An Infinitely Large Napkin
by Evan Chen
Publisher: MIT 2016
Number of pages: 615
The Napkin project is a personal exposition project aimed at making higher math accessible to high school students. Topics: Basic Algebra and Topology; Linear Algebra and Multivariable Calculus; Groups and Rings; Complex Analysis; Quantum Algorithms; Algebraic Topology; Category Theory; Differential Geometry; etc.
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by Christoph Kirsch - University of North Carolina
Topics covered: Introduction to boundary value problems for the diffusion, Laplace and wave partial differential equations; Bessel functions and Legendre functions; Introduction to complex variables including the calculus of residues.
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 Michael Batty - BookBoon
The aim is to explain some areas commonly found difficult, such as calculus, and to ease the transition from school level to university level mathematics, where sometimes the subject matter is similar, but the emphasis is usually different.
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.