2/5/2012 -- LAMC High School: Calculus, Topology and the Discovery of Interior Fixed Points -- Prof. Bob Brown

The talk will illustrate two themes. The first is that topology, a branch of mathematics that was developed during the 20th century, can be viewed in part as a natural continuation of mathematicians' efforts, from the 17th century onward, to clarify the foundations of calculus. The second is that, in contrast to sciences in which a new theory supplants all previous ones, in mathematics new developments generally arise as extensions of previous discoveries. Specifically, we will trace a portion of the history of calculus and topology to see how it served as background to research conducted late in the 20th century.

Handouts:

Calculus, topology and fixed point

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	2/5/2012 -- LAMC High School: Calculus, Topology and the Discovery of Interior Fixed Points -- Prof. Bob Brown The talk will illustrate two themes. The first is that topology, a branch of mathematics that was developed during the 20th century, can be viewed in part as a natural continuation of mathematicians' efforts, from the 17th century onward, to clarify the foundations of calculus. The second is that, in contrast to sciences in which a new theory supplants all previous ones, in mathematics new developments generally arise as extensions of previous discoveries. Specifically, we will trace a portion of the history of calculus and topology to see how it served as background to research conducted late in the 20th century. Handouts: Calculus, topology and fixed point [Edit]