CURRENT Medical Diagnosis and Treatment 2012, Fifty-First - download pdf or read online

By Stephen J. McPhee

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Extra info for CURRENT Medical Diagnosis and Treatment 2012, Fifty-First Edition

Example text

Before Ramanujan, Cambridge had enjoyed quite a strong Austrian School representation with names such as James Glaisher (1848–1928) and Arthur Cayley (1821–95), from the nineteenth century. F. H. Jackson (1870–1960), James Rogers (1862–1933) and Andrew Russell Forsyth (1858–1942) from the twentieth century represent a kind of transition to the Watson School. 30 2 The different languages of q-calculus The Watson School may be said to start in earnest with the Indian Cambridge mathematician Srinivasa Ramanujan’s discoveries, namely the mock theta functions and the Rogers-Ramanujan identities.

Nørlund also knew q-calculus; F. Ryde published a thesis on this subject under his supervision in Lund. The next link in the chain is perhaps Per Karlsson (1936–), the expert on multiple hypergeometric functions and friend, among other things, collaborator and model of the author. One can mention also Christian Berg, who works on moment problems and real analysis. Russian School: Russian mathematicians have greatly influenced the above mentioned Hungarian School through studies of polynomials. Russia has, in general, a strong tradition in mathematics, which dates back to Euler and the 18th century mathematicians who took up this heritage.

Jackson (1870–1960), James Rogers (1862–1933) and Andrew Russell Forsyth (1858–1942) from the twentieth century represent a kind of transition to the Watson School. 30 2 The different languages of q-calculus The Watson School may be said to start in earnest with the Indian Cambridge mathematician Srinivasa Ramanujan’s discoveries, namely the mock theta functions and the Rogers-Ramanujan identities. The Watson School goes, in a manner of speaking, straight from Gauß to the twentieth century Srinivasa Ramanujan (1887–1920) and thus skips and misses out a 150-years period of fruitful European studies.

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