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.
Download or read it online for free here:
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 Walter E. Wynne, William Spraragen - Van Nostrand
The authors endeavored to supply a handy means of reference to theoretical and applied mathematics used in engineering, and while the first aim has been to make this a mathematical handbook, it also includes the underlying engineering applications.
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 David B. Surowski - Kansas State University
An advanced mathematics textbook accessible by and interesting to a relatively advanced high-school student. Topics: geometry, discrete mathematics, abstract algebra, series and ordinary differential equations, and inferential statistics.