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A History of Folding in Mathematics : Mathematizing the Margins / / by Michael Friedman
| A History of Folding in Mathematics : Mathematizing the Margins / / by Michael Friedman |
| Autore | Friedman Michael |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Descrizione fisica | 1 online resource (430 pages) |
| Disciplina | 510.9 |
| Collana | Science Networks. Historical Studies |
| Soggetto topico |
Mathematics
History Geometry Mathematical logic History of Mathematical Sciences History of Science Mathematical Logic and Foundations |
| ISBN | 3-319-72487-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- From the 16th Century Onwards: Folding Polyhedra. New Epistemological Horizons? -- Prolog to the 19th Century: Accepting Folding as a Method of Inference -- The 19th Century – What Can and Cannot be (Re)presented: On Models and Kindergartens -- Towards the Axiomatization, Operationalization and Algebraization of the Fold -- The Axiomatization(s) of the Fold -- Appendix I: Margherita Beloch Piazzolla: “Alcune applicazioni del metodo del ripiegamento della carta di Sundara Row” -- Appendix II: Deleuze, Leibniz and the Unmathematical Fold -- Bibliography -- List of Figures. |
| Record Nr. | UNINA-9910300121403321 |
Friedman Michael
|
||
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Model and mathematics : from the 19th to the 21st century / / editors, Michael Friedman, Karin Krauthausen
| Model and mathematics : from the 19th to the 21st century / / editors, Michael Friedman, Karin Krauthausen |
| Autore | Friedman Michael |
| Pubbl/distr/stampa | Cham, : Springer Nature, 2022 |
| Descrizione fisica | 1 online resource (vi, 445 pages) : illustrations (some color) |
| Altri autori (Persone) | KrauthausenKarin |
| Collana | Trends in the history of science |
| Soggetto topico |
Mathematical models - History
Models matemàtics Història |
| Soggetto genere / forma | Llibres electrònics |
| Soggetto non controllato |
history of mathematics: 19th to the 21st century
mathematical model model theory mathematization of nature |
| ISBN | 3-030-97833-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | How to Grasp an Abstraction: Mathematical Models and Their Vicissitudes between 1830 and 1950. Introduction Knowing by Drawing: Geometric Material Models in 19th Century France Wilhelm Fiedler and his Models — the Polytechnic Side Models from the Nineteenth Century Used for Visualizing Optical Phenomena and Line Geometry Modeling Parallel Transport The great yogurt project: models and symmetry principles in early particle physics Interview with Myfanwy Evans: Entanglements on and Models of Periodic Minimal Surfaces The dialectics archetypes / types (universal categorical constructions / concrete models) in the work of Alexander Grothendieck‘ Analogies,’ ‘Interpretations,’ ‘Images,’ ‘Systems’ and ‘Models’: Some Remarks on the History of Abstract Representation in the Sciences since the Nineteenth Century Mappings, Models, Abstraction, and Imaging: Mathematical Contributions to Modern Thinking circa 1900Thinking with Notations: Epistemic Actions and Epistemic Activities in Mathematical Practice Matrices – Compensating the Loss of Anschauung Interview with Anja Sattelmacher: Between Viewing and Touching – Models and Their Materiality Interview with Ulf Hashagen: Exhibitions and Mathematical Models in the 19th and 20th Centuries Interview with Andreas Daniel Matt: Real-Time Mathematics |
| Record Nr. | UNISA-996485661103316 |
|
Friedman Michael
|
||
| Cham, : Springer Nature, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Model and mathematics : from the 19th to the 21st century / / editors, Michael Friedman, Karin Krauthausen
| Model and mathematics : from the 19th to the 21st century / / editors, Michael Friedman, Karin Krauthausen |
| Autore | Friedman Michael |
| Pubbl/distr/stampa | Cham, : Springer Nature, 2022 |
| Descrizione fisica | 1 online resource (vi, 445 pages) : illustrations (some color) |
| Altri autori (Persone) | KrauthausenKarin |
| Collana | Trends in the history of science |
| Soggetto topico |
