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Journal Für Die Reine Und Angewandte Mathematik
BAND 745 · DEZEMBER 2018 Journal für die reine und angewandte Mathematik (Crelles Journal) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON Carl Wilhelm Borchardt ∙ Karl Weierstrass ∙ Leopold Kronecker Lazarus Fuchs ∙ Kurt Hensel ∙ Ludwig Schlesinger ∙ Helmut Hasse Hans Rohrbach ∙ Martin Kneser ∙ Peter Roquette GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding, Cambridge MA ∙ Jun-Muk Hwang, Seoul Daniel Huybrechts, Bonn ∙ Rainer Weissauer, Heidelberg Geordie Williamson, Sydney JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK (CRELLES JOURNAL) GEGRÜNDET 1826 VON August Leopold Crelle FORTGEFÜHRT VON August Leopold Crelle (1826–1855) Peter Roquette (1977–1998) Carl Wilhelm Borchardt (1857–1881) Samuel J. Patterson (1982–1994) Karl Weierstrass (1881–1888) Michael Schneider (1984–1995) Leopold Kronecker (1881–1892) Simon Donaldson (1986–2004) Lazarus Fuchs (1892–1902) Karl Rubin (1994–2001) Kurt Hensel (1903–1936) Joachim Cuntz (1994–2017) Ludwig Schlesinger (1929–1933) David Masser (1995–2004) Helmut Hasse (1929–1980) Gerhard Huisken (1995–2008) Hans Rohrbach (1952–1977) Eckart Viehweg (1996–2009) Otto Forster (1977–1984) Wulf-Dieter Geyer (1998–2001) Martin Kneser (1977–1991) Yuri I. Manin (2002–2008) Willi Jäger (1977–1994) Paul Vojta (2004–2011) Horst Leptin (1977–1995) Marc Levine (2009–2012) GEGENWÄRTIG HERAUSGEGEBEN VON Tobias H. Colding Jun-Muk Hwang Daniel Huybrechts Rainer Weissauer Geordie Williamson AUSGABEDATUM DES BANDES 745 Dezember 2018 CONTENTS O. Goertsches, D. Töben, Equivariant basic cohomology of Riemannian foliations . 1 N. A. Karpenko, A. S. Merkurjev, Motivic decomposition of compactifications of certain group varieties . 41 T. Ritter, A soft Oka principle for proper holomorphic embeddings of open Riemann surfaces into ( *)2 . 59 J. Alper, A. Isaev, Associated forms and hypersurface singularities: The binary case . -
Testzentren Landkreis Leipzig Stand 17.05.2021
Testzentren Landkreis Leipzig Stand 17.05.2021 Zu den genannten Einrichtungen bieten auch Ärzte die Tests an Name der Einrichtung Standort / Gebiet Versorgungsform Öffnungszeiten TmH Transport mit Telefonische Terminvereinbarung mobil Sonstiges Herz,Hauptstr. 66 unter 034345 55751 Kerstin 04668 Otterwisch Engelmann DRK Kreisverband Terminvergabe: mobil Sonstiges Muldental e.V. www.drkmuldental.de/schnelltest Standorte Walther-Rathenau-Str. oder 0174 5499100 oder 0174 Nerchau, 1, 04808 Wurzen 5399163 Dürrweitzschen, Mutzschen, Großbardau, Großbothen lola-Aquarium Netto-Markt 9-17 Uhr mobil Sonstiges Ostenstr. 9 Montag: Carsdorfer Str. 8 Pegau Netto-Märkte in 08527 Plauen Dienstag: Schusterstr. 6 Groitzsch Pegau, Mittwoch / Freitag: Groitzsch und Pawlowstr. 2a Borna Borna Donnerstag: Deutzener Str. 7 Borna Löwen Apotheke Termine ww.apo-hultsch.de oder Bad Lausick Apotheke Straße der Einheit 10 034345/22352 04651 Bad Lausick Pflegedienst Kühn Mo - Fr von 13 - 14:30 Uhr, So von Bad Lausick amb. PD GmbH, Str. der Einheit 8 - 15 Uhr Terminvergabe: 4, 04651 Bad Lausick www.pflegedienst-kuehn.de DRK-Kreisverband Kur- und Freizeitbad Riff Bad Lausick Geithain e.V. Am Riff 3, 04651 Bad Lausick Kreisgeschäftsstelle Dresdener Str. 33 b Mo / Mi / Do 9 – 11 Uhr 04643 Geithain Di / Fr 16 – 18 Uhr Häusliche Kranken- und Mittwoch 9 - 15 Uhr Bad Lausick Sonstiges Altenpflege Dorothea Petzold GmbH, Fabianstr. 6 04651 Bad Lausick DRK-Kreisverband Kur- und Freizeitbad Riff Bad Lausick Hilforga- Geithain e.V. Am Riff 3, 04651 Bad Lausick nisation Kreisgeschäftsstelle Mo / Mi / Do 9 – 11 Uhr Dresdener Str. 33 b Di / Fr 16 – 18 Uhr 04643 Geithain DRK WPS im Muldental DRK Pflegedienst Bennewitz Bennewitz Sonstiges GmbH, Pflegedienst Leipziger Str. -
Klinik Bad Lausick
