# A Concise Handbook of Mathematics, Physics, and Engineering Sciences

## Book Description

A 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.

Table of Contents

Part I: Mathematics

Chapter M1: Arithmetic and Elementary Algebra

Chapter M2: Elementary Functions

Chapter M3: Elementary Geometry

Chapter M4: Analytic Geometry

Chapter M5: Algebra

Chapter M6: Limits and Derivatives

Chapter M7: Integrals

Chapter M8: Series

Chapter M9: Functions of Complex Variable

Chapter M10: Integral Transforms

Chapter M11: Ordinary Differential Equations

Chapter M12: Partial Differential Equations

Chapter M13: Special Functions and Their Properties

Chapter M14: Probability Theory

Part II: Physics

Chapter P1: Physical Foundations of Mechanics

Chapter P2: Molecular Physics and Thermodynamics

Chapter P3: Electrodynamics

Chapter P4: Oscillations and Waves

Chapter P5: Optics

Chapter P6: Quantum Mechanics. Atomic Physics

Chapter P7: Quantum Theory of Crystals

Chapter P8: Elements of Nuclear Physics

Part III: Elements of Applied andEngineering Sciences

Chapter E1: Dimensions and Similarity

Chapter E2: Mechanics of Point Particles and Rigid Bodies

Chapter E3: Elements of Strength of Materials

Chapter E4: Hydrodynamics

Chapter E5: Mass and Heat Transfer

Chapter E6: Electrical Engineering

Chapter E7: Empirical and Engineering Formulasand Criteria for Their Applicability

Part IV: Supplements

Chapter S1: Integrals

Chapter S2: Integral Transforms

Chapter S3: Orthogonal CurvilinearSystems of Coordinates

Chapter S4: Ordinary Differential Equations

Chapter S5: Some Useful ElectronicMathematical Resources

Chapter S6: Physical Tables

Chapter S7: Periodic Table

## Book Details

- Title: A Concise Handbook of Mathematics, Physics, and Engineering Sciences
- Author: Andrei D. Polyanin
- Length: 1125 pages
- Edition: 1
- Language: English
- Publisher: CRC Press
- Publication Date: 2010-10-18
- ISBN-10: 143980639X
- ISBN-13: 9781439806395

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