Mathematical models - History
Models matemàtics Història |
| Soggetto genere / forma | Llibres electrònics |
| Soggetto non controllato |
history of mathematics: 19th to the 21st century
mathematical model model theory mathematization of nature |
| ISBN | 3-030-97833-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | How to Grasp an Abstraction: Mathematical Models and Their Vicissitudes between 1830 and 1950. Introduction Knowing by Drawing: Geometric Material Models in 19th Century France Wilhelm Fiedler and his Models — the Polytechnic Side Models from the Nineteenth Century Used for Visualizing Optical Phenomena and Line Geometry Modeling Parallel Transport The great yogurt project: models and symmetry principles in early particle physics Interview with Myfanwy Evans: Entanglements on and Models of Periodic Minimal Surfaces The dialectics archetypes / types (universal categorical constructions / concrete models) in the work of Alexander Grothendieck‘ Analogies,’ ‘Interpretations,’ ‘Images,’ ‘Systems’ and ‘Models’: Some Remarks on the History of Abstract Representation in the Sciences since the Nineteenth Century Mappings, Models, Abstraction, and Imaging: Mathematical Contributions to Modern Thinking circa 1900Thinking with Notations: Epistemic Actions and Epistemic Activities in Mathematical Practice Matrices – Compensating the Loss of Anschauung Interview with Anja Sattelmacher: Between Viewing and Touching – Models and Their Materiality Interview with Ulf Hashagen: Exhibitions and Mathematical Models in the 19th and 20th Centuries Interview with Andreas Daniel Matt: Real-Time Mathematics |
| Record Nr. | UNINA-9910586589703321 |
|
Friedman Michael
|
||
| Cham, : Springer Nature, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ramified surfaces : on branch curves and algebraic geometry in the 20th century / / Michael Friedman
| Ramified surfaces : on branch curves and algebraic geometry in the 20th century / / Michael Friedman |
| Autore | Friedman Michael |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (258 pages) |
| Disciplina | 539.72 |
| Collana | Frontiers in the History of Science |
| Soggetto topico |
Geometry, Algebraic
Geometria algebraica Història |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031057205
9783031057199 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Acknowledgements -- Contents -- 1: Introduction -- 1.1 On Branch Points and Branch Curves -- 1.2 Dynamics of a Mathematical Object -- 1.2.1 Ephemeral Epistemic Configurations and the Identity of the Mathematical Objects -- 1.2.2 On Branch Points, Again: on Riemann´s Terminology and How (Not) to Transfer Results -- 1.2.3 On Branch Curves, Again: Plurality of Notations -- 1.2.4 Transformations Between Epistemic Configurations -- 1.3 An Overview: Historical Literature, Structure and Argument -- 1.3.1 Omitted Traditions -- 1.3.2 Structure of the Book: The Twentieth Century -- 2: Prologue: Separate Beginnings During the Nineteenth Century -- 2.1 The Beginning of the Nineteenth Century: Monge and the ``Contour Apparent´´ -- 2.2 1820s-1860s: Étienne Bobillier and George Salmon -- 2.3 1890s-1900s: Wirtinger´s and Heegaard´s Turn Towards Knot Theory -- 2.4 The End of the Nineteenth Century: A Regression Toward the Local -- 3: 1900s-1930s: Branch Curves and the Italian School of Algebraic Geometry -- 3.1 Enriques: A Plurality of Methods to Investigate the Branch Curve -- 3.1.1 Enriques on Intuition and Visualization -- 3.1.2 The Turn of the nineteenth Century: First Attempts of Classification of Surfaces -- 3.1.2.1 On Double Covers and Branch Curves -- 3.1.2.2 End of the 1890s: Enriques´s Initial Configurations -- 3.1.3 Two Papers from 1912 and the Culmination of the Classification Project -- 3.1.4 1923: After the Classification Project -- 3.2 Zariski and Segre: Novel Approaches -- 3.2.1 The Late 1920s: Zariski on Existence Theorems and the Beginning of a Group-Theoretic Approach -- 3.2.2 1930: Segre and Special Position of the Singular Points -- 3.2.3 1930-1937: Before and After Zariski´s Algebraic Surfaces -- 3.2.3.1 1935: Zariski´s Algebraic Surfaces -- 3.2.3.2 After Algebraic Surfaces.
