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A Concise Handbook of Mathematics, Physics, and Engineering Sciences pdf.

**A Concise Handbook of Mathematics, Physics, and Engineering Sciences.**

__Preface of A Concise Handbook of Mathematics, Physics, and Engineering Sciences book:__

This is a concise multi-subject 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 a 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, the strength of materials, hydrodynamics, mass and heat transfer, electrical engineering, and methods 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 the material, 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. The material of the reference book can be roughly categorized into the following three groups according to meaning:

1. The main text containing a concise, coherent survey of the most important definitions, formulas, equations, methods, theorems, and laws.

2. For the reader’s better understanding of the topics and methods under study, numerous examples are given throughout the book.

3. Discussion of additional issues of interest, given in the form of remarks in small print.

For the reader’s convenience, several long mathematical tables—indefinite and definite integrals, direct and inverse integral transforms (Laplace, Mellin, and Fourier transform), and exact solutions of differential equations—which contain a large amount of information, are presented in the supplement of the book. Also included are some physical tables and the periodic table of the chemical elements.

This handbook consists of parts, chapters, sections, and subsections. Figures and tables are numbered separately in each section, while formulas (equations) and examples are numbered separately in each subsection. When citing a formula, we use notation like (M3.1.2.5), which means formula 5 in Subsection M3.1.2. For the reader’s convenience, each citation number is preceded by a letter to indicate one of the major parts: mathematics (M), physics (P), engineering sciences (E), or supplements (S). At the end of each chapter, we present a list of main and additional literature sources containing more detailed information about topics of interest to the reader.

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