LEADER 04054nam 22006613u 450 001 9911006703703321 005 20230803040254.0 010 $a9781523109579 010 $a1523109572 010 $a9780486141596 010 $a0486141594 035 $a(CKB)3710000000323176 035 $a(EBL)1900943 035 $a(SSID)ssj0001116000 035 $a(PQKBManifestationID)12446143 035 $a(PQKBTitleCode)TC0001116000 035 $a(PQKBWorkID)11092286 035 $a(PQKB)10651181 035 $a(MiAaPQ)EBC1900943 035 $a(Au-PeEL)EBL1900943 035 $a(CaONFJC)MIL566522 035 $a(OCoLC)868271141 035 $a(Perlego)111731 035 $a(EXLCZ)993710000000323176 100 $a20141229d2013|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAdvanced Mathematics for Engineers and Scientists 205 $a1st ed. 210 $aNewburyport $cDover Publications$d2013 215 $a1 online resource (720 p.) 225 1 $aDover Books on Mathematics 300 $aDescription based upon print version of record. 311 08$a9780486479309 311 08$a0486479307 327 $aDOVER 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 PROBLEMS 327 $a5 - 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 EQUATIONS 327 $aSOLVED 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; Index 330 $aThis book can be used as either a primary text or a supplemental reference for courses in applied mathematics. Its core chapters are devoted to linear algebra, calculus, and ordinary differential equations. Additional topics include partial differential equations and approximation methods. Each chapter features an ample selection of solved problems. These problems were chosen to illustrate not only how to solve various algebraic and differential equations but also how to interpret the solutions in order to gain insight into the behavior of the system modeled by the equation. In addition to th 410 0$aDover Books on Mathematics 606 $aMathematical analysis 606 $aEngineering & Applied Sciences$2HILCC 606 $aApplied Mathematics$2HILCC 615 0$aMathematical analysis. 615 7$aEngineering & Applied Sciences 615 7$aApplied Mathematics 676 $a515 700 $aDuChateau$b Paul$0338099 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9911006703703321 996 $aAdvanced Mathematics for Engineers and Scientists$94389890 997 $aUNINA