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 Florentin Smarandache - viXra
This book is addressed to College honor students, researchers, and professors. It contains 136 original problems published by the author in various journals. The problems could be used to preparing for courses, exams, and Olympiads in mathematics.
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.
by Stephen Siklos - Open Book Publishers
The book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects. It is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in mathematics.
by J. Douglas, P. Franklin, C.J. Keyser, L. Infeld - Morrill Press
Addresses delivered by Jesse Douglas, Philip Franklin, Cassius Jackson Keyser, and Leopold Infeld. Contents: Survey of the theory of integration; The four color problem; Charles Sanders Peirce as a pioneer; The fourth dimension and relativity.