3.3 Reflections on Rigor: Reassessment and New Definitions in the 1950s -- 3.4 Appendix to Chap. 3: Birational Maps and Genera of Curves and Surfaces -- 4: 1930s-1950s: Chisini´s Branch Curves: The Decline of the Classical Approach -- 4.1 The 1930s and Chisini´s First Conjecture -- 4.1.1 The ``Characteristic Bundle´´ -- 4.1.2 On Braids, Branch Curves and Degenerations -- 4.1.2.1 Bernard d´Orgeval in Oflag X B -- 4.1.2.2 Guido Zappa´s degenerations -- 4.1.3 Detour. 1944: Chisini´s First `Conjecture´ -- 4.2 Chisini´s Students: Isolation and Abandonment -- 4.2.1 Dedò and the New Notation of Braids -- 4.2.2 Tibiletti and the Second `Theorem´ of Chisini -- 4.3 Conclusion: Seclusion, Ignorance and Abandonment -- 4.4 Appendix to Chap. 4: A Short Introduction to the Braid Group -- 5: From the 1970s Onward: The Rise of Braid Monodromy Factorization -- 5.1 The 1960s: Generalization and Stagnation or the ``Rising Sea´´ and the Sunken Branch Curves -- 5.1.1 Detour: End of the 1950s: Abhyankar´s Conjecture -- 5.1.2 1971: The New Edition of Zariski´s Algebraic Surfaces -- 5.2 The 1970s: Livne and Moishezon on Equivalence of Factorizations -- 5.2.1 Livne´s MA Thesis from 1975 -- 5.2.2 Separations of Configurations and Shifts of Contexts -- 5.2.3 On Surfaces with and Livne´s 1981 PhD Thesis -- 5.3 Moishezon´s Program -- 5.3.1 From the USSR to Israel and to the USA -- 5.3.1.1 Moishezon's Emigration and Jewish Mathematicians in the USSR -- 5.3.2 Before Braid Monodromy: The Shafarevich School, Moishezon and the Decomposition of Algebraic Surfaces -- 5.3.3 From 1981 to 1985: (Re)introducing Braid Monodromy -- 5.3.3.1 1981: The Search for Normal Forms -- 5.3.3.2 1983/1985: The Arithmetic of Braids and the Language of Factorizations -- 5.3.3.3 Conclusion: Moishezon and Chisini -- 5.4 Moishezon and Teicher Cross the Watershed. 5.4.1 Coda: The Group-Theoretical Approach of the 1990s -- 6: Epilogue: On Ramified and Ignored Spaces -- Bibliography -- Index. |
| Record Nr. | UNISA-996490345303316 |
|
Friedman Michael
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Ramified surfaces : on branch curves and algebraic geometry in the 20th century / / Michael Friedman
| Ramified surfaces : on branch curves and algebraic geometry in the 20th century / / Michael Friedman |
| Autore | Friedman Michael |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (258 pages) |
| Disciplina | 539.72 |
| Collana | Frontiers in the History of Science |
| Soggetto topico |
Geometry, Algebraic
Geometria algebraica Història |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031057205
9783031057199 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Acknowledgements -- Contents -- 1: Introduction -- 1.1 On Branch Points and Branch Curves -- 1.2 Dynamics of a Mathematical Object -- 1.2.1 Ephemeral Epistemic Configurations and the Identity of the Mathematical Objects -- 1.2.2 On Branch Points, Again: on Riemann´s Terminology and How (Not) to Transfer Results -- 1.2.3 On Branch Curves, Again: Plurality of Notations -- 1.2.4 Transformations Between Epistemic Configurations -- 1.3 An Overview: Historical Literature, Structure and Argument -- 1.3.1 Omitted Traditions -- 1.3.2 Structure of the Book: The Twentieth Century -- 2: Prologue: Separate Beginnings During