1
vote
1answer
25 views

Good introductory book for self-studying quasigroups?

I'm looking for an undergraduate or beginning graduate level text from which to self-learn quasigroup theory. An emphasis on using quasigroups to understand the structure of groups would be ...
2
votes
1answer
45 views

Helpful to review certain calculus topics before first real analysis course?

This is my first time posting, so I apologize in advance if my question is inappropriate here. I wanted to know if it would be beneficial for me to review certain calculus topics before I take my ...
7
votes
2answers
183 views

What kind of math topics exist?

What kind of math topics exist? The question says everything I want to know, but for more details: I enjoy studying mathematics but the problem is that I can't find any information with a summary ...
4
votes
4answers
90 views

Learning trigonometry on my own.

I have been self teaching myself math beginning with a grade 10 level for a while now and need learn trigonometry from near scratch. I am seeking both books and perhaps lectures on trigonometry and ...
5
votes
3answers
146 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 ...
10
votes
8answers
407 views

Suggest an Antique Math Book worth reading?

I'm not a math wizard, but I recently started reading through a few math books to prepare myself for some upcoming classes and I'm starting to really get into it. Then I noticed a few antique math ...
9
votes
3answers
190 views

Being ready to study calculus

Some background: I have a degree in computer science, but the math was limited and this was 10 years ago. High school was way before that. A year ago I relearnt algebra (factoring, solving linear ...
3
votes
1answer
129 views

Looking for a logically coherent book for the self-study of differential equations

I'm looking for a logically coherent book for the self-study of differential equations. Let me clarify. By logically coherent, I don't mean proofs of the limit laws, uniqueness theorems etc. By ...
6
votes
5answers
286 views

Calculus book recommendations (for complete beginner)

Well I have not started calculus yet but I am really keen to. I would love if you suggest some books. Points to be noted: I really don't like the way textbooks are written so please no "textbooks" ...
3
votes
1answer
160 views

Is “Functional Analysis” by “Yosida” a good book for self study?

I was wishing to start studying by myself the book Functional Analysis by Yosida, does anyone have already used it, is it a good reference?
6
votes
2answers
164 views

Filling the gap in knowledge of algebra

Recently, I realize that my inability to solve problems, sometimes, is because I have gaps in my knowldge of algebra. For example, I recently posted a question that asked why $\sqrt{(9x^2)}$ was not ...
8
votes
6answers
294 views

Making up for wasted high school years - where should I begin?

I realize this question is long and quite personal but any help will be greatly appreciated. I'm a senior high school student. I've learnt maths at precalculus level. I have had little exposure to ...
23
votes
8answers
889 views

How to use math textbooks

I'm a higher schooler who was recently gifted a book by my teacher (Schaum's outline of advanced calculus) which is really awesome and I've started working my way through it. I have run into a ...
3
votes
7answers
217 views

What fields of math would be most interesting for non-mathematicians?

I'm a regular high schooler with an interest in mathematics, but I don't think I will study (pure) mathematics in university, because I'm leaning slightly more towards aerospace engineering and/or ...
4
votes
2answers
237 views

Where to go after Advanced Calculus 2?

I will be finishing up Advanced Calculus 2 soon and I would like to continue self studying Analysis. I want to learn Real and Complex Analysis, Measure Theory and all that other good stuff. but I am ...
0
votes
3answers
252 views

Books for Self learning math from the ground up

I am a CSE graduate currently working as a .NET and android developer. I feel my poor basic in mathematics is hampering my improvements as a programmer. I want to achieve a sound understanding on the ...
5
votes
2answers
127 views

Books on the history of foundations of mathematics?

