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STUDIA MATHEMATICA  Issue no. 4 / 2009  
Article: 
BOOK REVIEWS: LEON A. TAKHTAJAN, QUANTUM MECHANICS FOR MATHEMATICIANS, GRADUATE STUDIES IN MATHEMATICS, VOL. 95, AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, RHODE ISLAND 2008,X+278 PP, ISBN: 9780821846308. Authors: RADU PRECUP. 

Abstract: From the ancient times, the development of physics stimulated the research in mathematics, leading to the discovery of new areas in mathematics. In this sense, the most known is the creation by L. Schwartz and S. L. Sobolev of distribution theory, as a response to some curious manipulation (at least for mathematicians) of some strange functions, the best known being the Dirac delta function. Up to the early 20th century classical physics, especially classical mechanics, was an integral part of curricula for students in mathematics. The situation is totally different with quantum physics, which uses very advanced mathematical tools, but has never been a part of the curriculum of graduate students in mathematics. In trying to fill this gap the author taught, for more that 14 years, a course on quantum mechanics for students in mathematics at Stony Brook University. In fact, mathematics and physics are strongly interconnected, some topics as, for instance, string theory being chapters of mathematics and physics as well.  