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＜電子ブック＞
Analysis III / by Herbert Amann, Joachim Escher

版	1st ed. 2009.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2009
本文言語	英語
大きさ	XII, 468 p : online resource
著者標目	*Amann, Herbert author Escher, Joachim author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Measure theory LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) FREE:Analysis FREE:Measure and Integration FREE:Global Analysis and Analysis on Manifolds
一般注記	Elements of measure theory -- Integration theory -- Manifolds and differential forms -- Integration on manifolds This third volume concludes our introduction to analysis, wherein we ?nish laying the groundwork needed for further study of the subject. As with the ?rst two, this volume contains more material than can treated in a single course. It is therefore important in preparing lectures to choose a suitable subset of its content; the remainder can be treated in seminars or left to independent study. For a quick overview of this content, consult the table of contents and the chapter introductions. Thisbookisalsosuitableasbackgroundforothercoursesorforselfstudy. We hope that its numerous glimpses into more advanced analysis will arouse curiosity and so invite students to further explore the beauty and scope of this branch of mathematics. In writing this volume, we counted on the invaluable help of friends, c- leagues, sta?, and students. Special thanks go to Georg Prokert, Pavol Quittner, Olivier Steiger, and Christoph Walker, who worked through the entire text cr- ically and so helped us removeerrors and make substantial improvements. Our thanks also goes out to Carlheinz Kneisel and Bea Wollenmann, who likewise read the majority of the manuscript and pointed out various inconsistencies. Without the inestimable e?ortofour “typesetting perfectionist”, this volume could not have reached its present form: her tirelessness and patience with T X E and other software brought not only the end product, but also numerous previous versions,to a high degree of perfection. For this contribution, she has our greatest thanks HTTP:URL=https://doi.org/10.1007/978-3-7643-7480-8

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