An Introduction to Contemporary Mathematics
by John Hutchinson
Publisher: Australian National University 2010
Number of pages: 295
The goal is to introduce you to contemporary mainstream 20th and 21st century mathematics. We will investigate some very exciting and useful modern mathematics and get a feeling for what mathematics is all about. 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.
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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 Herbert S Wilf - Dover Publications
The book for the advanced undergraduates and graduates in the natural sciences. Vector spaces and matrices, orthogonal functions, polynomial equations, asymptotic expansions, ordinary differential equations, conformal mapping, and extremum problems.
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 Wu-ting Tsai - National Taiwan University
Contents: Series; Vector Algebra; Matrix Algebra; Vector Calculus; Complex Variables; Trigonometry; Hyperbolic Functions; Limits; Differentiation; Integration; Differential Equations; Calculus of Variations; Functions of Several Variables; etc.