{"id":8137,"date":"2016-01-20T14:29:39","date_gmt":"2016-01-20T14:29:39","guid":{"rendered":"https:\/\/webknjizara.hr\/?product=numerical-methods-iii-approximation-of-functions"},"modified":"2023-02-27T00:16:37","modified_gmt":"2023-02-26T23:16:37","slug":"numerical-methods-iii-approximation-of-functions","status":"publish","type":"product","link":"https:\/\/webknjizara.hr\/en\/proizvod\/numerical-methods-iii-approximation-of-functions\/","title":{"rendered":"NUMERICAL METHODS III &#8211; APPROXIMATION OF FUNCTIONS"},"content":{"rendered":"<p style=\"text-align: justify;\"><strong><br \/>Sa\u017eetak:<\/p>\n<p><span style=\"color: #ff0000;\">Format:<\/span>\u00a0<\/strong>Black and White on White Paper, 6.30&#8243;x8.86&#8243; (225&#215;160 mm), Paperback, 260 pages.<\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #339966;\">Several other Colour and Black &#038; White options are also available.<\/span><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #ff0000;\">An Colour option<\/span><\/strong> can be found <a href=\"hr\/component\/virtuemart\/?page=shop.product_details&#038;flypage=flypage.tpl&#038;product_id=504\" target=\"_blank\" rel=\"noopener\">here<\/a> .<\/p>\n<p style=\"text-align: justify;\"><strong>About the book:<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #0000ff;\">An excellent textbook<\/span><\/strong> established at several universities. Primarily written for students at technical universities, it is also a very useful handbook for engineers, PhD students and scientists. Now available in several forms at all continents.<\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #0000ff;\">This textbook introduces the reader<\/span><\/strong> into various types of approximations of functions, which are defined either explicitly or by their values in the distinct set of points, as well as into the economisation of existing approximation formulas.<\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #0000ff;\">Why the approximation of functions is so important?<\/span><\/strong> Simply, various functions (such as trigonometric functions and logarithms) cannot be calculated without approximation. Approximation formulas for some of these functions are already implemented in calculators and standard computer libraries, providing accuracy to all the bits in which a value is stored. High accuracy is usually not required and requires more numerical operations then necessary. Economised approximation formulas can provide the required accuracy with less numerical operations, and can make numerical algorithms faster, especially when such formulas are nested in loops. The other important use of approximation is in calculating functions that are defined by values at a chosen set of points.<\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #0000ff;\">The book is divided into five chapters.<\/span><\/strong> The first chapter briefly explains Maclaurin, Taylor or Pad\u00e9 expansion, principles of approximations with orthogonal series and principles of the least squares approximations.<\/p>\n<p style=\"text-align: justify;\">In the second chapter, various types of least squares polynomial approximations, particularly those using Legendre, Jacobi, Laguerre, Hermite, Zernike and Gram orthogonal polynomials are explained. The third chapter explains approximations with Fourier series, which are the base for developing approximations with Chebyshev polynomials (fourth chapter).<\/p>\n<p style=\"text-align: justify;\">Uniform approximation and further usage of Chebyshev polynomials in the almost uniform approximation, as well as in the economisation of the existing approximation formulas, are described in the fifth chapter.<\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #0000ff;\">Practical application<\/span><\/strong> of the described approximation procedures is supported by 40 examples and 37 algorithms. In addition to its practical usage, the given text with 37 figures and 12 tables represents a valuable background for understanding, using, developing and applying various numerical methods, such as interpolation, numerical integration and solving partial differential equations, which are topics covered in the following volumes of the series Numerical Methods.<\/p>\n<p style=\"text-align: justify;\"><strong>Reviewed by:<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #0000ff;\">Prof. Maja Fo\u0161ner, D.Sc.<\/span><\/strong>, University of Maribor, Slovenia<\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #0000ff;\">Prof. Damir Jelaska, D.Sc.