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Author: Peter Roquette
Publisher:
ISBN:
Category : Algebra
Languages : de
Pages : 506
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Book Description
Author: Peter Roquette
Publisher:
ISBN:
Category : Algebra
Languages : de
Pages : 506
Get Book Here
Book Description
Author: Peter Roquette
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Peter Roquette
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 534
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Book Description
Author: Peter Roquette
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Peter Roquette
Publisher: Springer
ISBN: 3319990675
Category : Mathematics
Languages : en
Pages : 235
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Book Description
This book tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948. The main sources are letters which were exchanged among the protagonists during that time, found in various archives, mostly the University Library in Göttingen. The aim is to show how the ideas formed, and how the proper notions and proofs were found, providing a particularly well-documented illustration of how mathematics develops in general. The book is written for mathematicians, but it does not require any special knowledge of particular mathematical fields.
Author: Kurt Gödel
Publisher: Clarendon Press
ISBN: 0191003778
Category : Mathematics
Languages : en
Pages : 691
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Book Description
Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past. The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Gödel's Nachlass. All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Gödel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 502
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Book Description
Author: Peter Roquette
Publisher:
ISBN: 9780889118683
Category :
Languages : de
Pages :
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 804
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Book Description
Author: Peter Roquette
Publisher: Springer Science & Business Media
ISBN: 3540269681
Category : Mathematics
Languages : en
Pages : 92
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Book Description
The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Göttingen. Hasse had an extensive correspondence; he liked to exchange mathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although not all of them are of equal mathematical interest, searching through this treasure can help us to assess the development of Number Theory through the 1920s and 1930s. The present volume is largely based on the letters and other documents its author has found concerning the Brauer-Hasse-Noether Theorem in the theory of algebras; this covers the years around 1931. In addition to the documents from the literary estates of Hasse and Brauer in Göttingen, the author also makes use of some letters from Emmy Noether to Richard Brauer that are preserved at the Bryn Mawr College Library (Pennsylvania, USA).
