This biography attempts to shed light on all facets of Zermelo's life and achievements. Personal and scientific aspects are kept separate as far as coherence allows, in order to enable the reader to follow the one or the other of these threads. The presentation of his work explores motivations, aims, acceptance, and influence. Selected proofs and information gleaned from unpublished notes and letters add to the analysis.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
From the reviews:
"The author succeeds beautifully in bridging the pernicious gap between serious and precise mathematical exposition, on the one hand, and general, non-expert, readership, on the other. ... is a beautifully produced book, replete with a large number of photographs and a few reproductions of Zermelo’s handwritten communications. Ernst Zermelo was an important mathematician, a gunfighter as well as an architect, about whom any contemporary mathematician should learn a good deal more than what is presented in university courses on set theory and logic. Ebbinghaus’s book is perfect for this purpose." (Michael Berg, MathDL, July, 2007)
"The book under review, by a prominent logician at the University of Freiburg, is a splendid in-depth biography of a complex man ... . Ebbinghaus has done a magnificent job in fleshing out Zermelo’s life and work He has included in his book much correspondence and an appendix that contains selected original German versions. A curriculum vitae, many photos, and full bibliographical references are also provided." (Philip I. Davis, SIAM News, Vol. 41 (1), January/February, 2008)
"Ernst Zermelo was part of the coterie of bright young mathematicians that surrounded Hilbert at Göttingen. ... This is a highly readable and satisfying work that avoids the dry recitation of facts that sometimes plague biographies about mathematicians. ... The author has striven to present as complete a portrait as we are likely to get of this complicated man. The mathematical detail presented is informative ... . The biography proceeds chronologically and in manageable chunks. The volume contains many photographs from Gertrud Zermelo’s collection." (J. M. Plotkin, Mathematical Reviews, Issue 2007 m)
"Ernst Zermelo (1871-1953) is a figure ripe for biography, and Heinz-Dieter Ebbinghaus has given an absorbing and well-documented account of Zermelo’s life and work that provides a coherent portrait of a complex, difficult, and somewhat tragic personality. ... Ebbinghaus does a good job of ... providing just the right amount of detail to make clear the nature of Zermelo’s accomplishments and to whet readers’ interests in learning more about them, without intimidating nonspecialists. ... The English style is very good ... ." (John W. Dawson, SIAM Review, Vol. 50 (1), 2008)
"This book gives the first English, detailed scientific biography of Ernst Zermelo ... . The presentation of Zermelo’s works explores his motivations, aims, acceptance and influence on the development of mathematics. ... The book contains more than 40 photos and facsimiles, a large list of references and an index. It gives new light to all facets of Zermelo’s life and mathematical achievements and it can be recommended to a wide audience. The book is suitable for mathematicians, historians of mathematics and science, students and teachers." (European Mathematical Society Newsletter, June, 2008)
"Ernst Zermelo was the most influential set-theorist of the first half of the 20th century. ... There is an extensive list of references and a helpful chronological vita. The book is well edited ... . It is highly recommended for university libraries and for those interested in the history of mathematics of the 20th century." (Henry E. Heatherly, The Mathematical Intelligencer, Vol. 31 (1), 2009)
“Ebbinghaus’ book includes a large number of short excerpts from unpublished sources in their original language, a substantial number of photographs, a curriculum vitae for Zermelo, a comprehensive bibliography, and a useful index. It is a very welcome addition to our knowledge of mathematics in the twentieth century and a great read for anyone interested in the development of set theory and the life of one of its main protagonists.” (Henrik Kragh Sørensen, Zentralblatt MATH, Vol. 1176, 2010)
“This is an outstanding book in all respects: well written and well organized, carefully researched with numerous photos and a genuine pleasure to read. It gives an accurate and detailed description of all of Zermelo’s contributions to mathematics, not just to set theory. ... this book is not just a ‘must have’ for specialists in set theory and its history. It is also recommended for logicians and historians of mathematics in general. Professors may confidently recommend its acquisition by their college or university library.” (Richard E. Hodel, The Review of Modern Logic, Vol. 11 (1&2), June 2007-December 2008)
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Spese di spedizione:
GRATIS
In U.S.A.
