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<div class="bookinfo_sectionwrap"><div class="bookinfo_section_line book_title_line">共享两本书最优化理论的书, 都是我读过的最好的. <br/></div><div class="bookinfo_section_line book_title_line"></div><div class="bookinfo_section_line book_title_line"><br/></div><div class="bookinfo_section_line book_title_line"><br/>1. Varaiya P. Lecture Notes on Optimization<br/>这本书也可以在作者的主页下载. <br/><br/>2. Methods of Mathematical Economics: Linear and Nonlinear Programming, Fixed-Point Theorems</div><div class="bookinfo_section_line">By Joel N. Franklin</div><div class="bookinfo_section_line">Published by SIAM, 2002</div><div class="bookinfo_section_line">ISBN 0898715091, 9780898715095</div><div class="bookinfo_section_line">297 pages<br/><br/>这里是Methods of Mathematical Economics在Google Book的目录, 大家可以先预览一下. <br/></div></div><h3 class="about_title"><a name="toc_anchor"></a></h3><h3 class="about_title">Contents</h3><div id="toc_v"><table cellspacing="0" cellpadding="0"><tbody><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA1&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="CHAPTER I">CHAPTER I</span></a></div></td><td align="right">1</td></tr><tr><td></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA12&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Linear Programs and Their Duals">Linear Programs and Their Duals</span></a></div></td><td align="right">12</td></tr><tr><td><div class="tockeyword">index sets, dual problem, vector</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA20&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="How the Dual Indicates Optimally">How the Dual Indicates Optimally</span></a></div></td><td align="right">20</td></tr><tr><td><div class="tockeyword">Lagrange multiplier, feasible solution, dual inequalities</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA27&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Basic Solutions">Basic Solutions</span></a></div></td><td align="right">27</td></tr><tr><td><div class="tockeyword">independent columns, linearly independent, basic solutions</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA32&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="The Idea of the Simplex Method">The Idea of the Simplex Method</span></a></div></td><td align="right">32</td></tr><tr><td><div class="tockeyword">matrix, basic feasible solution, linear algebra</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA44&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Separating Planes for Convex Sets">Separating Planes for Convex Sets</span></a></div></td><td align="right">44</td></tr><tr><td><div class="tockeyword">convex set, convex combinations, convex hull</div></td></tr></tbody></table></div><div id="toc_hd1" style="DISPLAY: block;"><table cellspacing="0" cellpadding="0"><tbody><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA52&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Finite Cones and the Farkas Alternative">Finite Cones and the Farkas Alternative</span></a></div></td><td align="right">52</td></tr><tr><td><div class="tockeyword">Fredholm alternative, basic cones, convex hull</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA62&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="The Duality Principle">The Duality Principle</span></a></div></td><td align="right">62</td></tr><tr><td><div class="tockeyword">slack variables, dual vector, duality principle</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA68&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Perturbations and Parametric Programming">Perturbations and Parametric Programming</span></a></div></td><td align="right">68</td></tr><tr><td><div class="tockeyword">perturbation theory, non-singular, information theory</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA79&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="The Simplex Tableau Algorithm">The Simplex Tableau Algorithm</span></a></div></td><td align="right">79</td></tr><tr><td><div class="tockeyword">pivot element, slack variables, tableau</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA93&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="The Revised Simplex Algorithm">The Revised Simplex Algorithm</span></a></div></td><td align="right">93</td></tr><tr><td><div class="tockeyword">simplex algorithm, Simplex Method, numbers</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA97&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="A Simplex Algorithm for Degenerate Problems">A Simplex Algorithm for Degenerate Problems</span></a></div></td><td align="right">97</td></tr><tr><td><div class="tockeyword">simplex algorithm, lexicographic ordering, vector space</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA104&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Multiobjective Linear Programming">Multiobjective Linear Programming</span></a></div></td><td align="right">104</td></tr><tr><td><div class="tockeyword">calories, convex set, dimensionless</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA112&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="ZeroSum TwoPerson Games">ZeroSum TwoPerson Games</span></a></div></td><td align="right">112</td></tr><tr><td><div class="tockeyword">mixed strategy, payoff matrix, symmetric game</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA127&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Gomorys Method">Gomorys Method</span></a></div></td><td align="right">127</td></tr><tr><td><div class="tockeyword">Integer Programming, knapsack problem, Integer Linear Programming</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA132&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Network Flows">Network Flows</span></a></div></td><td align="right">132</td></tr><tr><td><div class="tockeyword">L. R. Ford, D. R. Fulkerson, maximal flow</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA141&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Assignment and ShortestRoute Problems">Assignment and ShortestRoute Problems</span></a></div></td><td align="right">141</td></tr><tr><td><div class="tockeyword">maximal flow, integer linear programming, network flow</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA156&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="The Transportation Problem">The Transportation Problem</span></a></div></td><td align="right">156</td></tr><tr><td><div class="tockeyword">supplies and demands, numbers, algorithm</div></td></tr><tr><td width="100%"><div class="tocentry"> </div><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA177&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="CHAPTER II">CHAPTER II</span></a></div></td><td align="right">177</td></tr><tr><td></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA190&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="KuhnTucker Theory">KuhnTucker Theory</span></a></div></td><td align="right">190</td></tr><tr><td><div class="tockeyword">concave functions, Fritz John, Theorem</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA205&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Geometric Programming">Geometric Programming</span></a></div></td><td align="right">205</td></tr><tr><td><div class="tockeyword">posynomial, geometric programming, convex function</div></td></tr><tr><td width="100%"><div class="tocentry"> </div><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA224&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="CHAPTER">CHAPTER</span></a> III</div><div class="tocentry"> </div></td><td align="right">224</td></tr><tr><td><div class="tockeyword">Brouwer fixed-point theorem, unit ball, Green's theorem</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA251&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Milnors Proof of the Brouwer FixedPoint Theorem">Milnors Proof of the Brouwer FixedPoint Theorem</span></a></div></td><td align="right">251</td></tr><tr><td><div class="tockeyword">barycentric coordinates, Sperner's lemma, barycentric subdivision</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA272&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="The Schauder FixedPoint Theorem">The Schauder FixedPoint Theorem</span></a></div></td><td align="right">272</td></tr><tr><td><div class="tockeyword">Banach space, mixed strategies, uniform convergence</div></td></tr><tr><td width="100%"><div class="tocentry"><a href="http://books.google.com/books?id=BK_XLTqBiNMC&pg=PA293&dq=Methods+of+Mathematical+Economics&source=gbs_toc_r&cad=0_0"><span title="Index">Index</span></a></div></td><td align="right">293</td></tr><tr><td><br/></td></tr></tbody></table><span class="morelesslink" id="toc_hc1" style="DISPLAY: block;"></span></div>
[此贴子已经被作者于2009-1-11 20:48:01编辑过] |
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