Constantin Caratheodory : Mathematics and Politics in Turbulent Times (2004. XXVIII, 651 p. w. 87 ills. 24 cm)

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Constantin Caratheodory : Mathematics and Politics in Turbulent Times (2004. XXVIII, 651 p. w. 87 ills. 24 cm)

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  • 製本 Hardcover:ハードカバー版/ページ数 651 p.
  • 商品コード 9783540442585

基本説明

New in softcover. Hardcover was published in 2003.

Full Description


Constantin Caratheodory (Berlin 1873-1950 Munich) - Mathematics and Politics in Turbulent Times is a biography of a mathematician who became famous during his life, but has hitherto been ignored by historians for half a century after his death. In a thought-provoking approach, Maria Georgiadou devotes to Constantin Caratheodory all the attention such a personality deserves. With breathtaking detail and the appropriate scrutiny she elucidates his oeuvre, life and turbulent political/historical surroundings: descending from the Greek elite of Constantinople, Caratheodory graduated from the military school of Brussels, became engineer at the Assiout dam in Egypt and finally dedicated a life of effort to mathematics and education. He studied and embarked on an international academic career, haunted by wars, catastrophes and personal tragedies. Over the last years of his life, he stayed in Munich despite World War II, an ambiguous decision upon which the author sheds unprecedented light.Caratheodory's most significant mathematical contributions were to the calculus of variations, the theory of point set measure, and the theory of functions of a real variable, pdes, also to complex function theory.The interdisciplinarity of the text allows easy access for both scholars and readers with a general interest in mathematics, politics and history. The thoroughness of the author's research and evaluations is certain to leave everyone impressed and more knowledgeable.

