{"id":145,"date":"2018-07-12T05:01:37","date_gmt":"2018-07-12T05:01:37","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=145"},"modified":"2019-05-15T08:44:58","modified_gmt":"2019-05-15T08:44:58","slug":"roots-of-polynomial-equations-i","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/roots-of-polynomial-equations-i\/","title":{"rendered":"Roots of polynomial equations &#8211; I"},"content":{"raw":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/4jMucYwAbuI\" 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<img class=\"wp-image-152 size-full aligncenter\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_1-e1533203617796.jpg\" alt=\"\" width=\"1260\" height=\"1570\" \/> <img class=\"aligncenter wp-image-151 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_2-e1533203642392.jpg\" alt=\"\" width=\"1281\" height=\"1947\" \/> <img class=\"aligncenter wp-image-150 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_3-e1533203702789.jpg\" alt=\"\" width=\"1254\" height=\"1661\" \/> <img class=\"aligncenter wp-image-149 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_4-e1533203730884.jpg\" alt=\"\" width=\"1259\" height=\"1864\" \/> <img class=\"aligncenter wp-image-148 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_5-e1533203761456.jpg\" alt=\"\" width=\"1259\" height=\"1842\" \/> <img class=\"aligncenter wp-image-147 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_6-e1533203795411.jpg\" alt=\"\" width=\"1259\" height=\"1754\" \/> <img class=\"aligncenter wp-image-146 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_7-e1533203845719.jpg\" alt=\"\" width=\"1270\" height=\"1655\" \/>\r\n\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Roots of polynomial equations - I<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/4jMucYwAbuI\" 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\r\n<strong>Suggested Reading:<\/strong>\r\n\r\n&nbsp;\r\n<div>1.\u00a0Numerical Methods for Engineers by Steven C Chapra &amp; Raymond P Canale, Fifth Edition, Tata McGraw Hill Publication, Special Indian Edition.<\/div>\r\n<div>2.\u00a0A Friendly Introduction to Numerical Analysis by Brian Bradie, Pearson Education.<\/div>\r\n<div>3. Numerical Mathematics and Computing by Ward Cheney &amp; David Kincaid, fifth Edition, Cengage Learning.<\/div>\r\n<div>4.\u00a0Computer Oriented Numerical Methods by Dr. N Datta, Vikas Publication.<\/div>\r\n<div>5.\u00a0Numerical Methods with Programs in C by T Veerarajan &amp; T Ramachandran, Second Edition, Tata McGraw<\/div>\r\n<div>Hill Publication.<\/div>\r\n<div>6.\u00a0Numerical Methods by V. Rajaraman, Third Edition, Prentice- Hall India Pvt. Ltd.<\/div>\r\n<div>7. Numerical Methods with C++ Programming by RM Somasundaram &amp; RM Chandrasekaran, Prentice-Hall India Pvt. Ltd.<\/div>\r\n<div>8.\u00a0Applied Numerical Analysis by C F Gerald &amp; P O Wheatley, Seventh Edition, Pearson Education Asia, New Delhi.<\/div>\r\n<div>9.\u00a0Numerical Methods by Dr. V. N. Vedamurthy &amp; Dr. N.Ch. S.N. Iyengar, Vikas Publication.<\/div>\r\n<div>10.\u00a0Numerical Analysis by Richard L. Burden, J. Douglas Faires, Cengage Publication.<\/div>\r\n<div>11.\u00a0Numerical Methods with programs in BASIC, FORTRAN, Pascal and C++ by S. Balachandra Rao &amp; C. K. Shantha, Revised Edition, Universities Press.<\/div>\r\n<div>12.\u00a0A Textbook of Computer Based Numerical and Statistical Techniques by A. K. Jaiswal &amp; Anju Khandelwal, New Age International (P) Ltd, Publishers.<\/div>\r\n<div>13.\u00a0Numerical Analysis: Mathematics of Scientific Computing by Kincaid, D., and W. Cheney, 3rd Edition, Pacific Grove, California: Brooks\/Cole<\/div>\r\n<div>13.\u00a0http:\/\/www.math.niu.edu\/~dattab\/MATH435.2013\/<\/div>\r\n<div>14.\u00a0https:\/\/ece.uwaterloo.ca\/~dwharder\/NumericalAnalysis\/10RootFinding\/ falseposition\/<\/div>","rendered":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/4jMucYwAbuI\" 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><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-152 size-full aligncenter\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_1-e1533203617796.jpg\" alt=\"\" width=\"1260\" height=\"1570\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_1-e1533203617796.jpg 1260w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_1-e1533203617796-241x300.jpg 241w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_1-e1533203617796-768x957.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_1-e1533203617796-822x1024.jpg 822w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_1-e1533203617796-65x81.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_1-e1533203617796-225x280.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_1-e1533203617796-350x436.jpg 350w\" sizes=\"auto, (max-width: 1260px) 100vw, 1260px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-151 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_2-e1533203642392.jpg\" alt=\"\" width=\"1281\" height=\"1947\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_2-e1533203642392.jpg 1281w, 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https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_2-e1533203642392-350x532.jpg 350w\" sizes=\"auto, (max-width: 1281px) 100vw, 1281px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-150 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_3-e1533203702789.jpg\" alt=\"\" width=\"1254\" height=\"1661\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_3-e1533203702789.jpg 1254w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_3-e1533203702789-226x300.jpg 226w, 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src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_4-e1533203730884.jpg\" alt=\"\" width=\"1259\" height=\"1864\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_4-e1533203730884.jpg 1259w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_4-e1533203730884-203x300.jpg 203w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_4-e1533203730884-768x1137.