{"id":341,"date":"2018-12-26T04:46:00","date_gmt":"2018-12-26T04:46:00","guid":{"rendered":"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=341"},"modified":"2018-12-26T04:49:12","modified_gmt":"2018-12-26T04:49:12","slug":"mathematical-preliminaries-vii","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/chapter\/mathematical-preliminaries-vii\/","title":{"rendered":"Mathematical Preliminaries VII"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/1MBWFYllojA\" 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\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-343\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-2.jpg\" alt=\"\" width=\"1429\" height=\"1617\" \/> <img class=\"alignnone size-full wp-image-344\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-3.jpg\" alt=\"\" width=\"1431\" height=\"1521\" \/> <img class=\"alignnone size-full wp-image-345\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-4.jpg\" alt=\"\" width=\"1407\" height=\"1575\" \/> <img class=\"alignnone size-full wp-image-346\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-5.jpg\" alt=\"\" width=\"1415\" height=\"1751\" \/> <img class=\"alignnone size-full wp-image-347\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-6.jpg\" alt=\"\" width=\"1371\" height=\"1729\" \/> <img class=\"alignnone size-full wp-image-348\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-7.jpg\" alt=\"\" width=\"969\" height=\"371\" \/>\r\n\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Mathematical Preliminaries VII<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/1MBWFYllojA\" 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>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/1MBWFYllojA\" 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-343\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-2.jpg\" alt=\"\" width=\"1429\" height=\"1617\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-2.jpg 1429w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-2-265x300.jpg 265w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-2-768x869.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-2-905x1024.jpg 905w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-2-65x74.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-2-225x255.jpg 225w, 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https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-4-768x860.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-4-915x1024.jpg 915w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-4-65x73.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-4-225x252.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-4-350x392.jpg 350w\" sizes=\"auto, (max-width: 1407px) 100vw, 1407px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-346\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-5.jpg\" alt=\"\" width=\"1415\" height=\"1751\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-5.jpg 1415w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-5-242x300.jpg 242w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-5-768x950.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-5-828x1024.jpg 828w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-5-65x80.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-5-225x278.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-5-350x433.jpg 350w\" sizes=\"auto, (max-width: 1415px) 100vw, 1415px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-347\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-6.jpg\" alt=\"\" width=\"1371\" height=\"1729\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-6.jpg 1371w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-6-238x300.jpg 238w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-6-768x969.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-6-812x1024.jpg 812w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-6-65x82.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-6-225x284.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-6-350x441.jpg 350w\" sizes=\"auto, (max-width: 1371px) 100vw, 1371px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-348\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-7.jpg\" alt=\"\" width=\"969\" height=\"371\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-7.jpg 969w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-7-300x115.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-7-768x294.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-7-65x25.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-7-225x86.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9609_et_ltext8-7-350x134.jpg 350w\" sizes=\"auto, (max-width: 969px) 100vw, 969px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Mathematical Preliminaries VII<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/1MBWFYllojA\" 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":28,"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-341","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\/341","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\/341\/revisions"}],"predecessor-version":[{"id":350,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapters\/341\/revisions\/350"}],"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\/341\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/media?parent=341"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapter-type?post=341"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/contributor?post=341"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/license?post=341"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}