Data, Databases and Mathematics. Answers I spent time finding out.
Found some top search engine websites unable to access. Sourced below files from internet share here.
Update: Thanks to @slava from the Discord book club. He shared a better collection here in Dropbox: https://www.dropbox.com/sh/gsr00wgzdox296l/AAAPKN5HP0qGZxx5MANcsBhCa?dl=0
An (*incomplete) collection Google Drive link: https://drive.google.com/drive/folders/106wetwQ7Be9Yh1_veDOD0poGThoIkMme?usp=sharing
Reference link to the earlier blog post:
Comment: A very good book for beginners. very new and short, pressed in 2020 with only 80 pages. It’s a quick and clear recap for the revolutions of String Theory from initial motivation to the latest development and achievements. With very few formulas but delivered very clear ideas of the subject. Covering an introduction to Penrose’s Twistor Theory.
Comment: no comment, the honor to study from Sir Penrose directly.
Comment: A short and clear review from 3rd person angel on the Twistor Theory.
Comment: As titled, It’s a systematical book to introduce the mathematics covering from Complex numbers, Geometry and Group theory, up to Relativity Theory, Quantum Mechanic, Cosmology, String Theory and the Twistor Theory. Just the best learning path directly provided by Sir Penrose, the genius Nobel Prize winner. There’s a brilliant Book Club for studying the book. Join Here in the Discord App.
Update: Book exercises solutions shared in another blog post: Penrose – Road To Reality Exercises Solutions PDF Download
Comment: With the critical thinking on the other historical String Theories, Penrose gradually introduce his ideas on the broaden topics around his studies. A supplementary and more updated book to cover Penrose’s ideas.
To be continued. Any further study suggestions or discussions welcomed!
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.
TonieLook's Data Blog 