Introduction to Elementary Particles

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Lecture 2 7 Sep 26, 2002 2 Tools of Particle Physics One of the most obvious tools is Mathematics. Physics without mathematics is is only play and guess- work. Mathematics is in fact both a tool as well as a guide to new ideas in physics. Many new concepts were born by studying in detail the consequences of a particular theoretical framework. Quite often, detailed predictions following from a theory are compute-intensive, and require new mathematical techniques to be developed. Since the time of Newton and Keppler, the development of mathematics and physics have gone hand-in-hand. Recent theoretical developments in quantum gravity and string theory are exceedingly mathematical in nature and have spurred new developments in the field of to- pology. In this course, we will keep the use of mathematics at an appropriate level, requiring only simple calculus, some notion of differential equations, and some basic matrix algebra. 2.1 Units
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