Data, Databases and Mathematics. Answers I spent time finding out.
逆水行舟，不进则退。
《增广贤文》
人生如逆旅，我亦是行人 。
苏轼
凡心所向，素履所往，生如逆旅，一苇以航。
七堇年
The total energy of the universe is constant,
The total entropy is continually increasing.
Rudolf Clausius
Entropy is time’s arrow.
Arthur Eddington
Only entropy comes easy.
Anton Chekhov
I believe that If one couldn’t study something well, is not because of the problem of one’s own, but just not yet find out a good book or a reasonable learning path. Here’s a selection of my favorite books in math study. Listed in the suggested reading order.
All of them available online, e.g. Amazon Kindle or Google Books, etc. Some free source can be found from internet shared by others, try Google with operator “filetype:pdf”
My suggestion is to go enjoy reading and the feeling of learning new things. Make sure to understand each concept clearly one by one, don’t rush for completing, so that you won’t get lost and frustrated in later chapters. Take a break when you feel tired, but do read a few pages everyday, so that even you feel progress slow, it’s still slowly progressing. In this way you will be keep motivated and rewarded continuously, which I think is the key factor for a successful self-pace study in Math.
Comment: As titled it’s written in a rocky style, fun but very clear and detailed calculation steps, from the basic of Limits up to Triple Integrals. I read the Chinese version which is very well translated by 師明睿.
Comment: It’s a book written online: http://immersivemath.com/. Clear demos and detailed proofs.
Comment: Brilliant book by Professor Tao 陶哲軒, leading reader to develop analysis with his thinking and understanding of mathematics. Suggest start reading from volume I Appendix A: The basics of mathematical logic.
To be continued.
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