1. Reidemeister Kurt Werner Friedrick Reidemeister. Born Kurt Reidemeister was examinedas a student by Landau and became an assistant of Hecke. His http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Reidemeister.html

Kurt Werner Friedrick Reidemeister Born: 13 Oct 1893 in Brunswick, Germany Died: Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Kurt Reidemeister was examined as a student by Landau and became an assistant of Hecke . His doctoral thesis was on algebraic number theory , the particular problem having been suggested by Hecke , and the resulting publication appeared in 1921. In [4] it is noted that:- Of all of the papers listed in Reidemeister's obituary by Artzy , this is the only one which deals with number theory . It rarely happens that a highly productive mathematician deserts the field of his PhD thesis so consistently later on. Immediately he had written his doctoral thesis, Reidemeister became interested in differential geometry . It was Blaschke who came up with the particular problems in differential geometry on which Reidemeister began to work. On Hahn 's recommendation, Reidemeister was appointed as associate professor of geometry at the University of Vienna in 1923. Here he became a colleague of Wirtinger who interested Reidemeister in knot theory . In particular Wirtinger showed Reidemeister how to compute the fundamental group of a knot from its projection. This method, originally due to

2. References For Reidemeister References for kurt reidemeister. F Bachmann, W Franz and H Behnke, InMemoriam kurt reidemeister, Mathematische Annalen 199 (1972), 111. http://www-gap.dcs.st-and.ac.uk/~history/References/Reidemeister.html

References for Kurt Reidemeister Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: R Artzy, Kurt Reidemeister, (13.10.1893- 8.7.1971), Jahresberichte der Deutschen Mathematiker vereinigung F Bachmann, W Franz and H Behnke, In Memoriam Kurt Reidemeister, Mathematische Annalen B Chandler and W Magnus, The History of Combinatorial Group Theory: A Case Study in the History of Ideas (New York - Heidelberg - Berlin, 1982), 91-92. H-C Reichel, Kurt Reidemeister (1893 bis 1971) als Mathematiker und Philosoph-ein "Meilenstein" in der Entwicklung der Topologie, der Geometrie und der Philosophie dieses Jahrhunderts, Osterreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR January 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Reidemeister.html

3. Théorie Des Fonctions Analytique, ~ LAGRANGE, J[oseph]. L[ouis]. patrick@rarevols.co.uk. reidemeister, kurt. Das exacte Denken der Griechen. http://www.rarevols.co.uk/pages/00000225.htm

'Moorview' Plymouth Road South Brent DEVON TQ10 9HT ENGLAND Tel: 01364 73457 Fax: 01364 72918 patrick@rarevols.co.uk LAGRANGE, J[oseph]. L[ouis]. Théorie des Fonctions Analytique, Contenant Les Principes du Calcul Différentiel, Dégagés de Toute Considération d'Infiniment Petits, d'Évanouissans, de Limites et de Fluxions, et Réduits a l'Analyse Algébrique des Quantités Finies; TROISIEME ÉDITION, Revue et Suivie d'Une Note. Par M. J.-A. SERRET. Description: pp. xii, 399, (i) blank. Contemporary morocco-backed boards, a little rubbing and foxing, otherwise a very good copy. Published: Bachelier. Paris. Date Published: 1847. Third edition. 4to. Stock #: Price: [ORDER]

4. Mathematische Fakultät Göttingen: Kurt Reidemeister reidemeister wurde am 13. Oktober 1893 in Braunschweig geboren. Er kam Anfang der zwanziger Jahre in Hamburg mit Blaschkes Differentialgeometrie in Berührung. http://www.math.uni-goettingen.de/Personen/Bedeutende_Mathematiker/reidemeister.

Mathematische Fakultät Georg-August-Universität Göttingen Updates: letztes: 20.02.2002 jp                                 [ verantwortlich zurück zur Fakultät Universität Kurt Reidemeister Reidemeister wurde am 13. Oktober 1893 in Braunschweig geboren. Er kam Anfang der zwanziger Jahre in Hamburg mit Blaschkes Differentialgeometrie in Berührung. Das sollte für sein späteres Leben bestimmend werden: die Geometrie wurde sein eigentliches mathematisches Forschungsgebiet. Seine Untersuchungen erstrecken sich auf die Grundlagen der Geometrie bis hin zur Topologie. Forschungsgegenstände waren hier vor allem die Knotentheorie, die kombinatorische Topologie, der Homotopiekettenring. Viele der behandelten Fragestellungen fanden bei den Topologen erst ein größeres Interesse in den sechziger Jahren, die wir heute als eine Zeit höchster Blüte in der Topologie ansehen. Die Reidemeistertorsion, die im Anschluß an die Arbeiten Reidemeisters gefunden wurde, spielte dabei eine wesentliche Rolle. Seine über die Mathematik hinausragenden philosophischen und allgemein literarischen Interessen hat Reidemeister nie verkümmern lassen. In Wien (1922 - 1925) trat er der logischen Schule, dem Wiener Kreis näher. Ihn interessierte vor allem das mathematische Denken, wie etwas in der Mathematik bewiesen wird und auch unsere geometrische Anschauung, die unsere Psychologen heute die visuelle Mannigfaltigkeit nennen. Er fand, daß nur die berandeten Körper anschaulich sind. Reidemeister lehrte 1925 - 1933 in Königsberg, wurde 1933 zunächst entlassen, dann 1934 als Nachfolger von Hensel nach Marburg berufen und war ab 1955 in Göttingen. Am 8. Juli 1971 ist er hier gestorben.

5. Reviews For Reidemeister This page is the home page of BCS Associates a small publishing company specializing in translations of classic mathematics texts and textbooks. This book is a 1983 translation of the 1932 celebrated book by kurt reidemeister. It is subdivided into three chapters. http://www.harbornet.com/bcsassociates/rev_rei.html

[Home ] Title List Tables of Contents and Reviews] Ordering Information Knot Theory Kurt Reidemeister Reviewed for Topology Atlas by Corinne Cerf KNOT THEORY by K. REIDEMEISTER. Originally published as KNOTENTHEORIE by K. REIDEMEISTER, Ergebnisse der Mathematik und ihrer Grenzgebiete, Alte Folge, Band 1, Heft 1, SPRINGER, Berlin, 1932. Translated from the German and edited by L. F. BORON, C. O. CHRISTENSON, and B. A. SMITH, BSC ASSOCIATES, Moscow, Idaho, U.S.A., 1983. This book is a 1983 translation of the 1932 celebrated book by Kurt Reidemeister. It is subdivided into three chapters. The first one is an introduction to knots and braids, including (a sketch of) the original proof that two knots are equivalent if and only if their projections are related by a finite sequence of the three so-called Reidemeister moves. The second chapter describes the main knot invariants obtainable from matrices, like linking numbers, torsion numbers, determinants, and L-polynomials, now called normalized Alexander polynomials, that have been discovered independently by Reidemeister and Alexander. The third chapter deals with knot groups: definition by generators and relations from a projection, invariance, equivalence with the fundamental group of the knot complement, calculation of the group of special families of knots. A group-theoretic interpretation of the matrices and L-polynomials of Chapter II is given.

6. SNM/DLA: Namenregister 'R' Nachlaßverzeichnis S157, W-16 reidemeister, kurt. C-14, K-71, S-136-1 reidemeister, Leopold http://www.dla-marbach.de/kallias/hyperkuss/r-reg.html

