2
votes
1answer
58 views

Materials for studying logic

I am looking for study and beginner material to study mathematical logic. I understand that it is a very broad topic but I would like to know what the best path there is to learning mathematical ...
0
votes
1answer
31 views

Similar textbook to Konigsberger's Analysis 2?

I am currently taking an introductory course to real analysis and my professor has decided to leave Rudin's "Principles of Mathematical Analysis" when teaching us the concepts of Lebesgue integration. ...
3
votes
2answers
65 views

Motivation for Schur multipliers

What are Schur multipliers good for? I should probably clarify what I want. Here is an instructive story of how I came to appreciate complex representations and characters of groups. Basically, I ...
0
votes
1answer
43 views

What are the prerequisite for understanding complex analysis?

Which should I complete first before complex analysis? I am following Visual Complex Analysis by Tristan Needham. Is there any easier book?
23
votes
2answers
440 views

English words in written mathematics

I recently marked over $100$ assignments for a multivariable calculus course. One question which a lot of people did poorly was proving a given set was open. Aside from issues relating to rigour and ...
4
votes
3answers
114 views

How to fill gaps in my math knowledge?

Just finishing highschool, even though I am doing "well" (in the context of the math course itself), I have significant holes in my actual math knowledge. As I think many people who explore math ...
6
votes
0answers
67 views

Accessible introduction to category theory from the point of view of preorders. [duplicate]

Are there books renowned for introducing category theory in a very accessible way? An emphasis on the point of view that categories generalize preorders would be especially appreciated. My goal is to ...
0
votes
0answers
35 views

What do I need to know to understand Lagrange multipliers?

I've seen Lagrange multipliers used as a powerful method for tackling inequalities and some IMO problems, and I'm aware that it's a part of calculus. I'm currently taking BC Calculus in high school, ...
3
votes
1answer
105 views

Differential Geometry without General Topology

I want to ask if there is some book that treats Differential Geometry without assuming that the reader knows General Topology. Well, many would say: "oh, but what's the problem ? First learn General ...
2
votes
0answers
114 views

Is it possible to learn mathematics right from the source instead of reading textbooks. By studying the masters and not their pupils

i was wondering if mathematics learning process require the use of textbooks. When i was a high school student, i read as a preparation for university, Legendre book on Elements of geometry and ...
2
votes
1answer
114 views

What is a good book to learn number theory?

What would be a good book to learn basic number theory? If possible a book which also has a collection of practice problems? Thanks.
0
votes
1answer
45 views

Topic for presentation on Group Representations, Young Tableaux, Symmetric Group

I need to do a presentation relating to group representations/Young tableaux/symmetric group; however, for all my searching, I cannot find a cool topic that I find personally interesting (and that is ...
3
votes
1answer
40 views

Foundation on Diophantine Analysis and Number Theory

I want to read particularly about diophantine Analysis and Number Theory from a novice level. The books which I found on net: A Guide to Elementary Number Theory by Underwood Dudley Diophantine ...
2
votes
2answers
92 views

Which undergraduate math book cover topics about polynomials?

In China, there's a course called “Advanced Algebra," the first chapter of this course is all about polynomials, I wonder which undergraduate math books cover this topic? The details are below, sorry ...
8
votes
1answer
143 views

Real analysis textbok that develops the subject in a self-motivated, coherent fashion?

Well, it seems as though I just failed my analysis prelim for the second time... I have one more try in about $5$ months. I'm failing to build up a framework for how to think about analysis problems. ...

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