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Felix Berezin : life and death of the mastermind of supermathematics / / editor, M. Shifman
| Felix Berezin : life and death of the mastermind of supermathematics / / editor, M. Shifman |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (258 p.) |
| Disciplina | 510.92 |
| Altri autori (Persone) | ShifmanMikhail A |
| Soggetto topico |
Mathematicians - Russia (Federation)
Supersymmetry |
| ISBN |
1-281-12146-0
9786611121464 981-277-048-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword M. Shifman; General acknowledgments; Additional acknowledgments; List of contributors; CONTENTS; Part I; From Berezin Integral to Batalin-Vilkovisky Formalism: A Mathematical Physicist's Point of View A ndrei Los ev; Felix Aleksandrovich Berezin: A Brief Scientific Biography Robert Minlos; Part II; On a envie de parler ... Natalie Berezin; The Last Journey. Remembering F.A. Berezin Elena Karpel; Remembering Alik Berezin Victor Maslov; On Berezin Misha Shubin; My Recollections on Berezin Anatoly Vershik; About Alik Berezin and Some of His Works. Ten Years Later 161 Anatoly Vershik
Reminiscences of a Close Friend Nikita VvedenskayaMy Encounters with Felix Aleksandrovich Berezin: Snapshots of Our Life in the 1960's' '70's and Beyond Dmitri Gitman; About Alik Berezin and His Time Victor Palamodov; With and Without Felix Berezin Dimitri Leites; Part III From Felix Berezin's Archives; Letter to Academician R.V. Khokhlov, the Rector of the Moscow State University; Letter to the Governing Board of the Moscow Mathematical Society; From Wikipedia |
| Record Nr. | UNINA-9910821716503321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Felix Hausdorff : Mathematician, Philosopher, Man of Letters
| Felix Hausdorff : Mathematician, Philosopher, Man of Letters |
| Autore | Brieskorn Egbert |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing AG, , 2024 |
| Descrizione fisica | 1 online resource (512 pages) |
| Disciplina | 510.92 |
| Altri autori (Persone) |
PurkertWalter
RoweDavid |
| Collana | Vita Mathematica Series |
| ISBN | 3-031-52135-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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 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. |
| Record Nr. | UNINA-9910847082703321 |
Brieskorn Egbert
|
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| Cham : , : Springer International Publishing AG, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Felix Klein : visions for mathematics, applications, and education / / Renate Tobies ; revised by the author and translated by Valentine A. Pakis
| Felix Klein : visions for mathematics, applications, and education / / Renate Tobies ; revised by the author and translated by Valentine A. Pakis |
| Autore | Tobies Renate |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (697 pages) |
| Disciplina | 510.92 |
| Collana | Vita Mathematica |
| Soggetto topico |
Matemàtics
Mathematicians - Germany Reformers - Germany |
| Soggetto genere / forma |
Biografies
Llibres electrònics |
| ISBN | 3-030-75785-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- PREFACE -- CONTENTS -- 1 INTRODUCTION -- 1.1 THE STATE OF RESEARCH -- 1.2 GUIDING QUESTIONS -- 1.3 EDITORIAL REMARKS -- Acknowledgements -- 2 FORMATIVE GROUPS -- 2.1 THE KLEIN-KAYSER FAMILY -- 2.1.1 A Royalist and Frugal Westphalian Upbringing -- 2.1.2 Talent in School and Wide Interests as Gifts from His Mother's Side -- 2.1.3 Felix Klein and His Siblings -- 2.2 SCHOOL YEARS IN DÜSSELDORF -- 2.2.1 Earning His Abitur from a Gymnasium at the Age of Sixteen -- 2.2.2 Examination Questions in Mathematics -- 2.2.3 Interests in Natural Science During His School Years -- 2.3 STUDIES AND DOCTORATE IN BONN -- 2.3.1 Coursework and Seminar Awards -- 2.3.2 Assistantship and a Reward for Winning a Physics Contest -- 2.3.3 Assisting Julius Plücker's Research in Geometry -- 2.3.4 Doctoral Procedure -- 2.4 JOINING ALFRED CLEBSCH'S THOUGHT COMMUNITY -- 2.4.1 The Clebsch School -- 2.4.2 The Journal Mathematische Annalen -- 2.4.3 Articles on Line Geometry, 1869 -- 2.5 BROADENING HIS HORIZONS IN BERLIN -- 2.5.1 The Professors in Berlin and Felix Klein -- 2.5.2 Acquaintances from the Mathematical Union: Kiepert, Lie, Stolz -- 2.5.3 Cayley's Metric and Klein's Non-Euclidean Interpretation -- 2.6 IN PARIS WITH SOPHUS LIE -- 2.6.1 Felix Klein and French Mathematicians -- 2.6.2 Collaborative Work with Sophus Lie -- 2.6.2.1 Notes on W-Configurations -- 2.6.2.2 Principal Tangent Curves of the Kummer Surface -- 2.6.3 A Report on Mathematics in Paris -- 2.7 THE FRANCO-PRUSSIAN WAR AND KLEIN'S HABILITATION -- 2.7.1 Wartime Service as a Paramedic and Its Effects -- 2.7.2 Habilitation -- 2.8 TIME AS A PRIVATDOZENT IN GÖTTINGEN -- 2.8.1 Klein's Teaching Activity and Its Context -- 2.8.2 An Overview of Klein's Research Results as a Privatdozent -- 2.8.3 Discussion Groups -- 2.8.3.1 A Three-Man Club with Clebsch and Riecke.
