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Book Categories |
| Notation | ||
| 1 | Setting the scene | 1 |
| 2 | Preliminaries | 8 |
| 3 | Intervals and step functions | 21 |
| 4 | Integrals of step functions | 29 |
| 5 | Continuous functions on compact intervals | 34 |
| 6 | Techniques of integration I | 44 |
| 7 | Approximations | 56 |
| 8 | Uniform convergence and power series | 67 |
| 9 | Building foundations | 78 |
| 10 | Null sets | 87 |
| 11 | L[superscript inc] functions | 93 |
| 12 | The class L of integrable functions | 102 |
| 13 | Non-integrable functions | 110 |
| 14 | Convergence Theorems: MCT and DCT | 117 |
| 15 | Recognizing integrable functions I | 125 |
| 16 | Techniques of integration II | 132 |
| 17 | Sums and integrals | 137 |
| 18 | Recognizing integrable functions II | 143 |
| 19 | The Continuous DCT | 148 |
| 20 | Differentiation of integrals | 152 |
| 21 | Measurable functions | 160 |
| 22 | Measurable sets | 166 |
| 23 | The character of integrable functions | 172 |
| 24 | Integration vs. differentiation | 177 |
| 25 | Integrable functions on R[superscript k] | 184 |
| 26 | Fubini's Theorem and Tonelli's Theorem | 190 |
| 27 | Transformations of R[superscript k] | 201 |
| 28 | The spaces L[superscript 1], L[superscript 2], and L[superscript p] | 210 |
| 29 | Fourier series: pointwise convergence | 221 |
| 30 | Fourier series: convergence reassessed | 236 |
| 31 | L[superscript 2]-spaces: orthogonal sequences | 247 |
| 32 | L[superscript 2]-spaces as Hilbert spaces | 258 |
| 33 | Fourier transforms | 264 |
| 34 | Integration in probability theory | 279 |
| App. I: historical remarks | 287 | |
| App. II: reference | 291 | |
| Bibliography | 295 | |
| Notation index | 297 | |
| Subject index | 299 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Robert Masten
reviewed Introduction to Integration on July 04, 2016
Introduction to Integration
This book emphasizes basic details that are probably assumed known in many analysis courses. Someone at the graduate level (who understands the material at that level) would find this book to be too simple, but I found it to be very helpful while taking an undergraduate analysis course.
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Add Introduction to Integration, Introduction to Integration provides a unified account of integration theory, giving a practical guide to the Lebesgue integral and its uses, with a wealth of examples and exercises. Intended as a first course in integration theory for students fam, Introduction to Integration to the inventory that you are selling on WonderClubX
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Add Introduction to Integration, Introduction to Integration provides a unified account of integration theory, giving a practical guide to the Lebesgue integral and its uses, with a wealth of examples and exercises. Intended as a first course in integration theory for students fam, Introduction to Integration to your collection on WonderClub |