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An Introduction to Analysis
ISBN: 9780130930897 | 013093089X
Format: HardcoverPublisher: Prentice Hall
Pub. Date: 1/1/1995
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Junior level course for math majorsgenerally requiredusually for 2 terms. Chapters 1-5 are for 1st semester, chapters 6-10 for 2nd semester. Text offers strategies of proof for major theorems. This is a "friendly, baby Rudin." Covers both single and multivariable analysis.
| Preface | vii | ||||
| Part I. One-dimensional theory | |||||
| |||||
| 1 | (11) | |||
| 12 | (5) | ||||
| 17 | (6) | |||
| 23 | (7) | |||
| 30 | (7) | |||
| 37 | (7) | |||
| 44 | (11) | |||
| |||||
| 55 | (11) | |||
| 66 | (8) | |||
| 74 | (4) | |||
| 78 | (8) | |||
| 86 | (7) | |||
| 93 | (6) | |||
| |||||
| 99 | (9) | |||
| 108 | (10) | |||
| 118 | (9) | |||
| 127 | (6) | |||
| 133 | (4) | |||
| 137 | (8) | |||
| |||||
| 145 | (6) | |||
| 151 | (10) | |||
| 161 | (10) | |||
| 171 | (7) | |||
| 178 | (6) | |||
| 184 | (9) | |||
| 193 | (12) | |||
| 205 | (6) | |||
| Part II. Multidimensional theory | |||||
| |||||
| 211 | (14) | |||
| 225 | (7) | |||
| 232 | (8) | |||
| 240 | (4) | |||
| 244 | (8) | |||
| 252 | (5) | |||
| 257 | (9) | |||
| 266 | (11) | |||
| |||||
| 277 | (10) | |||
| 287 | (9) | |||
| 296 | (6) | |||
| 302 | (8) | |||
| 310 | (9) | |||
| 319 | (11) | |||
| 330 | (6) | |||
| |||||
| 336 | (11) | |||
| 347 | (10) | |||
| 357 | (13) | |||
| 370 | (13) | |||
| 383 | (9) | |||
| 392 | (8) | |||
| |||||
| 400 | (11) | |||
| 411 | (7) | |||
| 418 | (11) | |||
| 429 | (8) | |||
| 437 | (9) | |||
| 446 | (9) | |||
| |||||
| 455 | (6) | |||
| 461 | (7) | |||
| 468 | (7) | |||
| 475 | (6) | |||
| 481 | (6) | |||
| |||||
| 487 | (12) | |||
| 499 | (11) | |||
| 510 | (9) | |||
| APPENDICES | |||||
| 519 | (1) | |||
| 520 | (4) | |||
| 524 | (6) | |||
| 530 | (4) | |||
| 534 | (3) | |||
| 537 | (2) | |||
| References | 539 | (1) | |||
| Answers and hints to exercises | 540 | (13) | |||
| Subject index | 553 | (11) | |||
| Symbol Index | 564 |
