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Applied Mathematical Methods - IIT Kanpur

AppliedMathematicalMethods1,AppliedMathe maticalMethodsBhaskar DasguptaDepartmentof MechanicalEngineeringIndianInstituteof 13,2008 AppliedMathematicalMethods2,ContentsIPre liminaryBackgroundMatricesandLinear TransformationsOperationalFundamentalsof Linear AlgebraSystemsofLinear EquationsGaussEliminationFamilyofMethods SpecialSystemsandSpecialMethodsNumerical AspectsinLinear SystemsAppliedMathematicalMethods3,Conte ntsIIEigenvaluesandEigenvectorsDiagonali zationandSimilarity TransformationsJacobiandGivensRotationMe thodsHouseholderTransformationandTridiag onalMatricesQRDecompositionMethodEigenva lueProblemofGeneralMatricesSingular ValueDecompositionVector Spaces:FundamentalConcepts*AppliedMathem aticalMethods4,ContentsIIIT opicsinMultivariateCalculusVector Analysis:CurvesandSurfacesScalar andVector FieldsPolynomialEquationsSolutionofNonli near EquationsandSystemsOptimization:Introduc tionMulti

Applied Mathematical Methods 1, Applied Mathematical Methods Bhaskar Dasgupta Department of Mechanical Engineering Indian Institute of Technology Kanpur (INDIA) dasgupta@iitk.ac.in (Pearson Education 2006, 2007) May 13, 2008 Applied Mathematical Methods 2, Contents I Preliminary Background Matrices and Linear Transformations

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