Besonders wohlfühlen... Besonders wohlfühlen... ............................. Thermal-Kurort BadBad LausickLausick 2020 Besonders wohlfühlen – Willkommen in Bad Lausick Wir sind gern für Sie da. Kur- und Touristinformation Bad Lausick Sie finden uns im Stadtzentrum in der Nähe des Rathauses. Öffnungszeiten: Montag – Freitag 8.30 – 13.00 Uhr und 14.00 – 17.00 Uhr nicht an Feiertagen Kur- und Touristinformation der BBK GmbH Bad Lausick Straße der Einheit 17 04651 Bad Lausick Tel. 03 43 45 - 529 53 Fax. 03 43 45 -2 24 66 [email protected] www.bad-lausick.de Wir informieren und beraten Sie gern über Bad Lausick und die Region. Unser Serviceangebot: • Prospektservice • Kostenfreies Informationsmaterial über Bad Lausick und die Region • Vermittlung von Unterkünften in Bad Lausick • Buchung von Pauschalangeboten z.B. Wellnessurlaub • Shop: Verkauf von Ansichtskarten, Rad-/ Wanderkarten, Literatur, Souvenirs und regionalen Produkten • Ticketverkauf über Ticketgalerie und für Veranstaltungen u.a. in Bad Lausick und Colditz • Verkauf der Leipzig Regio Card und Bahnfahrkarten nach Leipzig • Organisation von geführten thematischen Touren Servicebereich barrierefrei Bad Lausick – Kurstadt mit Tradition Mit der vor Ihnen liegenden Broschüre erhalten Sie einen Einblick in die Vielfalt unserer Angebote von Historie, Kultur bis hin zu den verschiedensten Sport- und Freizeitmöglichkeiten. Lassen Sie sich auf den folgenden Seiten überraschen. Viel Freude beim Lesen. Wir wünschen Ihnen einen angenehmen Aufenthalt und fühlen Sie sich in Bad Lausick besonders -
Ricci, Levi-Civita, and the Birth of General Relativity Reviewed by David E
BOOK REVIEW Einstein’s Italian Mathematicians: Ricci, Levi-Civita, and the Birth of General Relativity Reviewed by David E. Rowe Einstein’s Italian modern Italy. Nor does the author shy away from topics Mathematicians: like how Ricci developed his absolute differential calculus Ricci, Levi-Civita, and the as a generalization of E. B. Christoffel’s (1829–1900) work Birth of General Relativity on quadratic differential forms or why it served as a key By Judith R. Goodstein tool for Einstein in his efforts to generalize the special theory of relativity in order to incorporate gravitation. In This delightful little book re- like manner, she describes how Levi-Civita was able to sulted from the author’s long- give a clear geometric interpretation of curvature effects standing enchantment with Tul- in Einstein’s theory by appealing to his concept of parallel lio Levi-Civita (1873–1941), his displacement of vectors (see below). For these and other mentor Gregorio Ricci Curbastro topics, Goodstein draws on and cites a great deal of the (1853–1925), and the special AMS, 2018, 211 pp. 211 AMS, 2018, vast secondary literature produced in recent decades by the world that these and other Ital- “Einstein industry,” in particular the ongoing project that ian mathematicians occupied and helped to shape. The has produced the first 15 volumes of The Collected Papers importance of their work for Einstein’s general theory of of Albert Einstein [CPAE 1–15, 1987–2018]. relativity is one of the more celebrated topics in the history Her account proceeds in three parts spread out over of modern mathematical physics; this is told, for example, twelve chapters, the first seven of which cover episodes in [Pais 1982], the standard biography of Einstein. -
Testzentren Landkreis Leipzig Stand 07.05.2021
Testzentren Landkreis Leipzig Stand 07.05.2021 Zu den genannten Einrichtungen bieten auch Ärzte die Tests an Name der Einrichtung Standort / Gebiet Versorgungsform Öffnungszeiten TmH Transport mit Telefonische Terminvereinbarung mobil Sonstiges Herz,Hauptstr. 66 unter 034345 55751 Kerstin 04668 Otterwisch Engelmann DRK Kreisverband Terminvergabe: mobil Sonstiges Muldental e.V. www.drkmuldental.de/schnelltest Standorte Walther-Rathenau-Str. oder 0174 5499100 oder 0174 Nerchau, 1, 04808 Wurzen 5399163 Dürrweitzschen, Mutzschen, Großbardau, Großbothen lola-Aquarium Netto-Markt 9-17 Uhr mobil Sonstiges Ostenstr. 9 Montag: Carsdorfer Str. 8 Pegau Netto-Märkte in 08527 Plauen Dienstag: Schusterstr. 6 Groitzsch Pegau, Mittwoch / Freitag: Groitzsch und Pawlowstr. 