A Concise Handbook of Mathematics, Physics, and Engineering Sciences: 1st Edition (Paperback) book cover

A Concise Handbook of Mathematics, Physics, and Engineering Sciences

1st Edition

By Andrei D. Polyanin, Alexei I. Chernoutsan

CRC Press

1,125 pages | 381 B/W Illus.

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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.


Concise presentation (without proofs), mindfulness of differing mathematical backgrounds (avoidance of special terminology when possible), and emphasis on practical aspects (formulas, problems, methods, and laws that occur frequently in engineering applications) contribute to the usefulness of this single-volume reference. Many sections are self contained; subsections are arranged in increasing order of complexity; and a bibliography is included for each chapter. …

SciTech Book News, February 2011

Table of Contents


Arithmetic and Elementary Algebra

Elementary Functions

Elementary Geometry

Analytic Geometry


Limits and Derivatives



Functions of Complex Variables

Integral Transforms

Ordinary Differential Equations

Partial Differential Equations

Special Functions and Their Properties

Probability Theory


Physical Foundations of Mechanics

Molecular Physics and Thermodynamics


Oscillations and Waves


Quantum Mechanics. Atomic Physics

Quantum Theory of Crystals

Elements of Nuclear Physics


Dimensions and Similarity

Mechanics of Point Particles and Rigid Bodies

Elements of Strength of Materials


Mass and Heat Transfer

Electrical Engineering

Empirical and Engineering Formulas and Criteria for Their Applicability



Integral Transforms

Orthogonal Curvilinear Systems of Coordinates

Ordinary Differential Equations

Some Useful Electronic Mathematical Resources


References appear at the end of each chapter.

About the Authors

Andrei D. Polyanin is a professor in the Institute for Problems in Mechanics at the Russian Academy of Sciences and a professor of mathematics at Bauman Moscow State Technical University. He is a member of the Russian National Committee on Theoretical and Applied Mechanics as well as the Mathematics and Mechanics Expert Council of the Higher Certification Committee of the Russian Federation. A prolific author of more than 30 books and over 140 research papers, Dr. Polyanin has been a recipient of the Chaplygin Prize from the Russian Academy of Sciences and an award from the Ministry of Education of the Russian Federation.

Alexei I. Chernoutsan is a professor, dean of the Faculty of Natural Sciences Education, and head of the Department of Physics at Gubkin Russian State University of Oil and Gas. Dr. Chernoutsan is a prominent scientist in the fields of statistical physics, fluctuation kinetics, phase transitions, and percolation theory. He is deputy editor-in-chief of Kvant, a popular Russian educational magazine for schoolchildren and students.

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Mathematical Physics
TECHNOLOGY & ENGINEERING / Engineering (General)