concise handbook of mathematics, physics, engineering [pdf] polyanin, chernoutsan
A Concise Handbook of Mathematics, Physics, and Engineering Sciences by Andrei D. Polyanin, Alexei I. Chernoutsan
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About this book :-
A Concise Handbook of Mathematics, Physics, and Engineering Sciences
Andrei Polyanin, Alexei Chernoutsan .
This is a concise multisubject handbook, which consists of three major parts: mathematics, physics, and applied and engineering sciences. It presents basic notions, formulas, equations, problems, theorems, methods, and laws on each of the subjects in brief form. The absence of proofs and a concise presentation has permitted combining a substantial amount of reference material in a single volume. The handbook is intended for a wide audience of engineers and researchers (not specialized in mathematics or theoretical physics) as well as graduate and postgraduate students.
The first part of the book contains chapters on arithmetics, elementary and analytic geometry, algebra, differential and integral calculus, functions of complex variable, integral transforms, ordinary and partial differential equations, special functions, probability theory, etc.
The second part of the book contains chapters on molecular physics and thermodynamics, electricity and magnetism, oscillations and waves, optics, special relativity, quantum mechanics, atomic physics, etc.
The third part of the book contains chapters on dimensional analysis and similarity, mechanics of point masses and rigid bodies, strength ofmaterials, hydrodynamics, mass and heat transfer, electrical engineering, andmethods for constructing empirical and engineering formulas.
A compact and clear presentation of the material allows the reader to get quick help on (or revise) the desired topic. Special attention is paid to issues that many engineers and students may find difficult to understand. When selecting thematerial, the authors have given a pronounced preference to practical aspects; namely, to formulas, problems, methods, and laws that most frequently occur in sciences and engineering applications and university education. Many results are represented in tabular form. For the convenience of a wider audience with different mathematical backgrounds, the authors tried to avoid special terminology whenever possible. Therefore, some of the topics and methods are outlined in a schematic and somewhat simplified manner, which is sufficient for them to be used successfully in most cases. Many sections were written so that they could be read independently. The material within subsections is arranged in increasing order of complexity. This allows the reader to get to the heart of the matter quickly.
Book Detail :-
Title: A Concise Handbook of Mathematics, Physics, and Engineering Sciences
Author(s): Andrei D. Polyanin, Alexei I. Chernoutsan
Publisher: CRC Press
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About Author :-
The author Andrei D. Polyanin Andrei D. Polyanin, D.Se., Ph.D., is a noted scientist of broad interests (ordinary differential, partial differential, and integral equations, mathematical physics, engineering mathematics, nonlinear mechanics, heat and mass transfer. chemical hydrodynamics, and others).
Andrei Polyanin graduated from the Department of Mechanics and Mathematics of the Moscow State University in 1974. He received his Ph.D. degree in 1981 and D.Se. degree in 1986 at the Institute for Problems in Mechanics of the Russian (former USSR) Academy of Sciences. Since 1975, Andrei Polyanin has been a member of the staff of the Institute for Problems in Mechanics of the Russian Academy of Sciences.
Professor Polyanin is an author of 21 books in English. Russian, German, and Bulgarian. His publications also include more than 120 research papers and three patents. In 1991, Andrei Polyanin was awarded a Chaplygin Prize of the USSR Academy of Sciences for his research in mechanics. E-mail: polyanin@ipmncLru
The author Vladimir E. Nazaikinskii , D.Sc., is an actively working mathematician specializing in partial differential equations, mathematical physics, and noncommutative analysis. He was born in 1955 in Moscow, graduated from the Moscow Institute of Electronic Engineering in 1977, defended his Ph.D. in 1980 and D.Sc. in 2014, and worked at the Institute for Automated Control Systems, Moscow Institute of Electronic Engineering, Potsdam University, and Moscow State University. Currently he is a senior researcher at the Institute for Problems in Mechanics, Russian Academy of Sciences. He is the author of seven monographs and more than 90 papers on various aspects of noncommutative analysis, asymptotic problems, and elliptic theory.
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Book Contents :-
A Concise Handbook of Mathematics, Physics, and Engineering Sciences
Andrei Polyanin, Alexei Chernoutsan
cover the following topics.
M1. Arithmetic and Elementary Algebra
M2. Elementary Functions
M3. Elementary Geometry
M4. Analytic Geometry
M6. Limits and Derivatives
M9. Functions of Complex Variable
M10. Integral Transforms
M11. Ordinary Differential Equations
M12. Partial Differential Equations
M13. Special Functions and Their Properties
M14. Probability Theory
P1. Physical Foundations of Mechanics
P2. Molecular Physics and Thermodynamics
P4. Oscillations and Waves
P6. Quantum Mechanics. Atomic Physics
P7. Quantum Theory of Crystals
P8. Elements of Nuclear Physics
Part-III Elements of Applied and Engineering Sciences
E1. Dimensions and Similarity
E2. Mechanics of Point Particles and Rigid Bodies
E3. Elements of Strength of Materials
E5. Mass and Heat Transfer
E6. Electrical Engineering
E7. Empirical and Engineering Formulas and Criteria for Their Applicability
S2. Integral Transforms
S3. Orthogonal Curvilinear Systems of Coordinates
S4. Ordinary Differential Equations
S5. Some Useful Electronic Mathematical Resources
S6. Physical Tables
S7. Periodic Table
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