#uclaextension — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #uclaextension, aggregated by home.social.
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Fundamentals Of Hypercomplex Numbers | UCLA Extension
Dr. Michael Miller, a retired researcher at RAND, has been teaching upper level undergraduate/graduate level math courses for fun at UCLA Extension for over 50 years. This winter, he'll be introducing hypercomplex numbers to those interested in abstract math: Fundamentals Of Hypercomplex Numbers. His courses are thorough and rigorous, but geared toward lifelong learners and beginners in abstract mathematics to allow people better entry points into higher level mathematics. His classes are […]https://boffosocko.com/2025/12/03/fundamentals-of-hypercomplex-numbers-ucla-extension/
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Dr. Miller has tipped me off that the suggested text for his upcoming will be:
Berberian, Sterling Khazag. Introduction To Hilbert Space. Oxford University Press, 1961. Reprint Literary Licensing, 2012.
He’s not happy that it ignores measure theory as a means to introduce the Lebesque integral, so he’ll be supplementing that with additional notes. I’ve ordered a used copy of the 1st edition, but there are also versions from AMS as well as a more recent reprint from 2012.
He also suggested that Debnath & Mikusinski was pretty good, albeit more expensive than he would like in addition to not being a fan some of their approaches to topics.
Debnath, Lokenath, and Piotr Mikusinski. Introduction to Hilbert Spaces with Applications. 3rd ed., Academic Press, 2005.
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Introduction to Hilbert Spaces: An Adventure In Infinite Dimensions
Looking for some serious entertainment with an intellectual bent on Tuesday nights this fall? Professor Michael Miller has got you covered in multiple dimensions. Dr. Miller has now listed his mathematics offering for Fall 2025 at UCLA Extension. It's Introduction to Hilbert Spaces: An Adventure In Infinite Dimensions (MATH 900). As always, it will be presented in lectures on Tuesday nights from 7:00 PM to 10:00 PM with a short break in the middle. The class runs from September 23 - […] -
Bookmarked Fundamentals of Point-Set Topology by (UCLA Extension)
Mike Miller’s fall math class at UCLA has been posted. I’m registering and hope to see you there!Point-set topology is the branch of mathematics that deals with collections of points endowed with sufficient structure to make meaningful the notions of closeness, separation, and convergence. Beginning with familiar notions concerning open sets, closed sets, and convergence on the real number line and Euclidean plane, this course systematically develops the theory of arbitrary topological spaces. Topics include bases and subbases, separation axioms (Hausdorff, regular, and normal spaces), countability (first- and second-countable spaces), compactness and compactification, connectedness, and convergence (nets and filters). Instruction emphasizes examples and problem solving. The course appeals to those seeking a better understanding of the algebraic and geometric underpinnings of common mathematical constructs.
September 24 - December 3 on Tuesday 7:00PM - 10:00PM PT
Fee: $453.00
Location: UCLA, Math Sciences Building, Room 5127As usual, there’s no recommended textbook (yet), and he generally provides his own excellent notes over a required textbook. I’d suspect that he’ll recommend an inexpensive Dover Publication text like those of Kahn, Baum, or Gamelin & Greene.
If you’re curious about what’s out there, I’ve already compiled a bibliography of the usual suspects in the space:
- Armstrong, M. A. Basic Topology. Undergraduate Texts in Mathematics, 3.0. Springer, 1983.
- Conover, Robert A. A First Course in Topology: An Introduction to Mathematical Thinking. Reprint. Dover Books on Mathematics. Mineola, N.Y: Dover Publications, Inc., 2014.
- Conway, John B. A Course in Point Set Topology. Undergraduate Texts in Mathematics. Springer, 2015.
- Crossley, Martin D. Essential Topology. Corrected printing. Springer Undergraduate Mathematics Series. 2005. Reprint, Springer, 2010.
- Gaal, Steven A. Point Set Topology. 1st ed. Pure & Applied Mathematics 16. Academic Press, 1964.
- Gamelin, Theodore W., and Robert Everist Greene. Introduction to Topology. 2nd ed. Dover Books on Mathematics. 1983. Reprint, Mineola, N.Y: Dover Publications, Inc., 1999.
- Kahn, Donald W. Topology: An Introduction to the Point-Set and Algebraic Areas. Dover Books on Mathematics. Mineola, N.Y: Dover Publications, Inc., 1995.
- Kasriel, Robert H. Undergraduate Topology. Dover Books on Mathematics. Mineola, N.Y: Dover Publications, Inc., 2009.
- López, Rafael. Point-Set Topology: A Working Textbook. 1st ed. Springer Undergraduate Mathematics Series. Springer, 2024.
- Mendelson, Bert. Introduction to Topology. 3rd ed. Dover Books on Mathematics. Dover Publications, Inc., 1990.
- Morris, Sidney A. Topology Without Tears, 2024. [.pdf]
- Munkres, James R., 1930-. Topology. 2nd ed. 1975. Reprint, Prentice-Hall, Inc., 1999.
- Shick, Paul L. Topology: Point-Set and Geometric. 1st ed. Wiley-Interscience, 2007.
- Sierpinski, Waclaw. General Topology. Translated by C. Cecilia Krieger. Repring. Dover Books on Mathematics. Mineola, N.Y: Dover Publications, Inc., 2020.
- Viru, O. Ya., O.A. Ivanov, N. Yu. Netsvetaev, and V.M. Kharlamov. Elementary Topology: Problem Textbook. American Mathematical Society, 2008.
- Waldmann, Stefan. Topology: An Introduction. Springer, 2014.
- Willard, Stephen. General Topology. Dover Books on Mathematics. Mineola, N.Y: Dover Publications, Inc., 2004.
AI generated featured photo courtesy of Glif Alpha
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The #Blender3D for #WebXR #Wordlbuilding course I teach at #UCLAExtension returns for Winter quarter January 12th!
Join me for this 11-week course for beginners, modelers wanting to optimize for #Web3D, level / environment design & #accessibility considerations, node-based workflows, 360 output, & state of the art in terms of #procgen & #generative possibilities!
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Check out the new official #ImmersiveMedia program at #uclaextension!
That's right - it's now an official certificate program!
https://www.uclaextension.edu/immersive-media-program
#vr #ar #xr #virtualreality #metaverse #spatialweb #webxr #blender3d
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Out at #UCLAextension in Westwood for a private @fivarstories showcase! Beautiful day sharing the experiences and meeting creators and students! #vr #xr #immersivemedia #FIVARS
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I'm a community organizer, event maker, media producer, #festival director, #TeamBuilder & I made a #CDROM #VideoGame/#music hybrid album in 1995 w Lee Towndrow. I was once chainsawed in 1/2 by #Leatherface & as a #vampire & Sherrif of Area 5 beheaded by Pam.
I write a lot. Make a lot.Teach #Blender for #WebXR at #UCLAExtension & run #immersive media ( @vrto / @fivars ) #conferences.
I have an unhealthy #soloboardgame obsession, ❤️ #IndieGames & own too many #VinylRecords. I ❤️ #RawOysters