04734nam 2200601Ia 450 991046192490332120200520144314.01-906574-38-3(CKB)2670000000245920(EBL)3382461(SSID)ssj0000738321(PQKBManifestationID)12341199(PQKBTitleCode)TC0000738321(PQKBWorkID)10792068(PQKB)11354246(MiAaPQ)EBC3382461(Au-PeEL)EBL3382461(CaPaEBR)ebr10595621(OCoLC)923311081(EXLCZ)99267000000024592020120918d2012 uy 0engur|n|---|||||txtccrMathematical physics for engineers[electronic resource] /R.K. Bera, A.K. Bandyopadhyay, P.C. RayTunbridge Wells New Academic Science Limitedc20121 online resource (208 p.)Description based upon print version of record.1-906574-02-2 Includes bibliographical references and index.""Cover ""; ""Preface ""; ""Contents ""; ""Chapter 1 Matrix Algebra ""; ""1.1 Matrix Algebra ""; ""1.2 Matrix Operations ""; ""1.3 Properties ""; ""1.4 Square Matrices ""; ""1.5 Eigenvalues and Eigenvectors ""; ""Chapter 2 Determinants ""; ""2.1 Homogeneous Linear Equations ""; ""2.2 Properties of the Determinant ""; ""2.3 Applications ""; ""Chapter 3 Vector Derivatives ""; ""3.1 The Gradient ""; ""3.2 The Divergence ""; ""3.3 The Curl ""; ""3.4 The Product Rules ""; ""3.5 Derivatives of the Second Order ""; ""3.6 Applications ""; ""Chapter 4 Gauss, Green and Stokes� Theorem """"4.1 Line, Surface and Volume Integrals """"4.2 Gauss� Divergence Theorem ""; ""4.3 Green�s Theorem ""; ""4.4 Stokes� Curl Theorem (Relation between Line and Surface Integrals) ""; ""Chapter 5 Dirac Delta Function ""; ""5.1 General Behavior of Delta Function ""; ""5.2 Generalised Fourier Series ""; ""5.3 Fourier Transform and Dirac Delta Function ""; ""Chapter 6 Differential Calculus ""; ""6.1 Operators and Eigenvalues ""; ""6.2 Expectation Value ""; ""6.3 Separation of Variables ""; ""6.4 Wave Function ""; ""6.5 Application of Differential Equations in Wave Mechanics """"6.6 Linear Differential Equation with Constant Coefficients """"6.7 Series Solutions ""; ""Chapter 7 Frobenius Method ""; ""7.1 The Starting Point ""; ""7.2 Indicial Equation ""; ""7.3 Recurrence Relation ""; ""7.4 Application ""; ""Chapter 8 Convergence ""; ""8.1 Uniform Convergence ""; ""8.2 Convergence of a Functional Series ""; ""8.3 Convergence in the Mean""; ""8.4 Convergence Test ""; ""Chapter 9 Orthogonality ""; ""9.1 The Starting Point ""; ""9.2 Application ""; ""Chapter 10 Wronskian ""; ""10.1 Solutions Having Linear Independence ""; ""10.2 Application """"Chapter 11 Analytic Function """"11.1 Analyticity and Derivatives of f(z) ""; ""11.2 Harmonic Functions ""; ""11.3 Contour Integrals ""; ""11.4 Integral Theorem of Cauchy ""; ""11.5 Integral Formula of Cauchy ""; ""Chapter 12 Taylor Series ""; ""12.1 The Starting Point ""; ""12.2 Applications ""; ""Chapter 13 Laurent Expansion ""; ""13.1 The Starting Point ""; ""13.2 Application ""; ""Chapter 14 Singularity ""; ""14.1 Some Points About Singularity ""; ""14.2 Singularity as X ""; ""14.3 Isolated Singularities ""; ""14.4 Simple Pole or Pole ""; ""14.5 Essential Singularity """"14.6 Branch Point Singularity """"14.7 Application ""; ""Chapter 15 Calculus of Residues (Cauchy�Riemann) ""; ""15.1 mth-Order Pole ""; ""15.2 Simple Pole ""; ""15.3 Cauchy Residue Theorem ""; ""15.4 Cauchy�s Principal Value ""; ""Chapter 16 Hermite Polynomial ""; ""16.1 Harmonic Oscillator and Hermite Equation ""; ""16.2 Solution of Hermite�s Equation by a Polynomial Series ""; ""Chapter 17 Legendre Polynomial ""; ""17.1 The Starting Point ""; ""17.2 Applications ""; ""Chapter 18 Laguerre Polynomial ""; ""18.1 The Starting Point ""; ""18.2 Associated Laguerre Equation """"18.3 Application ""Engineering mathematicsMathematical physicsElectronic books.Engineering mathematics.Mathematical physics.Bera R. K(Rasajit Kumar)863980Bandyopadhyay A. K(Asis Kumar),1950-863981Ray. P. C(Pratap Chandra)863982MiAaPQMiAaPQMiAaPQBOOK9910461924903321Mathematical physics for engineers1928596UNINA