invention of the Calculus
2.
3. The Bernoulli's Disseminate the Calculus
4. Euler
5. Lagrange
6. Cauchy and Rigor
7. Weierstrass and Beyond
107 "Codes and cyphers," lecture presented to the Science Club at Georgetown Preparatory School, Washington, D.C., the oldest Catholic boys school in the country, October 15, 1986.
108 "Euler's Introductio in analysin infinitorum," 2.5 hour presentation extending over two days at the History of Mathematics meeting, Smithsonian Institution, Washington, D.C., October 17-18, 1986.
109 "Classroom examples
of how to use the history of mathematics to motivate students," NCTM
Regional Conference,
110 "The invention of the calculus: Who,
What, When, Where and Why?", Colloquium,
111 "The relevance of mathematics," invited address, Western Kentucky University, Bowling Green, KY, November 7, 1986.
112 "Using the history
of mathematics in the classroom," invited address,
113 "The invention of the calculus: Who, What, When, Where and Why?" invited hour address to the MAA Eastern Pennsylvania and Delaware Section, Drexel University, Philadelphia, PA, November 23, 1986.
113a "Why I'm studying
Latin," to Prof. Povsic's First Year Latin class
at BGSU,
Lectures given in 1987.
114 "Historical notes
for the calculus classroom," Special Session on the History of
Mathematics, MAA annual meeting,
115 "The relevance of
mathematics," University of Wisconsin/Oshkosh, Sigma Xi Lecture Series,
116 "Isaac Newton: The man and his
work," University of Wisconsin/Green Bay,
117 "The 300th
Anniversary of Newton's Principia,"
annual meeting of the Ohio Council of Teachers of Mathematics (OCTM),
118 "Historical notes (with
handouts) for use in your classroom," 65th annual meeting of the NCTM,
119 "Isaac Newton: Man, myth, and
mathematics," Principia Symposium,
120 A lecture series entitled "On Ye Sholders of Giants,"
1. Rene Descartes: Scientist and Mathematician
2. Isaac Newton: The Man and His Work
3. The Invention of the Calculus: Who, What, When, Where, Why
121 "Mathematical modules," presented at
a national conference on Character Development in the Schools, BGSU,
122 "In praise of genius: Isaac Newton," half hour talk at the State House in Indianapolis to the winners of the second annual State High School Mathematics Contest sponsored by the Indiana Council of Teachers of Mathematics, June 11, 1987.
123 "Euler's work on
the differential calculus," two hour lecture and discussion at the History
of Mathematics meeting, Smithsonian Institution,
124 "A clever idea of
Euler's for max-min problems," MAA Ohio Section meeting,
125 "Math in action—A
modern success story," Math Day 1987 at BGSU,
126 "In praise of genius: Isaac Newton,"
The Pennsylvania State University, The Behrend
College,
Lectures given in 1988.
127 "Was Newton a mathematician or a physicist?" joint colloquium to the Department of Physics and Astronomy, and the Department of Mathematics and Statistics, BGSU, January 29, 1988.
128 "Lôpital and the First Calculus Book," banquet speaker, fifty-first initiation of Kappa Mu Epsilon mathematics honorary, March 10, 1988.
129 "In praise of genius: Isaac Newton as a
role model," to the participants in the Warner T. Boyer Mathematics Exam,
130 "History of the calculus," ten
lectures and six discussion sessions presented as a short course for the MAA
Eastern Pennsylvania and Delaware Section,
1. Four Millenia of Algebra and Trigonometry
2. From Curves to Calculus
3. Early Seventeenth Century Ideas on the Calculus
4. The Invention of the Calculus
5. The Calculus of
6. The Bernoulli's Disseminate the Calculus
7. Euler Develops the Calculus
8. Cauchy and Weierstrass Provide Foundations
9. From Calculus to Set Theory
10. Robinson and Non-Standard Analysis
131 "How to trisect angles, and why you can't," presented at The Ohio State University at a National Institute for the Humanities sponsored seminar on "Great Theorems of Mathematics" conducted by William Dunham, July 12, 1988.
132 "Using history in teaching calculus," invited speaker at a meeting of the International Study Group for the History and Pedagogy of Mathematics Group (HPM), Florence, Italy, July 20-22, 1988. Since I am chair of the Americas Section of HPM, I also presented the final summary at this meeting.
133 "Motivating
calculus by incorporating history," short presentation at the Sixth
International Congress of Mathematics Education,
134 "Euler's calculus books," invited talk at a History of Mathematics Workshop, Gimlekollen Mediasenter, Kristiansand, Norway, August 7-13, 1988.
135 "My favorite ways of using history in
teaching calculus," invited talk at a History of Mathematics Workshop, Gimlekollen Mediasenter,
136 "The work of
L'Hospital," colloquium,
137 "The use of
historical materials in teaching calculus," after dinner talk to the
faculty,
138 "Euler's books on the integral calculus," two hour lecture/discussion at the thirteenth annual Symposium on the History of Mathematics, Smithsonian Institution, Washington, D.C., October 14-15, 1988.
139 "Careers in
teaching mathematics," Math Day at BGSU,
140 "Incorporating the history of the
calculus into the calculus classroom," three hour minicourse at the MAA
141 "Historical ideas
to use in your classroom," colloquium,
Lectures given in 1989.