2a Borna Borna Donnerstag: Deutzener Str. 7 Borna Löwen Apotheke Termine ww.apo-hultsch.de oder Bad Lausick Apotheke Straße der Einheit 10 034345/22352 04651 Bad Lausick Pflegedienst Kühn Mo - Fr von 13 - 14:30 Uhr, So von Bad Lausick amb. PD GmbH, Str. der Einheit 8 - 15 Uhr Terminvergabe: 4, 04651 Bad Lausick www.pflegedienst-kuehn.de DRK-Kreisverband Kur- und Freizeitbad Riff Bad Lausick Geithain e.V. Am Riff 3, 04651 Bad Lausick Kreisgeschäftsstelle Dresdener Str. 33 b Mo / Mi / Do 9 – 11 Uhr 04643 Geithain Di / Fr 16 – 18 Uhr Häusliche Kranken- Mittwoch 9 - 15 Uhr Bad Lausick Sonstiges und Altenpflege Dorothea Petzold GmbH, Fabianstr. 6 04651 Bad Lausick DRK-Kreisverband Kur- und Freizeitbad Riff Bad Lausick Hilforga- Geithain e.V. Am Riff 3, 04651 Bad Lausick nisation Kreisgeschäftsstelle Mo / Mi / Do 9 – 11 Uhr Dresdener Str. 33 b Di / Fr 16 – 18 Uhr 04643 Geithain DRK WPS im DRK Pflegedienst Bennewitz Bennewitz Sonstiges Muldental GmbH, Leipziger Str. -
Bfm:978-1-4612-2582-9/1.Pdf
Progress in Mathematics Volume 131 Series Editors Hyman Bass Joseph Oesterle Alan Weinstein Functional Analysis on the Eve of the 21st Century Volume I In Honor of the Eightieth Birthday of I. M. Gelfand Simon Gindikin James Lepowsky Robert L. Wilson Editors Birkhauser Boston • Basel • Berlin Simon Gindikin James Lepowsky Department of Mathematics Department of Mathematics Rutgers University Rutgers University New Brunswick, NJ 08903 New Brunswick, NJ 08903 Robert L. Wilson Department of Mathematics Rutgers University New Brunswick, NJ 08903 Library of Congress Cataloging-in-Publication Data Functional analysis on the eve of the 21 st century in honor of the 80th birthday 0fI. M. Gelfand I [edited) by S. Gindikin, 1. Lepowsky, R. Wilson. p. cm. -- (Progress in mathematics ; vol. 131) Includes bibliographical references. ISBN-13:978-1-4612-7590-9 e-ISBN-13:978-1-4612-2582-9 DOl: 10.1007/978-1-4612-2582-9 1. Functional analysis. I. Gel'fand, I. M. (lzraU' Moiseevich) II. Gindikin, S. G. (Semen Grigor'evich) III. Lepowsky, J. (James) IV. Wilson, R. (Robert), 1946- . V. Series: Progress in mathematics (Boston, Mass.) ; vol. 131. QA321.F856 1995 95-20760 515'.7--dc20 CIP Printed on acid-free paper d»® Birkhiiuser ltGD © 1995 Birkhliuser Boston Softcover reprint of the hardcover 1st edition 1995 Copyright is not claimed for works of u.s. Government employees. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without prior permission of the copyright owner. -
The Birth of Hyperbolic Geometry Carl Friederich Gauss
The Birth of Hyperbolic Geometry Carl Friederich Gauss • There is some evidence to suggest that Gauss began studying the problem of the fifth postulate as early as 1789, when he was 12. We know in letters that he had done substantial work of the course of many years: Carl Friederich Gauss • “On the supposition that Euclidean geometry is not valid, it is easy to show that similar figures do not exist; in that case, the angles of an equilateral triangle vary with the side in which I see no absurdity at all. The angle is a function of the side and the sides are functions of the angle, a function which, of course, at the same time involves a constant length. It seems somewhat of a paradox to say that a constant length could be given a priori as it were, but in this again I see nothing inconsistent. Indeed it would be desirable that Euclidean geometry were not valid, for then we should possess a general a priori standard of measure.“ – Letter to Gerling, 1816 Carl Friederich Gauss • "I am convinced more and more that the necessary truth of our geometry cannot be demonstrated, at least not by the human intellect to the human understanding. Perhaps in another world, we may gain other insights into the nature of space which at present are unattainable to us. Until then we must consider geometry as of equal rank not with arithmetic, which is purely a priori, but with mechanics.“ –Letter to Olbers, 1817 Carl Friederich Gauss • " There is no doubt that it can be rigorously established that the sum of the angles of a rectilinear triangle cannot exceed 180°. -
Twenty Female Mathematicians Hollis Williams