2.8.3.2 The Mathematical and Natural-Scientific Student Union -- 2.8.3.3 A Scientific Circle: Eskimo -- 2.8.3.4 The "Social Activity" of Bringing Mathematicians Together -- 3 A PROFESSORSHIP AT THE UNIVERSITY OF ERLANGEN -- 3.1 RESEARCH TRENDS AND DOCTORAL STUDENTS -- 3.1.1 The Vision of the Erlangen Program -- 3.1.2 Klein's Students in Erlangen -- 3.1.3 New Research Trends -- 3.1.3.1 On a New Type of Riemann Surface -- 3.1.3.2 The Theory of Equations -- 3.2 INAUGURAL LECTURE: A PLAN FOR MATHEMATICAL EDUCATION -- 3.3 FIRST TRIP TO GREAT BRITAIN, 1873 -- 3.4 TRIPS TO ITALY -- 3.5 DEVELOPING THE MATHEMATICAL INSTITUTION -- 3.6 FAMILY MATTERS -- 3.6.1 His Friends Marry and Klein Follows Suit -- 3.6.2 Klein's Father-in-Law, the Historian Karl Hegel -- 3.6.3 Anna Hegel, Felix Klein, and Their Family -- 4 A PROFESSORSHIP AT THE POLYTECHNIKUM IN MUNICH -- 4.1 A NEW INSTITUTE AND NEW TEACHING ACTIVITY -- 4.1.1 Creating a Mathematical Institute -- 4.1.2 Reorganizing the Curriculum -- 4.2 DEVELOPING HIS MATHEMATICAL INDIVIDUALITY -- 4.2.1 The Icosahedron Equation -- 4.2.2 Number Theory -- 4.2.3 Elliptic Modular Functions -- 4.2.4 Klein's Circle of Students in Munich -- 4.2.4.1 Phase I: 1875-1876 -- 4.2.4.2 Phase II: 1876-1880 -- 4.3 DISCUSSION GROUPS IN MUNICH -- 4.3.1 A Mathematical Discussion Group with Engineers and Natural Scientists -- 4.3.2 The Mathematical Student Union and the Mathematical Society -- 4.3.3 The Meeting of Natural Scientists in Munich, 1877 -- 4.4 "READY AGAIN FOR A UNIVERSITY IN A SMALL CITY" -- 5 A PROFESSORSHIP FOR GEOMETRY IN LEIPZIG -- 5.1 KLEIN'S START IN LEIPZIG AND HIS INAUGURAL ADDRESS -- 5.2 CREATING A NEW MATHEMATICAL INSTITUTION -- 5.3 TEACHING PROGRAM -- 5.3.1 Lectures: Organization, Reorientation, and Deviation from the Plan -- 5.3.2 The Mathematical Colloquium / Exercises / Seminar -- 5.4 THE KLEINIAN "FLOCK". 5.4.1 Post-Doctoral Mathematicians -- 5.4.2 Klein's Foreign Students in Leipzig -- 5.4.2.1 The First Frenchman and the First Briton -- 5.4.2.2 The First Americans -- 5.4.2.3 The Italians -- 5.4.2.4 Mathematicians from Switzerland and Austria-Hungary -- 5.4.2.5 Russian and Other Eastern European Contacts -- 5.5 FIELDS OF RESEARCH -- 5.5.1 Mathematical Physics / Physical Mathematics -- 5.5.1.1 Lamé's Function, Potential Theory, and Carl Neumann -- 5.5.1.2 On Riemann's Theory of Algebraic Functions and Their Integrals -- 5.5.2 Looking Toward Berlin -- 5.5.2.1 Gathering Sources -- 5.5.2.2 The Dirichlet Principle -- 5.5.2.3 Klein's Seminar on the Theory of Abelian Functions (1882) -- 5.5.2.4 Openness vs. Partiality -- 5.5.3 Looking Toward France -- 5.5.3.1 French Contributors to Mathematische Annalen -- 5.5.3.2 Klein's Correspondence with Poincaré -- 5.5.4 Three Fundamental Theorems -- 5.5.4.1 The Loop-Cut Theorem (Rückkehrschnitttheorem) -- 5.5.4.2 Theorem of the Limit-Circle (Grenzkreistheorem) -- 5.5.4.3 The (General) Fundamental Theorem -- 5.5.4.4 Remarks on the Proofs -- 5.5.5 The