{"id":2887,"date":"2018-11-15T15:56:01","date_gmt":"2018-11-15T08:56:01","guid":{"rendered":"http:\/\/stang.sc.mahidol.ac.th\/newresources\/?p=2887"},"modified":"2018-11-16T14:43:36","modified_gmt":"2018-11-16T07:43:36","slug":"principles-of-analysis-measure-integration-functional-analysis-and-applications","status":"publish","type":"post","link":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/?p=2887","title":{"rendered":"Principles of analysis : measure, integration, functional analysis, and applications"},"content":{"rendered":"<p><a href=\"http:\/\/mulinet1.li.mahidol.ac.th\/record=b1484096a\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-2855 size-medium\" src=\"http:\/\/stang.sc.mahidol.ac.th\/newresources\/wp-content\/uploads\/2018\/11\/65923-206x300.jpg\" alt=\"\" width=\"206\" height=\"300\" \/><\/a><strong>AUTHOR<\/strong> :\u00a0 Junghenn, Hugo D. (Hugo Dietrich), 1939-<\/p>\n<p><strong>CALL NO<\/strong> :\u00a0 QA331.5 J95p 2018<\/p>\n<p><strong>IMPRINT<\/strong> :\u00a0\u00a0 Boca Raton, Fla. : CRC Press, c2018<!--more--><\/p>\n<p>Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers\u2019 benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis.<\/p>\n<p>The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter .<\/p>\n<p>Features:<\/p>\n<ul>\n<li>Contains direct and concise proofs with attention to detail<\/li>\n<li>Features a substantial variety of interesting and nontrivial examples<\/li>\n<li>Includes nearly 700 exercises ranging from routine to challenging with hints for the more difficult exercises<\/li>\n<li>Provides an eclectic set of special topics and applications<\/li>\n<\/ul>\n<p>Source :\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www.crcpress.com\/Principles-of-Analysis-Measure-Integration-Functional-Analysis-and-Applications\/Junghenn\/p\/book\/9781498773287\">https:\/\/www.crcpress.com\/Principles-of-Analysis-Measure-Integration-Functional-Analysis-and-Applications\/Junghenn\/p\/book\/9781498773287<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>AUTHOR :\u00a0 Junghenn, Hugo D. (Hugo Dietrich), 1939- CALL NO :\u00a0 QA331.5 J95p 2018 IMPRINT :\u00a0\u00a0 Boca Raton, Fla. : CRC Press, c2018<\/p>\n","protected":false},"author":1,"featured_media":2855,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[881],"class_list":["post-2887","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-new-book-releases","tag-mathematical-analysis"],"_links":{"self":[{"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/posts\/2887","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2887"}],"version-history":[{"count":3,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/posts\/2887\/revisions"}],"predecessor-version":[{"id":2890,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/posts\/2887\/revisions\/2890"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=\/wp\/v2\/media\/2855"}],"wp:attachment":[{"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2887"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2887"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/stang.sc.mahidol.ac.th\/newresources\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2887"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}