Table of Contents

CHAPTER 1 Origin and Formative Years
1.1 From Chios to Livorno and Marseille 1 (2)
1.2 The Carath駮dorys in the Ottoman Empire 3 (2)
1.3 Stephanos Carath駮dory, the Father 5 (2)
1.4 Early Years in Belgium 7 (4)
1.5 The Graeco-Turkish War of 1897 11 (3)
1.6 With the British Colonial Service in 14 (5)
Egypt
1.7 Studies in Berlin 19 (4)
1.8 The German University 23 (1)
1.9 Friends in G tingen 23 (3)
1.10 Connections with Klein and Hilbert 26 (5)
1.11 Doctorate: Discontinuous Solutions in 31 (5)
the Calculus of Variations
1.12 The Third International Congress of 36 (2)
Mathematicians
1.13 A Visit to Edinburgh 38 (1)
1.14 Habilitation in G tingen 39 (1)
1.15 Lecturer in G tingen 40 (5)
CHAPTER 2 Academic Career in Germany
2.1 Habilitation (again) in Bonn 45 (2)
2.2 Axiomatic Foundation of Thermodynamics 47 (4)
2.3 Marriage, a Family Affair 51 (6)
2.4 First Professorship in Hannover 57 (4)
2.5 Professor at the Royal Technical 61 (2)
University of Breslau
2.6 Theory of Functions 63 (21)
2.6.1 The Picard Theorem 63 (3)
2.6.2 Coefficient Problems 66 (2)
2.6.3 The Schwarz Lemma 68 (4)
2.6.4 Conformal Mapping 72 (8)
2.6.4.1 Existence Theorems 72 (2)
2.6.4.2 Variable Domains 74 (3)
2.6.4.3 Mapping of the Boundary 77 (3)
2.6.5 Normal Families 80 (2)
2.6.6 Functions of Several Variables 82 (2)
2.7 Elementary Radiation Theory 84 (3)
2.8 Venizelos Calls Carath駮dory to Greece 87 (3)
2.9 Carath駮dory Succeeds Klein in G tingen 90 (3)
2.10 On the Editorial Board of the 93 (3)
Mathematische Annalen
2.11 War 96 (4)
2.12 Famine 100(1)
2.13 Insipid Mathematics 100(1)
2.14 "German Science and its Importance" 101(1)
2.15 Einstein Contacts Carath駮dory 102(2)
2.16 The Theory of Relativity in its 104(3)
Historical Context
2.17 Functions of Real Variables 107(9)
2.17.1 Theory of Measure 107(1)
2.17.2 One-to-One Mapping 108(1)
2.17.3 Carath駮dory's Books on Real 109(3)
Functions
2.17.4 The Book on Algebraic Theory of 112(1)
Measure and Integration
2.17.5 Correspondence with Rado on Area 113(3)
Theory
2.18 Doctoral Students in G tingen 116(1)
2.19 Succeeded by Erich Hecke in G tingen 116(1)
2.20 Professor in Berlin 117(3)
2.21 Geometry 120(3)
2.22 Supervision of Students 123(1)
2.23 Applied Mathematics as a Consequence of 124(1)
War
2.24 Collapse of Former Politics 125(2)
2.25 Member of the Prussian Academy of 127(1)
Sciences
2.26 Supporting Brouwer's Candidacy 128(1)
2.27 Carath駮dory's Successor in Berlin 129(2)
2.28 The "Nelson Affair" 131(6)
CHAPTER 3 The Asia-Minor Project
3.1 Preliminaries to the Greek National 137(3)
Adventure
3.2 The Greek Landing in Smyrna and the 140(3)
Peace Treaty of S钁res
3.3 Smyrna, a Cosmopolitan City 143(3)
3.4 "Projet d'une nouvelle Universit en 146(4)
Gr鐵e"
3.5 Founding the Ionian University 150(3)
3.6 The High Commissioner's Decree 153(1)
3.7 The Development of the Ionian University 154(10)
3.8 "A Castle in the Air" 164(1)
3.9 The Asia-Minor Disaster and the End of 165(3)
the Ionian University
3.10 Fleeing from Smyrna to Athens 168(2)
3.11 Professor in Athens 170(4)
3.12 The Lausanne Treaty: Defeat of the Great 174(2)
Idea
3.13 The Refugees 176(2)
3.14 Carath駮dory's Report to Henry Morgenthau 178(2)
3.15 In the Hope of Venizelos's Return 180(3)
CHAPTER 4 A Scholar of World Reputation
4.1 Appointment to Munich University 183(4)
4.2 Life in Munich 187(4)
4.3 Planning an Institute of Physics at 191(5)
Athens University with Millikan
4.4 Reichenbach and the Berlin Circle 196(4)
4.5 Suggestions to Hilbert on Quantum 200(2)
Mechanics
4.6 Calculus of Variations 202(15)
4.6.1 General Theory 202(5)
4.6.2 Multiple Integrals 207(5)
4.6.3 Carath駮dory's Book on the Calculus 212(3)
of Variations and Partial Differential
Equations
4.6.4 Control Theory, Dynamic Programming 215(1)
and Pontryagin's Principle
4.6.5 Viscosity Solutions to 216(1)
Hamilton-Jacobi PDEs
4.7 Member of the Academy of Athens 217(2)
4.8 Caring for Munich's Scientific Life 219(1)
4.9 First Visiting Lecturer of the American 220(1)
Mathematical Society
4.10 Hindered by the Bavarian Ministry of 220(2)
Finances
4.11 At the University of Pennsylvania 222(1)
4.12 At Harvard 222(1)
4.13 At Princeton 223(1)
4.14 An "Excellent Man" but not to be 224(2)
Appointed
4.15 The "Bochner Case" 226(2)
4.16 At Austin and San Antonio 228(1)
4.17 Impressions of America 228(1)
4.18 "A Great Catch": Appointment to a Full 229(2)
Professorship of Mathematics at Stanford
University
4.19 Carath駮dory Negotiates to Remain in 231(2)
Munich
4.20 Carath駮dory and Rad  233(2)
4.21 A "Pack of Wolves" 235(7)
4.22 Carath駮dory's View of Rosenthal 242(1)
4.23 Works of Art for Delta 243(1)
4.24 Honour to Schmidt-Ott 244(1)
4.25 Expecting a New Mission in Greece 245(4)
4.26 Venizelos Calls Carath駮dory to Rescue 249(4)
the Greek Universities
4.27 Carath駮dory's Report 253(2)
4.28 In Thessaloniki 255(2)
4.29 "The Crown of Thorns" 257(2)
4.30 Commissioner of the Greek Government 259(3)
4.31 Undesirable Reform 262(1)
4.32 Academic Contacts in Greece 263(3)
4.33 Goethe: A Graeco-German Bridge 266(1)
