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Record Nr. |
UNINA9910847082703321 |
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Autore |
Brieskorn Egbert |
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Titolo |
Felix Hausdorff : Mathematician, Philosopher, Man of Letters |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing AG, , 2024 |
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©2024 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (512 pages) |
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Collana |
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Vita Mathematica Series ; ; v.21 |
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Altri autori (Persone) |
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Disciplina |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Intro -- Preface -- Notice for the Reader -- Contents -- Part I Family Background and Early Intellectual Interests -- Chapter 1 Hausdorff's Childhood and Youth -- 1.1 Ancestry -- 1.2 Louis Hausdorff in Leipzig -- 1.3 Leipzig's Jewish Community -- 1.4 Confronting Antisemitism -- 1.5 Louis Hausdorff's Religious Views -- 1.6 School Years in Leipzig -- Chapter 2 Hausdorff's Student Years and Short-lived Astronomical Career -- 2.1 University Studies -- 2.2 Hausdorff as an Astronomer -- 2.3 Family Life -- Chapter 3 Hausdorff's Early Mathematical Works -- 3.1 From Astronomy to Mathematics -- 3.2 First Publications -- 3.2.1 Risk in Random Games -- 3.2.2 Analytical Contributions to Non-Euclidean Geometry -- 3.2.3 On the Theory of Complex Number Systems -- 3.2.4 Contributions to Probability Theory -- Part II A Double Life: the Mathematician Felix Hausdorff and the Philosopher/Man of Letters Paul Mongré -- Chapter 4 Paul Mongré as a Philosopher -- 4.1 Hausdorff's Path to Philosophy -- 4.2 To Know and Honor Nietzsche's Works -- 4.3 Sant' Ilario - Thoughts from Zarathustra's Landscape -- 4.4 Chaos in Cosmic Selection -- 4.5 The Reception of Chaos in Cosmic Selection -- 4.6 Mongré on Stirner -- 4.7 Hausdorff's Relations with the Nietzsche Archive -- 4.8 Essays on Nietzsche -- 4.8.1 Nietzsche's Theory of the Return of the Same -- 4.8.2 The Will to Power -- 4.9 Foundations of Geometry and the Space Problem -- Chapter 5 Paul Mongré: Author, Essayist and Critic -- 5.1 |
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The Author Mongré and his Circle -- 5.2 Paul Mongré's Essays from the Years 1898-1899 -- 5.2.1 Mass Happiness and Individual Happiness -- 5.2.2 The Impure Century -- 5.2.3 Death and Return -- 5.3 Relations with Women, Ideal and Real -- 5.4 Mongré's Poetry Volume -- 5.5 The Veil of the Maya -- 5.6 Max Klinger's Beethoven -- 5.7 Language Criticism -- 5.8 God's Shadow. |
5.9 A Satirical Play: The Physician of His Honor -- Chapter 6 Mathematics takes First Priority -- 6.1 Hausdorff finds his Research Field -- 6.2 Hausdorff's Views on Foundations of Mathematics -- 6.3 Hausdorff's Research on Ordered Sets -- 6.3.1 Investigations into Order Types I-V -- 6.3.2 The Dresden Lecture -- 6.3.3 Hausdorff's Comprehensive Study of Ordered Sets -- 6.3.4 Graduation by Final Behavior -- 6.3.5 On the Reception of Hausdorff's Works on Ordered Sets -- 6.4 Two Mathematical Intermezzi -- 6.4.1 The Baker-Campbell-Hausdorff Formula -- 6.4.2 On Hilbert's Solution of Waring's Problem -- 6.5 Mongré Reawakens -- 6.5.1 Strindberg's Blue Book -- 6.5.2 Devotion to Life -- 6.5.3 The Comet -- Part III Hausdorff's Crowning Mathematical Works -- Chapter 7 Hausdorff at the Pinnacle of his Career -- 7.1 Associate Professor in Bonn -- 7.2 Hausdorff's New Surroundings in Bonn -- 7.3 Work on his opus magnum -- 7.4 Full Professor in Greifswald -- 7.5 The Greifswald Seminar from 1913 to 1921 -- 7.6 Grundzüge der Mengenlehre -- 7.6.1 General Set Theory -- 7.6.2 General Topology -- 7.6.3 Special Topological Spaces -- 7.6.4 Mappings and Real Analysis -- 7.6.5 Reception of the Grundzüge, 1914-1920 -- 7.7 From Borel Sets to Fractal Dimension -- 7.7.1 Dimension and Outer Measure -- 7.7.2 Reception of "Dimension and Outer Measure" -- 7.8 Other Analytic Works -- 7.8.1 Numerical Range of Bilinear Forms -- 7.8.2 Power Series with Analytic Continuation -- 7.8.3 On Semi-Continuous Functions and their Generalization -- 7.8.4 Works on Divergent Series -- 7.9 Family Life in Greifswald -- Chapter 8 Full Professor in Bonn, 1921-1933 -- 8.1 Returning to Bonn -- 8.2 The Bonn Mathematics Seminar -- 8.3 Hausdorff's Teaching Activity in Bonn -- 8.4 Reception of Grundzüge der Mengenlehre -- 8.5 Hausdorff's Mengenlehre -- 8.6 Other Mathematical Works. |
8.6.1 The Hausdorff-Young Inequality -- 8.6.2 Moment Problems -- 8.6.3 Gδ Sets in Complete Spaces -- 8.6.4 Four Notes on Topics in Analysis -- 8.6.5 Linear Functional Analysis -- 8.7 Family, Friends and Social Life -- Chapter 9 Hausdorff's Life during the Nazi Dictatorship -- 9.1 Up to the Pogrom of November 1938 -- 9.1.1 Impact on Mathematics in Bonn -- 9.1.2 Käthe Schmid, Hausdorff's Cousin -- 9.1.3 In the Wake of the Nuremberg Racial Laws -- 9.2 Hausdorff's Mathematical Works -- 9.2.1 On δs-Functions -- 9.2.2 On Inner Mappings -- 9.2.3 Closure Spaces -- 9.2.4 Independent Subsets and Mappings -- 9.2.5 Injective Continuous Images of Zero-Dimensional Space -- 9.2.6 Extensions of Continuous Mappings -- 9.3 The Fate of Hausdorff's Mengenlehre -- 9.4 The Final Years -- 9.4.1 The Outbreak of Terror -- 9.4.2 Taking Refuge in Mathematics -- 9.4.3 Loyal Friends -- 9.4.4 Awaiting the End -- 9.5 Fate of Family, Friends, and the Estate -- Bibliography -- Name Index. |
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