Mumerical AnalysisWuhan University ofTransportation
Numerical Analysis Wuhan University of Transportation
MTeaching material《Numerical Analysis 》 (9th)Richard L. Burden, J. Douglas Faires, 2011 by Brooks-Cole,Cengage Learningm Bibliography《 Theoretical Numerical Analysis》Kendall Atkinson, Weimin Han, 2009 by SpringerDordrecht Heidelberg London New York《A Theoretical Introduction to Numerical Analysis》Victor S. Rvaben'kii, Semvon V. Tsvnkov, 2007 by Taylor &Francis Group, LLC
Teaching material 《Numerical Analysis 》(9th) Richard L. Burden, J. Douglas Faires, 2011 by Brooks-Cole, Cengage Learning Bibliography 《 Theoretical Numerical Analysis》 Kendall Atkinson, Weimin Han，2009 by Springer Dordrecht Heidelberg London New York 《A Theoretical Introduction to Numerical Analysis》 Victor S. Rvaben'kii, Semvon V. Tsvnkov, 2007 by Taylor & Francis Group, LLC
Chapter 1 Introduction1 The Object and Character of Numerical Analysis2 Computer Machine Number System and FloatingPointArithmetic3TheErrorofNumericalAnalysis4 QualitativeError Analysis and Avoid ErrorHarm
Chapter 1 Introduction 1 The Object and Character of Numerical Analysis 2 Computer Machine Number System and Floating Point Arithmetic 4 Qualitative Error Analysis and Avoid Error Harm 3 The Error of Numerical Analysis
s1 The Objects and Characters of Numerical Analysis1)The study objectsNumerical analvsis is also called calculation method.Itcan propose numericalcalculation method and theory tosolve problems according to mathematicalmodel ofpracticalproblems.2)ContentNumericalapproximation offunction;Numerical differentialand numericalintegral;Numerical solution of nonlinear equations;Numerical linearalgebra;Ordinary differential and partial differentialnumerical solution
§1 The Objects and Characters of Numerical Analysis 1) The study objects Numerical analysis is also called calculation method. It can propose numerical calculation method and theory to solve problems according to mathematical model of practical problems. 2) Content Numerical approximation of function； Numerical differential and numerical integral； Numerical solution of nonlinear equations； Numerical linear algebra； Ordinary differential and partial differential numerical solution
3)CharacteristicNumerical analysis not only includes characters of highlyabstract of pure mathematics and rigorous scientificitybut also has the wide range of applications and the hightechnology of the actual test. It is a mathematicscurriculum combined with the use of computer withhighlypracticability4)Thechartersof numericalanalysisOFaced to the computer, supply the feasible and effectivearithmetic;OHaving reliable theory, doing error analysis toarithmetic and can get the precision demand;
3) Characteristic Numerical analysis not only includes characters of highly abstract of pure mathematics and rigorous scientificity but also has the wide range of applications and the high technology of the actual test. It is a mathematics curriculum combined with the use of computer with highly practicability. 4)The charters of numerical analysis ⚫Faced to the computer, supply the feasible and effective arithmetic； ⚫Having reliable theory，doing error analysis to arithmetic and can get the precision demand;