{"id":334,"date":"2018-12-26T04:45:31","date_gmt":"2018-12-26T04:45:31","guid":{"rendered":"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=334"},"modified":"2018-12-26T04:45:37","modified_gmt":"2018-12-26T04:45:37","slug":"mathematical-preliminaries-vi","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/chapter\/mathematical-preliminaries-vi\/","title":{"rendered":"Mathematical Preliminaries VI"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/5BynRMRGTPA\" 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&nbsp;\r\n\r\n<img class=\"alignnone size-full wp-image-335\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-2.jpg\" alt=\"\" width=\"1373\" height=\"1539\" \/> <img class=\"alignnone size-full wp-image-336\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-3.jpg\" alt=\"\" width=\"1417\" height=\"1733\" \/> <img class=\"alignnone size-full wp-image-337\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-4.jpg\" alt=\"\" width=\"1419\" height=\"1719\" \/> <img class=\"alignnone size-full wp-image-338\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-5.jpg\" alt=\"\" width=\"1363\" height=\"1673\" \/> <img class=\"alignnone size-full wp-image-339\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-6.jpg\" alt=\"\" width=\"1381\" height=\"679\" \/>\r\n\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Mathematical Preliminaries VI<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/5BynRMRGTPA\" 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\/5BynRMRGTPA\" 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>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-335\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-2.jpg\" alt=\"\" width=\"1373\" height=\"1539\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-2.jpg 1373w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-2-268x300.jpg 268w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-2-768x861.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-2-914x1024.jpg 914w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-2-65x73.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-2-225x252.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-2-350x392.jpg 350w\" sizes=\"auto, (max-width: 1373px) 100vw, 1373px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-336\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-3.jpg\" alt=\"\" width=\"1417\" height=\"1733\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-3.jpg 1417w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-3-245x300.jpg 245w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-3-768x939.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-3-837x1024.jpg 837w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-3-65x79.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-3-225x275.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-3-350x428.jpg 350w\" sizes=\"auto, (max-width: 1417px) 100vw, 1417px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-337\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-4.jpg\" alt=\"\" width=\"1419\" height=\"1719\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-4.jpg 1419w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-4-248x300.jpg 248w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-4-768x930.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-4-845x1024.jpg 845w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-4-65x79.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-4-225x273.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-4-350x424.jpg 350w\" sizes=\"auto, (max-width: 1419px) 100vw, 1419px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-338\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-5.jpg\" alt=\"\" width=\"1363\" height=\"1673\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-5.jpg 1363w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-5-244x300.jpg 244w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-5-768x943.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-5-834x1024.jpg 834w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-5-65x80.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-5-225x276.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-5-350x430.jpg 350w\" sizes=\"auto, (max-width: 1363px) 100vw, 1363px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-339\" src=\"http:\/\/statp05.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-6.jpg\" alt=\"\" width=\"1381\" height=\"679\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-6.jpg 1381w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-6-300x148.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-6-768x378.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-6-1024x503.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-6-65x32.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-6-225x111.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-content\/uploads\/sites\/130\/2018\/12\/9608_et_ltext7-6-350x172.jpg 350w\" sizes=\"auto, (max-width: 1381px) 100vw, 1381px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Mathematical Preliminaries VI<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/5BynRMRGTPA\" 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":27,"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-334","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\/334","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":1,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapters\/334\/revisions"}],"predecessor-version":[{"id":340,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapters\/334\/revisions\/340"}],"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\/334\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/media?parent=334"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/pressbooks\/v2\/chapter-type?post=334"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/contributor?post=334"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp05\/wp-json\/wp\/v2\/license?post=334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}