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Introduction to Measure Theory and Functional Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to Measure Theory and Functional Analysis/ by Piermarco Cannarsa, Teresa D'Aprile.
作者:	Cannarsa, Piermarco.
其他作者:	D'Aprile, Teresa.
面頁冊數:	XIV, 314 p. 8 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Measure theory. -
電子資源:	https://doi.org/10.1007/978-3-319-17019-0
ISBN:	9783319170190

Introduction to Measure Theory and Functional Analysis
Cannarsa, Piermarco.

Introduction to Measure Theory and Functional Analysis[electronic resource] /by Piermarco Cannarsa, Teresa D'Aprile. - 1st ed. 2015. - XIV, 314 p. 8 illus., 1 illus. in color.online resource. - La Matematica per il 3+2,892038-5722 ;. - La Matematica per il 3+2,84.

1 Part I Measure and Integration -- 2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index.

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.

ISBN: 9783319170190

Standard No.: 10.1007/978-3-319-17019-0doiSubjects--Topical Terms:

527848
Measure theory.

LC Class. No.: QA312-312.5

Dewey Class. No.: 515.42

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