Twenty Female Mathematicians Hollis Williams Acknowledgements The author would like to thank Alba Carballo González for support and encouragement. 1 Table of Contents Sofia Kovalevskaya ................................................................................................................................. 4 Emmy Noether ..................................................................................................................................... 16 Mary Cartwright ................................................................................................................................... 26 Julia Robinson ....................................................................................................................................... 36 Olga Ladyzhenskaya ............................................................................................................................. 46 Yvonne Choquet-Bruhat ....................................................................................................................... 56 Olga Oleinik .......................................................................................................................................... 67 Charlotte Fischer .................................................................................................................................. 77 Karen Uhlenbeck .................................................................................................................................. 87 Krystyna Kuperberg ............................................................................................................................. -
Bart, Hempfling, Kaashoek. (Eds.) Israel Gohberg and Friends.. on The
Israel Gohberg and Friends On the Occasion of his 80th Birthday Harm Bart Thomas Hempfling Marinus A. Kaashoek Editors Birkhäuser Basel · Boston · Berlin Editors: Harm Bart Marinus A. Kaashoek Econometrisch Instituut Department of Mathematics, FEW Erasmus Universiteit Rotterdam Vrije Universiteit Postbus 1738 De Boelelaan 1081A 3000 DR Rotterdam 1081 HV Amsterdam The Netherlands The Netherlands e-mail: [email protected] e-mail: [email protected] Thomas Hempfling Editorial Department Mathematics Birkhäuser Publishing Ltd. P.O. Box 133 4010 Basel Switzerland e-mail: thomas.hempfl[email protected] Library of Congress Control Number: 2008927170 Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at <http://dnb.ddb.de>. ISBN 978-3-7643-8733-4 Birkhäuser Verlag, Basel – Boston – Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use permission of the copyright owner must be obtained. © 2008 Birkhäuser Verlag AG Basel · Boston · Berlin P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced of chlorine-free pulp. TCF ∞ Printed in Germany ISBN 978-3-7643-8733-4 e-ISBN 978-3-7643-8734-1 9 8 7 6 5 4 3 2 1 www.birkhauser.ch Contents Preface.......................................................................ix CongratulationsfromthePublisher...........................................xii PartI.MathematicalandPhilosophical-MathematicalTales...................1 I. -
Chapter 4 X.Pdf
CHAPTER 4 ANALYSIS OF THE GOVERNING EQUATIONS 4.1 INTRODUCTION The mathematical nature of the systems of governing equations deduced in Chapters 2 and 3 is investigated in this chapter. The systems of PDEs that express the quasi-equilibrium approximation are studied in greater depth. The analysis is especially important for the systems whose solutions are likely to feature discontinuities, as a result of strong gradients growing steeper, or because the initial data is already discontinuous. The geomorphic shallow-water flows, such as the dam-break flow considered in Chapter 3, are the paradigmatic example of flows for which discontinuities arise fundamentally because of the initial conditions. Laboratory experiments show that, in the first instants of a sudden collapse of a dam, vertical accelerations are strong and a bore is formed, either through the breaking of a wave (Stansby et al. 1998) or due to the incorporation of bed material (Capart 2000, Leal et al. 2002). Intense erosion occurs in the vicinity of the dam and a highly saturated wave front is likely to form at ttt≡≈0 4 , thg00= , where h0 is the initial water depth in the reservoir. The saturated wave front can be seen forming in figure 3.1(a). Unlike the debris flow resulting from avalanches or lahars, the saturated front is followed by a sheet-flow similar to that 303 encountered in surf or swash zones (Asano 1995), as seen in figures 3.2(b) and (c). The intensity of the sediment transport decreases in the upstream direction as the flow velocities approach fluvial values. -
