Recursos de colección
Caltech Authors (144.724 recursos)
Repository of works by Caltech published authors.
Type = Teaching Resource
Repository of works by Caltech published authors.
Type = Teaching Resource
Luxemburg, W. A. J.
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.
Luxemburg, W. A. J.
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.
Peretsman-Clement, Gail; Wrublewski, Donna
Today's researchers are challenged to master an ever-expanding and interlinked set of information and publishing skills in the rapidly evolving scholarly web. An emerging approach, called carpentry, teaches researchers at all career stages best practices and efficient tools for handling, sharing, publishing, and providing fair attribution for research outputs of all types: data, software, and papers. The ultimate aim of software, data and author carpentry is to support more open, transparent, and reusable research to advance and strengthen science in the digital era.
This workshop will introduce you to principles of carpentry, teach you a carpentry module on examining, cleaning,...
Clement, Gail P.
This lesson covers the basics of copyright, open licensing, and the public domain with particular focus on using Creative Commons licenses and waivers to share research outputs openly. Specific skills demonstrated include selecting and applying a CC license or waiver; evaluating the reuse conditions associated with a CC-licensed work; and attributing a work distributed with a CC license or waiver.
Hammersley, John
This lesson covers creating scientific papers in LaTeX and Reference Lists in BibTeX, using the online Overleaf platform. Specific skills demonstrated include linking to graphics created in R; citing references in bibliographic management tools such as Mendeley; and synchronizing an online writing project with GitHub.
Clement, Gail P.
This lesson covers the retrieval of citation metadata in BibTeX format from various sources (including the CrossRef API and Google Scholar); concatening citations into a BiBTeX publications list; and importing that BibTeX publications list into the ORCiD profile to auto-populate the works section.
Clement, Gail P.
This lesson covers the purpose, syntax, and maintenance of Digital Object Identifiers (DOIs) and the variety of publication available from the API services of the DOI Registration Agencies CrossRef and DataCite.
Anson, Fred C.
[no abstract]
Lagerstrom, P. A.
[no abstract]
Marble, F. E.
[no abstract]
Tsien, H. S.
[no abstract]
Luca, Oana R.
We include a summary of learning goals, objectives, activities, formative and summative assessments for a unit on chemical equilibrium for an integrated course in chemistry and physics.
Wayland, Harold
[no abstract]
Wagner, William G.; Gell-Mann, Murray
Lecture notes from Ph. 234 taught by Dr. Murray Gell-Mann; written by William G. Wagner
Thorne, K. S.; Rakhmanov, M.; Flanagan, Éanna É.; Drever, Ronald W. P.; Whitcomb, S. E.; Spero, Robert E.; Abramovici, A.; Savage , Rick L.; Kawamura, S.; Regehr, M. W.; Sievers, Lisa A.; Gillespie, Aaron; Kimble, H. J.; Camp, Jordan
In the spring term of 1994, I organized a course at Caltech on the The Physics of LIGO (i.e., the physics of the Laser Interferometer Gravitational Wave Observatory). The course consisted of eighteen 1.5-hour-long tutorial lectures, delivered by members of the LIGO team and others, and it was aimed at advanced undergraduates and graduate students in physics, applied physics and in engineering and applied sciences and also at interested postdoctoral fellows, research staff, and faculty.
Corngold, Noel
These pages contain material I have tried to convey, in a course given occasionally, to a Caltech audience composed mostly of graduate students. The idea behind the course was to introduce students to the ideas and attitudes that underlie the statistical modeling of physical, chemical, biological systems. To provide a sufficient minimum to begin the repair of total ignorance, to get one started, to avoid embarrassing moments at an oral qualifying examination, perhaps. This little book might be titled "An Introduction to an Introduction to . . ." The student who wishes to go deeper will find much that is...
Marsden, Jerrold E.
Course Description:
CDS 202 is the foundation course for work in geometric mechanics and geometric control theory. In addition, students wanting to work in applied fields like fluid mechanics, elasticity, computational mechanics, computational geometry, and variational integrators will find this course useful.
Topics:
Basic differential geometry, oriented toward applications in control and dynamical systems. Topics include smooth manifolds and mappings, tangent and normal bundles. Vector fields and flows. Distributions and Frobenius' theorem. Matrix Lie groups and Lie algebras. Exterior differential forms, Stokes theorem.
Course Catalog:
9 units (3-0-6); second term. Prerequisite: CDS 201 or AM 125a
Basic differential geometry, oriented toward applications in control and dynamical...