<\/span><\/strong>, University of Split, Croatia<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>Prof. Valery Lysenko, D.Sc.<\/strong><\/span>, Academic of the Russian Metrological Academy, Russian Research Institute for Metrological Service, Russia<\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #0000ff;\">Prof. Iztok Potr\u010d<\/span><span style=\"color: #0000ff;\">, D.Sc.<\/span><\/strong>, University of Maribor, Slovenia<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #0000ff;\"><strong>Prof. Evgeny Pushkar<\/strong><\/span><span style=\"color: #0000ff;\"><strong>, D.Sc.<\/strong><\/span>, Member correspondent of the Russian Academy of Natural Sciences, Moscow State Industrial University, Russia<\/p>\n<p><strong>Proof reading by:<br \/><\/strong><br \/><strong><span style=\"color: #0000ff;\">Jasenka Topli\u010danec<\/span><span style=\"color: #0000ff;\">, prof.<\/span><\/strong>, Zagreb, Croatia<\/p>\n<p style=\"text-align: justify;\"><strong>Bilje\u0161ka o autoru:<\/strong> <\/p>\n<p><span style=\"color: #0000ff;\"><strong>Boris Obsieger, D.Sc.<\/strong><\/span>, professor at the University of Rijeka, Croatia. Head of Section for Machine Elements at the Faculty of Engineering in Rijeka. Holds lectures on Machine Elements Design, Robot Elements Design, Numerical Methods in Design and Boundary Element Method. Several invited lectures. President of CADAM Conferences. Main editor of international journal Advanced Engineering. Author of several books and a lot of scientific papers.<br \/><strong><br \/>Klju\u010dne rije\u010di:<\/strong> Least squares, Orthogonal polynomials, Fourier series expansion, Uniform approximation, Chebyshev economisation<br \/><strong><br \/>Link:<\/strong> <a href=\"http:\/\/university-books.eu\">http:\/\/university-books.eu<\/a><br \/><strong>E-mail:<\/strong> <a href=\"mailto:boob@riteh.hr\">Boris Obsieger 1<\/a>\u00a0, <a href=\"mailto:boris@obsieger.org\">Boris Obsieger 2<\/a><\/p>\n<p style=\"text-align: justify;\"><strong>Naslov:<\/strong> Numerical Methods III &#8211; Approximation of Functions (unutra\u0161njost crno-bijela)<br \/><strong>Autor:<\/strong> Boris Obsieger<br \/><strong>Broj stranica:<\/strong> 260<br \/><strong>Nakladnik:<\/strong> Boris Obsieger<br \/><strong>Tisak:<\/strong> digitalni tisak knjiga &#8211; print na zahtjev\u00a0<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>Kako naru\u010diti knjigu?\u00a0<\/strong>Proces online kupovine jednako funkcionira za sve kupce, s jedinom razlikom u tome \u0161to \u0161to kupci iz inozemstva za podru\u010dje dostave moraju odabrati &#8220;Europa&#8221; ili &#8220;Ostale zemlje svijeta&#8221;, a za vrstu pla\u0107anja WSPay (kreditna kartica) ili Virmanom (bankovni transfer).<\/p>\n<p style=\"text-align: justify;\">Molimo kliknite ovdje za\u00a0<a href=\"hr\/kako-kupovati\" target=\"_blank\" rel=\"noopener\">detaljni vodi\u010d kroz proces narud\u017ebe<\/a>\u00a0ili nas\u00a0<a href=\"hr\/kontakt\" target=\"_blank\" rel=\"noopener\">kontaktirajte<\/a>\u00a0za vi\u0161e informacija.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sa\u017eetak: Format:\u00a0Black and White on White Paper, 6.30&#8243;x8.86&#8243; (225&#215;160 mm), Paperback, 260 pages. Several other Colour and Black &#038; White options are also available. An Colour option can be found here . About the book: An excellent textbook established at several universities. Primarily written for students at technical universities, it is also a very useful [&hellip;]<\/p>\n","protected":false},"featured_media":8138,"comment_status":"open","ping_status":"closed","template":"","meta":{"_acf_changed":false},"product_brand":[],"product_cat":[1539],"product_tag":[],"class_list":["post-8137","product","type-product","status-publish","has-post-thumbnail","product_cat-sveucilisni-udzbenici-i-prirucnici","pa_nakladnik-boris-obsieger","first","instock","shipping-taxable","purchasable","product-type-simple"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>NUMERICAL METHODS III - APPROXIMATION OF FUNCTIONS - Web-knji\u017eara<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/webknjizara.hr\/proizvod\/numerical-methods-iii-approximation-of-functions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NUMERICAL METHODS III - APPROXIMATION OF FUNCTIONS - Web-knji\u017eara\" \/>\n<meta property=\"og:description\" content=\"Sa\u017eetak: Format:\u00a0Black and White on White Paper, 6.30&#8243;x8.86&#8243; (225&#215;160 mm), Paperback, 260 pages. 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