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Title: Can You Hear the Shape of a Drum? (Complete Version) [Reel 1 of 2; Composite], Can You Hear the Shape of a Drum? (Complete Version) [Reel 1 of 2; Composite]
Identifier: e_math_01271
Contributor: Kac, Mark
Dates: 1966
Resource: Mathematical Association of America records
Description: Mark Kac lectures on the degree to which the shape of a vibrating membrane is determined by its eigenvalues, or normal modes of vibration. This version includes the Weiner integral, and more. Knowledge of the phenomena of Brownian motion and diffusion will be helpful to the viewer.

Title: Can You Hear the Shape of a Drum? (Complete Version) [Reel 2 of 2; Composite], Can You Hear the Shape of a Drum? (Complete Version) [Reel 2 of 2; Composite]
Identifier: e_math_01272
Contributor: Kac, Mark
Dates: 1966
Resource: Mathematical Association of America records
Description: Mark Kac lectures on the degree to which the shape of a vibrating membrane is determined by its eigenvalues, or normal modes of vibration. This version includes the Wiener integral, and more. Knowledge of the phenomena of Brownian motion and diffusion will be helpful to the viewer.

Title: Fixed Points [Reel 1 of 2; Composite], Fixed Points [Reel 1 of 2; Composite]
Identifier: e_math_01266
Contributor: Lefschetz, Solomon, 1884-1972
Dates: 1966
Resource: Mathematical Association of America records
Description: Professor Solomon Lefschetz describes how his “magic number” applies to determine whether a surface has the fixed-point property.

Title: Fixed Points [Reel 2 of 2; Composite], Fixed Points [Reel 2 of 2; Composite]
Identifier: e_math_01267
Contributor: Lefschetz, Solomon, 1884-1972
Dates: 1966
Resource: Mathematical Association of America records
Description: Professor Solomon Lefschetz describes how his “magic number” applies to determine whether a surface has the fixed-point property.

Title: Göttingen and New York: Reflections of a Life in Mathematics, Göttingen and New York: Reflections of a Life in Mathematics
Identifier: e_math_01218
Contributor: Courant, Richard, 1888-1972
Dates: 1966
Resource: Mathematical Association of America records
Description: A survey of the career of Richard Courant. His colleagues describe his influence and work, and Courant lectures on soap bubbles and minimal surfaces. A large part of the film consists of reminiscences of the formation of the Institutes at Göttingen and New York University.

Title: Pits, Peaks, and Passes: A Lecture on Critical Point Theory (Part I) [Composite], Pits, Peaks, and Passes: A Lecture on Critical Point Theory (Part I) [Composite]
Identifier: e_math_01268
Contributor: Morse, Marston, 1892-1977
Dates: 1966
Resource: Mathematical Association of America records
Description: Professor Marston Morse uses models and animations to derive the simple formula relating the number of pits, peaks, and passes on an island with a single coastline.

Title: Pits, Peaks, and Passes: A Lecture on Critical Point Theory (Part II) [Composite], Pits, Peaks, and Passes: A Lecture on Critical Point Theory (Part II) [Composite]
Identifier: e_math_01269
Contributor: Morse, Marston, 1892-1977
Dates: 1966
Resource: Mathematical Association of America records
Description: In Part II, in Professor Morse analyzes the critical points of continuous functions over compact, orientable 3-manifolds. The degree of stability in n-dimensions is defined and applications to electrodynamics are presented, as well as an approach to the Poincaré conjecture.

Title: Predicting at Random [Composite], Predicting at Random [Composite]
Identifier: e_math_01270
Contributor: Blackwell, David, 1919-2010
Dates: 1966
Resource: Mathematical Association of America records
Description: A source sequentially generates 0’s or 1’s, and one must predict against it, with knowledge of success or failure after each prediction. What is the optimal strategy here? The distinguished probabilist and statistician David Blackwell solves this problem and then sketches its application.