| 查看: 172 | 回复: 0 | |||
| 当前主题已经存档。 | |||
[交流]
【转贴】Geometric Measure Theory: A Beginner's Guide
|
|||
|
Geometric Measure Theory: A Beginner's Guide Publisher: Academic Press Number Of Pages: 226 Publication Date: 2000-07-24 Sales Rank: 762232 ISBN / ASIN: 0125068514 EAN: 9780125068512 Binding: Hardcover Manufacturer: Academic Press Studio: Academic Press Average Rating: 5 Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications. The third edition of this leading text/reference introduces the theory, the framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Over the past thirty years, this theory has contributed to major advances in geometry and analysis including, for example, the original proof of the positive mass conjecture in cosmology. This third edition of Geometric Measure Theory: A Beginner's Guide presents, for the first time in print, the proofs of the double bubble and the hexagonal honeycomb conjectures. Four new chapters lead the reader through treatments of the Weaire-Phelan counterexample of Kelvin's conjecture, Almgren's optimal isoperimetric inequality, and immiscible fluids and crystals. The abundant illustrations, examples, exercises, and solutions in this book will enhance its reputation as the most accessible introduction to the subject. Review: Up-to-date reference. This thin book (175 pages) provides the newcomer or graduate student with an illustrated introduction to geometric measure theory: the basic ideas, terminology, and results. The author has included a few fundamental arguments and a superficial discussion of the regularity theory, but his goal is merely to introduce the subject and make the standard text, "Geometric Measure Theory" by Federer, more accesible. This second edition includes updated material and references, corrections, and a new chapter on soap bubble clusters. Its contents are: Measures, Lipschitz functions and rectifiable sets, normal and rectifiable currents, the completeness theorem, area-minimizing surfaces, the approximation theorem, regualrity results, monotonicity and oriented tanget cones, flat chains, varifolds, minimal sets, soap bubble clusters. Includes excercises, plenty of illustrations, and extensive references. Highly useful for advanced undergraduate and graduate students in analysis and geometry. The "next step" for fractal geometers. If you want to buy it maybe it should be better to wait for the third edition to appear by June 2000. http://rapidshare.com/files/42101439/geometric.measure.theory.rar [ Last edited by laizuliang on 2007-10-31 at 16:26 ] |
回复此楼» 猜你喜欢
一篇MDPI论文改变了学习工作和生活
已经有4人回复
-
一个化合物的合成路线：CAS:367929-02-0 名称：8β-乙烯基雌二醇
已经有4人回复
-
太白金星有点烦
已经有3人回复
-
中国地质大学（北京）博士招生补录，数理学院材料科学与工程专业和材料与化工专业
已经有3人回复
-
河北省自然基金
已经有8人回复
-
收到国自然专家邀请后几年才会有本子送过来评
已经有3人回复
-
考博
已经有3人回复
-
有没有快的中文核心比较快录用的，纳米材料光催化
已经有4人回复
-
本人42，博士刚毕业，现在找不到工作，怎么办？:(
已经有21人回复
-
有人投过CCC中国控制会议吗？
已经有3人回复