4.34 A Timely Overview of Mathematics 267(1)
4.35 Neugebauer, Courant, Springer 268(1)
4.36 At the International Congress of 269(4)
Mathematicians in Zurich
4.37 Mechanics 273(2)
CHAPTER 5 National Socialism and War
5.1 "Gleichschaltung" 275(3)
5.2 Carath駮dory's Friends: Victims of the 278(10)
1933 Racial Laws
5.3 Member of the "Reform Committee" 288(2)
5.4 Three "Incorrigible" Opponents 290(2)
5.5 Recommending Ernst Mohr 292(1)
5.6 The Reich Ministry of Education and the 293(1)
Lecturers' Corporation
5.7 Persecutions and Resignations in 1934 294(2)
5.8 Under Observation and Judgement 296(1)
5.9 A Catholic or an Orthodox? 296(1)
5.10 In Pisa 297(1)
5.11 Honorary President of the Inter-Balkan 297(2)
Congress of Mathematicians
5.12 Nuremberg Laws and New Measures 299(2)
5.13 in Bern and Brussels 301(1)
5.14 Member of the International Commission 302(2)
of Mathematicians
5.15 Protest 304(1)
5.16 Carath駮dory's View of Damk ler 305(1)
5.17 Despina Leaves Munich for Athens 305(4)
5.18 "On the Present State of the German 309(1)
Universities"
5.19 Carath駮dory Meets Tsaldaris at Tegernsee 310(3)
5.20 Corresponding Member of the Austrian 313(1)
Academy of Sciences
5.21 Expecting the War - On the Political 313(1)
Situation in Europe and Greece
5.22 4 August 1936: Dictatorship in Greece 314(3)
5.23 The Oslo Congress: awarding the First 317(6)
Fields Medals
5.24 Against an International Congress of 323(1)
Mathematicians in Athens
5.25 Invitation to the University of Wisconsin 323(4)
5.26 Carl Schurz Professor at the University 327(1)
of Wisconsin
5.27 Support for Blumenthal 328(1)
5.28 Political Academician 329(5)
5.29 Geometric Optics 334(7)
5.29.1 The Book 334(1)
5.29.2 The Schmidt Mirror Telescope 335(3)
5.29.3 Correspondence with the Imperial 338(3)
Chemical Industries on the Schmidt Mirror
Systems
5.30 Nazi Measures and Laws in 1937 341(2)
5.31 "Wandering Jew" 343(1)
5.32 Graeco-German Relations Before the War 343(1)
5.33 Archaeological Interest 344(4)
5.34 "Symbol" of German-Greek Contact 348(1)
5.35 Release from Civil Service - Flexible in 349(3)
Surviving
5.36 Honorary Professor of the University of 352(1)
Athens
5.37 The Fate of the Last Remaining Friends 352(2)
5.38 Dispute about Carath駮dory's Successor 354(9)
5.38.1 The Persons Involved 354(2)
5.38.2 The Lists Submitted 356(6)
5.38.3 The Successful Candidate 362(1)
5.39 Despina's Wedding 363(3)
5.40 Two Trips Cancelled Because of the War 366(1)
5.41 Decline in Quality 367(1)
5.42 Carath駮dory and the Cartan Family - 368(1)
Germany Occupies France
5.43 Favouring Weizs臘ker's Appointment in 369(2)
Munich
5.44 Sommerfeld's Successor 371(3)
5.45 Greece under German Occupation 374(3)
(1941-1944)
5.46 International Science Restructuring 377(2)
5.47 Mediating for Saltykow's Release 379(1)
5.48 Unable to Rescue Schauder 380(3)
5.49 Papal Audience in Rome 383(2)
5.50 Why Should Every Philistine Know who 385(3)
Hilbert was?
5.51 Summer Vacations in the Black Forest 388(1)
5.52 An Unrealised Plan to Visit Finland and 389(6)
the Rosenberg Report on Carath駮dory
5.53 Munich in Wartime - Contact with Leipzig 395(1)
and Freiburg
5.54 Endeavours to Save "German Science" 396(3)
5.54.1 In Favour of van der Waerden's Stay 396(1)
in Germany
5.54.2 Von Laue's Acknowledgement 397(1)
5.54.3 Steck's Exclusion from Lambert's 397(2)
Edition
5.54.4 In the Jury for a Prize in Geometry 399(1)
5.55 Bombardments of Munich 399(1)
5.56 Denunciations 400(2)
5.56.1 Mohr 400(1)
5.56.2 The Hopf Family 401(1)
5.57 A Reich Institute for Mathematics 402(1)
5.58 Munich in the Autumn of 1944 403(1)
5.59 "In the Interest of the Union" 404(1)
5.60 An Unlikely Captive 405(2)
5.61 Euphrosyne's Illness and Air Raids 407(1)
5.62 Collected Mathematical Writings 407(5)
5.63 Denazification 412(6)
5.64 A "Reasonable" Compromise 418(3)
CHAPTER 6 The Final Years
6.1 Consequences of War 421(2)
6.2 Carath駮dory and the Mathematical 423(5)
institute in Oberwolfach: Reconstruction
6.3 In Zurich: Family and Friends 428(1)
6.4 Attempts to Leave Germany for Greece 429(3)
6.5 Contacts with Americans 432(3)
6.6 Widowed and Fatally Diseased 435(3)
6.7 Theory of Functions and Carath駮dory's 438(1)
Last Doctoral Student
6.8 Born's Natural Philosophy of Cause and 439(1)
Chance
6.9 The First Post-War International 439(2)
Congress of Mathematicians
6.10 Death 441(3)
6.11 Carath駮dory's Library 444(5)
Epilogue 449(8)
Appendix I Some Explanations concerning the Text 457(4)
Appendix II A Short Biographical Sketch of the 461(4)
Carath駮dory Family
Appendix III Chronology 465(8)
Appendix IV Carath駮dory's Fields of Study and 473(4)
Contributions bearing his Name
Appendix V A List of Carath駮dory's Students 477(6)
Notes 483(118)
Bibliography 601(8)
A. Carath駮dory's Works 601(1)
B. Selected Bibliography 602(7)
Name Index 609(16)
Geographic Index 625(6)
Subject Index 631(6)
Index of Mathematical and Physical Subjects 637(4)
Index of Academic Organisations and Institutions 641(6)
Some Views of Munich and Ludwig-Maximilian 647
University