Polemic about and with Lazarus Fuchs -- 5.5.6 The Icosahedron Book -- 5.5.7 A Book on the Theory of Elliptic Modular Functions -- 5.5.7.1 Supplementing the Theory -- 5.5.7.2 Who Should Be the Editor? - Georg Pick -- 5.5.8 Hyperelliptic and Abelian Functions -- 5.6 FELIX KLEIN AND ALFRED ACKERMANN-TEUBNER -- 5.7 FELIX KLEIN IN LEIPZIG'S INTELLECTUAL COMMUNITIES -- 5.7.1 A Mathematicians' Circle -- 5.7.2 The Societas Jablonoviana -- 5.7.3 The Royal Saxon Society of Sciences in Leipzig -- 5.8 TURNING HIS BACK ON LEIPZIG -- 5.8.1 Weighing Offers from Oxford and Johns Hopkins -- 5.8.2 The Physicist Eduard Riecke Arranges Klein's Move to Göttingen -- 5.8.3 The Appointment of Sophus Lie as Klein's Successor - and the Reactions. 6 THE START OF KLEIN'S PROFESSORSHIP IN GÖTTINGEN, 1886-1892 -- 6.1 FAMILY CONSIDERATIONS -- 6.2 DEALING WITH COLLEAGUES, TEACHING, AND CURRICULUM PLANNING -- 6.2.1 The Relationship Between Klein and Schwarz -- 6.2.2 The Göttingen Privatdozenten Hölder and Schoenflies -- 6.2.3 Klein's Teaching in Context -- 6.3 INDEPENDENT AND COLLABORATIVE RESEARCH -- 6.3.1 The Theory of Finite Groups of Linear Substitutions: The Theory of Solving Equations of Higher Degree -- 6.3.2 Hyperelliptic and Abelian Functions -- 6.3.3 The Theory of Elliptic Modular Functions (Monograph) -- 6.3.4 The Theory of Automorphic Functions (Monograph) -- 6.3.5 The Theory of Lamé Functions and Potential Theory -- 6.3.6 Refreshing His Work on Geometry -- 6.3.7 Visions: Internationality, Crystallography, Hilbert's Invariant Theory -- 6.3.7.1 An Eye on Developments Abroad -- 6.3.7.2 Arthur Schoenflies and Crystallography -- 6.3.7.3 Felix Klein and Hilbert's Invariant Theory -- 6.4 BRINGING PEOPLE AND INSTITUTIONS TOGETHER -- 6.4.1 The Professorium in Göttingen -- 6.4.2 A Proposal to Relocate the Technische Hochschule in Hanover to Göttingen -- 6.4.3 The Idea of Reorganizing the Göttingen Society of Sciences -- 6.4.4 Felix Klein and the Founding of the German Mathematical Society -- 6.5 THE PIVOTAL YEAR OF 1892 -- 6.5.1 Refilling Vacant Professorships in Prussia -- 6.5.1.1 Berlin, Breslau, and Klein's System for Classifying Styles of Thought -- 6.5.1.2 Hiring a Successor for H.A. Schwarz in Göttingen -- 6.5.2 A Job Offer from the University of Munich and the Consequences -- 7 SETTING THE COURSE, 1892/93-1895 -- 7.1 KLEIN'S ASSISTANTS AND HIS PRINCIPLES FOR CHOOSING THEM -- 7.2 THE GÖTTINGEN MATHEMATICAL SOCIETY -- 7.3 TURNING TO SECONDARY SCHOOL TEACHERS -- 7.4 A TRIP TO THE UNITED STATES -- 7.4.1 The World's Fair in Chicago and the Mathematical Congress. 