Circles disturbed [[electronic resource] ] : the interplay of mathematics and narrative / / edited by Apostolos Doxiadis and Barry Mazur |
Edizione | [Core Textbook] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2012 |
Descrizione fisica | 1 online resource (593 p.) |
Disciplina | 510.1/4 |
Altri autori (Persone) |
DoxiadēsApostolos K. <1953->
MazurBarry |
Soggetto topico |
Mathematics - Language
Communication in mathematics Mathematics - History |
Soggetto non controllato |
Alasdair MacIntyre
Archimedes Aristotle Bleak House Borel sets Bourbaki Carl Friedrich Gauss David Hilbert Emmy Noether Enlightenment G. E. R. Lloyd Georg Cantor Greece Jean-Pierre Vernant John Archibald Wheeler K-ness L'Algebra Leo Perutz Leopold Kronecker Middlemarch Paul Gordan Plato Rafael Bombelli Robert Thomason ThomasonДrobaugh article Tom Trobaugh abstraction aesthetic contingency algebra automated theorem provers axiomatic mathematics belief chiasmus clues cognitive meaning compound machines computational modeling computer simulations cubic equations deductive mathematics diagramma dreams energeia epistemology existential contingency explanation exploration mathematics finiteness theorems focalization forensic rhetoric formal models geometry ghost ghostwriter group highest common factor imaginary numbers incommensurability intuition irony literary narrative literature machine metaphor mathematical argument mathematical concepts mathematical enquiry mathematical line mathematical modeling mathematical models mathematical objects mathematical physics mathematicians mathematics metanarratology metaphor myth narrative analysis narrative representation narrative subjectivity narrative narratology negative numbers non-Euclidean epistemology non-Euclidean geometry non-Euclidean mathematics non-Euclidean physics non-Euclidean thinking orthe permutation groups perspective poetic storytelling polynomial equations proof quantum mechanics rational enquiry rationality reality scientific inquiry square roots story generator algorithm story grammars story storytelling structural linguistics symbols theology theorems tragic mathematical heroes truth variste Galois vestibular line visions visual line vividness |
ISBN |
1-283-45704-0
9786613457042 1-4008-4268-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. From Voyagers to Martyrs / Alexander, Amir -- Chapter 2. Structure of Crystal, Bucket of Dust / Galison, Peter -- Chapter 3. Deductive Narrative and the Epistemological Function of Belief in Mathematics / Nave, Federicala -- Chapter 4. Hilbert on Theology and Its Discontents / Mclarty, Colin -- Chapter 5. Do Androids Prove Theorems in Their Sleep? / Harris, Michael -- Chapter 6. Visions, Dreams, and Mathematics / Mazur, Barry -- Chapter 7. Vividness in Mathematics and Narrative / Gowers, Timothy -- Chapter 8. Mathematics and Narrative / Teissier, Bernard -- Chapter 9. Narrative and the Rationality of Mathematical Practice / Corfield, David -- Chapter 10. A Streetcar Named (among Other Things) Proof / Doxiadis, Apostolos -- Chapter 11. Mathematics and Narrative: An Aristotelian Perspective / Lloyd, G . E . R . -- Chapter 12. Adventures of the Diagonal: Non-Euclidean Mathematics and Narrative / Plotnitsky, Arkady -- Chapter 13. Formal Models in Narrative Analysis / Herman, David -- Chapter 14. Mathematics and Narrative: A Narratological Perspective / Margolin, Uri -- Chapter 15. Tales of Contingency, Contingencies of Telling / Meister, Jan Christoph -- Contributors -- Index |
Record Nr. | UNINA-9910778928403321 |
Princeton, : Princeton University Press, c2012 | ||
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Lo trovi qui: Univ. Federico II | ||
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Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz |
Autore | Katz Nicholas M. <1943-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton ; ; Oxford, : Princeton University Press, c2012 |
Descrizione fisica | 1 online resource (213 p.) |
Disciplina | 515/.723 |
Collana | Annals of mathematics studies |
Soggetto topico |
Mellin transform
Convolutions (Mathematics) Sequences (Mathematics) |
Soggetto non controllato |
ArtinГchreier reduced polynomial
Emanuel Kowalski EulerАoincar formula Frobenius conjugacy class Frobenius conjugacy Frobenius tori GoursatЋolchinВibet theorem Kloosterman sheaf Laurent polynomial Legendre Mellin transform Pierre Deligne Ron Evans Tannakian category Tannakian groups Zeeev Rudnick algebro-geometric autodual objects autoduality characteristic two connectedness dimensional objects duality equidistribution exponential sums fiber functor finite field Mellin transform finite field finite fields geometrical irreducibility group scheme hypergeometric sheaf interger monic polynomials isogenies lie-irreducibility lisse middle convolution middle extension sheaf monic polynomial monodromy groups noetherian connected scheme nonsplit form nontrivial additive character number theory odd characteristic odd prime orthogonal case perverse sheaves polynomials pure weight semisimple object semisimple sheaves signs split form supermorse theorem theorems |
ISBN |
1-283-37996-1
9786613379962 1-4008-4270-0 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER 23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index |
Record Nr. | UNINA-9910789730903321 |
Katz Nicholas M. <1943->
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Princeton ; ; Oxford, : Princeton University Press, c2012 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Convolution and equidistribution : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz |
Autore | Katz Nicholas M. <1943-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton ; ; Oxford, : Princeton University Press, c2012 |
Descrizione fisica | 1 online resource (213 p.) |
Disciplina | 515/.723 |
