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Circles disturbed [[electronic resource] ] : the interplay of mathematics and narrative / / edited by Apostolos Doxiadis and Barry Mazur
| 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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Circles disturbed : the interplay of mathematics and narrative / / edited by Apostolos Doxiadis and Barry Mazur
| Circles disturbed : 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-9910807819803321 |
| Princeton, : Princeton University Press, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces [[electronic resource] /] / Joram Lindenstrauss, David Preiss, Jaroslav Tiser
| Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces [[electronic resource] /] / Joram Lindenstrauss, David Preiss, Jaroslav Tiser |
| Autore | Lindenstrauss Joram <1936-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 515/.88 |
| Altri autori (Persone) |
PreissDavid
TišerJaroslav <1957-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Banach spaces
Calculus of variations Functional analysis |
| Soggetto non controllato |
Asplund space
Banach space Borel sets Euclidean space Frechet differentiability Fréchet derivative Fréchet differentiability Fréchet smooth norm Gâteaux derivative Gâteaux differentiability Hilbert space Lipschitz function Lipschitz map Radon-Nikodým property asymptotic uniform smoothness asymptotically smooth norm asymptotically smooth space bump completeness cone-monotone function convex function deformation derivative descriptive set theory flat surface higher dimensional space infinite dimensional space irregular behavior irregularity point linear operators low Borel classes lower semicontinuity mean value estimate modulus multidimensional mean value nonlinear functional analysis nonseparable space null sets perturbation function perturbation game perturbation porosity porous sets regular behavior regular differentiability regularity parameter renorming separable determination separable dual separable space slice smooth bump subspace tensor products three-dimensional space two-dimensional space two-player game variational principle variational principles Γ-null sets ε-Fréchet derivative ε-Fréchet differentiability σ-porous sets |
| ISBN |
1-283-37995-3
9786613379955 1-4008-4269-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter One: Introduction -- Chapter Two: Gâteaux differentiability of Lipschitz functions -- Chapter Three: Smoothness, convexity, porosity, and separable determination -- Chapter Four: ε-Fréchet differentiability -- Chapter Five: Γ-null and Γn-null sets -- Chapter Six: Férchet differentiability except for Γ-null sets -- Chapter Seven: Variational principles -- Chapter Eight: Smoothness and asymptotic smoothness -- Chapter Nine: Preliminaries to main results -- Chapter Ten: Porosity, Γn- and Γ-null sets -- Chapter Eleven: Porosity and ε-Fréchet differentiability -- Chapter Twelve: Fréchet differentiability of real-valued functions -- Chapter Thirteen: Fréchet differentiability of vector-valued functions -- Chapter Fourteen: Unavoidable porous sets and nondifferentiable maps -- Chapter Fifteen: Asymptotic Fréchet differentiability -- Chapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces -- Bibliography -- Index -- Index of Notation |
| Record Nr. | UNINA-9910789737103321 |
Lindenstrauss Joram <1936->
|
||
| Princeton, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces / / Joram Lindenstrauss, David Preiss, Jaroslav Tiser
| Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces / / Joram Lindenstrauss, David Preiss, Jaroslav Tiser |
| Autore | Lindenstrauss Joram <1936-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 515/.88 |
| Altri autori (Persone) |
PreissDavid
TišerJaroslav <1957-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Banach spaces
Calculus of variations Functional analysis |
| Soggetto non controllato |
Asplund space
Banach space Borel sets Euclidean space Frechet differentiability Fréchet derivative Fréchet differentiability Fréchet smooth norm Gâteaux derivative Gâteaux differentiability Hilbert space Lipschitz function Lipschitz map Radon-Nikodým property asymptotic uniform smoothness asymptotically smooth norm asymptotically smooth space bump completeness cone-monotone function convex function deformation derivative descriptive set theory flat surface higher dimensional space infinite dimensional space irregular behavior irregularity point linear operators low Borel classes lower semicontinuity mean value estimate modulus multidimensional mean value nonlinear functional analysis nonseparable space null sets perturbation function perturbation game perturbation porosity porous sets regular behavior regular differentiability regularity parameter renorming separable determination separable dual separable space slice smooth bump subspace tensor products three-dimensional space two-dimensional space two-player game variational principle variational principles Γ-null sets ε-Fréchet derivative ε-Fréchet differentiability σ-porous sets |
| ISBN |
1-283-37995-3
9786613379955 1-4008-4269-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter One: Introduction -- Chapter Two: Gâteaux differentiability of Lipschitz functions -- Chapter Three: Smoothness, convexity, porosity, and separable determination -- Chapter Four: ε-Fréchet differentiability -- Chapter Five: Γ-null and Γn-null sets -- Chapter Six: Férchet differentiability except for Γ-null sets -- Chapter Seven: Variational principles -- Chapter Eight: Smoothness and asymptotic smoothness -- Chapter Nine: Preliminaries to main results -- Chapter Ten: Porosity, Γn- and Γ-null sets -- Chapter Eleven: Porosity and ε-Fréchet differentiability -- Chapter Twelve: Fréchet differentiability of real-valued functions -- Chapter Thirteen: Fréchet differentiability of vector-valued functions -- Chapter Fourteen: Unavoidable porous sets and nondifferentiable maps -- Chapter Fifteen: Asymptotic Fréchet differentiability -- Chapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces -- Bibliography -- Index -- Index of Notation |
| Record Nr. | UNINA-9910823398203321 |
|
Lindenstrauss Joram <1936->
|
||
| Princeton, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||