Can you point me to some books on the history of the foundations of mathematics? At the moment I'm searching for something light because of my lack of mathematical maturity and also the fact that I'm ...
4
votes
4answers
721 views

Multivariable Calculus books similar to “Advanced Calculus of Several Variables” by C.H. Edwards

I am currently trying to teach myself multivariable calculus using C.H. Edwards' "Advanced Calculus of Several Variables", but the text unfortunately doesn't have very many problems with solutions. ...
13
votes
6answers
557 views

Book on the Rigorous Foundations of Mathematics- Logic and Set Theory

I am asking for a book that develops the foundations of mathematics, up to the basic analysis (functions, real numbers etc.) in a very rigorous way, similar to Hilbert's program. Having read this ...
2
votes
1answer
132 views

Problem Regarding Time Management

I don’t know whether it’s the right place to ask for such a request. I would like to express my apologies in advance if it anyhow goes against the dignity of the forum. I’m taking preparation for a ...
4
votes
8answers
439 views

Studying Math, All Over Again

I am 16 and never really paid attention to math. For me it was just one more obstacle in passing the exams. Now that I study computers, mostly on my own, I find that there is indeed a need for me to ...
6
votes
2answers
268 views

Strengthening My Foundation in Mathematics

"For every equation you introduce, you cut your audience in half." This expression, which I believe came from Stephen Hawking, summarizes why I believe that I have a weak foundation in ...
4
votes
2answers
218 views

Strategy to improve own knowledge in certain topics?

My background is physicist/engineer, and at university we studied only particular topics in mathematics. Some of the courses were never used and faded away with time, and I need to refresh the ...
2
votes
1answer
112 views

Easy papers on fundamental groups (for beginners)

I'd like to read some papers concerning fundamental groups, for example, papers written to explain some basic facts about homotopy explicitly for undergraduate students. All the papers I have ...
9
votes
5answers
320 views

Notes for Beginner Fourier Analysis?

Are there any good lecture notes or books on basic fourier analysis that authors publish freely online? It is very difficult to find rigorous mathematical theory of fourier analysis because google is ...
4
votes
2answers
300 views

Follow-up to Baby Rudin

I would like to continue my study of analysis, albeit temporarily in self-study, and I was wondering what would be the best "sequel" to baby Rudin. Thank you very much for your advice.
2
votes
2answers
193 views

Require brilliant resources to self teach.

I'm far from the level of mathematical knowledge every user on this website posseses, however I am very much determined to get there as my love for mathematics increases. These are the topics: ...
12
votes
1answer
325 views

Learning path to the proof of the Weil Conjectures and étale topology

Assume you are an algebraic geometry advanced student who has mastered Hartshorne's book supplemented on the arithmetic side by the introduction of Lorenzini - "An Invitation to Arithmetic Geometry" ...
2
votes
1answer
120 views

Reading circle in mathematics?

How to learn about interesting topics in a small group of people?It seems very useful to broaden your mathematical background and get to know topics that are away from your field of specialization. ...
1
vote
0answers
115 views

A rigorous book (or preferrably set of notes) on classic multivariable calculus-analysis?

This is different to (Theoretical) Multivariable Calculus Textbooks as I want a classical treatment of line and surface integrals without the notion of a differential form. Prerequisites: Paths, ...
16
votes
6answers
1k views

Self-Studying Abstract Algebra; Aye or Nay?

I am a high schooler with a deep interest in mathematics, which is why I have self-studied Linear Algebra and have begun my self-study in Differential Equations. As I am a man who likes to plan ahead, ...
0
votes
1answer
215 views

Linear algebra and Multivariable calculus prerequisites for Stochastic Calculus

Which topics are considered "graduate-level" for the following subjects: Linear algebra Multivariable calculus On Internet, it is said that you need "graduate level" Linear algebra and ...
0
votes
1answer
101 views

Linear programming / linear optimization with R? [closed]

Any good books or websites that teach linear programming / linear optimization with R? Thanks. Edit (Jan 6, 2013): The following R code is an example by using the "lpSolve" package. ...
0
votes
2answers
165 views

Can you suggest me a good book for self-study of analytic geometry 1?

