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Duality in 19th and 20th Century Mathematical Thinking / / edited by Ralf Krömer, Emmylou Haffner
| Duality in 19th and 20th Century Mathematical Thinking / / edited by Ralf Krömer, Emmylou Haffner |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024 |
| Descrizione fisica | 1 online resource (962 pages) |
| Disciplina | 510.9034 |
| Collana | Science Networks. Historical Studies |
| Soggetto topico |
Mathematics
History Algebra, Homological Algebra, Universal History of Mathematical Sciences Category Theory, Homological Algebra General Algebraic Systems Corbes Teoria de la dualitat (Matemàtica) Topologia Història de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031597978
3031597974 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Chapter 1. Ralf Krömer, Emmylou Haffner: Introduction -- Part I. The 19th century heritage -- Chapter 2. Michael Friedman: On “contour apparent”, “courbe de contact” and ramification curves: Duality between a principle and a tool -- Chapter 3. Juan Luis Gastaldi: De Morgan’s De Morgan’s Laws: Duality in the Emergence of Formal Logic -- Chapter 4. Dirk Schlimm: The emergence of duality in 19th-century algebra of logic -- Chapter 5. Emmylou Haffner: Duality as a guiding light in the genesis of Dedekind’s Dualgruppen -- Chapter 6. Erhard Scholz: From Grassmann complements to Hodge-duality -- Part II. From topology to groups -- Chapter 7. Stephan Oltmanns, Ralf Krömer, Klaus Volkert: Duality theorems in topology -- Chapter 8. Ralf Krömer: The historical development of Pontrjagin duality -- Chapter 9. Harald Kümmerle: Tannaka Tadao’s 1938 paper on the duality of noncommutative topological groups and its historical background -- Chapter 10. Christophe Eckes: Philosophical and mathematical duality in Albert Lautman’s work -- Part III. Functional analysis and related fields -- Chapter 11. Alessa Waldvogel: The development of dual spaces in functional analysis -- Chapter 12. Frédéric Jaëck: Duality in Banach’s 1929 work on functionals -- Chapter 13. Ralf Krömer: Marshall Stone and duality: from differential equations to Boolean algebras -- Chapter 14. Ralf Krömer: Duality à la Bourbaki -- Chapter 15. Jesper Lützen: Duality and Distributions: An Application of Topological Vector Spaces -- Part IV. The post-war outlook -- Chapter 16. Tinne Hoff Kjeldsen: From duality in mathematical programming to Fenchel duality and convex analysis: Duality as a force of inspiration in the creation of new mathematics -- Chapter 17. Jean-Pierre Marquis: An Historical Perspective on Duality and Category Theory -- List of abbreviations -- Bibliography -- Author index. |
| Record Nr. | UNINA-9910869169903321 |
| Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Europa matematica e Risorgimento italiano / a cura di Luigi Pepe
| Europa matematica e Risorgimento italiano / a cura di Luigi Pepe |
| Pubbl/distr/stampa | Bologna : CLUEB, 2012 |
| Descrizione fisica | XI, 469 p., [7] carte di tav. : ill. ; 28 cm |
| Disciplina | 510.9034 |
| Altri autori (Persone) | Pepe, Luigi |
| Collana | Studi / Centro interuniversitario per la storia delle università italiane ; 18 |
| Soggetto topico |
Matematica - Insegnamento universitario - Europa
Matematica - Storia |
| ISBN | 9788849137064 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991002584989707536 |
| Bologna : CLUEB, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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