Schiller-Nationalmuseum/ Deutsches Literaturarchiv Startseite SNM/DLA Aktuelles Marbacher Institute Kataloge des Literaturarchivs ... Weiter ] [Anfang] [ Ende Register Suche Startseite ... Hilfe Namenregister (Buchstabe 'R') hervorgehobener Link Die Buchstaben-Nummern-Kombinationen (z.B. L-21) sind Bitte geben Sie bei Anfragen unbedingt auch den Namen Raabe, Bertha K-17 Raabe, Heinz siehe: Marcuse, Ludwig Raabe, Mechthild B-5 Raabe, Paul B-5 B-6 B-16 L-14 ... S-81 Raabe, Wilhelm B-30 B-52 B-52-1 C-23 ... S-112 Raben, Peer T-21 Rabenalt, Arthur Maria R-30 Rabiosus, Anselmus siehe: Wekhrlin, Wilhelm Ludwig Racine, Jean S-76 Z-12-1 Raczynski, Joseph Graf H-33 Rad, Gerhard von H-114 Rad, Luise von H-114 Radbruch, Gustav B-21 H-114 J-12 J-12-2 ... S-136-1 Radbruch, Lydia B-99 H-114 Raddatz, Carl Z-15 Raddatz, Fritz Joachim A-15 B-79 C-9 F-53 ... W-35 Rade, Martin L-24 Radecki, Anna-Margarete von R-3 Radecki, Eva von R-3 Radecki, Ottokar von R-3 Radecki, Sigismund von D-24 L-37 R-3 Radecki, Willi von R-3 Raden-Wunschmann, Lena W-12 Radetzky, Joseph Wenzel Graf G-46 Radio Bremen M-44 Radio, Maria von H-75 Radlauer, Curt

7. Vertriebene Rado, Richard (19061989). 71, 190. reidemeister, kurt (1893-1971). 73, 185 http://www.mathematik.uni-bielefeld.de/DMV/archiv/pinl.html

Kollegen in einer dunklen Zeit In den Jahresberichten der DMV zwischen 1969 und 1974 hat Max Pinl unter dem obigen Titel derjenigen Fachkollegen gedacht, die durch die Unmenschlichkeit des nationalsozialistischen Regimes ihre Heimat, ihre Stellung oder gar ihr Leben verloren haben. A B C D ... Z Alt, Frank (1910-) Artin, Emil (1898-1963) Baer, Reinhold (1902-1979) Barneck, Alfred (1885-1964) Basch, Alfred (1882-1958) Baule, Bernhard (1891-1976) Behrend, Felix (1911 - 1962) Bergmann, Gustav (1906- ) Bergmann, Peter (1915- ) Bergman, Stefan (1895-1977) Bernays, Paul (1888-1977) Bernstein, Felix (1878-1956) Bers, Lipman (1914-1993) Berwald, Ludwig (1883-1942) Blumenthal, Otto (1876-1944) Portr. bei S. 82 Bochner, Salomon (1899-1982) Brauer, Alfred (1894-1985) Brauer, Richard (1901-1977) Breuer, Samson (1891-) Busemann, Herbert (1905-) Caemmerer, Hanna von (1914-1971) Cohn-Vossen, Stefan (1902-1936) Courant, Richard (1888-1972) Dehn, Max (1878-1952) Portr. bei S. 182 Duschek, Adalbert (1895-1957) Eckhart, Ludwig (1890-1938) Einstein, Albert (1879-1955)

8. Reidemeister Biography of kurt reidemeister (18931971) kurt Werner Friedrick reidemeister. Born 13 Oct 1893 in Brunswick, Germany http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Reidemeister.html

Kurt Werner Friedrick Reidemeister Born: 13 Oct 1893 in Brunswick, Germany Died: Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Kurt Reidemeister was examined as a student by Landau and became an assistant of Hecke . His doctoral thesis was on algebraic number theory , the particular problem having been suggested by Hecke , and the resulting publication appeared in 1921. In [4] it is noted that:- Of all of the papers listed in Reidemeister's obituary by Artzy , this is the only one which deals with number theory . It rarely happens that a highly productive mathematician deserts the field of his PhD thesis so consistently later on. Immediately he had written his doctoral thesis, Reidemeister became interested in differential geometry . It was Blaschke who came up with the particular problems in differential geometry on which Reidemeister began to work. On Hahn 's recommendation, Reidemeister was appointed as associate professor of geometry at the University of Vienna in 1923. Here he became a colleague of Wirtinger who interested Reidemeister in knot theory . In particular Wirtinger showed Reidemeister how to compute the fundamental group of a knot from its projection. This method, originally due to

