Matches in Harvard for { <http://id.lib.harvard.edu/aleph/007642943/catalog> ?p ?o. }
Showing items 1 to 23 of
23
with 100 items per page.
- catalog abstract ""This book is an ideal text for an advanced course in the theory of complex functions. The author leads the reader to experience function theory personally and to participate in the work of the creative mathematician. The book contains numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. Topics covered include Weierstrass's product theorem, Mittag-Leffler's theorem, the Riemann mapping theorem, and Runge's theorems on approximation of analytic functions. In addition to these standard topics, the reader will find Eisenstein's proof of Euler's product formula for the sine function; Wielandt's uniqueness theorem for the gamma function and applications; a detailed discussion of Stirling's formula; Iss'sa's theorem; Besse's proof that all domains in C are domains of holomorphy; Wedderburn's lemma and the ideal theory of rings of holomorphic functions; Estermann's proofs of the overconvergence theorem and Bloch's theorem; a holomorphic imbedding of the unit disc in C[superscript 3]; and Gauss's expert opinion of November 1851 on Riemann's dissertation." "Remmert presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, will make this book an invaluable source for students and teachers."--BOOK JACKET.".
- catalog alternative "Funktionentheorie. 2. English".
- catalog contributor b10564060.
- catalog created "c1998.".
- catalog date "1998".
- catalog date "c1998.".
- catalog dateCopyrighted "c1998.".
- catalog description ""This book is an ideal text for an advanced course in the theory of complex functions. The author leads the reader to experience function theory personally and to participate in the work of the creative mathematician. The book contains numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. Topics covered include Weierstrass's product theorem, Mittag-Leffler's theorem, the Riemann mapping theorem, and Runge's theorems on approximation of analytic functions. In addition to these standard topics, the reader will find Eisenstein's proof of Euler's product formula for the sine function; Wielandt's uniqueness theorem for the gamma function and applications; a detailed discussion of Stirling's formula; Iss'sa's theorem; Besse's proof that all domains in C are domains of holomorphy; Wedderburn's lemma and the ideal theory of rings of holomorphic functions; Estermann's proofs of the overconvergence theorem and Bloch's theorem; a holomorphic imbedding of the unit disc in C[superscript 3]; and Gauss's expert opinion of November 1851 on Riemann's dissertation." "Remmert presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, will make this book an invaluable source for students and teachers."--BOOK JACKET.".
- catalog description "Includes bibliographical references and indexes.".
- catalog extent "xix, 349 p. :".
- catalog identifier "0387982213 (hardcover : alk. paper)".
- catalog isPartOf "Graduate texts in mathematics ; 172".
- catalog issued "1998".
- catalog issued "c1998.".
- catalog language "eng ger".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515/.9 21".
- catalog subject "Functions of complex variables.".
- catalog subject "QA331.7 .R4613 1998".
- catalog title "Classical topics in complex function theory / Reinhold Remmert ; translated by Leslie Kay.".
- catalog title "Funktionentheorie. 2. English".
- catalog type "text".