It is better to spend your energies on creating new mathematics than trying to fight over your old mathematics.在这句中 

old mathematics与

new mathematics分别如何解释好

是否理解为数学新领域和传统数学领域？

new mathematics --近代数学

old mathematics--古代数学

new mathematics 现代数学

old mathematics 传统数学

Klaus的翻译比较恰当。其实，new mathematics是指研究不确定性的数学，它的历史也已经有几十年，当然其它的数学就是old mathematics了。

With the maturity of linear and reductionist paradigms and the growing recognition of the importance of the new mathematics or the mathematics of uncertainty, this journal is devoted to the further development of the mathematics of uncertainty and its applications to computational, biological and social sciences.

http://www.worldscinet.com/nmnc/

Book overview

A History of the New Mathematics Movement and its Relationship with Current Mathematical Reform provides a history of the new mathematics movement of the 1950s and 1960s (and early 1970s) in the United States and relates it to current mathematics curricular reform.

http://books.google.com/books?id=RVY_aIlezpAC

Student solves a 30 year old mathematics problem

The problem is in a field of mathematics known as combinatorial design theory and its solution has been described by researchers in the area as a major breakthrough.

http://www.physorg.com/news8221.html

这个your 可以理解成“你感兴趣的”,如果把new mathematics与old mathematics 理解成“新的数学成就和旧的数学成就”,前边用动词create还勉强说得通,可是后边的fight over就无法解释了。