Hello, visitor. My name is John Peloquin. I live in New York City where I enjoy eating overpriced food and listening to garbage trucks. Sometimes I am mistaken for a pelican.
Technology
I work and play with technology. I also do freelance technical editing from time to time. Here are some books I edited:
- A Programmer’s Introduction to Mathematics, 2nd ed by Jeremy Kun (2020)
- Reliable JavaScript by Larry Spencer and Seth Richards (2015)
- Professional Website Performance by Peter Smith (2012)
- Professional JavaScript for Web Developers, 3rd ed by Nicholas Zakas (2012)
- JavaScript 24-Hour Trainer by Jeremy McPeak (2010)
More information is available here.
Mathematics
I studied math at Berkeley and continue to explore topics that interest me.
Videos
Here are some YouTube videos I made:
- Category Theory (series)
- Linear and Multilinear Algebra (series)
- Determinants (series)
- Fixed-Point Theorems
- Hyperreal Numbers
- The Concept of Finiteness
- The Frechet Derivative
- The Cantor-Schroeder-Bernstein Theorem
More are available here.
Papers
Here are some expository papers I wrote:
- Mixed up with Cayley and Hamilton (draft)
- Abstract Nonsense: A Glance at Category Theory
- A Note on Function Notation
- Zorn’s Bowels: The Mechanics of Choice and Recursion
- Ehrenfeucht’s Game-Theoretic Characterization of First-Order Elementary Equivalence
Notes
I have a habit of compiling notes and errata for math books. I send the errata to the authors if they are still alive, and they are usually not upset. Here are some examples:
- Undergraduate mathematics notes
- Awodey’s Category Theory notes
- Cutland’s Computability notes
- DePree and Swartz’s Introduction to Real Analysis notes and errata
- Dieudonne’s Foundations of Modern Analysis notes and errata
- Dieudonne’s Linear Algebra and Geometry notes
- Dummit and Foote’s Abstract Algebra notes
- Ebbinghaus’s Mathematical Logic notes
- Greub’s Linear Algebra and Multilinear Algebra notes and errata
- Jech’s Set Theory notes
More are available here.
Philosophy
Once upon a time I thought I wanted to be a professional philosopher. Here are some topics I enjoyed thinking about in the past: