## A Text Book of Mathematical PhysicsBased on the encouraging response to the first edition and taking into account valuable suggestions from teachers as well as students, the text for Vector Space, Matrices, Special Functions, Fourier Series, Fourier Transform, and Laplace Transform (which forms a complete set of study) has been improved throughout and presented in a systematic manner by using simple language and additional exercises included to further enhance the utility of the book for graduate, postgraduate and engineering students. |

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### Contents

Preface to the Second Edition | 1 |

Matrices | 14 |

Special Functions | 42 |

Copyright | |

47 other sections not shown

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### Common terms and phrases

associated Legendre polynomial coefficient of tn coefficients are obtained components constant coordinate system cosx diagonal matrix eigenvalues eigenvectors Equating the coefficients Exercise expansion coefficients Find Fourier transform Find inverse Laplace Find the Fourier Finite Fourier cosine Finite Fourier sine following manner Fourier cosine transform Fourier series expansion Fourier series representation Fourier sine series Fourier sine transform function f(t given function Hence Hermitian conjugate Hn(x independent elements inner product integrating this equation inverse Laplace transform J-oo Jn(x known Kronecker delta function Laguerre polynomial Legendre's differential equation linear differential equation linearly independent vectors Ln(x matrix of order maximum number Multiplying equation non-zero number of independent nx dx odd function orthogonal matrix Pn(x positive integer Represent the function Rodrigue's formula satisfies the relations series solution Show sides of equation sin0 singular points sinnx dx square matrix square unitary matrix st dt Substituting equation t)cos u(x transform of function