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Für 1994 wurde Zürich die Durchführung des Internationalen Mathematiker Kongresses anvertraut. Zürich ist damit der bisher einzige Ort, an dem diese Veranstaltung nach 1897 und 1932 bereits zum dritten Mal stattfinden kann. Dies ist kaum zufällig, denn das Fachgebiet Mathematik in Zürich war seit der Gründung der Universität und der Eidgenössischen Technischen Hochschule um die Mitte des 19. Jahrhunderts immer durch bedeutende Persönlichkeiten vertreten. Das vorliegende Buch gibt einen Überblick über die Entwicklung der Mathematik an den beiden Zürcher Hochschulen bis in die sechziger Jahre dieses Jahrhunderts hinein, wobei die personellen Aspekte im Vordergrund stehen. Der Text wird von vielen Abbildungen, darunter Porträts der meisten Mathematiker, die in Zürich tätig gewesen sind, illustriert.
This book includes twenty-three essays that celebrate the 100th anniversary of the Swiss Mathematical Society. The life and work of outstanding mathematicians, extraordinary conferences held in Switzerland, such as the three International Congresses of Mathematicians, and the influence of women in Swiss mathematics are among the topics. The articles, which include many photographs, give a vivid picture of 100 years of mathematical life in Switzerland.
As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.
Finsler's papers on set theory are presented, here for the first time in English translation, in three parts, and each is preceded by an introduction to the field written by the editors. In the philosophical part of his work Finsler develops his approach to the paradoxes, his attitude toward formalized theories and his defense of Platonism in mathematics. He insisted on the existence of a conceptual realm within mathematics that transcends formal systems. From the foundational point of view, Finsler's set theory contains a strengthened criterion for set identity and a coinductive specification of the universe of sets. The notion of the class of circle free sets introduced by Finsler is poten...
Elemente der Mathematik (EL) publishes survey articles about important developments in the field of mathematics; stimulating shorter communications that tackle more specialized questions; and papers that report on the latest advances in mathematics and applications in other disciplines. The journal does not focus on basic research. Rather, its articles seek to convey to a wide circle of readers - teachers, students, engineers, professionals in industry and administration - the relevance, intellectual challenge and vitality of mathematics today. The Problems Section, covering a diverse range of exercises of varying degrees of difficulty, encourages an active grappling with mathematical problems.
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).
Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call "modern algebra" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on functional equations to Alexandre Grothendieck's mid-twentieth-century metaphor of a ``rising sea'' in...
Staatsbibliothek zu Berlin - Preußischer Kulturbesitz, ; Walravens, Hartmut; Olejniczak, Ursula; Schmiedecke, Käthe: Internationale Bibliographie der Bibliographien 1959-1988 (IBB). Personennamenregister / A - Günther.
PROBLEM. The treatise is devoted to the reconstruction of our 'instinctive beliefs' in classical mechanics and to present them 'as much isolated and as free from irrelevant additions as possible'. The same motivation has driven many authors since the publication of Newton's Principia. IMPORTANCE. Classical mechanics will remain the basic reference and tool for mechanics on terrestrial and planetary scale as well as the proto-theory of relativistic and quantum mechanics. But it can only serve its purpose if it is not considered as obsolete, but if its foundations and implications are understood and made 'absolutely' clear. METHOD. Based on the 'instinctive belief' that the foundations of clas...
Anliegen dieses Buches ist es, dem Leser in einer allgemein verständlichen Form die faszinierende Vielfalt der Kristallwelt aufzuzeigen. Im einleitenden Teil werden einerseits die Zusammenhänge zwischen natürlichen Kristallen, Mineralen und Gesteinen und andererseits das Auftreten von natürlichen und künstlichen Kristallen in Natur und Technik beschrieben. Ein kurzer historischer Abriss führt von den Anfängen der Entdeckung der Kristalle bis hin zur Entwicklung der Kristallographie als eigenständige Wissenschaft. Es wird anschaulich erläutert, wie Kristalle aufgebaut sind und wie die Kristalleigenschaften durch die strukturelle Symmetrie und durch die vorhandenen Kristallbaufehler b...