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Chapter 2. Moving to Euclidean Space, the Real Thing
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Chapters in this book
- Frontmatter i
- Contents vii
- Preface xi
- Chapter 1. Finite State Space, a Trial Run 1
- Chapter 2. Moving to Euclidean Space, the Real Thing 35
- Chapter 3. Itô's Approach in the Euclidean Setting 73
- Chapter 4. Further Considerations 111
- Chapter 5. Itô's Theory of Stochastic Integration 125
- Chapter 6. Applications of Stochastic Integration to Brownian Motion 151
- Chapter 7. The Kunita-Watanabe Extension 189
- Chapter 8. Stratonovich's Theory 221
- Notation 260
- References 263
- Index 265
Chapters in this book
- Frontmatter i
- Contents vii
- Preface xi
- Chapter 1. Finite State Space, a Trial Run 1
- Chapter 2. Moving to Euclidean Space, the Real Thing 35
- Chapter 3. Itô's Approach in the Euclidean Setting 73
- Chapter 4. Further Considerations 111
- Chapter 5. Itô's Theory of Stochastic Integration 125
- Chapter 6. Applications of Stochastic Integration to Brownian Motion 151
- Chapter 7. The Kunita-Watanabe Extension 189
- Chapter 8. Stratonovich's Theory 221
- Notation 260
- References 263
- Index 265