Explains results in the theory of functions of several complex variables which were established from the late 19th century through the middle of the 20th century, and introduces the mathematical world created by Kiyoshi Oka (1901-1978). Part I treats analytic functions in a univalent domain in Cn. Part II treats analytic functions in an analytic space; this is a slight generalization of a ramified domain over Cn. Treatment encompasses areas such as implicit functions and analytic sets, holomorphic mappings, analytic spaces, and normal pseudoconvex spaces. First published in Japanese in 1996 by the University of Tokyo Press, Japan. Translated by Norman Levenberg (Auckland University) and Hiroshi Yamaguchi (Nara Women's University). Annotation c. Book News, Inc., Portland, OR (booknews.com)
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... a welcome addition to the literature. The book is a pleasure to read (Mathematical Reviews )
Book by Toshio Nishino
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Da: Revaluation Books, Exeter, Regno Unito
Hardcover. Condizione: Brand New. 366 pages. 1.50x7.00x0.75 inches. In Stock. Codice articolo __0821808168
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Da: Rarewaves.com USA, London, LONDO, Regno Unito
Hardback. Condizione: New. 'Kiyoshi Oka, at the beginning of his research, regarded the collection of problems which he encountered in the study of domains of holomorphy as large mountains which separate today and tomorrow. Thus, he believed that there could be no essential progress in analysis without climbing over these mountains.this book is a worthwhile initial step for the reader in order to understand the mathematical world which was created by Kiyoshi Oka' - from the Preface. This book explains results in the theory of functions of several complex variables which were mostly established from the late nineteenth century through the middle of the twentieth century. In the work, the author introduces the mathematical world created by his advisor, Kiyoshi Oka.In this volume, Oka's work is divided into two parts. The first is the study of analytic functions in univalent domains in ${\mathbf C}^n$. Here Oka proved that three concepts are equivalent: domains of holomorphy, holomorphically convex domains, and pseudoconvex domains; and moreover that the Poincare problem, the Cousin problems, and the Runge problem, when stated properly, can be solved in domains of holomorphy satisfying the appropriate conditions.The second part of Oka's work established a method for the study of analytic functions defined in a ramified domain over ${\mathbf C}^n$ in which the branch points are considered as interior points of the domain. Here analytic functions in an analytic space are treated, which is a slight generalization of a ramified domain over ${\mathbf C}^n$. In writing the book, the author's goal was to bring to readers a real understanding of Oka's original papers. This volume is an English translation of the original Japanese edition, published by the University of Tokyo Press (Japan). It would make a suitable course text for advanced graduate level introductions to several complex variables. Codice articolo LU-9780821808160
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Da: Rarewaves.com UK, London, Regno Unito
Hardback. Condizione: New. 'Kiyoshi Oka, at the beginning of his research, regarded the collection of problems which he encountered in the study of domains of holomorphy as large mountains which separate today and tomorrow. Thus, he believed that there could be no essential progress in analysis without climbing over these mountains.this book is a worthwhile initial step for the reader in order to understand the mathematical world which was created by Kiyoshi Oka' - from the Preface. This book explains results in the theory of functions of several complex variables which were mostly established from the late nineteenth century through the middle of the twentieth century. In the work, the author introduces the mathematical world created by his advisor, Kiyoshi Oka.In this volume, Oka's work is divided into two parts. The first is the study of analytic functions in univalent domains in ${\mathbf C}^n$. Here Oka proved that three concepts are equivalent: domains of holomorphy, holomorphically convex domains, and pseudoconvex domains; and moreover that the Poincare problem, the Cousin problems, and the Runge problem, when stated properly, can be solved in domains of holomorphy satisfying the appropriate conditions.The second part of Oka's work established a method for the study of analytic functions defined in a ramified domain over ${\mathbf C}^n$ in which the branch points are considered as interior points of the domain. Here analytic functions in an analytic space are treated, which is a slight generalization of a ramified domain over ${\mathbf C}^n$. In writing the book, the author's goal was to bring to readers a real understanding of Oka's original papers. This volume is an English translation of the original Japanese edition, published by the University of Tokyo Press (Japan). It would make a suitable course text for advanced graduate level introductions to several complex variables. Codice articolo LU-9780821808160
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Da: Kennys Bookstore, Olney, MD, U.S.A.
Condizione: New. Explains results in the theory of functions of several complex variables which were mostly established from the late nineteenth century through the middle of the twentieth century. In this work, the author introduces the mathematical world created by his advisor, Kiyoshi Oka. Series: Translations of Mathematical Monographs. Num Pages: 450 pages, Illustrations. BIC Classification: PBKD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 260 x 183 x 25. Weight in Grams: 900. . 2001. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821808160
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Da: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlanda
Condizione: New. Explains results in the theory of functions of several complex variables which were mostly established from the late nineteenth century through the middle of the twentieth century. In this work, the author introduces the mathematical world created by his advisor, Kiyoshi Oka. Series: Translations of Mathematical Monographs. Num Pages: 450 pages, Illustrations. BIC Classification: PBKD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 260 x 183 x 25. Weight in Grams: 900. . 2001. Hardcover. . . . . Codice articolo V9780821808160
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hardcover. Condizione: Like New. LIKE NEW. SHIPS FROM MULTIPLE LOCATIONS. book. Codice articolo ERICA82908218081684
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