Tunneling Through the Math Barrier
by William J. Meese
Publisher: arXiv.org 2018
Number of pages: 187
My goal with this 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 for you to memorize without giving you the proper context for such algorithms.
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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.
by Jean Gallier
From the table of contents: Linear Algebra; Determinants; Basics of Affine Geometry; Polynomials, PID's and UFD's; Topology; Differential Calculus; Zorn’s Lemma and Some Applications; Gaussian elimination, LU-factoring and Cholesky-factoring.
by Florentin Smarandache, at al. - arXiv
Throughout this book, the authors discuss some open problems in various branches of science, including mathematics, theoretical physics, astrophysics, geophysics, etc. Some parts of these problems may be found useful for scholarly stimulation.
by William Neville Rose - Chapman
These two volumes form a most comprehensive and practical treatise on the subject. They show the direct bearing of all principles to engineering practice, and will prove a valuable reference work embracing all the mathematics needed by engineers.