Neumann Compendium, the (World Scientific Series in 20th Century Mathematics)

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Neumann Compendium, the (World Scientific Series in 20th Century Mathematics)

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  • 製本 Hardcover:ハードカバー版／ページ数 760 p.
  • 言語 ENG
  • 商品コード 9789810222017
  • DDC分類 510

基本説明

After three decades since the first nearly complete edition of john von Neumann's papers, this book is a valuable selection of those papers and excerpts of his books that are most characteristic of his activity, and reveal that of this continuous influence.

Full Description

After three decades since the first nearly complete edition of John von Neumann's papers, this book is a valuable selection of those papers and excerpts of his books that are most characteristic of his activity, and reveal that of his continuous influence.The results receiving the 1994 Nobel Prizes in economy deeply rooted in Neumann's game theory are only minor traces of his exceptionally broad spectrum of creativity and stimulation.The book is organized by the specific subjects-quantum mechanics, ergodic theory, operator algebra, hydrodynamics, economics, computers, science and society. In addition, one paper which was written in German will be translated and published in English for the first time.The sections are introduced by short explanatory notes with an emphasis on recent developments based on von Neumann's contributions. An overall picture is provided by Ulam's, one of his most intimate partners in thinking, 1958 memorial lecture. Facsimilae and translations of some of his personal letters and a newly completed bibliography based on von Neumann's own careful compilation are added.

Contents

Part 1 Quantum mechanics: mathematical foundations of quantum mechanics; the logic of quantum mechanics, G. Birkhoff. Part 2 Ergodic-theory: proof of the quasi-ergodic hypothesis; operator methods in classical mechanics, P.R. Halmos. Part 3 Operator algebra: Zur Algebra der Funktionaloperationen und Theorie der Normalen Operatoren; on rings of operators; on rings of operators, reduction theory. Part 4 Hydro-dynamics: theory of shock waves; memorandum - use of variational methods in hydrodynamics. Part 5 Economics: theory of games and economic behaviour. Part 6 Computers: on the principles of large scale computing machines, H. Goldstine. Part 7 Science and society: the mathematician; methods in the physical sciences; the role of mathematics in the sciences and in society. (Part Contents).