Collana | Annals of mathematics studies |
Soggetto topico |
Mellin transform
Convolutions (Mathematics) Sequences (Mathematics) |
Soggetto non controllato |
ArtinГchreier reduced polynomial
Emanuel Kowalski EulerАoincar formula Frobenius conjugacy class Frobenius conjugacy Frobenius tori GoursatЋolchinВibet theorem Kloosterman sheaf Laurent polynomial Legendre Mellin transform Pierre Deligne Ron Evans Tannakian category Tannakian groups Zeeev Rudnick algebro-geometric autodual objects autoduality characteristic two connectedness dimensional objects duality equidistribution exponential sums fiber functor finite field Mellin transform finite field finite fields geometrical irreducibility group scheme hypergeometric sheaf interger monic polynomials isogenies lie-irreducibility lisse middle convolution middle extension sheaf monic polynomial monodromy groups noetherian connected scheme nonsplit form nontrivial additive character number theory odd characteristic odd prime orthogonal case perverse sheaves polynomials pure weight semisimple object semisimple sheaves signs split form supermorse theorem theorems |
ISBN |
1-283-37996-1
9786613379962 1-4008-4270-0 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER 23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index |
Record Nr. | UNINA-9910824873803321 |
Katz Nicholas M. <1943->
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Princeton ; ; Oxford, : Princeton University Press, c2012 | ||
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Lo trovi qui: Univ. Federico II | ||
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Heavenly mathematics [[electronic resource] ] : the forgotten art of spherical trigonometry / / Glen Van Brummelen |
Autore | Van Brummelen Glen |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2013 |
Descrizione fisica | 1 online resource (217 p.) |
Disciplina | 516.24 |
Soggetto topico |
Spherical trigonometry
Trigonometry |
Soggetto non controllato |
Abū 'l-Wafā
Abū Mahmūd al-Khujandī Abū Nasr Mansūr ibn 'Alī ibn 'Irāq Abū Sahl al-Kūhī Albert Girard B. M. Brown Cesàro method Christopher Columbus Claudius Ptolemy Earth Elements Georg Rheticus Giuseppe Cesàro Hipparchus of Rhodes Islam Islamic religious rituals John Harrison John Napier Law of Cosines Law of Sines Leonhard Euler Mathematical Collection Mecca Menelaus of Alexandria Menelaus's Theorem Moon Napier's Rules Opus palatinum Planisphere Ptolemy Pythagorean Theorem Rule of Four Quantities Sphaerica Sun acute-angled triangle angle area astrolabe astronomical triangle astronomy cartography celestial motion celestial sphere chronometer classical Greece dead reckoning ecliptic equatorial coordinates geography locality principle logarithms marteloio mathematics method of Saint Hilaire navigation oblique triangle pentagramma mirificum planar Law of Sines plane trigonometry planets polygon polyhedron qibla regular polyhedron right-angled triangle rising time sphere spherical Law of Sines spherical astronomy spherical geometry spherical triangle spherical trigonometry star stars stereographic projection table of sine theorems triangle trigonometric table trigonometry |
ISBN |
1-299-05125-1
1-4008-4480-0 |
Classificazione | SN 100 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Heavenly mathematics -- Exploring the sphere -- The ancient approach -- The medieval approach -- The modern approach: right-angled triangles -- The modern approach: oblique triangles -- Areas, angles, and polyhedra -- Stereographic projection -- Navigation. |
Record Nr. | UNINA-9910786023403321 |
Van Brummelen Glen
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||
Princeton, : Princeton University Press, c2013 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Heavenly mathematics : the forgotten art of spherical trigonometry / / Glen Van Brummelen |
Autore | Van Brummelen Glen |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2013 |
Descrizione fisica | 1 online resource (217 p.) |
Disciplina | 516.24 |
Soggetto topico |
Spherical trigonometry
Trigonometry |
Soggetto non controllato |
Abū 'l-Wafā
Abū Mahmūd al-Khujandī Abū Nasr Mansūr ibn 'Alī ibn 'Irāq Abū Sahl al-Kūhī Albert Girard B. M. Brown Cesàro method Christopher Columbus Claudius Ptolemy Earth Elements Georg Rheticus Giuseppe Cesàro Hipparchus of Rhodes Islam Islamic religious rituals John Harrison John Napier Law of Cosines Law of Sines Leonhard Euler Mathematical Collection Mecca Menelaus of Alexandria Menelaus's Theorem Moon Napier's Rules Opus palatinum Planisphere Ptolemy Pythagorean Theorem Rule of Four Quantities Sphaerica Sun acute-angled triangle angle area astrolabe astronomical triangle astronomy cartography celestial motion celestial sphere chronometer classical Greece dead reckoning ecliptic equatorial coordinates geography locality principle logarithms marteloio mathematics method of Saint Hilaire navigation oblique triangle pentagramma mirificum planar Law of Sines plane trigonometry planets polygon polyhedron qibla regular polyhedron right-angled triangle rising time sphere spherical Law of Sines spherical astronomy spherical geometry spherical triangle spherical trigonometry star stars stereographic projection table of sine theorems triangle trigonometric table trigonometry |
ISBN |
1-299-05125-1
1-4008-4480-0 |
Classificazione | SN 100 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Heavenly mathematics -- Exploring the sphere -- The ancient approach -- The medieval approach -- The modern approach: right-angled triangles -- The modern approach: oblique triangles -- Areas, angles, and polyhedra -- Stereographic projection -- Navigation. |
Record Nr. | UNINA-9910824624103321 |
Van Brummelen Glen
![]() |
||
Princeton, : Princeton University Press, c2013 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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