7.4.2 Twelve Lectures by Klein: The Evanston Colloquium -- 7.4.3 Traveling from University to University -- 7.4.4 Repercussions -- 7.5 THE BEGINNINGS OF WOMEN STUDYING MATHEMATICS -- 7.6 ACTUARIAL MATHEMATICS AS A COURSE OF STUDY -- 7.7 CONTACTING ENGINEERS AND INDUSTRIALISTS -- 7.8 THE ENCYKLOPÄDIE PROJECT -- 7.9 KLEIN SUCCEEDS IN HIRING DAVID HILBERT -- 8 THE FRUITS OF KLEIN'S EFFORTS, 1895-1913 -- 8.1 A CENTER FOR MATHEMATICS, NATURAL SCIENCES, AND TECHNOLOGY -- 8.1.1 The Göttingen Association -- 8.1.2 Applied Mathematics in the New Examination Regulations and the Consequences -- 8.1.3 Aeronautical Research -- 8.2 MAINTAINING HIS SCIENTIFIC REPUTATION -- 8.2.1 Automorphic Functions (Monograph) -- 8.2.2 Geometric Number Theory -- 8.2.3 A Monograph on the Theory of the Spinning Top -- 8.2.4 Inspiring Ideas in the Fields of Mathematical Physics and Technology -- 8.2.4.1 Hydrodynamics / Hydraulics -- 8.2.4.2 Statics -- 8.2.4.3 The Theory of Friction -- 8.2.4.4 The Special Theory of Relativity -- 8.3 PROGRAM: THE HISTORY, PHILOSOPHY, PSYCHOLOGY, ANDINSTRUCTION OF MATHEMATICS -- 8.3.1 The History of Mathematics -- 8.3.2 Philosophical Aspects -- 8.3.3 Psychological-Epistemological Classifications -- 8.3.4 The "Kleinian" Educational Reform -- 8.3.4.1 Suggestions for Reform -- 8.3.4.2 A Polemic about the Teaching of Analysis at the University -- 8.4 INTERNATIONAL SCIENTIFIC COOPERATION -- 8.5 EARLY RETIREMENT AND HONORS -- 8.5.1 Recovering and Working in the Hahnenklee Sanatorium -- 8.5.2 Max Liebermann's Portrait of Felix Klein -- 8.5.3 The Successors to Klein's Professorship -- 9 THE FIRST WORLD WAR AND THE POSTWAR PERIOD -- 9.1 POLITICAL ACTIVITY DURING THE FIRST WORLD WAR -- 9.1.1 The Vows of Allegiance of German Professors to Militarism -- 9.1.2 A Plea for Studying Abroad. 9.2 HISTORY OF MATHEMATICS, THE "CRY FOR HELP OF MODERNPHYSICS," AND EDITION PROJECTS. |
| Record Nr. | UNISA-996466414903316 |
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Tobies Renate
|
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Felix Klein : visions for mathematics, applications, and education / / Renate Tobies ; revised by the author and translated by Valentine A. Pakis
| Felix Klein : visions for mathematics, applications, and education / / Renate Tobies ; revised by the author and translated by Valentine A. Pakis |
| Autore | Tobies Renate |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (697 pages) |
| Disciplina | 510.92 |
| Collana | Vita Mathematica |
| Soggetto topico |
Matemàtics
Mathematicians - Germany Reformers - Germany |
| Soggetto genere / forma |
Biografies
Llibres electrònics |
| ISBN | 3-030-75785-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- PREFACE -- CONTENTS -- 1 INTRODUCTION -- 1.1 THE STATE OF RESEARCH -- 1.2 GUIDING QUESTIONS -- 1.3 EDITORIAL REMARKS -- Acknowledgements -- 2 FORMATIVE GROUPS -- 2.1 THE KLEIN-KAYSER FAMILY -- 2.1.1 A Royalist and Frugal Westphalian Upbringing -- 2.1.2 Talent in School and Wide Interests as Gifts from His Mother's Side -- 2.1.3 Felix Klein and His Siblings -- 2.2 SCHOOL YEARS IN DÜSSELDORF -- 2.2.1 Earning His Abitur from a Gymnasium at the Age of Sixteen -- 2.2.2 Examination Questions in Mathematics -- 2.2.3 Interests in Natural Science During His School Years -- 2.3 STUDIES AND DOCTORATE IN BONN -- 2.3.1 Coursework and Seminar Awards -- 