Table of Contents

1 Origin and Formative Years.- 1.1 From Chios to Livorno and Marseille.- 1.2 The Carathèodorys in the Ottoman Empire.- 1.3 Stephanos Carathéodory, the Father.- 1.4 Early Years in Belgium.- 1.5 The Graeco-Turkish War of 1897.- 1.6 With the British Colonial Service in Egypt.- 1.7 Studies in Berlin.- 1.8 The German University.- 1.9 Friends in Göttingen.- 1.10 Connections with Klein and Hilbert.- 1.11 Doctorate: Discontinuous Solutions in the Calculus of Variations.- 1.12 The Third International Congress of Mathematicians.- 1.13 A Visit to Edinburgh.- 1.14 Habilitation in Göttingen.- 1.15 Lecturer in Göttingen.- Chapterchapter 2 Academic Career in Germany.- 2.1 Habilitation (again) in Bonn.- 2.2 Axiomatic Foundation of Thermodynamics.- 2.3 Marriage, a Family Affair.- 2.4 First Professorship in Hannover.- 2.5 Professor at the Royal Technical University of Breslau.- 2.6 Theory of Functions.- 2.6.1 The Picard Theorem.- 2.6.2 Coefficient Problems.- 2.6.3 The Schwarz Lemma.- 2.6.4 Conformal Mapping.- 2.6.4.1 Existence Theorems.- 2.6.4.2 Variable Domains.- 2.6.4.3 Mapping of the Boundary.- 2.6.5 Normal Families.- 2.6.6 Functions of Several Variables.- 2.7 Elementary Radiation Theory.- 2.8 Venizelos Calls Carathéodory to Greece.- 2.9 Carathéodory Succeeds Klein in Göttingen.- 2.10 On the Editorial Board of the Mathematische Annalen.- 2.11 War.- 2.12 Famine.- 2.13 Insipid Mathematics.- 2.14 “German Science and its Importance”.- 2.15 Einstein Contacts Carathéodory.- 2.16 The Theory of Relativity in its Historical Context.- 2.17 Functions of Real Variables.- 2.17.1 Theory of Measure.- 2.17.2 One-to-One Mapping.- 2.17.3 Carathéodory’s Books on Real Functions.- 2.17.4 The Book on Algebraic Theory of Measure and Integration.- 2.17.5 Correspondence with Radó on Area Theory.- 2.18 Doctoral Students in Göttingen.- 2.19 Succeeded by Erich Hecke in Göttingen.- 2.20 Professor in Berlin.- 2.21 Geometry.- 2.22 Supervision of Students.- 2.23 Applied Mathematics as a Consequence of War.- 2.24 Collapse of Former Politics.- 2.25 Member of the Prussian Academy of Sciences.- 2.26 Supporting Brouwer’s Candidacy.- 2.27 Carathéodory’s Successor in Berlin.- 2.28 The “Nelson Affair”.- 3 The Asia-Minor Project.- 3.1 Preliminaries to the Greek National Adventure.- 3.2 The Greek Landing in Smyrna and the Peace Treaty of Sèvres.- 3.3 Smyrna, a Cosmopolitan City.- 3.4 “Projet d’une nouvelle Université en Grèce”.- 3.5 Founding the Ionian University.- 3.6 The High Commissioner’s Decree.- 3.7 The Development of the Ionian University.- 3.8 “A Castle in the Air”.- 3.9 The Asia-Minor Disaster and the End of the Ionian University.- 3.10 Fleeing from Smyrna to Athens.- 3.11 Professor in Athens.- 3.12 The Lausanne Treaty: Defeat of the Great Idea.- 3.13 The Refugees.- 3.14 Carathéodory’;s Report to Henry Morgenthau.- 3.15 In the Hope of Venizelos’s Return.- 4 A Scholar of World Reputation.- 4.1 Appointment to Munich University.- 4.2 Life in Munich.- 4.3 Planning an Institute of Physics at Athens University with Millikan.- 4.4 Reichenbach and the Berlin Circle.- 4.5 Suggestions to Hilbert on Quantum Mechanics.- 4.6 Calculus of Variations.- 4.6.1 General Theory.- 4.6.2 Multiple Integrals.