## Concise Handbook of Mathematics and PhysicsConcise Handbook of Mathematics and Physics presents a unified and coherent treatment of all the major aspects of modern elementary physics and mathematics. This complete text/reference includes definitions of fundamental notations and physical and mathematical quantities, formulas that express the laws of physics, axioms and theorems of mathematics, and more. The information is organized logically (instead of alphabetically) for better comprehension and quick, convenient access. The book contains extensive cross-referencing between the mathematical and physical sections. reflecting the considerable overlap between these two areas of study and increasing the usefulness of this handbook. Fundamental concepts, theorems, and laws are demonstrated through numerous practical examples and tasks to help build problem-solving skills. |

### Contents

Sets Real Numbers Functions | 15 |

Relativistic and Quantum Physics | 18 |

Equations and Systems of Equations Inequalities | 35 |

Reduction of the degree of a polynomial | 43 |

Trigonometry | 58 |

Elements of Calculus | 73 |

15 | 77 |

Combinatorics | 111 |

Probability Theory | 199 |

PHYSICS | 207 |

Mechanics | 227 |

35 | 247 |

Molecular Physics | 281 |

Electricity and Magnetism | 321 |

Oscillations and Waves | 359 |

Optics | 409 |

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### Common terms and phrases

acceleration amplitude angle antiderivative approximate arbitrary arcsin axis b₁ body calculation called center of mass circuit coefficient complex numbers conductor constant convergent corresponding Coulomb's law curve defined denoted depends derivative determined distance domain of definition electric charge electromotive force equal equation equilibrium example Figure force formula frequency friction frustum function f(x geometric given graph gravitational heat ideal gas Improper integrals induction inequality infinite integral interaction intersection interval inverse inverse function kinetic limit linear liquid magnetic field modulus molecules motion multiply Newton's Newton's second law obtain oscillations parallel particles perpendicular physical quantities plane polygon polynomial potential energy pressure quadratic quadratic equation radius ratio real numbers roots rotation Section segment sequence sides solution straight line surface symmetry tangent temperature theorem thermodynamic thermodynamic temperature tion triangle trigonometric functions units variable vector velocity voltage waves x-axis zero