2.3.2 Assistantship and a Reward for Winning a Physics Contest -- 2.3.3 Assisting Julius Plücker's Research in Geometry -- 2.3.4 Doctoral Procedure -- 2.4 JOINING ALFRED CLEBSCH'S THOUGHT COMMUNITY -- 2.4.1 The Clebsch School -- 2.4.2 The Journal Mathematische Annalen -- 2.4.3 Articles on Line Geometry, 1869 -- 2.5 BROADENING HIS HORIZONS IN BERLIN -- 2.5.1 The Professors in Berlin and Felix Klein -- 2.5.2 Acquaintances from the Mathematical Union: Kiepert, Lie, Stolz -- 2.5.3 Cayley's Metric and Klein's Non-Euclidean Interpretation -- 2.6 IN PARIS WITH SOPHUS LIE -- 2.6.1 Felix Klein and French Mathematicians -- 2.6.2 Collaborative Work with Sophus Lie -- 2.6.2.1 Notes on W-Configurations -- 2.6.2.2 Principal Tangent Curves of the Kummer Surface -- 2.6.3 A Report on Mathematics in Paris -- 2.7 THE FRANCO-PRUSSIAN WAR AND KLEIN'S HABILITATION -- 2.7.1 Wartime Service as a Paramedic and Its Effects -- 2.7.2 Habilitation -- 2.8 TIME AS A PRIVATDOZENT IN GÖTTINGEN -- 2.8.1 Klein's Teaching Activity and Its Context -- 2.8.2 An Overview of Klein's Research Results as a Privatdozent -- 2.8.3 Discussion Groups -- 2.8.3.1 A Three-Man Club with Clebsch and Riecke.
2.8.3.2 The Mathematical and Natural-Scientific Student Union -- 2.8.3.3 A Scientific Circle: Eskimo -- 2.8.3.4 The "Social Activity" of Bringing Mathematicians Together -- 3 A PROFESSORSHIP AT THE UNIVERSITY OF ERLANGEN -- 3.1 RESEARCH TRENDS AND DOCTORAL STUDENTS -- 3.1.1 The Vision of the Erlangen Program -- 3.1.2 Klein's Students in Erlangen -- 3.1.3 New Research Trends -- 3.1.3.1 On a New Type of Riemann Surface -- 3.1.3.2 The Theory of Equations -- 3.2 INAUGURAL LECTURE: A PLAN FOR MATHEMATICAL EDUCATION -- 3.3 FIRST TRIP TO GREAT BRITAIN, 1873 -- 3.4 TRIPS TO ITALY -- 3.5 DEVELOPING THE MATHEMATICAL INSTITUTION -- 3.6 FAMILY MATTERS -- 3.6.1 His Friends Marry and Klein Follows Suit -- 3.6.2 Klein's Father-in-Law, the Historian Karl Hegel -- 3.6.3 Anna Hegel, Felix Klein, and Their Family -- 4 A PROFESSORSHIP AT THE POLYTECHNIKUM IN MUNICH -- 4.1 A NEW INSTITUTE AND NEW TEACHING ACTIVITY -- 4.1.1 Creating a Mathematical Institute -- 4.1.2 Reorganizing the Curriculum -- 4.2 DEVELOPING HIS MATHEMATICAL INDIVIDUALITY -- 4.2.1 The Icosahedron Equation -- 4.2.2 Number Theory -- 4.2.3 Elliptic Modular Functions -- 4.2.4 Klein's Circle of Students in Munich -- 4.2.4.1 Phase I: 1875-1876 -- 4.2.4.2 Phase II: 1876-1880 -- 4.3 DISCUSSION GROUPS IN MUNICH -- 4.3.1 A Mathematical Discussion Group with Engineers and Natural Scientists -- 4.3.2 The Mathematical Student Union and the Mathematical Society -- 4.3.3 The Meeting of Natural Scientists in Munich, 1877 -- 4.4 "READY AGAIN FOR A UNIVERSITY IN A SMALL CITY" -- 5 A PROFESSORSHIP FOR GEOMETRY IN LEIPZIG -- 5.1 KLEIN'S START IN LEIPZIG AND HIS INAUGURAL ADDRESS -- 5.2 CREATING A NEW MATHEMATICAL INSTITUTION -- 5.3 TEACHING PROGRAM -- 5.3.1 Lectures: Organization, Reorientation, and Deviation from the Plan -- 5.3.2 The Mathematical Colloquium / Exercises / Seminar -- 5.4 THE KLEINIAN "FLOCK". 