- 4.6.3 Carathéodory’s Book on the Calculus of Variations and Partial Differential Equations.- 4.6.4 Control Theory, Dynamic Programming and Pontryagin’s Principle.- 4.6.5 Viscosity Solutions to Hamilton-Jacobi PDEs.- 4.7 Member of the Academy of Athens.- 4.8 Caring for Munich’s Scientific Life.- 4.9 First Visiting Lecturer of the American Mathematical Society.- 4.10 Hindered by the Bavarian Ministry of Finances.- 4.11 At the University of Pennsylvania.- 4.12 At Harvard.- 4.13 At Princeton.- 4.14 An “Excellent Man” but not to be Appointed.- 4.15 The “Bochner Case”.- 4.16 At Austin and San Antonio.- 4.17 Impressions of America.- 4.18 “A Great Catch”: Appointment to a Full Professorship of Mathematics at Stanford University.- 4.19 Carathéodory Negotiates to Remain in Munich.- 4.20 Carathéodory and Radó.- 4.21 A “Pack of Wolves”.- 4.22 Carathéodory’s View of Rosenthal.- 4.23 Works of Art for Delta.- 4.24 Honour to Schmidt-Ott.- 4.25 Expecting a New Mission in Greece.- 4.26 Venizelos Calls Carathéodory to Rescue the Greek Universities.- 4.27 Carathéodory’s Report.- 4.28 In Thessaloniki.- 4.29 “The Crown of Thorns”.- 4.30 Commissioner of the Greek Government.- 4.31 Undesirable Reform.- 4.32 Academic Contacts in Greece.- 4.33 Goethe: A Graeco-German Bridge.- 4.34 A Timely Overview of Mathematics.- 4.35 Neugebauer, Courant, Springer.- 4.36 At the International Congress of Mathematicians in Zurich.- 4.37 Mechanics.- 5 National Socialism and War.- 5.1 “Gleichschaltung”.- 5.2 Carathéodory’s Friends: Victims of the 1933 Racial Laws.- 5.3 Member of the “Reform Committee”.- 5.4 Three “Incorrigible” Opponents.- 5.5 Recommending Ernst Mohr.- 5.6 The Reich Ministry of Education and the Lecturers’ Corporation.- 5.7 Persecutions and Resignations in 1934.- 5.8 Under Observation and Judgement.- 5.9 A Catholic or an Orthodox?.- 5.10 In Pisa.- 5.11 Honorary President of the Inter-Balkan Congress of Mathematicians.- 5.12 Nuremberg Laws and New Measures.- 5.13 In Bern and Brussels.- 5.14 Member of the International Commission of Mathematicians.- 5.15 Protest.- 5.16 Carathéodory’s View of Damköhler.- 5.17 Despina Leaves Munich for Athens.- 5.18 “On the Present State of the German Universities”.- 5.19 Carathéodory Meets Tsaldaris at Tegernsee.- 5.20 Corresponding Member of the Austrian Academy of Sciences.- 5.21 Expecting the War — On the Political Situation in Europe and Greece.- 5.22 4 August 1936: Dictatorship in Greece.- 5.23 The Oslo Congress: awarding the First Fields Medals.- 5.24 Against an International Congress of Mathematicians in Athens.- 5.25 Invitation to the University of Wisconsin.- 5.26 Carl Schurz Professor at the University of Wisconsin.- 5.27 Support for Blumenthal.- 5.28 Pontifical Academician.- 5.29 Geometric Optics.- 5.29.1 The Book.- 5.29.2 The Schmidt Mirror Telescope.- 5.29.3 Correspondence with the Imperial Chemical Industries on the Schmidt Mirror Systems.- 5.30 Nazi Measures and Laws in 1937.- 5.31 “The Wandering Jew”.- 5.32 Graeco-German Relations Before the War.- 5.33 Archaeological Interest.- 5.34 A “Symbol” of German-Greek Contact.- 5.35 Release from Civil Service — Flexible in Surviving.- 5.36 Honorary Professor of the University of Athens.- 5.37 The Fate of the Last Remaining Friends.