04054nam 22006613u 450 991100670370332120230803040254.09781523109579152310957297804861415960486141594(CKB)3710000000323176(EBL)1900943(SSID)ssj0001116000(PQKBManifestationID)12446143(PQKBTitleCode)TC0001116000(PQKBWorkID)11092286(PQKB)10651181(MiAaPQ)EBC1900943(Au-PeEL)EBL1900943(CaONFJC)MIL566522(OCoLC)868271141(Perlego)111731(EXLCZ)99371000000032317620141229d2013|||| u|| |engur|n|---|||||txtccrAdvanced Mathematics for Engineers and Scientists1st ed.Newburyport Dover Publications20131 online resource (720 p.)Dover Books on MathematicsDescription based upon print version of record.9780486479309 0486479307 DOVER BOOKS ON MATHEMATICS; Title Page; Dedication; Copyright Page; Table of Contents; Preface; 1 - Systems of Linear Algebraic Equations; SYSTEMS OF SIMULTANEOUS LINEAR EQUATIONS; LINEAR ALGEBRA; SOLVED PROBLEMS; 2 - Algebraic Eigenvalue Problems; DETERMINANTS; EIGENVALUES AND EIGENVECTORS; SOLVED PROBLEMS; 3 - Multivariable Calculus; MULTIVARIABLE DIFFERENTIAL CALCULUS; MULTIVARIABLE INTEGRAL CALCULUS; SOLVED PROBLEMS; 4 - Ordinary Differential Equations: Linear Initial Value Problems; INITIAL VALUE PROBLEMS FOR SINGLE EQUATIONS; SOLVED PROBLEMS5 - Nonlinear Ordinary Differential EquationsNONLINEAR EQUATIONS; NONLINEAR SYSTEMS; SOLVED PROBLEMS; 6 - Linear Boundary Value Problems; LINEAR BOUNDARY VALUE PROBLEMS; STURM-LIOUVILLE PROBLEMS; A FUNCTION SPACE; SINGULAR STURM-LIOUVILLE PROBLEMS; SOLVED PROBLEMS; 7 - Fourier Series and Eigenfunction Expansions; FORMAL PROPERTIES OF FOURIER SERIES; GENERALIZED FOURIER SERIES; SOLVED PROBLEMS; Convergence of Fourier Series; 8 - Integral Transforms; THE FOURIER TRANSFORM; LAPLACE TRANSFORM; SOLVED PROBLEMS; 9 - Linear Problems in Partial Differential Equations; PARTIAL DIFFERENTIAL EQUATIONSSOLVED PROBLEMS10 - Linear and Nonlinear Partial Differential Equations; FIRST ORDER EQUATIONS; SOLVED PROBLEMS; 11 - Functional Optimization and Variational Methods; FUNCTIONAL OPTIMIZATION; SOLVED PROBLEMS; 12 - Finite Difference Methods for Differential Equations; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SOLVED PROBLEMS; 13 - Introduction to the Finite Element Method; APPROXIMATION METHODS; THE FINITE ELEMENT METHOD; SOLVED PROBLEMS; IndexThis book can be used as either a primary text or a supplemental reference for courses in applied mathematics. Its core chapters are devoted to linear algebra, calculus, and ordinary differential equations. Additional topics include partial differential equations and approximation methods. Each chapter features an ample selection of solved problems. These problems were chosen to illustrate not only how to solve various algebraic and differential equations but also how to interpret the solutions in order to gain insight into the behavior of the system modeled by the equation. In addition to thDover Books on MathematicsMathematical analysisEngineering & Applied SciencesHILCCApplied MathematicsHILCCMathematical analysis.Engineering & Applied SciencesApplied Mathematics515DuChateau Paul338099AU-PeELAU-PeELAU-PeELBOOK9911006703703321Advanced Mathematics for Engineers and Scientists4389890UNINA