Re-learning math from scratch [closed]

Two or three years ago I decided to re-learn math from scratch, I did some research on what to read, made a list of books. I started from a Sawyer, it opened my eyes a little bit on the fact that math isn't that cryptic if you study it right, and that in fact it's quite interesting. But, for some reason I dropped it. Now I'm almost finished re-reading "Mathematician's Delight", but I look at the list I made several years ago and it scares and confuses me. I would be grateful if you guys could tell me in what order I should read this books (I own every book but the ones marked "don't have it"), should I buy the ones missing etc.

A little background: my school was math-focused and I kinda did well, but only because I learned by heart formulas and patterns of when to use them. I'm trying to do things right this time. I'd like to go through school program in a year, then spend summer learning Discreete math and Calculus (trying to apply for CS undergrad next year), so I could be month or two ahead of the program. Why I wanna be ahead? Because I found out that I can't at all absorb knowledge in class, mainly because there is always someone who spits answers faster then I get that precious insight on how things work, and why exactly they work this way.

So, here's the list of books with notes to myself:

Basics

• "Mathematician's Delight" by W. W. Sawyer
• "Journey through Genius: The Great Theorems of Mathematics" by William Dunham

Algebra

Geometry

• "Euclid's Elements"
• "Geometry: Euclid and Beyond" (Undergraduate Texts in Mathematics) by Robin Hartshorne

Trigonometry (prerequisite: geometry)

• "Trigonometry" by I.M. Gelfand

Pre-calculus/Analytical Geometry

• "Functions and Graphs" by I. M. Gelfand
• "Pre-Calculus Demystified" by Rhonda Huettenmueller

Calculus (prerequisite: pre-calculus)

• "Calculus: The Elements" by Comenetz
• "Calculus and Analytic Geometry (9th Edition)" by Thomas, Finney (blue hardcover w/ lighthouse) *don't have it
• "Calculus" by Spivak (read "How to prove it" first)
• Paul's Notes http://tutorial.math.lamar.edu
• Linear algebra is needed for cacl III

Linear Algebra (prerequisite: calculus 1,2)

• "Elementary Linear Algebra, 2nd Edition" by Paul Shields
• "Linear Algebra, 4th Edition" by Friedberg, Insel, Spence *dont have it
• "Linear Algebra Done Right" (Undergraduate Texts in Mathematics) by Sheldon Axler *don't have it

Discrete Math

• "Discrete Mathematics with Applications" by Susanna S. Epp (2nd edition) hardcover
• "Concrete Mathematics: A Foundation for Computer Science" (2nd Edition) by Ronald L. Graham *dont have it

closed as off-topic by Daniel W. Farlow, user296602, Henrik, user99914, Chill2MachtJul 30 '16 at 21:13

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• I don't know about "Mathematician's Delight", but "Journey Through Genius" is, IMHO, not something to learn math from. It is mostly history there, and the author arguably assumes a large set of math skills and a good level of familiarity with proof structures in the audience. It is also poorly structured because the author makes big jumps towards the end. It is just a good read when you have acquired enough knowledge and if you have some interest in the history of Maths. – user258700 Jul 30 '16 at 19:45
• Take an online course offered by universities. Learning only from books isn't so ideal I find. – RonaldB Jul 30 '16 at 20:31