Les Mathematiques, les Idees et le Reel Physique.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lautman, Albert
Otros Autores: Duffy, Simon
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Bloomsbury Publishing PLC, 2011.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Half-title; Title; Copyright; Contents; Translatorâ#x80;#x99;s Note; Acknowledgements; Introduction by Jacques Lautman; Secondary Bibliography on the Work of Albert Lautman; Albert Lautman and the Creative Dialectic of Modern Mathematics; Preface to the 1977 Edition by Jean Dieudonné; Considerations on Mathematical Logic; Mathematics and Reality; International Congress of the Philosophy of Science; On the Reality Inherent to Mathematical Theories; The Axiomatic and the Method of Division; BOOK I Essay on the Unity of the Mathematical Sciencesin their Current Development.
  • Introduction: Two Kinds of MathematicsCHAPTER 1 The Structure of a Domain of Magnitudes and the Decomposition of Its Elements: Dimensional Considerations in Analysis; CHAPTER 2 The Domain and Numbers: Non-Euclidean Metricsin the Theory of Analytic Functions; CHAPTER 3 The Algebra of Non-Commutative Magnitudes: Pfaffian Forms and the Theory of Differential Equations; CHAPTER 4 The Continuous and the Discontinuous: Analysis and the Theory of Numbers; Conclusion; BOOK II Essay on the Notions of Structure and Existence in Mathematics; Introduction: On the Nature of the Real in Mathematics.
  • SECTION 1 The Schemas of StructureCHAPTER 1 The Local and the Global; CHAPTER 2 Intrinsic Properties and Induced Properties; CHAPTER 3 The Ascent towards the Absolute; SECTION 2 The Schemas of Genesis; CHAPTER 4 Essence and Existence; CHAPTER 5 â#x80;#x98;Mixesâ#x80;#x99;; CHAPTER 6 On the Exceptional Character of Existence; Conclusion; BOOK III New Research on the Dialectical Structure of Mathematics; Foreword; CHAPTER 1 The Genesis of the Entity from the Idea; CHAPTER 2 The Analytic Theory of Numbers; Letter to Mathematician Maurice Fréchet; BOOK IV Symmetry and Dissymmetry in Mathematics and Physics.
  • CHAPTER 1 Physical SpaceCHAPTER 2 The Problem of Time; Notes; Bibliography; Index.

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