# Category: ∑📚 Math Resources

• ## Math text book: Group Theory by Milne

Link to the book’s website: https://www.jmilne.org/math/CourseNotes/gt.html

Here’s a description of the book given by the author:

The first version of these notes was written for a first-year graduate algebra course. As in most such courses, the notes concentrated on abstract groups and, in particular, on finite groups. However, it is not as abstract groups that most mathematicians encounter groups, but rather as algebraic groups, topological groups, or Lie groups, and it is not just the groups themselves that are of interest, but also their linear representations. It is my intention (one day) to expand the notes to take account of this, and to produce a volume that, while still modest in size (c200 pages), will provide a more comprehensive introduction to group theory for beginning graduate students in mathematics, physics, and related fields.

J. S. Milne about his math text book “Group Theory”

The book, including the source files, is available under a Creative Commons licence CC BY-NC-SA 4.0.

• ## Awesome lecture notes about the Riemann Zeta Function

Last year, I found very helpful lecture notes on analytic number theory and the Riemann Zeta function on Otto Forster‘s website. You might actually know this author by his (at least in Germany) very widely used real analysis text book series.

He has on his website several nicely typeset sets of lecture notes (but be warned that many of them are in German). Those lecture notes that I would like to point out here are:

These lectures notes overlap in some parts. They helped me a lot in understanding the rough outline of the usually taught proof of the prime number theorem and the concepts in analytic number theory in general. They also gave me a first glimpse of how the Riemann Zeta function can be approached and demystified.

Unfortunately, the chapter on Euler-Maclaurin summation is not available online. That’s why I recently bought H. M. Edward’s book “Riemann’s Zeta Function” about which I will write more in future posts.