- 5.38 Dispute about Carathéodory’s Successor.- 5.38.1 The Persons Involved.- 5.38.2 The Lists Submitted.- 5.38.3 The Successful Candidate.- 5.39 Despina’s Wedding.- 5.40 Two Trips Cancelled Because of the War.- 5.41 Decline in Quality.- 5.42 Carathéodory and the Cartan Family — Germany Occupies France.- 5.43 Favouring Weizsäcker’s Appointment in Munich.- 5.44 Sommerfeld’s Successor.- 5.45 Greece under German Occupation (1941–1944).- 5.46 International Science Restructuring.- 5.47 Mediating for Saltykow’s Release.- 5.48 Unable to Rescue Schauder.- 5.49 Papal Audience in Rome.- 5.50 Why Should Every Philistine Know who Hilbert was?.- 5.51 Summer Vacations in the Black Forest.- 5.52 An Unrealised Plan to Visit Finland and the Rosenberg Report on Carathéodory.- 5.53 Munich in Wartime — Contact with Leipzig and Freiburg.- 5.54 Endeavours to Save “German Science”.- 5.54.1 In Favour of van der Waerden’s Stay in Germany.- 5.54.2 Von Laue’s Acknowledgement.- 5.54.3 Steck’s Exclusion from Lambert’s Edition.- 5.54.4 In the Jury for a Prize in Geometry.- 5.55 Bombardments of Munich.- 5.56 Denunciations.- 5.56.1 Mohr.- 5.56.2 The Hopf Family.- 5.57 A Reich Institute for Mathematics.- 5.58 Munich in the Autumn of 1944.- 5.59 “In the Interest of the Union”.- 5.60 An Unlikely Captive.- 5.61 Euphrosyne’s Illness and Air Raids.- 5.62 Collected Mathematical Writings.- 5.63 Denazification.- 5.64 A “Reasonable” Compromise.- 6 The Final Years.- 6.1 Consequences of War.- 6.2 Carathéodory and the Mathematical Institute in Oberwolfach: Reconstruction.- 6.3 In Zurich: Family and Friends.- 6.4 Attempts to Leave Germany for Greece.- 6.5 Contacts with Americans.- 6.6 Widowed and Fatally Diseased.- 6.7 Theory of Functions and Carathéodory’s Last Doctoral Student.- 6.8 Born’s Natural Philosophy of Cause and Chance.- 6.9 The First Post-War International Congress of Mathematicians.- 6.10 Death.- 6.11 Carathéodory’s Library.- Epilogue.- Appendix I Some Explanations concerning the Text.- Appendix II A Short Biographical Sketch of the Carathéodory Family.- Appendix III Chronology.- Appendix IV Carathéodory’s Fields of Study and Contributions bearing his Name.- Appendix V A List of Carathéodory’s Students.- Notes.- Bibliography 601.- Name Index.- Geographic Index.- Index of Mathematical and Physical Subjects.- Index of Academic Organisations and Institutions.- Some Views of Munich and Ludwig-Maximilian University.

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Aus den Rezensionen: "! Trotz ! herausragenden Bedeutung Caratheodorys ! gab es bislang nur eine autobiographische Skizze ! sowie einige Nachrufe. Mit dieser Biographie liegt erstmals eine umfangreiche Lebensbeschreibung ! vor ! Das voluminose Werk ist chronologisch klar gegliedert ! Alle biographischen Abschnitte sind ausserordentlich detailreich ! und beschreiben die Zeitumstande als auch die erscheinenden Personen sehr ausfuhrlich ! Die Biographie ist gut illustriert, ! und interessant. Die Autorin fugt den ! bekannten Sachverhalten zahlreiches neues Wissen hinzu. ! Mit dieser Biographie Caratheodorys liegt fur die nachsten Jahrzehnte gewiss ein Standardwerk vor." (Rudiger Thiele, in: Sudhoffs Archiv, 2006, Vol. 90, Issue 2, S. 240 f.)