## Mathematics for Physical ChemistryMathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data. * Numerous examples and problems interspersed throughout the presentations * Each extensive chapter contains a preview, objectives, and summary * Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory * Provides chemistry specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics |

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### Contents

1 | |

21 | |

The Solution of Algebraic Equations | 57 |

Mathematical Functions and Differential Calculus | 89 |

Integral Calculus | 121 |

Mathematical Series and Transforms | 158 |

Calculus With Several Independent Variables | 189 |

Differential Equations | 234 |

Appendixes | 364 |

Values of Physical Constants1 | 365 |

Some Mathematical Formulas and Identities | 367 |

Infinite Series | 370 |

A Short Table of Derivatives | 373 |

A Short Table of Indefinite Integrals | 375 |

A Short Table of Definite Integrals | 379 |

The Error Function | 383 |

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### Common terms and phrases

algebra angle antiderivative approximation axis Calculate called Cartesian coordinates cell Chapter coefficients column complex number constant convergence cos(x cosine curve data points defined definite integral denoted dependent determinant differential equation discuss equal exact differential example EXERCISE expected error exponential expression factor Figure Find the value finite formula Fourier series Fourier transform function f given ideal gas improper integral independent variable infinitesimal integrand function interval inverse Laplace transform least-squares limit line integral linear logarithms Maclaurin series magnitude Mathematica mathematical matrix maximum measured method molecule multiplication negative obtain partial derivatives physical chemistry plane polar coordinates positive probability procedure quantity radians represent result root rough graph sample scalar Show significant digits simultaneous equations sin(x sine solution solved specified square standard deviation symbol symmetry operators temperature tion trigonometric functions vanishes vector velocity write zero

### Popular passages

Page 26 - THEOREM, pi-thag-a-re'an, the statement that the area of the square upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares on the other two sides.

Page 22 - PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant (.082 liter-atm/mole °K) , and T is the absolute temperature.

Page 11 - Units physical quantity name of unit symbol for unit length metre m mass kilogram kg time second s electric current ampere A thermodynamic temperature kelvin K luminous intensity candela cd amount of substance mole mol ' plane angle radian rad ' solid angle steradian sr