today I want to ask a question, that might sound a little bit strange. It all began when I was quite young, around 6-8 years old. At that time I loved mathematics, it was one of the topics I really enjoyed. While the kids my age were adding bananas and apples I was doing double digit multiplication (which in itself doesn't mean anything but I did it because I enjoyed it) and numbers came very naturally to me.I also loved everything about computers and taught myself everything there was to know at that time. However then a dramatic event happened and the person that brought me to love mathematics, sadly passed away. From that day on, I didn't really have much of interest in it anymore. I still always passed my courses and didn't have a big problem in passing them, but the joy was gone. The years went by and the time came to go to university (where I'm at now).

At University now I also have quite some mathematics and now I'm beginning to struggle with it, since my foundation is not very solid. Like I said above, I just passed the courses (in high school) but didn't really grasp the concepts that well and once you build on a shaky foundation, the whole building collapses sooner or later (that is the point where I'll be shortly). I want to find my love for mathematics again, but don't really know where to start. I want to start at the very basics (I know how to count lol, so a little but further) and work my way up to a point where I have a very good grasp of every major mathematics branch (not so deep that I'll be able to write a PHD thesis, but a good one). I set aside 4 hours per day, to arrive at that goal. What I'm asking of you is a detailed list of books (for every major branch of mathematics) that I can use to reach that goal. Books that go from absolute beginner level to advanced level.

I'd appreciate every kind of pointer I get from you guys. Thanks a lot.

P.S: I know that there were already questions like this asked, but most of the times they are asking it for a specific mathematical topic and not in general.


closed as off-topic by Namaste, John Douma, Andrés E. Caicedo, Jean-Claude Arbaut, Leucippus Nov 24 '18 at 0:29

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  • "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – Namaste, Jean-Claude Arbaut
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  • $\begingroup$ Do you have a firm grip on Theory of equations,conic sections and calculus? You can brush them up before moving on to combinatorics , number theory, and sequence and series. These chapters are taught before engineering courses generally. $\endgroup$ – Akash Roy Nov 23 '18 at 17:12
  • $\begingroup$ I don't know much about number theory but little knowledge is required although $\endgroup$ – Akash Roy Nov 23 '18 at 17:13
  • $\begingroup$ I’m sure this will be closed as being too broad or primarily opinion based. A rough suggestion: pick up a reasonable precalculus book (the only one I can name is by Stewart, Redlin, and Watson and I’d give it a 6/10 in terms of usefulness). Go through whatever book you get very well, and hmthen if you’re serious about mathematics, get an introductory real analysis book (Principles of Math Analysis by Rudin is terse but very good; Introduction to Analysis by Wade is gentler but not as thorough). From there, you can pick up pretty much any introductory book (algebra, topology, etc.) $\endgroup$ – Clayton Nov 23 '18 at 17:22
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    $\begingroup$ I would request everyone not to close the question because of emotional reasons. $\endgroup$ – Akash Roy Nov 23 '18 at 17:46
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    $\begingroup$ @user376343 it's ok. Although I find it kind of sad that THE place that is supposed to be for all topics related to mathematics is not really the place after all, I can fully understand the mods adhering to the rules (rules count for everybody). I'lll try to get the required information elsewhere. Still thanks for sticking up. $\endgroup$ – Oto Nov 26 '18 at 11:47

Mathematical Mysteries- Calvin Clawson

Beyond Numeracy- John Alan Paulos

Also see if your teacher who liked math preferred any books.


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