This Blog will focus on mathematics and mathematical physics. As such, participants should be comfortable in the areas of set theory, algebra, analysis, tensor analysis and some differential geometry no lesser than upper-division level.  Some text references at this level are listed below:

1. Naive Set Theory by Paul R. Halmos

2. Mathematical Analysis by  Tom M. Apostol

3. Topics in Algebra by I. N. Herstein

4. Tensors, Differential Forms, and Variational Principles by David Lovelock and
Hanno Rund.


7 responses to “ProBlogue

  1. Hi, I would also recommend a paper by Julian Barbour titled The Nature of Time which may be read on arXiv: it is a very good introduction to some of the major issues needing to be addressed in how we have used time in both classical and quantum mechanics.

    Tony Pitucco

  2. Hi, I can also recommend another very interesting and informative book called: Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World by Amir Alexander. This “dangerous mathematical theory” was that a geometric continuum, such as the real line, is essentially composed of an infinite number of distinct entities called infinitesimals. Of course today this constitutes the basis of modern differential and integral calculus, but in the 15th and 16th centuries this idea challenged the foundations of both political and religious doctrine.
    As such, this is an excellent book to read in that it clearly shows how new ideas and concepts evolve and shape history and human thought.

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