5.4.1 Post-Doctoral Mathematicians -- 5.4.2 Klein's Foreign Students in Leipzig -- 5.4.2.1 The First Frenchman and the First Briton -- 5.4.2.2 The First Americans -- 5.4.2.3 The Italians -- 5.4.2.4 Mathematicians from Switzerland and Austria-Hungary -- 5.4.2.5 Russian and Other Eastern European Contacts -- 5.5 FIELDS OF RESEARCH -- 5.5.1 Mathematical Physics / Physical Mathematics -- 5.5.1.1 Lamé's Function, Potential Theory, and Carl Neumann -- 5.5.1.2 On Riemann's Theory of Algebraic Functions and Their Integrals -- 5.5.2 Looking Toward Berlin -- 5.5.2.1 Gathering Sources -- 5.5.2.2 The Dirichlet Principle -- 5.5.2.3 Klein's Seminar on the Theory of Abelian Functions (1882) -- 5.5.2.4 Openness vs. Partiality -- 5.5.3 Looking Toward France -- 5.5.3.1 French Contributors to Mathematische Annalen -- 5.5.3.2 Klein's Correspondence with Poincaré -- 5.5.4 Three Fundamental Theorems -- 5.5.4.1 The Loop-Cut Theorem (Rückkehrschnitttheorem) -- 5.5.4.2 Theorem of the Limit-Circle (Grenzkreistheorem) -- 5.5.4.3 The (General) Fundamental Theorem -- 5.5.4.4 Remarks on the Proofs -- 5.5.5 The Polemic about and with Lazarus Fuchs -- 5.5.6 The Icosahedron Book -- 5.5.7 A Book on the Theory of Elliptic Modular Functions -- 5.5.7.1 Supplementing the Theory -- 5.5.7.2 Who Should Be the Editor? - Georg Pick -- 5.5.8 Hyperelliptic and Abelian Functions -- 5.6 FELIX KLEIN AND ALFRED ACKERMANN-TEUBNER -- 5.7 FELIX KLEIN IN LEIPZIG'S INTELLECTUAL COMMUNITIES -- 5.7.1 A Mathematicians' Circle -- 5.7.2 The Societas Jablonoviana -- 5.7.3 The Royal Saxon Society of Sciences in Leipzig -- 5.8 TURNING HIS BACK ON LEIPZIG -- 5.8.1 Weighing Offers from Oxford and Johns Hopkins -- 5.8.2 The Physicist Eduard Riecke Arranges Klein's Move to Göttingen -- 5.8.3 The Appointment of Sophus Lie as Klein's Successor - and the Reactions. 6 THE START OF KLEIN'S PROFESSORSHIP IN GÖTTINGEN, 1886-1892 -- 6.1 FAMILY CONSIDERATIONS -- 6.2 DEALING WITH COLLEAGUES, TEACHING, AND CURRICULUM PLANNING -- 6.2.1 The Relationship Between Klein and Schwarz -- 6.2.2 The Göttingen Privatdozenten Hölder and Schoenflies -- 6.2.3 Klein's Teaching in Context -- 6.3 INDEPENDENT AND COLLABORATIVE RESEARCH -- 6.3.1 The Theory of Finite Groups of Linear Substitutions: The Theory of Solving Equations of Higher Degree -- 6.3.2 Hyperelliptic and Abelian Functions -- 6.3.3 The Theory of Elliptic Modular Functions (Monograph) -- 6.3.4 The Theory of Automorphic Functions (Monograph) -- 6.3.5 The Theory of Lamé Functions and Potential Theory -- 6.3.6 Refreshing His Work on Geometry -- 6.3.7 Visions: Internationality, Crystallography, Hilbert's Invariant Theory -- 6.3.7.1 An Eye on Developments Abroad -- 6.3.7.2 Arthur Schoenflies and Crystallography -- 6.3.7.3 Felix Klein and Hilbert's Invariant Theory -- 6.4 BRINGING PEOPLE AND INSTITUTIONS TOGETHER -- 6.4.1 The Professorium in Göttingen -- 6.4.2 A Proposal to