I've learned math long time ago, but I hardly remember anything. I really want to relearn by reading good books, from the ground up. Workbooks didn't really help.
Other posts recommend different books. So a list of best books feels helpful from Pre-algebra to calculus and beyond. Would you be so kind to add which others you recommend. English is not my native language; please excuse typing errors.
Children
- The Number Devil: A Mathematical Adventure by Hans Magnus Enzensberger
- Alice in Puzzle-Land by Raymond M. Smullyan
- The Phantom Tollbooth by Norton Juster
- ...
Beginner
- What Is Mathematics? An Elementary Approach to Ideas and Methods by Richard Courant
- Mathematics: Its Content, Methods and Meaning (Dover Books on Mathematics) by A. D. Aleksandrov
- Mathematics: A very short introduction by Timothy Gowers
- ...
Basic Math
- Basic Mathematics by Serge Lang 1998 (high school or college students.)
- ...
Pre-Algebra
- Pre-Algebra DeMYSTiFieD by Allan Bluman
- ...
Algebra
- Algebra by Israel M. Gelfand 2013
- A book of Abstract Algebra by Charles Pinter?
- ...
Algebra II
- ...
Trigonometry
- Trigonometry by I.M. Gelfand 2013
- ...
Pre-Calculus
- ...
Calculus
- Calculus by Michael Spivak
- ...
Problem Solving
- https://en.wikipedia.org/wiki/Yakov_Perelman#Books
- How to Solve it by Polya's
- Techniques in Problem Solving by Steven George Krantz
- The Art and Craft of Problem Solving by Paul Zeitz
- How to Prove It: A Structured Approach by Daniel J. Velleman 2006
- Problem-Solving Strategies (Problem Books in Mathematics) by Arthur Engel
- Number Theory (Dover Books on Mathematics) by George E. Andrews
- Some of the books in the Art of Problem Solving series at www.ArtofProblemSolving.com