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020 _a9780521068871
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
041 _aEnglish
082 0 0 _a517.53
_bSMI-C
100 1 _aSmithies, Frank
245 1 0 _aCauchy and the creation of complex function theory
260 _aNew York :
_bCambridge University Press,
_c1997.
300 _a216p.
504 _aIncludes bibliographical references and indexes.
520 _aIn this book, Dr. Smithies analyzes the process through which Cauchy created the basic structure of complex analysis, describing first the eighteenth century background before proceeding to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem and his work on expansions in power series. Smithies describes how Cauchy overcame difficulties including false starts and contradictions brought about by over-ambitious assumptions, as well as the improvements that came about as the subject developed in Cauchy's hands. Controversies associated with the birth of complex function theory are described in detail. Throughout, new light is thrown on Cauchy's thinking during this watershed period. This book is the first to make use of the whole spectrum of available original sources and will be recognized as the authoritative work on the creation of complex function theory.
600 _aCauchy, Augustin Louis,
_cBaron,
_d1789-1857.
650 _aFunctions of complex variables
_xHistory
_y19th century.
856 _3Table of contents
_uhttps://assets.cambridge.org/97805215/92789/toc/9780521592789_toc.pdf
856 _3Excerpt
_uhttps://assets.cambridge.org/97805215/92789/excerpt/9780521592789_excerpt.pdf
856 _3Reviews
_uhttps://www.goodreads.com/book/show/7374754-cauchy-and-the-creation-of-complex-function-theory#CommunityReviews
942 _cBK
_2udc
999 _c35025
_d35025