Mathematics and Physics are twins, fraternal, not identical; they grew up together into young manhood. Then they separated, but kept in close touch with each other. In this talk I will describe instances where mathematics came to the help of physics as well as many instances when physics supplied mathematics with new problems and ideas.
Professor Lax is a recipient of the National Medal of Science, the Wolf Prize in Mathematics, and the Abel Prize. For some background on his work, please see http://www.abelprisen.no/en/prisvinnere/2005/documents/popular2005eng6.pdf
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