the Nineteenth Century -- 2.1 The Beginning of the Nineteenth Century: Monge and the ``Contour Apparent´´ -- 2.2 1820s-1860s: Étienne Bobillier and George Salmon -- 2.3 1890s-1900s: Wirtinger´s and Heegaard´s Turn Towards Knot Theory -- 2.4 The End of the Nineteenth Century: A Regression Toward the Local -- 3: 1900s-1930s: Branch Curves and the Italian School of Algebraic Geometry -- 3.1 Enriques: A Plurality of Methods to Investigate the Branch Curve -- 3.1.1 Enriques on Intuition and Visualization -- 3.1.2 The Turn of the nineteenth Century: First Attempts of Classification of Surfaces -- 3.1.2.1 On Double Covers and Branch Curves -- 3.1.2.2 End of the 1890s: Enriques´s Initial Configurations -- 3.1.3 Two Papers from 1912 and the Culmination of the Classification Project -- 3.1.4 1923: After the Classification Project -- 3.2 Zariski and Segre: Novel Approaches -- 3.2.1 The Late 1920s: Zariski on Existence Theorems and the Beginning of a Group-Theoretic Approach -- 3.2.2 1930: Segre and Special Position of the Singular Points -- 3.2.3 1930-1937: Before and After Zariski´s Algebraic Surfaces -- 3.2.3.1 1935: Zariski´s Algebraic Surfaces -- 3.2.3.2 After Algebraic Surfaces.
3.3 Reflections on Rigor: Reassessment and New Definitions in the 1950s -- 3.4 Appendix to Chap. 3: Birational Maps and Genera of Curves and Surfaces -- 4: 1930s-1950s: Chisini´s Branch Curves: The Decline of the Classical Approach -- 4.1 The 1930s and Chisini´s First Conjecture -- 4.1.1 The ``Characteristic Bundle´´ -- 4.1.2 On Braids, Branch Curves and Degenerations -- 4.1.2.1 Bernard d´Orgeval in Oflag X B -- 4.1.2.2 Guido Zappa´s degenerations -- 4.1.3 Detour. 1944: Chisini´s First `Conjecture´ -- 4.2 Chisini´s Students: Isolation and Abandonment -- 4.2.1 Dedò and the New Notation of Braids -- 4.2.2 Tibiletti and the Second `Theorem´ of Chisini -- 4.3 Conclusion: Seclusion, Ignorance and Abandonment -- 4.4 Appendix to Chap. 4: A Short Introduction to the Braid Group -- 5: From the 1970s Onward: The Rise of Braid Monodromy Factorization -- 5.1 The 1960s: Generalization and Stagnation or the ``Rising Sea´´ and the Sunken Branch Curves -- 5.1.1 Detour: End of the 1950s: Abhyankar´s Conjecture -- 5.1.2 1971: The New Edition of Zariski´s Algebraic Surfaces -- 5.2 The 1970s: Livne and Moishezon on Equivalence of Factorizations -- 5.2.1 Livne´s MA Thesis from 1975 -- 5.2.2 Separations of Configurations and Shifts of Contexts -- 5.2.3 On Surfaces with and Livne´s 1981 PhD Thesis -- 5.3 Moishezon´s Program -- 5.3.1 From the USSR to Israel and to the USA -- 5.3.1.1 Moishezon's Emigration and Jewish Mathematicians in the USSR -- 5.3.2 Before Braid Monodromy: The Shafarevich School, Moishezon and the Decomposition of Algebraic Surfaces -- 5.3.3 From 1981 to 1985: (Re)introducing Braid Monodromy -- 5.3.3.1 1981: The Search for Normal Forms -- 5.3.3.2 1983/1985: The Arithmetic of Braids and the Language of Factorizations -- 5.3.3.3 Conclusion: Moishezon and Chisini -- 5.4 Moishezon and Teicher Cross the Watershed. 5.4.1 Coda: The Group-Theoretical Approach of the 1990s -- 6: Epilogue: On Ramified and Ignored Spaces -- Bibliography -- Index. |
| Record Nr. | UNINA-9910616389603321 |
|
Friedman Michael
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||