{"id":305,"date":"2018-12-26T04:29:01","date_gmt":"2018-12-26T04:29:01","guid":{"rendered":"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=305"},"modified":"2018-12-26T04:30:35","modified_gmt":"2018-12-26T04:30:35","slug":"mathematical-preliminaries-ii","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/chapter\/mathematical-preliminaries-ii\/","title":{"rendered":"Mathematical Preliminaries II"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/_RWusxxIsvM\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<img class=\"alignnone size-full wp-image-307\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-2.jpg\" alt=\"\" width=\"1419\" height=\"1711\" \/> <img class=\"alignnone size-full wp-image-308\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-3.jpg\" alt=\"\" width=\"1441\" height=\"1725\" \/> <img class=\"alignnone size-full wp-image-309\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-4.jpg\" alt=\"\" width=\"1355\" height=\"1705\" \/> <img class=\"alignnone size-full wp-image-310\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-5.jpg\" alt=\"\" width=\"1431\" height=\"1735\" \/> <img class=\"alignnone size-full wp-image-311\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-6.jpg\" alt=\"\" width=\"1371\" height=\"1521\" \/>\r\n\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on General Introduction to the Course on Knowledge Society<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/_RWusxxIsvM\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/_RWusxxIsvM\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-307\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-2.jpg\" alt=\"\" width=\"1419\" height=\"1711\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-2.jpg 1419w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-2-249x300.jpg 249w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-2-768x926.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-2-849x1024.jpg 849w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-2-65x78.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-2-225x271.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-2-350x422.jpg 350w\" sizes=\"auto, (max-width: 1419px) 100vw, 1419px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-308\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-3.jpg\" alt=\"\" width=\"1441\" height=\"1725\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-3.jpg 1441w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-3-251x300.jpg 251w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-3-768x919.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-3-855x1024.jpg 855w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-3-65x78.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-3-225x269.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-3-350x419.jpg 350w\" sizes=\"auto, (max-width: 1441px) 100vw, 1441px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-309\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-4.jpg\" alt=\"\" width=\"1355\" height=\"1705\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-4.jpg 1355w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-4-238x300.jpg 238w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-4-768x966.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-4-814x1024.jpg 814w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-4-65x82.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-4-225x283.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-4-350x440.jpg 350w\" sizes=\"auto, (max-width: 1355px) 100vw, 1355px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-310\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-5.jpg\" alt=\"\" width=\"1431\" height=\"1735\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-5.jpg 1431w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-5-247x300.jpg 247w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-5-768x931.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-5-845x1024.jpg 845w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-5-65x79.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-5-225x273.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-5-350x424.jpg 350w\" sizes=\"auto, (max-width: 1431px) 100vw, 1431px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-311\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-6.jpg\" alt=\"\" width=\"1371\" height=\"1521\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-6.jpg 1371w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-6-270x300.jpg 270w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-6-768x852.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-6-923x1024.jpg 923w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-6-65x72.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-6-225x250.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9604_et_ltext3-6-350x388.jpg 350w\" sizes=\"auto, (max-width: 1371px) 100vw, 1371px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on General Introduction to the Course on Knowledge Society<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/_RWusxxIsvM\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"author":3,"menu_order":23,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["prof-rahul-bhattacharya"],"pb_section_license":""},"chapter-type":[],"contributor":[58],"license":[],"class_list":["post-305","chapter","type-chapter","status-publish","hentry","contributor-prof-rahul-bhattacharya"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapters\/305","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":3,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapters\/305\/revisions"}],"predecessor-version":[{"id":313,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapters\/305\/revisions\/313"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapters\/305\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/media?parent=305"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapter-type?post=305"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/contributor?post=305"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/license?post=305"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}