## Integration II: Chapters 7–9Integration is the sixth and last of the books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Théories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups. The first volume of the English translation comprises Chapters 1-6; the present volume completes the translation with the remaining Chapters 7-9. Chapters 1-5 received very substantial revisions in a second edition, including changes to some fundamental definitions. Chapters 6-8 are based on the first editions of Chapters 1-5. The English edition has given the author the opportunity to correct misprints, update references, clarify the concordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations). |

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### Contents

I | vii |

II | xi |

III | xv |

IV | xviii |

V | xix |

VI | xx |

VII | xxiii |

VIII | xxiv |

LXIII | 61 |

LXIV | 65 |

LXV | 73 |

LXVI | 75 |

LXVII | 81 |

LXVIII | IG-1 |

LXIX | IG-3 |

LXX | IG-6 |

IX | xxv |

X | xxvi |

XI | xxx |

XII | xxxii |

XIII | xxxiv |

XIV | xxxvii |

XV | xli |

XVI | xliii |

XVII | xlviii |

XVIII | xlix |

XIX | l |

XX | liii |

XXI | lv |

XXII | lviii |

XXIII | lx |

XXIV | lxv |

XXVI | lxvi |

XXVII | lxvii |

XXVIII | lxviii |

XXIX | lxxix |

XXX | ii |

XXXI | iv |

XXXII | vi |

XXXIII | vi |

XXXIV | viii |

XXXV | 3 |

XXXVI | 6 |

XXXVIII | 7 |

XXXIX | 8 |

XL | 10 |

XLI | 11 |

XLII | 12 |

XLIII | 13 |

XLIV | 15 |

XLV | 16 |

XLVI | 18 |

XLVII | 21 |

XLVIII | 22 |

XLIX | 24 |

L | 28 |

LI | 34 |

LII | 37 |

LIII | 38 |

LIV | 42 |

LV | 44 |

LVI | 46 |

LVII | 48 |

LVIII | 51 |

LIX | 53 |

LX | 55 |

LXI | 56 |

LXII | 59 |

LXXI | IG-8 |

LXXII | IG-9 |

LXXIII | IG-11 |

LXXIV | IG-12 |

LXXV | IG-13 |

LXXVI | IG-17 |

LXXVII | IG-20 |

LXXVIII | IG-22 |

LXXX | IG-24 |

LXXXI | IG-26 |

LXXXII | IG-29 |

LXXXIII | IG-31 |

LXXXIV | IG-33 |

LXXXV | IG-37 |

LXXXVI | IG-41 |

LXXXVIII | IG-44 |

LXXXIX | IG-46 |

XC | IG-49 |

XCI | IG-50 |

XCIII | IG-54 |

XCIV | IG-56 |

XCVI | IG-59 |

XCVII | IG-60 |

XCVIII | IG-63 |

XCIX | IG-64 |

C | IG-67 |

CI | IG-68 |

CII | IG-72 |

CIV | IG-74 |

CV | IG-75 |

CVI | IG-77 |

CVII | IG-78 |

CVIII | IG-82 |

CIX | IG-85 |

CX | 6 |

CXI | 7 |

CXII | 10 |

CXIII | 11 |

CXIV | 99 |

CXV | 102 |

CXVI | 104 |

CXVII | 106 |

CXVIII | 108 |

CXX | 112 |

CXXI | 113 |

CXXII | 117 |

CXXIII | 118 |

CXXIV | 120 |

309 | |

311 | |

CXXVII | 320 |

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### References to this book

Nonlinear Functional Analysis and Its Applications: Part 2 B: Nonlinear ... E. Zeidler No preview available - 1989 |

Stochastic Finance: An Introduction in Discrete Time Hans Föllmer,Alexander Schied No preview available - 2004 |