未读消息消息

店铺

我的订单收藏

拍卖

拍卖交易我的竞拍收藏

我的好友资金账户

客服 |

帮助中心 9:00-20:30 在线留言

客服电话

010-89648155

服务时间

客服咨询 8:00-21:00

纠纷处理 9:00-21:00

图书审核 9:00-18:00

监督与建议

请选择

手机孔网

Functional Analysis: Theory and Applications

Functional Analysis: Theory and Applications

分享

作者: R.E. Edwards, Mathematics 作者

出版社: Dover Publications

出版时间: 2011-12

ISBN: 0486681432 或 9780486681436

定价: 389.00

装帧: 平装

开本: 其他

页数: 800页

正文语种: 英语

丛书: Dover Books on Mathematics

分类: 外文古旧书>英文书>文学

1 张插图图片

"The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews.
In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter.
Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis.
Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.
内容简介:
"The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews.
In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter.
Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis.
Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.

查看详情

相关分类

Literature&Fiction文学与虚构 ScienceFiction&Fantasy科幻与玄幻 Romance浪漫小说 Mystery&Thrillers神秘与惊悚 Teens青少年读物 Biographies&Memoirs传记与自传 Comics&GraphicNovels动漫与绘画小说 ELT英语学习 Reference参考书 StandardTest标准考试 Business&Investing商业与投资 Self-Help励志自助 ManagementLeadership经营管理 Arts&Photography艺术与摄影

Functional Analysis: Theory and Applications

暂无新书在售