<p><br></p><p><span>by <a href="http://www.amazon.com/exec/obidos/search-handle-url/ref=ntt_athr_dp_sr_1?%5Fencoding=UTF8&amp;search-type=ss&amp;index=books&amp;field-author=Charalambos%20D.%20Aliprantis"><font color="#003399">Charalambos D. Aliprantis</font></a> (Author), <a href="http://www.amazon.com/exec/obidos/search-handle-url/ref=ntt_athr_dp_sr_3?%5Fencoding=UTF8&amp;search-type=ss&amp;index=books&amp;field-author=Owen%20Burkinshaw"><font color="#996633">Owen Burkinshaw</font></a> (Editor) （影音版，但是比较清晰）</span></p><span><p></p><table class="product"><tbody><tr><td class="priceBlockLabelPrice">Price:</td><td><font color="#990000" size="4">$131.63</font><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</td></tr></tbody></table><p></p><li><b>Hardcover:</b> 451 pages </li><li><b>Publisher:</b> Academic Press; 3rd edition (September 15, 1998) </li><li><b>Language:</b> English </li><li><b>ISBN-10:</b> 0120502577 </li><li><b>ISBN-13:</b> 978-0120502578 </li><li><b>Product Dimensions: </b>9.2 x 6.4 x 1 inches </li><p>contents：</p><div id="content-text">Preface<br>CHAPTER 1. FUNDAMENTALS OF REAL ANALYSIS<br>1. Elementary Set Theory<br>2. Countable and Uncountable Sets<br>3. The Real Numbers<br>4. Sequences of Real Numbers<br>5. The Extended Real Numbers<br>6. Metric Spaces<br>7. Compactness in Metric Spaces<br><br>CHAPTER 2. TOPOLOGY AND CONTINUITY<br>8. Topological Spaces<br>9. Continuous Real-Valued Functions<br>10. Separation Properties of Continuous Functions<br>11. The Stone-Weierstrass Approximation Theorem<br><br>CHAPTER 3. THE THEORY OF MEASURE<br>12. Semirings and Algebras of Sets<br>13. Measures on Semirings<br>14. Outer Measures and Measurable Sets<br>15. The Outer Measure Generated by a Measure<br>16. Measurable Functions<br>17. Simple and Step Functions<br>18. The Lebesgue Measure<br>19. Convergence in Measure<br>20. Abstract Measurability<br><br>CHAPTER 4. THE LEBESGUE INTEGRAL<br>21. Upper Functions<br>22. Integrable Functions<br>23. The Riemann Integral as a Lebesgue Integral<br>24. Applications of the Lebesgue Integral<br>25. Approximating Integrable Functions<br>26. Product Measures and Iterated Integrals<br><br>CHAPTER 5. NORMED SPACES AND Lp-SPACES<br>27. Normed Spaces and Banach Spaces<br>28. Operators Between Banach Spaces<br>29. Linear Functionals<br>30. Banach Lattices<br>31. Lp-Spaces<br><br>CHAPTER 6. HILBERT SPACES<br>32. Inner Product Spaces<br>33. Hilbert Spaces<br>34. Orthonormal Bases<br>35. Fourier Analysis<br><br>CHAPTER 7. SPECIAL TOPICS IN INTEGRATION<br>36. Signed Measures<br>37. Comparing Measures and the<br>Radon-Nikodym Theorem<br>38. The Riesz Representation Theorem<br>39. Differentiation and Integration<br>40. The Change of Variables Formula<br>Bibliography<br>List of Symbols<br>Index<br></div><p><br></p><p>另外还有一本关于实分析习题的发在计量版了，有兴趣的朋友可以看下：</p></span>另外还有一本关于实分析习题的发在计量版了，有兴趣的朋友可以看下：<p><a href="http://www.pinggu.org/bbs/thread-461116-1-1.html">http://www.pinggu.org/bbs/thread-461116-1-1.html</a></p>
<p align="right"><font color="#000066">[此贴子已经被作者于2009-5-23 18:03:55编辑过]</font></p>