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_4-e1533203730884-692x1024.jpg 692w, 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srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_5-e1533203761456.jpg 1259w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_5-e1533203761456-205x300.jpg 205w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_5-e1533203761456-768x1124.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_5-e1533203761456-700x1024.jpg 700w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_5-e1533203761456-65x95.jpg 65w, 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https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_6-e1533203795411-215x300.jpg 215w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_6-e1533203795411-768x1070.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_6-e1533203795411-735x1024.jpg 735w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_6-e1533203795411-65x91.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_6-e1533203795411-225x313.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_6-e1533203795411-350x488.jpg 350w\" sizes=\"auto, (max-width: 1259px) 100vw, 1259px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-146 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_7-e1533203845719.jpg\" alt=\"\" width=\"1270\" height=\"1655\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_7-e1533203845719.jpg 1270w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_7-e1533203845719-230x300.jpg 230w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_7-e1533203845719-768x1001.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_7-e1533203845719-786x1024.jpg 786w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_7-e1533203845719-65x85.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_7-e1533203845719-225x293.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505728425Rootsofpolynomialequations-PartI-final_Page_7-e1533203845719-350x456.jpg 350w\" sizes=\"auto, (max-width: 1270px) 100vw, 1270px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Roots of polynomial equations &#8211; I<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/4jMucYwAbuI\" 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><strong>Suggested Reading:<\/strong><\/p>\n<p>&nbsp;<\/p>\n<div>1.\u00a0Numerical Methods for Engineers by Steven C Chapra &amp; Raymond P Canale, Fifth Edition, Tata McGraw Hill Publication, Special Indian Edition.<\/div>\n<div>2.\u00a0A Friendly Introduction to Numerical Analysis by Brian Bradie, Pearson Education.<\/div>\n<div>3. Numerical Mathematics and Computing by Ward Cheney &amp; David Kincaid, fifth Edition, Cengage Learning.<\/div>\n<div>4.\u00a0Computer Oriented Numerical Methods by Dr. N Datta, Vikas Publication.<\/div>\n<div>5.\u00a0Numerical Methods with Programs in C by T Veerarajan &amp; T Ramachandran, Second Edition, Tata McGraw<\/div>\n<div>Hill Publication.<\/div>\n<div>6.\u00a0Numerical Methods by V. Rajaraman, Third Edition, Prentice- Hall India Pvt. Ltd.<\/div>\n<div>7. Numerical Methods with C++ Programming by RM Somasundaram &amp; RM Chandrasekaran, Prentice-Hall India Pvt. Ltd.<\/div>\n<div>8.\u00a0Applied Numerical Analysis by C F Gerald &amp; P O Wheatley, Seventh Edition, Pearson Education Asia, New Delhi.<\/div>\n<div>9.\u00a0Numerical Methods by Dr. V. N. Vedamurthy &amp; Dr. N.Ch. S.N. Iyengar, Vikas Publication.<\/div>\n<div>10.\u00a0Numerical Analysis by Richard L. Burden, J. Douglas Faires, Cengage Publication.<\/div>\n<div>11.\u00a0Numerical Methods with programs in BASIC, FORTRAN, Pascal and C++ by S. Balachandra Rao &amp; C. K. Shantha, Revised Edition, Universities Press.<\/div>\n<div>12.\u00a0A Textbook of Computer Based Numerical and Statistical Techniques by A. K. Jaiswal &amp; Anju Khandelwal, New Age International (P) Ltd, Publishers.<\/div>\n<div>13.\u00a0Numerical Analysis: Mathematics of Scientific Computing by Kincaid, D., and W. Cheney, 3rd Edition, Pacific Grove, California: Brooks\/Cole<\/div>\n<div>13.\u00a0http:\/\/www.math.niu.edu\/~dattab\/MATH435.2013\/<\/div>\n<div>14.\u00a0https:\/\/ece.uwaterloo.ca\/~dwharder\/NumericalAnalysis\/10RootFinding\/ falseposition\/<\/div>\n","protected":false},"author":4,"menu_order":8,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["prof-savita-r-gandhi"],"pb_section_license":""},"chapter-type":[],"contributor":[58],"license":[],"class_list":["post-145","chapter","type-chapter","status-publish","hentry","contributor-prof-savita-r-gandhi"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/145","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\/145\/revisions"}],"predecessor-version":[{"id":588,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/145\/revisions\/588"}],"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\/145\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=145"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=145"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=145"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=145"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}