Just the Maths
by A. J. Hobson
Number of pages: 1296
Just the Maths is a collection of separate units, in chronological topic-order, intended to service foundation level and first year degree level courses in higher education, especially those delivered in a modular style. It concentrates on the core mathematical techniques required by any scientist or engineer.
Download or read it online for free here:
by Oliver Knill - arXiv.org
An expository guide to some theorems in mathematics. Criteria for the current list of 135 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide without leading to panic.
by John Hutchinson - Australian National University
The goal is to introduce you to contemporary mainstream 20th and 21st century mathematics. If you are doing this course you will have a strong interest in mathematics, and probably be in the top 5% or so of students academically.
by William J. Meese - arXiv.org
My goal with the book is to provide some kind of bridge for mathematics between the high-school-level and college-level for physics students. My focus is to help modify your thinking of how math is used, rather than just pummel you with algorithms...
by Evan Chen - MIT
The book is aimed at making higher math accessible to high school students. Topics: Basic Algebra and Topology; Linear Algebra; Multivariable Calculus; Groups and Rings; Complex Analysis; Quantum Algorithms; Algebraic Topology; Category Theory; etc.