Descrizione libro Condizione: Good. Used book that is in clean, average condition without any missing pages. Codice articolo 19203359-6
Descrizione libro 24 x 16 cm. Condizione: Gut. XIV, 356 Pages ; With 42 Illustrations Innen sauberer, guter Zustand. Hardcover, Pappeinband, mit den üblichen Bibliotheks-Markierungen, Stempeln und Einträgen, innen wie außen, siehe Bilder. (Evtl. auch Kleber- und/oder Etikettenreste, sowie -abdrücke durch abgelöste Bibliotheksschilder). Englische Sprache - Hardboard with Library label. Inside with Library stamps, in good condition. English Language MIG-10-05A|S35 Sprache: Englisch Gewicht in Gramm: 750. Codice articolo 71417
Descrizione libro gebundener Originalpappband. Condizione: Wie neu. XIV, 356 S. : Ill. ; 24 cm Gebundene ORIGINALAUSGABE, kein billiger print-on-demand, bestens erhalten, keinerlei Gebrauchsspuren.Berlin 1871-1897 1 1.1 Family and Youth 1 1.2 School and University Studies 5 1.3 Ph. D. Thesis and the Calculus of Variations 10 1.4 The Boltzmann Controversy 15 1.4.1 The Situation 15 1.4.2 The First Round 17 1.4.3 The Second Round 21 1.4.4 After the Debate 23 Gottingen 1897-1910 27 2.1 Introduction 27 2.2 Working in Applied Mathematics 28 2.2.1 Habilitation 29 2.2.2 Applied Mathematics After the Habilitation 32 2.3 First Years as a Privatdozent in Gottingen 33 2.3.1 Privatdozenten Grant and Titular Professorship 33 2.3.2 Under Consideration in Breslau 1903 34 2.4 The Context: Hilbert's Research on Foundations 36 2.4.1 Mathematical Problems and Foundations 36 2.4.2 Foundations of Geometry and Analysis 40 2.4.3 The Paradoxes 41 2.5 Starting Set Theory ., 47 2.5.1 Zermelo's First Period of Foundational Research 47 2.5.2 Early Work 48 2.5.3 The Heidelberg Congress 1904 50 2.6 Zermelo's First Well-Ordering Proof 53 2.6.1 The Proof and its Motivation 53 2.6.2 Reactions 59 2.7 Finite Sets v 61 2.8 The New Proof Paper . . .' 2.8.1 Zermelo's Defence 65 2.8.2 The New Proof 69 2.8.3 Toward Acceptance of the Axiom of Choice 70 2.8.4 Postscriptum: Zermelo and Bernstein 72 2.9 The Axiomatization of Set Theory 76 2.9.1 Motivations 76 2.9.2 The Axiom System 79 2.9.3 Dedekind's Influence 84 2.9.4 The Axiom of Separation 86 2.9.5 The Range of the Axioms 89 2.9.6 Reception of the Axiom System 91 2.10 The Institutionalization of Mathematical Logic 92 2.10.1 Zermelo's Lectureship for Mathematical Logic 92 2.10.2 The 1908 Course "Mathematische Logik" 96 2.10.3 Hilbert and Zermelo 102 2.11 Waiting for a Professorship 105 2.11.1 Deterioration of Health 105 2.11.2 Wiirzburg 1906 106 2.11.3 Wiirzburg 1909 107 2.11.4 An Extraordinary Professorship Ill Zurich 1910-1921 113 3.1 A Full Professorship 113 3.1.1 Legends 113 3.1.2 The Chair in Zurich 114 3.1.3 Under Consideration at the Technical University of Breslau 117 3.1.4 Zermelo's Medical History 119 3.1.5 The End of Zermelo's Career 120 3.2 Colleagues and a Friend 125 3.3 Teaching in Zurich 128 3.4 Scientific Work in Zurich 129 3.4.1 Game Theory 129 3.4.2 Algebra and Set Theory 133 3.4.3 Ordinal Numbers 133 3.5 The Fraenkel Correspondence of 1921 and the Axiom of Replacement 135 Freiburg 1921-1953 139 4.1 A New Start 139 4.2 Research in Applied Mathematics 148 4.2.1 The Calculation of Tournament Results 148 4.2.2 The Zermelo Navigation Problem 150 4.2.3 On Splitting Lines of Ovals 152 4.3 The Return to the Foundations of Mathematics ? 153 4.3.1 The Return 153 4.3.2 The Logic Project , 154 4.3.3 Cantor's Collected Papers and the Relationship to Abraham Fraenkel 158 4.3.4 The Notgemeinschaft Project 163 4.4 Warsaw 1929 165 4.4.1 The Prehistory 165 4.4.2 The Warsaw Programme 167 4.4.3 The Nature of Mathematics 169 4.4.4 Intuitionism versus Mathematics of the Infinite 170 4.4.5 The Justification Problem 171 4.5 Foundational Controversies: An Introduction 175 4.6 Definiteness Revisited 179 4.6.1 Definiteness Until 1930 179 4.6.2 Incorporating Definiteness Into the Notion of Set 183 4.7 The Cumulative Hierarchy 186 4.7.1 Genesis 187 4.7.2 The Zermelo-Fraenkel Axiom System 189 4.7.3 Cumulative Hierarchies, Large Cardinals, and the Paradoxes 190 4.7.4 Continuation 193 4.7.5 The Reception of the Grenzzahlen Paper 194 4.8 The Skolem Controversy 196 4.8.1 The Lowenheim-Skolem Theorem 198 4.8.2 Skolem's Paradox 198 4.8.3 A "War" Against Skolem .4.9.2 Infinitary Languages 206 4.9.3 Infinitary Logic 208 4.9.4 Infinitary Languages and the Cumulative Hierarchy . . 209 4.9.5 The Failure 210 4.10 The Godel Controversy 212 4.10.1 The Bad Elster Conference 212 4.10.2 The Godel Correspondence 216 4.10.3 After the Controversy # 218 4.11 The Loss of the Honorary Professorship 219 4.11.1 The University of Freiburg and Its Mathematical Institute After the Seizure of Power 220 4.11.2 The Zermelo Ca. Codice articolo 1196797
Descrizione libro hardcover. Condizione: Good. Good. book. Codice articolo D8S0-3-M-3540495517-4