Halmos - Measure Theory

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<p> <a href="http://www.golden-book.com/search/search.asp?key1=Graduate+Texts+in+Mathematics"><font color="#000066">Graduate Texts in Mathematics</font></a></p><p><span class="smallgray"><font color="#888888">Format:</font></span> Hardcover<br/><span class="smallgray"><font color="#888888">Publication Date:</font></span> June 1974<br/><span class="smallgray"><font color="#888888">Publisher:</font></span> Springer Verlag<br/><span class="smallgray"><font color="#888888">Dimensions:</font></span> 9.75"H x 6.5"W x 1"D; 1.3 lbs.<br/><span class="smallgray"><font color="#888888">ISBN-10:</font></span> 0387900888<br/><span class="smallgray"><font color="#888888">ISBN-13:</font></span> 9780387900889</p><p></p><p>Brief Introduction:</p><p><table cellspacing="5" cellpadding="0" width="100%" align="center" border="0"><tbody><tr><td valign="top" align="left" style="WIDTH: 98%; WORD-BREAK: break-all; WHITE-SPACE: normal;">My main purpose in this book is to present a unified treatment of that part of measure theory which in recent years has shown itself to be most useful for its applications in modern analysis. If I have accomplished my purpose, then the book should be found usable both as a text for students and as a source of reference for the more advanced mathematician. <br/>I have tried to keep to a minimum the amount of new and unusual terminology and notation. In the few places where my nomenclature differs from that in the existing literature of measure theory, I was motivated by an attempt to harmonize with the usage of other parts of mathematics. There are, for instance, sound algebraic reasons for using the terms "lattice" and "ring" for certain classes of sets--reasons which are more cogent than the similarities that caused Hausdorff to use "ring" and "field." </td></tr><tr><td class="neirongmulucss" valign="top" align="left"><font color="#ff6600"><strong><br/></strong></font></td></tr></tbody></table></p><p></p><p>Preface <br/>Acknowledgments <br/>SECTION <br/>  0 Prerequisites <br/>CHAPTER Ⅰ: SETS AND CLASSES <br/>  1 Set inclusion <br/>  2 Unions and intersections <br/>  3 Limits， complements， and differences <br/>  4 Rings and algebras <br/>  5 Generated rings and -rings <br/>  6 Monotone classes <br/>CHAPTER Ⅱ: MEASURES AND OUTER MEASUR. ES <br/>  7 Measure on rings <br/>  8 Measure on intervals <br/>  9 Properties of measures <br/>  10 Outer measures <br/>  11 Measurable sets <br/>CHAPTER Ⅲ: EXTENSION OF MEASURES <br/>  12 Properties of induced measures <br/>  13 Extension， completion， and approximation <br/>  14 Inner measures<br/>  15 Lebesgue measure<br/>  16 Non measurable cets<br/>CHAPTER Ⅳ: MEASURABLE FUNCTIONS<br/>  17 Measure spaces<br/>  18 Measurable functions<br/>  19 Combinations of measurable functions<br/>  20 Sequences of measurable functions<br/>  21 Pointwise convergence<br/>  22 Convergence in measure<br/>CHAPTER Ⅴ: INTEGRATION<br/>  23 Integrable simple functions<br/>  24 Sequences of integrable simple functions<br/>  25 Integrable functions<br/>  26 Sequences of integrable functions<br/>  27 Properties of Integrals<br/>CHAPTER Ⅵ: GENERAL SET FUNCTIONS<br/>  28 Signed measures<br/>  29 Hahn and Jordan decompostions<br/>  30 Absolute continuity<br/>  31 The Radon-Nikodym theorem<br/>  32 Derivatives of signed measures<br/>CHAPTER Ⅶ: PRODUCT SPACES<br/>CHAPTER Ⅷ: TRANSFORMATIONS AND FUNCTIONS<br/>CHAPTER Ⅸ: PROBABILITY<br/>CHAPTER Ⅹ: LOCALLY COMPACT SPACES<br/>CHAPTER Ⅺ: AHHR MEASURE<br/>CHAPTER Ⅻ: MEASURE AND TOPOLOGY IN GROUPS<br/>References<br/>Bibliography<br/>List of frequently used symbols<br/>Index</p><p> 270645.pdf (22.09 MB, 需要: 20 个论坛币)

2008-11-26 15:23:00 上传

Halmos - Measure Theory
需要: 20 个论坛币  [购买]

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关键词：Measure Theory Halmos halmo LMOS present purpose recent useful itself

别再让我发现你刷人气。

就是！

个人觉得，这本书不适合初学者看。他讲的内容太过一般化。一般的书都是在西格玛代数上讲，此书在西格玛环上讲。因此许多定理的证明会面临更多的困难。一般也用不着。所以建议初学者看看其他的书吧。royden的real analysis就很好。<br>wesker1999
&nbsp;金钱&nbsp;+30
&nbsp;奖励&nbsp;2008-11-27 11:08:35

这种比黑人还黑的应该清除出论坛！！！！！！！！！！！

这本书对于经济学专业的人而言是成本远远大于收益。而且hamols书的定位也有很大问题，能当reference用的书，绝对不可能成为初学者的读物。

经济学专业的学生学习测度论的目的，主要还是用来学概率，因此找一本把概率和测度放在一起讲的书是最好的选择。例如bilingsley的概率和测度，预备知识只需要微积分概率论和基础的集合论，应该说对大部分而言比较合适的教材。dudley的实分析和概率也可以。过于深究测度论，除非去从事研究，否则没有必要。lucas1988的数学用的那么差，谢丹阳1994把lucas的模型重新规范地写了一遍，但人家就是认lucas1988。

不要太黑心

可以给我发邮件吗？我急需这本书，且金币不够，邮箱：homeworkwy@126.com,谁看到也希望能帮一下忙，我正在学习测度论，急需，谢谢，万分感谢！

lucas1988的数学用的那么差，谢丹阳1994把lucas的模型重新规范地写了一遍，但人家就是认lucas1988。

你们都说啥了  呵呵