Mathematical physics for engineers [[electronic resource] /] / R.K. Bera, A.K. Bandyopadhyay, P.C. Ray

• Record Nr.: UNINA9910785886803321
• Autore: Bera R. K (Rasajit Kumar)
• Pubbl/distr/stampa: Tunbridge Wells, : New Academic Science Limited, c2012
• ISBN: 1-906574-38-3
• Descrizione fisica: 1 online resource (208 p.)
• Altri autori (Persone): BandyopadhyayA. K <1950-> (Asis Kumar); Ray. P. C (Pratap Chandra)
• Soggetti: Engineering mathematics; Mathematical physics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""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 Stokesâ€? Theorem ""; ""4.1 Line, Surface and Volume Integrals """"4.2 Gaussâ€? Divergence Theorem ""; ""4.3 Greenâ€?s Theorem ""; ""4.4 Stokesâ€? 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 (Cauchyâ€?Riemann) ""; ""15.1 mth-Order Pole ""; ""15.2 Simple Pole ""; ""15.3 Cauchy Residue Theorem ""; ""15.4 Cauchyâ€?s Principal Value ""; ""Chapter 16 Hermite Polynomial ""; ""16.1 Harmonic Oscillator and Hermite Equation ""; ""16.2 Solution of Hermiteâ€?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 ""