9. Patrick Pollak - Titles Index Translate this page Das exacte Denken der Griechen. reidemeister, kurt. Das Füllen derZähne mit Goldeinlagen. SMREKER, Ernst. Das Gehörorgan bei http://www.rarevols.co.uk/pages/titlidxd.htm

'Moorview' Plymouth Road South Brent DEVON TQ10 9HT ENGLAND Tel: 01364 73457 Fax: 01364 72918 patrick@rarevols.co.uk A B C ... Das Becken. WALDEYER, W. Das Cerebellum der Sãugetiere. BOLK, Louis. Das exacte Denken der Griechen. REIDEMEISTER, Kurt. Das Exponentialgesetz als Grundlage einer vergleichenden Biologie. JANISCH, Ernst. Das Füllen der Zähne mit Goldeinlagen. SMREKER, Ernst. Das Gehirn, sein Bau und seine Verrichtungen. LUYS, J[ules]. [Bernard]. Das Gehörorgan bei den angeborenen Kopfmissbildungen. NAGER, F. R. and REYNIER, J. P. de. Das Gorilla-Rückenmark. WALDEYER, W. Das Hirn des Negers mit dem des Europäers und Orang-Outangs verglichen. TIEDEMANN, Friedrich. Das Menschenhirn. RETZIUS, Gustaf. Das menschliche Knochenmark. ROHR, Karl. Das Naturbild der Neuen Physik. HAAS, Arthur. Das Nervensystem des Menschen. Ein Lehrbuch für Studierende und Ärzte. CLARA, Max. Das Röntgenographische Bewegungsbild und seine Anwendung (Flächenkymographie und Kymoskopie). STUMPF, Pleikart. Das Supra-Vestibuläre System dei den Tieren und beim Menschen, mit besonderer Berücksichtigung der Klinik der Blicklähmungen, der sogen, Stirnhirnataxie, der Zwangsstellungen und der Zwangsbewegungen. MUSKENS, L. J. J. Das Vegetative Nervensystem.

10. Reidemeister Portrait Portrait of kurt reidemeister kurt reidemeister. JOC/EFR August 2001 http://www-history.mcs.st-and.ac.uk/history/PictDisplay/Reidemeister.html

Kurt Reidemeister JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Reidemeister.html

11. Mathematik In Göttingen: Bedeutende Mathematiker reidemeister, kurt; Rellich, Franz; Riemann, Bernhard; Runge, Carl http://www.math.uni-goettingen.de/Personen/Bedeutende_Mathematiker/

Mathematische Fakultät Georg-August-Universität Göttingen Updates: letztes: 20.02.2002 jp                                 [ verantwortlich zurück zur Fakultät Universität Bedeutende Mathematiker Bernstein, Felix Carathéodory, Constantin Clebsch, Alfred Courant, Richard ... Siegel, Carl-Ludwig Weber, Heinrich Weyl, Hermann zurück zur Fakultät Universität URL: http://www.math.uni-goettingen.de/Personen/Bedeutende_Mathematiker/index.html

12. Knot Theory By Kurt Reidemeister Topology Atlas Book Abstract iaad16 © Copyright by BCS Associates KnotTheory by kurt reidemeister, ISBN 0-914351-00-1 Order this book from BCS! http://at.yorku.ca/i/a/a/d/16.htm

