Literature and Links
Here are some books and websites that have been mentioned in the mathematical marginalia.
- [Aigner, Ziegler 2014]
- Aigner M., Ziegler G.M. :
- Proofs from THE BOOK, Fifth Edition.
- Springer (2014).
- There is nothing to say about this book, except that it is the ideal Xmas present for every mathematician. (⇒ Google Books)
- [Arnold 2004]
- Arnold W.I. :
- Problems for children from 5 to 15
- at Imaginary.org
-
We leave it to W.I. Arnold himself, to give an abstract:
This brochure consists of 77 problems for development of thinking culture, either selected or composed by the author. Most of them do not require any special knowledge beyond the general education. However, solving some of them may turn out challenging even for professors. The book is addressed to school and university students, teachers, parents – to everybody who considers the thinking culture an essential part of the personality development. (⇒ imaginary.org)
- [Crofoot 2002]
- Crofoot, R. B. :
- Running with Rover.
- Mathematics Magazine (October 2002).
- (⇒ Mathematical Association of America)
- [Kruse 2001]
- Kruse, M. :
- Urmel fliegt ins All.
- Thienemann (2001), ISBN 978-3522169035.
- There seems to be no English translation of this book from the Urmel book series, so I'll give a very short abstract: Prof. Habakuk Tibatong, the Urmel and several other animals visit the planet Futura, which is a twin of the earth, revolving around the sun on the same orbit as the earth, but exactly on the opposite side, hence being a symmetric image of the earth with respect to the midpoint of the sun. (⇒ Google Books)
- [Nahin 2006]
- Nahin, P. J. :
- Dr. Eulers Fabulous Formula.
- Princeton University Press, Princeton N.J. (2006)
- One of my favourite books, taking Eulers famous formula $e^{i\pi}+1 = 0$ as central theme to connect several mathematical topics, like the geometry of complex numbers, the irrationality of $\pi$ or even Fourier series. The problem, dealt with in the marginalia, can be found in chap.2.3 Parallel races. Some chapters require a background far beyond high-school math. (⇒ Google Books)