## Essential Mathematical Methods for PhysicistsThis new adaptation of Arfken and Weber's bestselling Mathematical Methods for Physicists, Fifth Edition, is the most comprehensive, modern, and accessible reference for using mathematics to solve physics problems. REVIEWERS SAY: "Examples are excellent. They cover a wide range of physics problems." - Bing Zhou, University of Michigan "The ideas are communicated very well and it is easy to understand...It has a more modern treatment than most, has a very complete range of topics and each is treated in sufficient detail....I'm not aware of another better book at this level..." -Gary Wysin, Kansas State University * This is a more accessible version of Arken/Weber's blockbuster reference, which already has more than 13,000 sales worldwide * Many more detailed, worked-out examples illustrate how to use and apply mathematical techniques to solve physics problems * More frequent and thorough explanations help readers understand, recall, and apply the theory * New introductions and review material provide context and extra support for key ideas * Many more routine problems reinforce basic, foundational concepts and computations |

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### Contents

1 Vector Analysis | 1 |

2 Vector Analysis in Curved Coordinates and Tensors | 96 |

3 Determinants and Matrices | 159 |

4 Group Theory | 229 |

5 Infinite Series | 257 |

Analytic Properties Mapping | 318 |

Calculus of Residues | 372 |

8 Differential Equations | 410 |

13 Hermitie and Laguerre Polynomials | 638 |

14 Fourier Series | 663 |

15 Integral Transforms | 689 |

16 Partial Differential Equations | 756 |

17 Probability | 782 |

18 Calculus of Variations | 826 |

19 Nonlinear Methods and Chaos | 867 |

Appendix 1 Real Zeros of a Function | 905 |

### Common terms and phrases

analytic angle angular momentum apply asymptotic Bessel functions boundary conditions calculate Cartesian Chapter coefficients complex components constant contour convergence coordinate system corresponding cosine deﬁned derivatives determinant differential equation divergence eigenfunctions eigenvalues Euler Evaluate example Exercise expansion exponential Figure ﬁnd finite ﬁrst ﬁxed formula Fourier series Fourier transform gamma function given harmonic Hermitian Hint independent integral integrand interval inverse Laguerre Laplace transform Legendre polynomials linear mathematical matrix method multiplying normal Note obtain operator orthogonal oscillator parameter particle physics plane potential power series problem quantum mechanics radial random variable recurrence relation representation rotation saddle point scalar product Section Show singular solution solved space spherical polar coordinates Substituting surface symmetry tensor theorem theory tion uniform convergence unit vectors vanishes velocity wave function Wronskian yields zero

### Popular passages

Page 866 - ... order where the appearance of disorder reigned. Then it enables us to see at a glance each of these elements in the place it occupies in the whole. Not only is the new fact valuable on its own account, but it alone gives a value to the old facts it unites. Our mind is as frail as our senses are; it would lose itself in the complexity of the world if that complexity were not harmonious...

### References to this book

Rechenmethoden der Physik: Mathematischer Begleiter zur Experimentalphysik May-Britt Kallenrode No preview available - 2005 |