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Old 2019-12-23, 08:15   #12
Blackadder
 
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I collect such sources here: http://philomath.boards.net/board/93/mathematics
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Old 2020-01-07, 01:45   #13
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Here is a link to Huang's paper on the Sensitivity Conjecture as noted within the recent issue of Discover magazine: https://arxiv.org/pdf/1907.00847.pdf

A related (possibly dated around 1949-55) paper from the University of Illinois Urbana which I photocopied years ago used 3D cubes of unit resistances to develop some interesting results..Fibonacci, etc.. Some original papers by G. Kron are also worth a look. These kinds of papers showed me at that time how circuit theory and certain kinds of mathematics are essentially interchangeable. Computer Science extends this methodology.

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Old 2020-01-07, 10:40   #14
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Quote:
Originally Posted by jwaltos View Post
Here is a link to Huang's paper on the Sensitivity Conjecture
Nice!
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Old 2020-11-12, 20:05   #15
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Paul Pollack's Number Theory books.
The first one can be downloaded free!
http://pollack.uga.edu/index.html#books
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Old 2020-11-13, 00:46   #16
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In the Number Theory Discussion Group subforum of the Math forum, there is a series of threads whose titles begin "Basic Number Theory" followed by numbers -- 1&2, 3, 4, 5, ..., 22.

Unlike Andre Weil's book infamously titled Basic Number Theory, these consist of introductory material.
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Old 2020-11-13, 10:06   #17
xilman
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Quote:
Originally Posted by Dr Sardonicus View Post
In the Number Theory Discussion Group subforum of the Math forum, there is a series of threads whose titles begin "Basic Number Theory" followed by numbers -- 1&2, 3, 4, 5, ..., 22.

Unlike Andre Weil's book infamously titled Basic Number Theory, these consist of introductory material.
As in texts which cover Elementary Particle Physics.
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Old 2020-11-13, 10:43   #18
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Quote:
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As in texts which cover Elementary Particle Physics.
Algebraic Number Theory can legitimately be thought of as both the algebraic branch of number theory and the theory of algebraic numbers.
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Old 2020-11-13, 14:07   #19
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Quote:
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Algebraic Number Theory can legitimately be thought of as both the algebraic branch of number theory and the theory of algebraic numbers.
One time a grad school classmate referred to Analytic Number Theory as "the theory of analytic numbers." Oops.

Of course, the title Basic Number Theory was somewhat in jest -- it is "basic" in the sense that it covers the basics of Class Field Theory. But it is definitely not an introductory text.

I don't know whether Weil ever became exasperated with the jokes about the book title, but it is a fact that 12 years later, he came out with another book called Number Theory for Beginners.

Reminds me, my third grade math class was really hard! The textbook was A Course in Arithmetic by Jean-Pierre Serre...
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