Fuchs, Lazarus
UNIVERSITATS-¨ Heidelberger Texte zur BIBLIOTHEK HEIDELBERG Mathematikgeschichte Fuchs, Lazarus (5.5.1833 – 16.4.1902) Materialsammlung, zusammengestellt von Gabriele D¨orflinger Universit¨atsbibliothek Heidelberg 2016 Homo Heidelbergensis mathematicus Die Sammlung Homo Heidelbergensis mathematicus enth¨alt Materialien zu bekannten Mathematikern mit Bezug zu Heidelberg, d.h. Mathematiker, die in Heidelberg lebten, studierten oder lehrten oder Mitglieder der Heidelberger Akademie der Wissenschaften waren. (Immanuel) Lazarus Fuchs Dozent in Heidelberg 1875–1884 Lazarus Fuchs schrieb im Jahre 1886 aus Berlin an seinen Freund Leo Koenigsberger: Ich kann Dir die Versicherung geben, daß ich noch jetzt ” fast t¨aglich mit einem gewissen Heimweh an Heidelberg zuruckdenke.¨ Wo ist die sch¨one Zeit hin, wo ich noch in der Lage war, ruhig zu arbeiten, ruhig einen Gedan- kenfaden fur¨ l¨angere Zeit abzuspinnen! Wo soll ich jetzt meine Grillen lassen, die ich sonst in alle Winde zerstreu- en konnte, wenn ich die ersten 1000 Fuß H¨ohe passirt hatte!“ Quelle: Koenigsberger, Leo: Mein Leben. — Heidelberg, 1919. — 217 S. Auszug I Anhang A 2 Inhaltsverzeichnis 1 Lexika 4 Mathematiker-Lexikon . 4 Lexikon bedeutender Mathematiker . 4 Brockhaus . 4 Deutsche biographische Enzyklop¨adie . 4 Heidelberger Gelehrtenlexikon . 5 2 Biographische Informationen 6 2.1 WWW-Biographien . 6 2.2 Fotografien . 10 2.3 Hauptstr. 23 — Fuchs’ Domizil in Heidelberg . 11 2.4 Der Mathematiker Lazarus Fuchs in Berlin . 12 2.5 Print-Biographien . 16 3 Werk 17 3.1 Digitalisierte Publikationen . 17 3.1.1 G¨ottinger Digitalisierungs-Zentrum / Beitr¨age von Lazarus Fuchs 17 3.1.2 Berlin-Brandenburgische Akademie der Wissenschaften . 20 3.1.3 Heidelberger Digitale Bibliothek Mathematik . -
Classics in Mathematics Richard Courant· Fritz John Introduction To
Classics in Mathematics Richard Courant· Fritz John Introduction to Calculus and Analysis Volume I Springer-V erlag Berlin Heidelberg GmbH Richard Courant • Fritz John Introd uction to Calculus and Analysis Volume I Reprint of the 1989 Edition Springer Originally published in 1965 by Interscience Publishers, a division of John Wiley and Sons, Inc. Reprinted in 1989 by Springer-Verlag New York, Inc. Mathematics Subject Classification (1991): 26-XX, 26-01 Cataloging in Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Courant, Richard: Introduction to calcu1us and analysis / Richard Courant; Fritz John.- Reprint of the 1989 ed.- Berlin; Heidelberg; New York; Barcelona; Hong Kong; London; Milan; Paris; Singapore; Tokyo: Springer (Classics in mathematics) VoL 1 (1999) ISBN 978-3-540-65058-4 ISBN 978-3-642-58604-0 (eBook) DOI 10.1007/978-3-642-58604-0 Photograph of Richard Courant from: C. Reid, Courant in Gottingen and New York. The Story of an Improbable Mathematician, Springer New York, 1976 Photograph of Fritz John by kind permission of The Courant Institute of Mathematical Sciences, New York ISSN 1431-0821 This work is subject to copyright. All rights are reserved. whether the whole or part of the material is concemed. specifically the rights of trans1ation. reprinting. reuse of illustrations. recitation. broadcasting. reproduction on microfilm or in any other way. and storage in data banks. Duplication of this publication or parts thereof is permitted onlyunder the provisions of the German Copyright Law of September 9.1965. in its current version. and permission for use must always be obtained from Springer-Verlag. Violations are Iiable for prosecution under the German Copyright Law.