翻訳と辞書 Words near each other ・ Topolog River (Olt) ・ Topolog Viaduct ・ Topolog, Tulcea ・ Topologel River ・ Topological abelian group ・ Topological algebra ・ Topological Boolean algebra ・ Topological category ・ Topological censorship ・ Topological combinatorics ・ Topological complexity ・ Topological conjugacy ・ Topological data analysis ・ Topological defect ・ Topological degeneracy ・ Topological degree theory ・ Topological derivative ・ Topological divisor of zero ・ Topological drugs ・ Topological dynamics ・ Topological entropy ・ Topological entropy in physics ・ Topological excitations ・ Topological fluid dynamics ・ Topological functioning model ・ Topological game ・ Topological graph ・ Topological graph theory ・ Topological group ・ Topological half-exact functor Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Topological degree theory ： ウィキペディア英語版 Topological degree theory In mathematics, topological degree theory is a generalization of the winding number of a curve in the complex plane. It can be used to estimate the number of solutions of an equation, and is closely connected to fixed-point theory. When one solution of an equation is easily found, degree theory can often be used to prove existence of a second, nontrivial, solution. There are different types of degree for different types of maps: e.g. for maps between Banach spaces there is the Brouwer degree in R''n'', the Leray-Schauder degree for compact mappings in normed spaces, the coincidence degree and various other types. There is also a degree for continuous maps between manifolds. Topological degree theory has applications in complementarity problems, differential equations, differential inclusions and dynamical systems. ==Further reading== *(Topological fixed point theory of multivalued mappings ), Lech Górniewicz, Springer, 1999, ISBN 978-0-7923-6001-8 *(Topological degree theory and applications ), Donal O'Regan, Yeol Je Cho, Yu Qing Chen, CRC Press, 2006, ISBN 978-1-58488-648-8 *(Mapping Degree Theory ), Enrique Outerelo, Jesus M. Ruiz, AMS Bookstore, 2009, ISBN 978-0-8218-4915-6 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Topological degree theory」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.