I'm stuyding mathematics alone, but I plan to enter in the university in the near future, I went to the university website and it suggests Analytic Geometry 1 as part of their curricula, the topics ...
3
votes
2answers
250 views

Algebra book(s): Beginner through to advanced

I admit, I am not great at Maths; I'm situated in one off the lowest Maths class for my year, partly due to myself losing focus last year. Though, I like maths, I really do. Especially since I do a ...
3
votes
2answers
147 views

Books with fun exercises

As university is a bit slow, we organize a group activity of doing math exercises (after learning the basics of the subject separately). Thus I am looking for a book with many exercises that are ...
3
votes
3answers
248 views

Need a crash course in fourier analysis, recommend resources

I need to be able to understand everything about fourier analysis asap. Could you recommend one or two references or books that are considered 'the book' to learn this subject?
1
vote
1answer
148 views

Looking for supplemental book or papers for honors high school student learning geometry proofs.

My child is taking honors geometry in high school this year and the teacher is starting them off with proofs with is great, however this being their first introduction to proofs it needs to be done ...
9
votes
1answer
892 views

How to self study Linear Algebra

I have no idea if this question is appropriate for this forum, but I hope you guys can overlook the fact that I asked it on a wrong forum (if I did) and still help me answer it (of course, if this is ...
7
votes
2answers
279 views

Prerequisite reading for Weil's Basic Number Theory

I'm interested as to what would constitute prerequisite reading for André Weil's book Basic Number Theory. For simplicity (and generality), you can assume that the reader can read anything that ...
4
votes
1answer
266 views

Want to learn differential geometry and Riemannian geometry by myself

I want to follow a Ph.D. programme on geometric analysis. The main focus are Monge-Ampere equations and convex level set of $p$-harmonic equations. The theory of PDEs is very familar to me. However, I ...
47
votes
21answers
4k views

Complete course of self-study

I am about 16 years old and I have just started studying some college mathematics. I may never manage to get into a proper or good university (I do not trust fate) but I want to really study ...
2
votes
1answer
164 views

Problems and Resources to self-study medium level math

Questions regarding self studying have been asked here before, but those seem to concern mostly school level maths. My situation: I'm an engineer, before I started that training I flunked out of ...
1
vote
3answers
174 views

For Maths Major, advice for perfect book to learn Algorithms and Date Structures

Purpose: Self-Learning, NOT for course or exam Prerequisite: Done a course in basic data structures and algorithms, but too basic, not many things. Major: Bachelor, Mathematics My Opinion: Prefer ...
0
votes
0answers
107 views

Resources for learning measure theory [duplicate]

Possible Duplicate: Seeking a layman's guide to Measure Theory I am interested in learning measure theory. I've had a go once before, using Billingsley's "Probability and Measure" but ...
3
votes
4answers
891 views

Teaching Yourself Analysis

So my limited mathematics education has been especially ignorant of analysis. In this vein, I'd like to teach myself some of the introductory basics. I'm intrigued by sources that might contain ...
2
votes
2answers
246 views

study topology: homotopy and homology

I want to study the basis of topology. I know functional analysis and very basic topology. I need to learn about homologies and homotopies but it seems that all the books (mostly of Russian authors) ...
6
votes
5answers
2k views

Which calculus text should I use for self-study?

I am 36 years old, and have forgotten a lot of math from high school, of which I only took up to Algebra 2. However I am teaching myself mathematics and am now, as an adult, completely fascinated ...
4
votes
4answers
1k views

Preparing For University and Advanced Mathematics

I am currently a college student, computer programming, who has developed an intense passion for mathematics. Following my graduation I wish to pursue a University degree in mathematics, the September ...
0
votes
1answer
121 views

Course Dependency Checking for an Engineer

tl;dr : Is the dependency in the figure attached accurate? Long Version : I am through with my engineering and am shifting to math for grad school. I am looking forward to re-learning (reviewing) ...

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