Advanced Problems in Mathematics: Preparing for University
by Stephen Siklos
Publisher: Open Book Publishers 2016
Number of pages: 189
This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects. Each question is followed by a comment and a full solution. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics.
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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 Leslie Copley - De Gruyter Open
A text on advanced mathematical methods with numerous applications. The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions.
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 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.