142 "Using history in teaching
calculus," four hour minicourse presented at the annual meeting of the
MAA,
143. "Isaac Newton, genius,"
144. "The Tarski-Banach
paradox," colloquium, BGSU,
145. "History and applications of the conic
sections," annual meeting of History and Pedagogy of Mathematics,
146. "History and pedagogy of mathematics
(HPM) at ICME-6: Historical ideas for your classroom," annual meeting of
the NCTM,
147. "History and Application of the Conic
Sections," 39th Annual meeting of the Ohio Council of Teachers of
Mathematics,
148. "Calculus: History, Teaching, and
Technology," six lectures on the history of the calculus, Saint Mary's
College, Notre Dame, IN,
149. Visiting Professor's Seminar presented at the
a) The invention of the calculus: The five Ws, 22 Ausust 1989.
b) Cauchy and limits,
c)
d) Tangents and derivatives,
e) Judy Grabiner's paper on the derivative,
f) Euler and the trigonometric functions,
g) Some early differential equations,
h) More on differential equations, especially Euler,
i) What I did in D.C. last week,
j) The integral and the fundamental theorem of calculus,
k) More ideas on integration,
l) Riemann and his integral,
m) Fermat's integration and slope,
n) Stevin and his damn dam,
150. "Treasures of the Point," fourteenth annual meeting in the History of Mathematics, The National Museum of American History, Smithsonian Institution, Washington, D.C., October 13, 1989.
151. "Euler on differential equations,"
ibid,
152. "Math on the Mall", a tour of
153. "Rare books at USMA," a ten minute information session at Family Day for the Department of Mathematical Sciences, West Point, November 7, 1989.
154. "The Invention of the Calculus: Who,
What, When, Where, Why?", colloquium,
Lectures given in 1990.
155. "Using history in teaching calulus," four hour minicourse presented at the annual
meeting of the MAA,
156. Visiting Professor's Seminar presented at the United States Military Academy (USMA), spring 1990. Continuation of #149. The titles of the individual talks were as follows:
a) Remarks about integration techniques,
b) Mathematics at
c) Origins and applications of the conics,
d) Polar coordinates,
e) Women in mathematics,
f) Completeness of the reals,
g) L'Hospital and his rule,
h) Improper integrals and infinite series,
i) More on infinite series,
j) The brachistochrone problem,
157. "The history of improper integrals"
and "The history of infinite series," two lectures given to a senior
level analysis class, USMA, February 13, and
158. "The invention of the calculus,"
colloquium, Pace University,
159. "Calculus at
160. "The invention of the calculus — Who,
What, When, Where, and Why," colloquium,
161. "Why do we use m for slope?" invited
lecturer at the third annual LIMACON meeting (
162. "The history of the calculus in the
mathematics classroom," three hour minicourse, Intermountain Section of
the MAA,
163. "m is for
slope," Annual meeting of HPM,
164. "Tested ideas for using history in the calculus
classroom," National Council of Teachers of Mathematics, annual meeting,
165. "History of calculus," AP (Advanced Placement) Institute for Experienced Teachers, conducted by the College Board, White Haven, PA, April 26, 1990. Tom Tucker was the other invited speaker.
166. "The invention of the calculus,"
Edwin Brown Allen Memorial Lecture at Rensselaer Polytechnique Institute,
167. "The invention of the calculus: Who,
What, When, Where, and Why,"
168. "The invention of the calculus,"
colloquium,
169. "Old calculus problems make for a lively
course," Canadian Society for the History and Philosophy of Mathemaics, annual meeting,
170. "Trisection," at a National
Institute for the Humanities sponsored seminar on "Great Theorems of
Mathematics In Historical Context,"
171. "Using history in teaching
calculus," ninety minute presentaion at the
Faculty Development Workshop, USMA,
172. "Using history in teaching calulus," four hour minicourse presented at the 75th
anniversary celebration of the MAA,
173. "The scientific revolution," Great
Ideas Faculty Workshop,
174. "A big-math attack," invited banquet
speaker for the annual meeting of the Illinois Council of Teaches of Mathemtics,
175. "Algebra led Tarski to truth,"
Conference on the History of Interactions between Algebra and Logic, LHM
Institute,
176. "Great ideas of mathematics," Math
Day, BGSU,
Lectures given in 1991.
177. "Euler's contributions to the calculus," invited talk for a special session on the History of Mathematics at the annual AMS meeting, San Francisco, CA, January 16, 1991. Abstract published in the Notices of the AMS, #863-01-661.
178. "Zeros of higher degree polynomial
functions: Cardano and his bizarre friends," Metropolitan Mathematics
Club,
179. "The long road to infinite series,"
KME Banquet,
180. "Using ideas from the history of algebra
to motivate students," regional meeting of the NCTM,
181. "Fibonacci and his sequence,"
Colloquium at USMA,
182. "The history of the Ohio Section," Spring meeting of the
Ohio Section of the MAA, at
183. "A selectin of
historical ideas for your algebra classroom," annual meeting of HPM,
184. "Using history in teaching
calculus," minicourse presented to the Northeastern Section of the MAA,
185. "The First Calculus