Topology Atlas Book Abstract # iaad-16 BCS Associates Knot Theory by Kurt Reidemeister ISBN 0-914351-00-1 Order this book from BCS! An English translation of Springer-Verlag's 1932 German edition. Contents Foreword to the English edition Publisher's foreword to the original edition Introduction Chapter I: - Knots and their projections Definition of a knot Regular projections The subdivision of the projection plane into regions Normal knot projections Braids Knots and braids Parallel knots, Cable knots Chapter II: - Knots and matrices Elementary invariants The matrices (c h The matrix (a i The determinant of a knot The invariance of the trosion numbers The torsion numbers of particular knots The quadratic form of a knot Minkowski's units Minkowski's units for particular knots A determinant inequality Classification of alternating knots Almost alternating knots Almost alternating circles The L-polynomial of a knot L-polynomials of particular knots Chapter III: - Knots and Groups Equivalence of braids The braid group Definition of the group of a knot Invariance of the knot group The group of the inverse knot and of the mirror image knot The matrix (l ik x)) and the group The knot group and the matrices (c h The edge path group of a knot Structure of the edge path group Covering spaces of the complementary space of the knot The group of a parallel knot The groups of torus knots The L-polynomials of parallel knots Several special knot groups A particular covering space Table of knots Bibliography Index BCS Associates has given its consent to include this document in

13. TOPCOM, Book Review Of Knot Theory By Corinne Cerf xv+143 pp. ISBN 0914351-00-1. This book is a 1983 translation of the 1932 celebratedbook by kurt reidemeister. It is subdivided into three chapters. http://at.yorku.ca/t/o/p/c/85.htm

Topology Atlas Document # topc-85 A Book Review: Knot Theory by Corinne Cerf Mathematics Department, CP 216, Universite Libre de Bruxelles, Boulevard du Triomphe, B-1050 Bruxelles, Belgium Book Review from Volume 4, #2 , of TopCom Knot Theory by K. Reidemeister. Originally published as Knotentheorie by K. Reidemeister, Ergebnisse der Mathematik und ihrer Grenzgebiete, Alte Folge, Band 1, Heft 1, SPRINGER, Berlin, 1932. Translated from the German and edited by L. F. Boron, C. O. Christenson, and B. A. Smith, BCS Associates , Moscow, Idaho, 1983 . xv+143 pp. ISBN 0-914351-00-1 This book is a 1983 translation of the 1932 celebrated book by Kurt Reidemeister. It is subdivided into three chapters. The first one is an introduction to knots and braids, including (a sketch of) the original proof that two knots are equivalent if and only if their projections are related by a finite sequence of the three so-called Reidemeister moves. The second chapter describes the main knot invariants obtainable from matrices, like linking numbers, torsion numbers, determinants, and L-polynomials, now called normalized Alexander polynomials, that have been discovered independently by Reidemeister and Alexander. The third chapter deals with knot groups: definition by generators and relations from a projection, invariance, equivalence with the fundamental group of the knot complement, calculation of the group of special families of knots. A group-theoretic interpretation of the matrices and L-polynomials of Chapter II is given.

14. Kurt Reidemeister's Contributions To Knot Theory: Epistemic Configurations In Ma G4, Institut for Matematiske Fag Dr. Moritz Epple Dibner Institute, MIT, USA KurtReidemeister's contributions to knot theory Epistemic configurations in http://www.ivh.au.dk/kollokvier/moritz_epple_27_10_99.dk.html

Institutkollokvium ved Institut for Videnskabshistorie Onsdag d. 27. 10. kl. 15 i koll. G4, Institut for Matematiske Fag Dr. Moritz Epple Dibner Institute, MIT, USA Kurt Reidemeister's contributions to knot theory: Epistemic configurations in mathematical research practice Abstract In 1932, the German mathematician Kurt Reidemeister published a little booklet entitled "Knotentheorie". It was the first monography in a field which was just about to emerge as an autonomous mathematical theory. Correspondingly, Reidemeister presented the young field in a rather modernistic style, based on "new elementary foundations" which he himself had proposed a few years earlier. A closer look at Reidemeister's research practice reveals, however, that his own main contributions to knot theory were NOT obtained within this new framework, but rather in a more traditional framework of geometric and topological thinking which he had encountered in Vienna. I will use this episode to introduce and to discuss some more general categories for an analysis of mathematical research practice. These categories are intended to highlight the highly local and time-bound character of (at least modern) mathematical research. Bemærk: Onsdag På gensyn Anita Kildebæk Nielsen 521-119, 8942 3508, ivhakn@ivh.au.dk

