Mathematical physics for engineers / R.K. Bera, A.K. Bandyopadhyay, P.C. Ray.

Format:

Book

Author/Creator:

Bera, R. K. (Rasajit Kumar)

Contributor:

Bandyopadhyay, A. K. (Asis Kumar), 1950-

Ray, P. C. (Pratap Chandra)

Language:

English

Subjects (All):

Engineering mathematics.

Mathematical physics.

Physical Description:

1 online resource (208 p.)

Edition:

1st ed.

Place of Publication:

Tunbridge Wells : New Academic Science Limited, c2012.

Language Note:

English

Summary:

Covers certain aspects in mathematics such as Dirac Delta Function, Analyticity, Orthogonality, Singularity, and 'complex functions and series analysis' which are considered very useful in mathematical physics. This book discusses functions such as Hermite, Legendre, Laguerre, Chebyshev in terms of their applications to quantum mechanics.

Contents:

""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 ""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-906574-38-3

OCLC:

923311081