{"id":171,"date":"2018-07-12T05:32:04","date_gmt":"2018-07-12T05:32:04","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=171"},"modified":"2019-05-15T09:44:46","modified_gmt":"2019-05-15T09:44:46","slug":"introduction-and-lagrange-interpolation","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/introduction-and-lagrange-interpolation\/","title":{"rendered":"Introduction and Lagrange Interpolation"},"content":{"raw":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/ErYk6cDLsls\" 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<p style=\"text-align: center;\"><\/p>\r\n&nbsp;\r\n\r\n<img class=\"aligncenter wp-image-178 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_1-e1533204546311.jpg\" alt=\"\" width=\"1303\" height=\"1730\" \/> <img class=\"aligncenter wp-image-177 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_2-e1533204595367.jpg\" alt=\"\" width=\"1321\" height=\"1941\" \/> <img class=\"aligncenter wp-image-176 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_3-e1533204623530.jpg\" alt=\"\" width=\"1309\" height=\"1830\" \/> <img class=\"aligncenter wp-image-175 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_4-e1533204651105.jpg\" alt=\"\" width=\"1309\" height=\"1953\" \/> <img class=\"aligncenter wp-image-174 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_5-e1533204685487.jpg\" alt=\"\" width=\"1245\" height=\"1748\" \/>\r\n\r\n<img class=\"aligncenter wp-image-173 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_6-e1533204713168.jpg\" alt=\"\" width=\"1309\" height=\"1935\" \/> <img class=\"aligncenter wp-image-172 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_7-e1533204745371.jpg\" alt=\"\" width=\"1438\" height=\"1364\" \/>\r\n\r\n<strong>Additional\u00a0Reading material<\/strong>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify;\">The following are some of the references on Interpolation. Detailed discussion on Lagrange interpolation is given in reference 3 and to some extent in\u00a0reference 2 and 4. Computational aspects are discussed in reference 1. And\u00a0 MATLAB programs can be found in reference 5.<\/p>\r\n\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Introduction and Lagrange Interpolation<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/ErYk6cDLsls\" 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<p style=\"text-align: justify;\"><strong>References:<\/strong><\/p>\r\n&nbsp;\r\n<div>1.\u00a0Steven C Chapra &amp; Raymond Canale: N. Methods for Engineers, 5th Ed. TMH,2009<\/div>\r\n<div>2. Conte Samuel D. &amp; Carl de Boor: Elementary N A\u00a0\u2013An Algorithmic approach,3rd Ed., TMH, 2005.<\/div>\r\n<div>3. Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/div>\r\n<div>4. Richard L. Burden &amp; J. Douglas Faires: N A\u2013Theory &amp; Applications, Cengage Learning, 2005.<\/div>\r\n<div>5. Won Y. Yang, Wenwu Cao, Tae- Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005<\/div>\r\n<div>6. Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/div>\r\n<div>7. Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa\u00a0Publishing House, 2009.<\/div>\r\n<div>8.\u00a0s. s. ssatry: Introductory Methods of Numerical Ana lysis, PHI, 1989.<\/div>\r\n<div>9. Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/div>","rendered":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/ErYk6cDLsls\" 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 style=\"text-align: center;\">\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-178 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_1-e1533204546311.jpg\" alt=\"\" width=\"1303\" height=\"1730\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_1-e1533204546311.jpg 1303w, 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src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_4-e1533204651105.jpg\" alt=\"\" width=\"1309\" height=\"1953\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_4-e1533204651105.jpg 1309w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_4-e1533204651105-201x300.jpg 201w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_4-e1533204651105-768x1146.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_4-e1533204651105-686x1024.jpg 686w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_4-e1533204651105-65x97.jpg 65w, 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https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_5-e1533204685487-768x1078.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_5-e1533204685487-729x1024.jpg 729w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_5-e1533204685487-65x91.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_5-e1533204685487-225x316.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_5-e1533204685487-350x491.jpg 350w\" sizes=\"auto, (max-width: 1245px) 100vw, 1245px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-173 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_6-e1533204713168.jpg\" alt=\"\" width=\"1309\" height=\"1935\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_6-e1533204713168.jpg 1309w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_6-e1533204713168-203x300.jpg 203w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_6-e1533204713168-768x1135.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_6-e1533204713168-693x1024.jpg 693w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_6-e1533204713168-65x96.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_6-e1533204713168-225x333.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_6-e1533204713168-350x517.jpg 350w\" sizes=\"auto, (max-width: 1309px) 100vw, 1309px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-172 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_7-e1533204745371.jpg\" alt=\"\" width=\"1438\" height=\"1364\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_7-e1533204745371.jpg 1438w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_7-e1533204745371-300x285.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_7-e1533204745371-768x728.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_7-e1533204745371-1024x971.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_7-e1533204745371-65x62.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_7-e1533204745371-225x213.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729088Module10_econtent_Page_7-e1533204745371-350x332.jpg 350w\" sizes=\"auto, (max-width: 1438px) 100vw, 1438px\" \/><\/p>\n<p><strong>Additional\u00a0Reading material<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">The following are some of the references on Interpolation. Detailed discussion on Lagrange interpolation is given in reference 3 and to some extent in\u00a0reference 2 and 4. Computational aspects are discussed in reference 1. And\u00a0 MATLAB programs can be found in reference 5.<\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Introduction and Lagrange Interpolation<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/ErYk6cDLsls\" 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<p style=\"text-align: justify;\"><strong>References:<\/strong><\/p>\n<p>&nbsp;<\/p>\n<div>1.\u00a0Steven C Chapra &amp; Raymond Canale: N. Methods for Engineers, 5th Ed. TMH,2009<\/div>\n<div>2. Conte Samuel D. &amp; Carl de Boor: Elementary N A\u00a0\u2013An Algorithmic approach,3rd Ed., TMH, 2005.<\/div>\n<div>3. Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/div>\n<div>4. Richard L. Burden &amp; J. Douglas Faires: N A\u2013Theory &amp; Applications, Cengage Learning, 2005.<\/div>\n<div>5. Won Y. Yang, Wenwu Cao, Tae- Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005<\/div>\n<div>6. Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/div>\n<div>7. Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa\u00a0Publishing House, 2009.<\/div>\n<div>8.\u00a0s. s. ssatry: Introductory Methods of Numerical Ana lysis, PHI, 1989.<\/div>\n<div>9. Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/div>\n","protected":false},"author":4,"menu_order":10,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["dr-v-d-pathak"],"pb_section_license":""},"chapter-type":[],"contributor":[59],"license":[],"class_list":["post-171","chapter","type-chapter","status-publish","hentry","contributor-dr-v-d-pathak"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/171","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/users\/4"}],"version-history":[{"count":5,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/171\/revisions"}],"predecessor-version":[{"id":626,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/171\/revisions\/626"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/171\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=171"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=171"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=171"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=171"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}