15. Poster Of Reidemeister kurt reidemeister. died 31 years ago http://www-gap.dcs.st-and.ac.uk/~history/Posters/708c.html

Kurt Reidemeister died 32 years ago 8th July 1971 Reidemeister was a pioneer of knot theory and his work had a great influence on Group Theory. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/

16. Afholdte Kollokvier 9944, 27. okt. Onsdag, Moritz Epple, kurt reidemeister's contributions to knot theoryEpistemic configurations in mathematical research practice. 9942, 14. okt. http://www.ivh.au.dk/kollokvier/allekollokvier.dk.html

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17. Biography-center - Letter R women/reid.htm; reidemeister, kurt wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/reidemeister.html;Reifenstein Jr, Edward http://www.biography-center.com/r.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish R 483 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Renyi.html R. M., Williams www.abc.net.au/btn/australians/rmwilliams.htm Rabbitt, Eddie elvispelvis.com/eddierabbitt.htm Rabi, Isidor www.pbs.org/wgbh/amex/bomb/peopleevents/pandeAMEX80.html Rabi, Isidor Isaac www.nobel.se/physics/laureates/1944/rabi-bio.html Rabiah ibn Kab, www.usc.edu/dept/MSA/history/biographies/sahaabah/bio.RABIAH_IBN_KAB.html Rabin, Yitzhak www.nobel.se/peace/laureates/1994/rabin-bio.html Rabinow, Jacob web.mit.edu/invent/www/inventorsR-Z/rabinow.html Rachmaninoff, Sergei www.island-of-freedom.com/RACH.HTM Rackham, Arthur www.bpib.com/illustrat/rackham.htm#rackhamtop www-history.mcs.st-and.ac.uk/~history/Mathematicians/Rado.html Rademacher, Hans

18. SNM/DLA: Nachlaß Sternberger, Dolf Translate this page Alfred von Martin, Ernst Wilhelm Meyer, Konrad Mommsen, Otto Nickel, Hans ErichNossack, Hans Paeschke, Gustav Radbruch, kurt reidemeister, Benno Reifenberg http://www.dla-marbach.de/kallias/hyperkuss/s-136.html

Schiller-Nationalmuseum/ Deutsches Literaturarchiv Startseite SNM/DLA Aktuelles Marbacher Institute Kataloge des Literaturarchivs ... Weiter ] [Anfang] [ Ende Register Suche Startseite ... Sternberger, Dolf Adolf Sternberger PEN -Zentrums der Bundesrepublik Prosa (meist mehrere Fassungen; mit Materialien und Korrespondenzen) Verschiedenes Autobiographisches Briefe an und von (z.T. auch an Ilse Sternberger Theodor W. Adorno Hannah Arendt Adolf Arndt ... Hans Bender (geb.1919), Walter Benjamin Gottfried Bermann Fischer Udo Bermbach Albert Bettex ... Harry Buckwitz (geb.1900), Carl J. Burckhardt (Kunsthistoriker), Henry Cavanna Helmut Coing Ernst Robert Curtius Claude David ... Hans Maier (geb.1931), Erika Mann Golo Mann Thomas Mann Ludwig Marcuse ... Christian Meier (Historiker), Clara Menck Hans Friedrich Menck Peter de Mendelssohn Friedrich Michael ... Gerhard Schmidt (Psychiater), Walter Schmiele Ernst Schnabel Lambert Schneider Lilly von Schnitzler ... Marianne Weber (verh. mit Max Weber), Erwin Barth von Wehrenalp Harald Weinrich Adelbert Weinstein Gerhard Weintraud ... Heinrich und Christiane Zimmer u.a.; Bayerischer Rundfunk Deutsch-Englische Gesellschaft Deutsche Unesco-Kommission Deutscher Gewerkschaftsbund ... Wissenschaftliche Gesellschaft Frankfurt ; Verlage Claassen Deutsche Verlagsanstalt S. Fischer