Relocate the Technische Hochschule in Hanover to Göttingen -- 6.4.3 The Idea of Reorganizing the Göttingen Society of Sciences -- 6.4.4 Felix Klein and the Founding of the German Mathematical Society -- 6.5 THE PIVOTAL YEAR OF 1892 -- 6.5.1 Refilling Vacant Professorships in Prussia -- 6.5.1.1 Berlin, Breslau, and Klein's System for Classifying Styles of Thought -- 6.5.1.2 Hiring a Successor for H.A. Schwarz in Göttingen -- 6.5.2 A Job Offer from the University of Munich and the Consequences -- 7 SETTING THE COURSE, 1892/93-1895 -- 7.1 KLEIN'S ASSISTANTS AND HIS PRINCIPLES FOR CHOOSING THEM -- 7.2 THE GÖTTINGEN MATHEMATICAL SOCIETY -- 7.3 TURNING TO SECONDARY SCHOOL TEACHERS -- 7.4 A TRIP TO THE UNITED STATES -- 7.4.1 The World's Fair in Chicago and the Mathematical Congress. 7.4.2 Twelve Lectures by Klein: The Evanston Colloquium -- 7.4.3 Traveling from University to University -- 7.4.4 Repercussions -- 7.5 THE BEGINNINGS OF WOMEN STUDYING MATHEMATICS -- 7.6 ACTUARIAL MATHEMATICS AS A COURSE OF STUDY -- 7.7 CONTACTING ENGINEERS AND INDUSTRIALISTS -- 7.8 THE ENCYKLOPÄDIE PROJECT -- 7.9 KLEIN SUCCEEDS IN HIRING DAVID HILBERT -- 8 THE FRUITS OF KLEIN'S EFFORTS, 1895-1913 -- 8.1 A CENTER FOR MATHEMATICS, NATURAL SCIENCES, AND TECHNOLOGY -- 8.1.1 The Göttingen Association -- 8.1.2 Applied Mathematics in the New Examination Regulations and the Consequences -- 8.1.3 Aeronautical Research -- 8.2 MAINTAINING HIS SCIENTIFIC REPUTATION -- 8.2.1 Automorphic Functions (Monograph) -- 8.2.2 Geometric Number Theory -- 8.2.3 A Monograph on the Theory of the Spinning Top -- 8.2.4 Inspiring Ideas in the Fields of Mathematical Physics and Technology -- 8.2.4.1 Hydrodynamics / Hydraulics -- 8.2.4.2 Statics -- 8.2.4.3 The Theory of Friction -- 8.2.4.4 The Special Theory of Relativity -- 8.3 PROGRAM: THE HISTORY, PHILOSOPHY, PSYCHOLOGY, ANDINSTRUCTION OF MATHEMATICS -- 8.3.1 The History of Mathematics -- 8.3.2 Philosophical Aspects -- 8.3.3 Psychological-Epistemological Classifications -- 8.3.4 The "Kleinian" Educational Reform -- 8.3.4.1 Suggestions for Reform -- 8.3.4.2 A Polemic about the Teaching of Analysis at the University -- 8.4 INTERNATIONAL SCIENTIFIC COOPERATION -- 8.5 EARLY RETIREMENT AND HONORS -- 8.5.1 Recovering and Working in the Hahnenklee Sanatorium -- 8.5.2 Max Liebermann's Portrait of Felix Klein -- 8.5.3 The Successors to Klein's Professorship -- 9 THE FIRST WORLD WAR AND THE POSTWAR PERIOD -- 9.1 POLITICAL ACTIVITY DURING THE FIRST WORLD WAR -- 9.1.1 The Vows of Allegiance of German Professors to Militarism -- 9.1.2 A Plea for Studying Abroad. 9.2 HISTORY OF MATHEMATICS, THE "CRY FOR HELP OF MODERNPHYSICS," AND EDITION PROJECTS. |
| Record Nr. | UNINA-9910488722403321 |
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Tobies Renate
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Francesco Brioschi (1824-1897) : convegno di studi matematici : 22-23 ottobre 1997 / [comitato scientifico: Luigi Amerio ... et al.]
