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Introduction to Analysis
ISBN: 9780130144096 | 0130144096
Edition: 2ndFormat: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/2000
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For one/two-semester, junior/senior-level courses in Advanced Calculus, Analysis I, Real Analysis taken by math majors. The first semester is usually a general requirement; the second semester is often an option for the more motivated students. Designed to challenge advanced students while bringing weaker students up to speed, this text is an advantageous alternative to most other analysis texts which either tend to be too easy (designed for an Intermediate Analysis course) or too difficult (designed for students headed for a Ph.D. in Pure Math... MORE
| Preface | ix | ||||
| Part I. ONE-DIMENSIONAL THEORY | |||||
| 1 | (33) | |||
| 1 | (12... MORE | |||
| 13 | (5) | |||
| 18 | (6) | |||
| 24 | (10) | |||
| 34 | (23) | |||
| 34 | (4) | |||
| 38 | (6) | |||
| 44 | (4) | |||
| 48 | (3) | |||
| 51 | (6) | |||
| 57 | (27) | |||
| 57 | (8) | |||
| 65 | (5) | |||
| 70 | (9) | |||
| 79 | (5) | |||
| 84 | (22) | |||
| 84 | (7) | |||
| 91 | (2) | |||
| 93 | (8) | |||
| 101 | (5) | |||
| 106 | (46) | |||
| 106 | (9) | |||
| 115 | (10) | |||
| 125 | (9) | |||
| 134 | (6) | |||
| 140 | (5) | |||
| 145 | (7) | |||
| 152 | (30) | |||
| 152 | (6) | |||
| 158 | (5) | |||
| 163 | (8) | |||
| 171 | (4) | |||
| 175 | (4) | |||
| 179 | (3) | |||
| 182 | (41) | |||
| 182 | (8) | |||
| 190 | (5) | |||
| 195 | (10) | |||
| 205 | (12) | |||
| 217 | (6) | |||
| Part II. MULTIDIMENSIONAL THEORY | |||||
| 223 | (30) | |||
| 223 | (10) | |||
| 233 | (3) | |||
| 236 | (9) | |||
| 245 | (8) | |||
| 253 | (31) | |||
| 253 | (8) | |||
| 261 | (4) | |||
| 265 | (3) | |||
| 268 | (6) | |||
| 274 | (10) | |||
| 284 | (31) | |||
| 284 | (6) | |||
| 290 | (5) | |||
| 295 | (5) | |||
| 300 | (6) | |||
| 306 | (4) | |||
| 310 | (5) | |||
| 315 | (57) | |||
| 315 | (10) | |||
| 325 | (10) | |||
| 335 | (6) | |||
| 341 | (9) | |||
| 350 | (10) | |||
| 360 | (12) | |||
| 372 | (65) | |||
| 372 | (10) | |||
| 382 | (11) | |||
| 393 | (13) | |||
| 406 | (13) | |||
| 419 | (10) | |||
| 429 | (8) | |||
| 437 | (56) | |||
| 437 | (12) | |||
| 449 | (7) | |||
| 456 | (11) | |||
| 467 | (8) | |||
| 475 | (9) | |||
| 484 | (9) | |||
| 493 | (32) | |||
| 493 | (6) | |||
| 499 | (7) | |||
| 506 | (7) | |||
| 513 | (6) | |||
| 519 | (6) | |||
| 525 | (32) | |||
| 525 | (12) | |||
| 537 | (11) | |||
| 548 | (9) | |||
| Appendices | 557 | (22) | |||
| 557 | (3) | |||
| 560 | (4) | |||
| 564 | (6) | |||
| 570 | (4) | |||
| 574 | (3) | |||
| 577 | (2) | |||
| References | 579 | (1) | |||
| Answers and Hints to Exercises | 580 | (17) | |||
| Subject Index | 597 | (13) | |||
| Notation Index | 610 |
