## A Concise Handbook of Mathematics, Physics, and Engineering SciencesA Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students find difficult to understand. The first part of the book contains chapters on arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, functions of complex variables, integral transforms, ordinary and partial differential equations, special functions, and probability theory. The second part discusses molecular physics and thermodynamics, electricity and magnetism, oscillations and waves, optics, special relativity, quantum mechanics, atomic and nuclear physics, and elementary particles. The third part covers dimensional analysis and similarity, mechanics of point masses and rigid bodies, strength of materials, hydrodynamics, mass and heat transfer, electrical engineering, and methods for constructing empirical and engineering formulas. The main text offers a concise, coherent survey of the most important definitions, formulas, equations, methods, theorems, and laws. Numerous examples throughout and references at the end of each chapter provide readers with a better understanding of the topics and methods. Additional issues of interest can be found in the remarks. For ease of reading, the supplement at the back of the book provides several long mathematical tables, including indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential equations. |

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### Contents

3 | |

15 | |

Elementary Geometry | 37 |

Analytic Geometry | 61 |

Algebra | 103 |

Limits and Derivatives | 139 |

Integrals | 171 |

Series | 211 |

Quantum Theory of Crystals | 597 |

Elements of Nuclear Physics | 617 |

Elements of Applied andEngineering Sciences | 653 |

Dimensions and Similarity | 655 |

Mechanics of Point Particles and Rigid Bodies | 667 |

Elements of Strength of Materials | 745 |

Hydrodynamics | 773 |

Mass and Heat Transfer | 821 |

Functions of Complex Variable | 229 |

Integral Transforms | 251 |

Ordinary Differential Equations | 261 |

Partial Differential Equations | 305 |

Special Functions and Their Properties | 355 |

Probability Theory | 379 |

Physics | 403 |

Physical Foundations of Mechanics | 405 |

Molecular Physics and Thermodynamics | 441 |

Electrodynamics | 469 |

Oscillations and Waves | 511 |

Optics | 535 |

Quantum Mechanics Atomic Physics | 569 |

Electrical Engineering | 865 |

Empirical and Engineering Formulasand Criteria for Their Applicability | 921 |

Supplements | 943 |

Integrals | 945 |

Integral Transforms | 975 |

Orthogonal CurvilinearSystems of Coordinates | 1005 |

Ordinary Differential Equations | 1011 |

Some Useful ElectronicMathematical Resources | 1035 |

Physical Tables | 1037 |

Periodic Table | 1047 |

Back cover | 1051 |

### Other editions - View all

A Concise Handbook of Mathematics, Physics, and Engineering Sciences Andrei D. Polyanin,Alexei I. Chernoutsan No preview available - 2010 |

A Concise Handbook of Mathematics, Physics, and Engineering Sciences A. D. Polianin,Alexei I. Chernoutsan No preview available - 2017 |