Mathematics question...?

This doesn't happen in your first couple years at undergrad. Normally in your late second year or early third years you start to take proof based classes.

If you are interested now, I know of a book that made me fall in love with the subject and want to be a 'pure' mathematician.

The book I would recommend is:

Set Theory and Metric Spaces

By Irving Kaplansky ISBN: 0821826948

As I said this book made me fall in love with the subject of mathematics and want to do that as opposed to something else. I took this in the beginning of my 3rd year of undergrad.

It really isn't too hard to read, however it is kind of hard to start writing proofs on your own without someone to guide you. You may go around and ask some teachers if they have an introductory course for advanced mathematics, like I took, ask if you just can sit in or ask to take it pass/fail.

Or perhaps you can find someone that is willing to take you under their wing and personally guide you in becoming a mathematician.

Set theory is good to learn how to read and write proofs and it is enlightening as to how useful and powerful the subject is. It makes a good solid introduction to the things that will follow. However it is only the beginning.

There are 4 main areas of pure mathematics that you should be familiar with. If you intend on going to graduate school and getting a PhD then you must choose one of them to master in. (Actually you choose a sub-category of a couple in some crazy intersection of these different theories.)

The 4 areas are:

Abstract Algebra

Real Analysis

Topology

Complex Analysis

Some good first year books that I had are:

Abstract Algebra, An Introduction

2nd edition

Thomas Hungerford

ISBN: 0-03-010559

Principles of Mathematical Analysis

3rd edition

Walter Rudin

ISBN: 0-07-085613-3

Topology

James R. Munkres

ISBN: 0131816292

Complex Variables and Applications

James Ward Brown & Ruel V. Churchill

ISBN: 0072872527

Any of these, I feel, provides a good, well written introduction to the subject and shows you how to write proofs and gives you a good understanding of the layout of the subject and a taste of things to come. See if your library has them, perhaps you could do some reading on some stuff on the internet, and get a feel. In the end you really do need some book so that you can see the whole layout and not just the snippets and 'important parts'.

Personally I'm fond of Algebra. I like how accessible the topic is and the types of questions one asks and answers with the subject. Depending on what you find interesting will guide you to really like one topic and get to like it.

Good luck and feel free to ask me any questions you might have!

hi: I used to hate math till I observed the tutor Donald Duck in Math magic land and view a e book entitled "arithmetic in the Making" by employing Lancelot Hog den ( an exceedingly stable e book on How math replaced background and how it used in at the instant's cases) and the time existence e book series entitled "arithmetic" . After that i grew to become into addicted to Math , I found out, it policies the international and devoid of it. modern existence as all of us comprehend would grind to a halt. no longer consumer-friendly to have self belief that lots of the main modern invention are end results of the maths , Engineering relies upon on it. regardless of the undeniable fact that this is exciting and alluring all at that sometime. i think your precise approximately why arithmetic is hated. yet while human beings want a answer approximately How lots or the place there are at . arithmetic includes the rescue human beings. i'm hoping this helps

You might be taking the wrong classes.

try a class in number theory.

Study hard and never give up so easily