Mathematical Methods for Physical Sciences II
by Christoph Kirsch
Publisher: University of North Carolina 2011
Number of pages: 209
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.
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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 David Lippman - Lulu.com
A survey of math for liberal arts majors. Introduces contemporary mathematics topics: voting theory, weighted voting, fair division, graph theory, scheduling, growth models, finance math, statistics, and historical counting systems.
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.
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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.