| Francesco Brioschi (1824-1897) : convegno di studi matematici : 22-23 ottobre 1997 / [comitato scientifico: Luigi Amerio ... et al.] |
| Pubbl/distr/stampa | Milano : Istituto lombardo di scienze e lettere, 1999 |
| Descrizione fisica | 352 p. : ill. 24 cm |
| Disciplina | 510.92 |
| Altri autori (Persone) | Amerio, Luigiauthor |
| Altri autori (Enti) | Istituto lombardo : Accademia di scienze e lettere |
| Collana |
Incontro di studio ; 16
Incontro di studio / Istituto Lombardo, Accademia di Scienze e lettere ; 16 |
| Soggetto (Persona) | Brioschi, Francesco <1824-1897> |
| Soggetto topico | Mathematics - History |
| Classificazione |
AMS 01A-XX
AMS 00B-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991004280637607536 |
| Milano : Istituto lombardo di scienze e lettere, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Francesco Brioschi (1824-1897) : convegno di studi matematici : 22-23 ottobre 1997 / Luigi Amerio ... [et al.]
| Francesco Brioschi (1824-1897) : convegno di studi matematici : 22-23 ottobre 1997 / Luigi Amerio ... [et al.] |
| Pubbl/distr/stampa | Milano, : Istituto Lombardo di Scienze e Lettere, 1999 |
| Descrizione fisica | 352 p. ; 24 cm |
| Disciplina | 510.92 |
| Collana | Incontri di studio |
| Soggetto non controllato | Matematica - Congressi |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione |
ita
fre eng |
| Titolo uniforme | |
| Record Nr. | UNIPARTHENOPE-000035713 |
| Milano, : Istituto Lombardo di Scienze e Lettere, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Parthenope | ||
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Gaspard Monge : padre dell'ingegnere contemporaneo / Vito Cardone
| Gaspard Monge : padre dell'ingegnere contemporaneo / Vito Cardone |
| Autore | CARDONE, Vito |
| Pubbl/distr/stampa | Roma, : Tipografia del Genio Civile, 2017 |
| Descrizione fisica | 238 p. : ill. ; 21 cm |
| Disciplina | 510.92 |
| Soggetto (Persona) | Monge, Garpard |
| ISBN | 978-88-496-3121-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISA-996239349503316 |
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CARDONE, Vito
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| Roma, : Tipografia del Genio Civile, 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Gaspard Monge : scienziato della rivoluzione / Vito Cardone
| Gaspard Monge : scienziato della rivoluzione / Vito Cardone |
| Autore | Cardone, Vito |
| Pubbl/distr/stampa | Napoli, : CUEN, 1996 |
| Descrizione fisica | 152 p. : ill. ; 17 cm. |
| Disciplina | 510.92 |
| Collana | Tessere |
| Soggetto topico | Monge, Gaspard <1784-1873> |
| ISBN | 8871463188 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISANNIO-REA0036854 |
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Cardone, Vito
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| Napoli, : CUEN, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
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Gaspard Monge scienziato della rivoluzione / Vito Cardone
| Gaspard Monge scienziato della rivoluzione / Vito Cardone |
| Autore | CARDONE, Vito |
| Pubbl/distr/stampa | Napoli, : CUEN, copyr. 1996 |
| Descrizione fisica | 152 p. ; 17 cm |
| Disciplina | 510.92 |
| Collana | Tessere, Profili |
| Soggetto (Persona) | Monge, Gaspard |
| ISBN | 88-7146-318-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISA-990006033220203316 |
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CARDONE, Vito
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| Napoli, : CUEN, copyr. 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Gauss : a biographical study / W.K. Bühler
| Gauss : a biographical study / W.K. Bühler |
| Autore | BÜHLER, Walter Kaufmann |
| Pubbl/distr/stampa | Berlin : Springer, copyr. 1981 |
| Descrizione fisica | VIII, 208 p. ; 24 cm |
| Disciplina | 510.92 |
| Soggetto (Persona) | GAUSS, Friedrich |
| Soggetto topico | Matematica |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990003235170203316 |
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BÜHLER, Walter Kaufmann
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| Berlin : Springer, copyr. 1981 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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