As is widely known, mathematics plays a unique role in all natural sciences as a refined scientific language and powerful research tool. Indeed, most of the fundamental laws of nature are written in mathematical terms and we study their consequences by numerous mathematical methods (and vice versa, any essential progress in a natural science has been accompanied by fruitful developments in mathematics). In addition, the mathematical modeling in various interdisciplinary problems and logical development of mathematics on its own should be taken into account. [...]
References
[1]
Berggren, J.L. Mathematics, the Encyclopedia Britannica. Available online: http://www.britannica.com/EBchecked/topic/369194/mathematics (accessed on 20 December 2012).
[2]
Kolmogorov, A.N. Mathematics. Great Soviet Encyclopegia (in Russian); Russ Portal Company Ltd.: Moscow, Russia, 2001–2002. (translated by Macmillan: New York, NY, USA\Collier-Macmillan: London, UK, 1974–1983). Available online: http://www.kolmogorov.info/bse-mathimatic.html (accessed on 20 December 2012).
[3]
Rusin, D.J. The Mathematical Atlas—A Gateway to Modern Mathematics. Available online: http://www.math-atlas.org/ (accessed on 20 December 2012).
[4]
Arnol’d, V.I. Yesterday and Long Ago; Springer: Berlin, Germany, 2007. (Original Russian edition published by PHASIS: Moscow, Russia, 2006. English edition jointly published with PHASIS). Available online: http://www.springer.com/mathematics/history+of+mathematics/book/978-3-540-28734-6 (accessed on 20 December 2012).
[5]
Arnol’d, V.I. What Is Mathematics? (in Russian); Moscow Center for Continuous Mathematical Education: Moscow, Russia, 2002.
[6]
Bourbaki, N. Eléments de Mathématiques. (or http://en.wikipedia.org/wiki/Nicolas_Bourbaki ) (accessed on 20 December 2012).
[7]
Podnieks, K. On the Nature of Mathematics. Available online: http://www.ltn.lv/~podnieks/slides/whatis/Podnieks_Nature.htm (accessed on 20 December 2012).
