WorldCat Identities

Scharlau, Winfried

Overview
Works: 45 works in 215 publications in 3 languages and 2,753 library holdings
Genres: History  Conference papers and proceedings  Records and correspondence  Sources  Biography 
Roles: Author, Editor, Other, Contributor
Classifications: QA241, 512.944
Publication Timeline
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Most widely held works by Winfried Scharlau
From Fermat to Minkowski : lectures on the theory of numbers and its historical development by Winfried Scharlau( Book )

34 editions published between 1980 and 2010 in 3 languages and held by 765 WorldCat member libraries worldwide

This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in number-theoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives
Quadratic and Hermitian forms by Winfried Scharlau( Book )

15 editions published between 1984 and 2012 in English and Undetermined and held by 477 WorldCat member libraries worldwide

For a long time - at least from Fermat to Minkowski - the theory of quadratic forms was a part of number theory. Much of the best work of the great number theorists of the eighteenth and nineteenth century was concerned with problems about quadratic forms. On the basis of their work, Minkowski, Siegel, Hasse, Eichler and many others crea ted the impressive "arithmetic" theory of quadratic forms, which has been the object of the well-known books by Bachmann (1898/1923), Eichler (1952), and O'Meara (1963). Parallel to this development the ideas of abstract algebra and abstract linear algebra introduced by Dedekind, Frobenius, E. Noether and Artin led to today's structural mathematics with its emphasis on classification problems and general structure theorems. On the basis of both - the number theory of quadratic forms and the ideas of modern algebra - Witt opened, in 1937, a new chapter in the theory of quadratic forms. His most fruitful idea was to consider not single "individual" quadratic forms but rather the entity of all forms over a fixed ground field and to construct from this an algebra ic object. This object - the Witt ring - then became the principal object of the entire theory. Thirty years later Pfister demonstrated the significance of this approach by his celebrated structure theorems
Algebraic theory of quadratic forms : generic methods and Pfister forms by Manfred Knebusch( Book )

13 editions published in 1980 in English and Undetermined and held by 266 WorldCat member libraries worldwide

Quadratic forms by Winfried Scharlau( Book )

9 editions published between 1969 and 1970 in English and Undetermined and held by 228 WorldCat member libraries worldwide

Einführung in die Funktionalanalysis by Friedrich Hirzebruch( Book )

28 editions published between 1971 and 1996 in German and Undetermined and held by 212 WorldCat member libraries worldwide

Schulwissen Mathematik : ein Überblick ; was ein Studienanfänger von der Mathematik wissen sollte by Winfried Scharlau( Book )

11 editions published between 1994 and 2010 in German and held by 178 WorldCat member libraries worldwide

Dieses Buch fasst in knapper Form zusammen, was ein Student von der Schule her an Wissen mitbringen muss, um mit einem Studium, in dem man Mathematik braucht (Natur- und Wirtschaftswissenschaften oder auch Ingenieurstudiengänge), beginnen zu können. Zahlen und Rechnen mit Zahlen - Rechnen mit Buchstaben - Die quadratische Gleichung - Grundbegriffe der Mengenlehre - Geometrische Grundbegriffe - Kongruenz, Ähnlichkeit, Strahlensatz - Geometrie des Dreiecks - Das rechtwinklige Dreieck - Geometrische Figuren im Raum - Analytische Geometrie der Ebene - Geraden in der Ebene - Kegelschnitte. Kurven zweiten Grades - Analytische Geometrie des Raumes - Lineare Gleichungen - Grundbegriffe der Kombinatorik - Funktionen - Grundbegriffe der Differential- und Integralrechnung - Die elementaren Funktionen - Was ist ein mathematischer Satz und ein mathematischer Beweis? - Überblick: Geschichte der Mathematik - Studienanfänger Mathematik - Schüler(innen) der Oberstufe - Interessierte Laien Prof. Dr. Winfried Scharlau, Mathematisches Institut der Universität Münster
Richard Dedekind, 1831-1981 : eine Würdigung zu seinem 150. Geburtstag by Winfried Scharlau( Book )

7 editions published in 1981 in German and Undetermined and held by 138 WorldCat member libraries worldwide

Mathematische Institute in Deutschland 1800-1945 by Winfried Scharlau( Book )

8 editions published between 1989 and 1990 in 3 languages and held by 98 WorldCat member libraries worldwide

Briefwechsel mit Cantor, Dedekind, Helmholtz, Kronecker, Weierstrass und anderen by Rudolf Lipschitz( Book )

7 editions published in 1986 in German and held by 91 WorldCat member libraries worldwide

Mathematik in Biologie und Geowissenschaften by Winfried Scharlau( Book )

2 editions published in 2000 in German and held by 27 WorldCat member libraries worldwide

Differentiable manifolds and quadratic forms by Friedrich Hirzebruch( Book )

7 editions published between 1971 and 1992 in English and held by 21 WorldCat member libraries worldwide

Wer ist Alexander Grothendieck? : Anarchie, Mathematik, Spiritualität ; eine Biographie by Winfried Scharlau( Book )

13 editions published between 2007 and 2013 in German and held by 18 WorldCat member libraries worldwide

Mathematik für Naturwissenschaftler : [Stochastik für Lehramtsstudenten] by Winfried Scharlau( Book )

2 editions published in 2005 in German and Undetermined and held by 17 WorldCat member libraries worldwide

Wer ist Alexander Grothendieck? Oberwolfach lecture 2006 by Winfried Scharlau( )

2 editions published in 2007 in German and held by 16 WorldCat member libraries worldwide

Who is Alexander Grothendieck? : anarchy, mathematics, spirituality, solitude : a biography by Winfried Scharlau( Book )

3 editions published in 2011 in English and held by 15 WorldCat member libraries worldwide

The cohomological theory of quadratic forms by Winfried Scharlau( Book )

4 editions published between 1965 and 1970 in English and held by 14 WorldCat member libraries worldwide

Conference on Quadratic Forms, 1976 by T. Y Lam( Book )

1 edition published in 1977 in English and held by 14 WorldCat member libraries worldwide

Wer ist Alexander Grothendieck? : Anarchie, Mathematik, Spiritualität; eine Biographie by Winfried Scharlau( Book )

8 editions published between 2010 and 2013 in German and held by 12 WorldCat member libraries worldwide

Wer ist Alexander Grothendieck? : Anarchie, Mathematik, Spiritualität, Einsamkeit : eine Biographie by Winfried Scharlau( Book )

in German and Undetermined and held by 8 WorldCat member libraries worldwide

Funktional-Analysis by Friedrich Hirzebruch( Book )

in German and held by 7 WorldCat member libraries worldwide

 
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From Fermat to Minkowski : lectures on the theory of numbers and its historical development
Alternative Names
Scharlau-Opolka, ... 1940-

Scharlau, W.

Scharlau, W. 1940-

Scharlau, Windfried 1940-

Scharlau, Winfried

Winfried Scharlau deutscher Mathematiker

Winfried Scharlau Duits wiskundige

Winfried Scharlau German mathematician and historian of mathematics

シャーラウ, W

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Einführung in die Funktionalanalysis