Teaching Resource records
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A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenThu, 30 Nov 2023 18:13:22 +0000Notes on the Theory of Integration : Ma 108
https://resolver.caltech.edu/CaltechAUTHORS:20170327-135159965
Authors: Luxemburg, W. A. J.
Year: 2017
Course description from Caltech Catalog (1960/61):
Ma 108 abc. Advanced Calculus. 12 units (4-0-8); three terms. Prerequisite: Ma 2. In this course, a sequel to Ma 2, more advanced techniques and applications of calculus are treated. Point set topology is the point of departure for the theory of convergence,
and applications are made to implicit functions, partial differentiation, infinite series and infinite products of real and complex numbers. Other topics treated include: uniform convergence of sequences of functions; functions defined by integrals; Fourier series and integrals; analytic functions of a complex variable.https://authors.library.caltech.edu/records/k4m2c-khm74Non-Standard Analysis: Lectures on A. Robinson's Theory of Infinitesimals and Infinitely Large Numbers
https://resolver.caltech.edu/CaltechAUTHORS:20170327-135729832
Authors: Luxemburg, W. A. J.
Year: 2017
The present lecture notes have grown from a series of three lectures which were given by the author at the California Institute of Technology in December 1961. The purpose of these lectures was to give a discussion of A. Robinson's theory of infinitesimals and infinitely large numbers which had just appeared in print under the title "Non-Standard Analysis".
The title "Non-Standard Analysis" refers to the fact that this theory is an interpretation of analysis in a non-standard model of the arithmetic of the real numbers.https://authors.library.caltech.edu/records/pp04a-k3d74