Symplectic geometry and analytical mechanics

Symplectic geometry and analytical mechanics
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DOI:
10.1007/978-94-009-3807-6
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发表时间:
1987
期刊:
--
影响因子:
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通讯作者:
P. Libermann;C. Marle
P. Libermann;C. Marle
中科院分区:
其他
文献类型:
--
作者:
P. Libermann;C. Marle

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从正确的角度解决问题,并不是说他们看不到解决办法。从答案开始。然后有一天,是他们看不到问题所在。也许你会找到最后一个问题。g·k·切斯特顿。父亲的丑事“穿着鹤毛的隐士”“棕色”“大头针的尖”。在R. van Gulik的《中国迷宫谋杀案》中日益专业化和多样化带来了越来越专门化主题的大量专著和教科书。然而,数学及相关领域的知识“树”并不是只靠长出新的分支来生长的。事实上,经常发生的情况是,那些被认为完全不同的分支突然之间被认为是相关的。此外,近年来,各种科学中应用的数学的种类和复杂程度发生了巨大变化:测量理论(非平凡地)应用于区域经济学和理论经济学;代数几何与物理相互作用;闵可夫斯基引理、编码理论和水的结构在包覆理论中相遇;量子场、晶体缺陷和数学规划得益于同质论;李代数与滤波有关;预测和电气工程可以使用斯坦空间。
Approach your problems from the right end It isn't that they can't see the solution. and begin with the answers. Then one day, It is that they can't see the problem. perhaps you will find the final question. GK Chesterton. The Scandal of Father'The Hermit Clad in Crane Feathers' Brown'The point of a Pin'. in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the" tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thouglit to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sci ences has changed drastically in recent years: measure theory is used (non-trivially) in re gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homo topy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.