Infinitesimal Calculus (Dover Books on Mathematics) by James M. Henle https://www.amazon.com/Infinitesimal-...5893635&sr=1-1&tag=pfamazon01-20
Elementary Analysis: The Theory of Calculus
Kenneth A. Ross
https://www.amazon.com/dp/038790459X/?tag=pfamazon01-20
New Horizons in Geometry (Dolciani Mathematical Expositions) Tom Apostol
https://www.amazon.com/dp/038790459X/?tag=pfamazon01-20
Geometric Inequalities Nicholas D. Kazarinoff
Over and Over Again Gengzhe Chang
Precalculus:
Basic mathematics by lang
Principles of Mathematics by Carl Barnett, Allendoerfer
Books by Gelfand
Proof and foundation:
How to Prove It: A Structured Approach Daniel J. Velleman
Foundations and Fundamental Concepts of Mathematics (Dover Books on Mathematics) by Howard Eves
Mathematical Proofs: A Transition to Advanced Mathematics (2nd Edition) by Gary Chartrand
Book of Proof by Richard Hammack
Calculus:
Spivak's calculus(for familirized with proof and some calculus people,and used best by mathematics majors for mathematical purposes)
Introduction to Calculus and Analysis by Courant (for physics and application of math purposes)
First course in calculus by lang (to get a first impression on the subject)
Elements of the Differential and Integral Calculus by William Anthony Granville(did not use it but I'm very impressed by it).
linear algebra:
Introduction to Linear Algebra by Marvin Marcus
Linear Algebra (Dover Books on Mathematics) by Georgi E. Shilov
Linear Algebra, 4th Edition by Stephen H. Friedberg
Geometry:
Kiselev's Geometry by A. P. Kiselev
Geometry Revisited H. S. M. Coxeter