19. Table Of Contents For Reidemeister 1983. This book is a 1983 translation of the 1932 celebrated bookby kurt reidemeister. It is subdivided into three chapters. The http://www.harbornet.com/bcsassociates/toc_rei.html

[Home ] Title List Tables of Contents and Reviews] Ordering Information Knot Theory by K. Reidemeister Reviewed for Topology Atlas by Corinne Cerf KNOT THEORY by K. REIDEMEISTER. Originally published as KNOTENTHEORIE by K. REIDEMEISTER, Ergebnisse der Mathematik und ihrer Grenzgebiete, Alte Folge, Band 1, Heft 1, SPRINGER, Berlin, 1932. Translated from the German and edited by L. F. BORON, C. O. CHRISTENSON, and B. A. SMITH, BSC ASSOCIATES, Moscow, Idaho, U.S.A., 1983. This book is a 1983 translation of the 1932 celebrated book by Kurt Reidemeister. It is subdivided into three chapters. The first one is an introduction to knots and braids, including (a sketch of) the original proof that two knots are equivalent if and only if their projections are related by a finite sequence of the three so-called Reidemeister moves. The second chapter describes the main knot invariants obtainable from matrices, like linking numbers, torsion numbers, determinants, and L-polynomials, now called normalized Alexander polynomials, that have been discovered independently by Reidemeister and Alexander. The third chapter deals with knot groups: definition by generators and relations from a projection, invariance, equivalence with the fundamental group of the knot complement, calculation of the group of special families of knots. A group-theoretic interpretation of the matrices and L-polynomials of Chapter II is given.

20. Dissertationen In Mathematik, 1907-1944 Translate this page Hamburg, 30.07.1921, Geometrie, Affine und Profektive Geometrie, M, reidemeister,kurt, Über die Relativklassenzahl gewisser relativquadratischer Zahlkörper. http://www.mathematik.uni-bielefeld.de/DMV/archiv/dissertationen/1921.html

Dissertationen in Mathematik, 1921 Renate Tobies, Kaiserslautern tobies@mathematik.uni-kl.de G Verfasser Titel Univers./TH Datum Gebiet Untergebiet Publiziert in Zeitschrift Land M Bochner, Salomon Berlin Analysis Funktionentheorie Math. Zeitschrift, Bd. 14 PL M Bergmann, Stephan Berlin Analysis Funktionentheorie Math. Annalen, Bd. 86 RUS M Unendliche Abelsche Gruppen von Elementen endlicher Ordnung. Berlin Algebra Gruppentheorie Auszug in: Jahrbuch d. Diss. d. Philos. Fak. Berlin, 1920-1921 M Cohn, Artur Berlin Algebra Gleichungstheorie Math. Zeitschrift, Bd 14 W Strick, Helene Bonn Analysis Variationsrechnung W Trilling, Elisabeth Zur Theorie absolut-additiver Mengenfunktionen. Bonn Analysis Funktionentheorie W Scheben, Gertrud Brennpunkte und Asymptoden der Kegelschnitte in der nichteuklidischen Geometrie. Bonn Geometrie Nichteuklidische Geometrie M Hake, Heinrich Bonn Analysis Funktionentheorie Math. Annalen, Bd.83 M Radakovic, Theodor Bonn Analysis Integralrechnung A M Unger, Walter Bonn Topologie M Lehnen, Matthias Eine Theorie der Raumkurven 3. Ordnung auf der Grundlage der Invariantentheorie.

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