20191223, 08:15  #12 
"Angelino Desmet"
Mar 2018
Belgium
61_{8} Posts 
I collect such sources here: http://philomath.boards.net/board/93/mathematics

20200107, 01:45  #13 
Apr 2012
Brady
110000000_{2} Posts 
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 194955) 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. Last fiddled with by jwaltos on 20200107 at 01:54 
20200107, 10:40  #14 
Dec 2012
The Netherlands
3167_{8} Posts 

20201112, 20:05  #15 
Dec 2012
The Netherlands
5·331 Posts 
Paul Pollack's Number Theory books.
The first one can be downloaded free! http://pollack.uga.edu/index.html#books 
20201113, 00:46  #16 
Feb 2017
Nowhere
4,457 Posts 
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. 
20201113, 10:06  #17  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
2994_{16} Posts 
Quote:


20201113, 10:43  #18 
Dec 2012
The Netherlands
5·331 Posts 

20201113, 14:07  #19  
Feb 2017
Nowhere
4,457 Posts 
Quote:
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 JeanPierre Serre... 

20201126, 20:17  #20 
Apr 2012
Brady
2^{7}·3 Posts 
The ideas of particle physics: An Introduction for Scientists. Coughlan and Dodd. Cambridge University Press
The above book is a decent introduction for "beginners" and is a great starting point for further inquiry. This is one of those books where even if you skim through it superficially you will retain something..which is always a good thing. 
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