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Wells, Benjamin
University of San Francisco
San Francisco, California
 
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For nearly three decades, Benjamin Wells taught mathematics and computer science courses as a member of both departments at the University of San Francisco. He regularly offered freshman seminars that combined science and art. He holds degrees from MIT and UC Berkeley and has worked and studied in several other countries. He won a John Templeton Foundation science and religion course prize for “Infinity, Chaos, and Mysticism in Science and Religion” in 1998 and held the USF Davies Professorship in 1989, teaching a seminar “Approaching Infinity: Mathematics and the Mystic Quest.”

He cofounded the USF Math & Art Fusion Project and serves as its director. It seeks to use the permanent collection of San Francisco’s De Young Museum to teach middle-school mathematics.

Wells has periodically shared mathematical art at Bridges conferences and other exhibitions. His contributions to math and art include explorations of the Klein 4-group and Galois theory in puppet shows, analysis and generation of tongue twisters, a study of 1, and demonstrations of the dualizing Hoberman plastic toys. In the photograph, he holds the Hoberman Switch-Pitch ball, a self-dualizing tetrahedral structure that is the mascot of the Fusion Project.

A fan of fractals, he has studied the fractal arrangement of mineral spherites in a Mono Lake brine fly larval instar and has performed his “Fractal Rap” to OPP at numerous gatherings.

As the last student of noted logician Alfred Tarski, Wells works on the boundary of logic, algebra, and computing. Several papers explore pseudorecursive semigroup varieties. This has led to five contributions to hypercomputation.

He has also published in computer graphics, visual communication (with 22 patents), and classic computers. In particular, he has investigated the universality of the Colossus machines built for Bletchley Park. His collaborative research includes the action of finite state machines on infinite sequences; expert tutoring systems; peer teaching in secondary school; and math education films and videos. He has studied the behavior and application of squarefree sequences, rediscovering a number of great results—the fun of discovery outweighing the tardiness!

He says, “I enjoy reviewing books in familiar and in strange fields. It serves potential readers to outline the material and to suggest the issues covered and the manner of their coverage, forming a preview of style and efficacy as well as contents. If there is a chance for humor, all the better.”

Since retiring in 2011, he spends much time in event planning with his wife; for some of that work, please see: Francis in the Schools and White Pony Express.

 
 
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   Reinforcement learning of bimanual robot skills
Colomé A., Torras C., Springer International Publishing, New York, NY, 2019. 182 pp.  Type: Book (978-3-030263-25-6)

This book is an extension of Colomé’s doctoral dissertation, which was directed by Torras. The foreword credits it as “a finalist for the 2018 Georges Giralt PhD Award for the best doctoral thesis in Europe...

Feb 16 2021  
   Artificial psychology: psychological modeling and testing of AI systems
Crowder J., Carbone J., Friess S., Springer International Publishing, New York, NY, 2019. 169 pp.  Type: Book (978-3-030170-79-0)

According to the authors, Dan Curtis proposed artificial psychology as a theoretical discipline in 1963 (p. 164). During the 56 years since, it can be expected to have broadly expanded in both complexity and overarching clarity; this b...

Jan 17 2020  
   Rhythm, play and interaction design
Costello B., Springer International Publishing, New York, NY, 2018. 188 pp.  Type: Book (978-3-319678-48-1)

Ten of the 12 chapters in this amazing book begin by interviewing either an artist, scholar, designer, educator, or creator (and some are all five). This discussion recast as a monologue (or dialogue in the single case of a pair of int...

Oct 25 2019  
   Hamlet on the holodeck: the future of narrative in cyberspace (updated ed.)
Murray J., The MIT Press, Cambridge, MA, 2017. 440 pp.  Type: Book (978-0-262533-48-5)

Readers of this book are treated to an exploration of how story enlivens new computer-based representational technologies. Taking an incident from the Star Trek holodeck as an initial example, Murray demonstrates that the old me...

Aug 15 2018  
   Computational autism
Galitsky B., Springer International Publishing, New York, NY, 2016. 380 pp.  Type: Book (978-3-319399-71-3)

Galitsky summarizes research and practice from two decades aimed at describing, defining, implementing, and applying computer systems that model, simulate, elucidate, and rehabilitate autism. While “rehabilitation” ...

Nov 29 2017  
   Ada’s legacy: cultures of computing from the Victorian to the digital age
Hammerman R., Russell A., Association for Computing Machinery and Morgan & Claypool, New York, NY, 2015. 262 pp.  Type: Book (978-1-970001-48-8)

A record and celebration of a 2013 conference exploring the legacy of Augusta Ada Lovelace, this collection of 12 chapters includes Lovelace’s published writing on Charles Babbage’s Analytical Engine (AE), called &a...

May 25 2017  
   Lauren Ipsum: a story about computer science and other improbable things
Bueno C., No Starch Press, San Francisco, CA, 2015. 192 pp.  Type: Book (978-1-593275-74-7)

Those among us who have line printed the jargon dictionary on greenbar fanfold will love this book. But what of the target audience, girls and young women who may be on the verge of attraction to computer science? Amazon rankings are s...

May 25 2016  
   The foundations of computability theory
Robic B., Springer Publishing Company, Incorporated, New York, NY, 2015. 331 pp.  Type: Book (978-3-662448-07-6)

This book serves as an introduction to computability for readers who are somewhat familiar with mathematics and logic. The brief appendix of notions and notations is useful, but does not provide standalone orientation. For the prepared...

Apr 19 2016  
   3D animation for the raw beginner using Maya
King R., Chapman & Hall/CRC, Boca Raton, FL, 2014. 486 pp.  Type: Book (978-1-439852-64-4)

This book comprises 17 chapters, plus a 16-page color insert. Despite its title, even a mostly baked beginner will find the exercises challenging, the language undiluted, and the capacities, layers of interface, and encyclopedic functi...

Aug 6 2015  
   Mathematical logic (2nd rev. ed.)
Li W., Birkhäuser Basel, New York, NY, 2014. 301 pp.  Type: Book (978-3-034808-61-3)

In this work, the author, a former president of Beihang University (Beijing), gives a brilliant extension of mathematical logic to support software development (versioning, revising, testing, and debugging) in particular and the proces...

May 1 2015  
 
 
 
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