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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A Concise Handbook of Mathematics, Physics, and Engineering Sciences edited by
Andrei D. Polyanin, Alexei I. Ch ernoutsan .
Authors : a.I.Chernoutsan , a.V.Egorov, a.V.Manzhirov, a.d.Polyanin, V.d.Polyanin, V.a.Popov, b.V.Putyatin, Yu.V.Repina, V.m.Safrai, a.I.Zhurov
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.
A Concise Handbook of Mathematics, Physics, and Engineering Sciences edited by
Andrei D. Polyanin, Alexei I. Ch ernoutsan
cover the following topics.
Preface
Editors
Part I. Mathematics
M1. Arithmetic and Elementary Algebra
M2. Elementary Functions
M3. Elementary Geometry
M4. Analytic Geometry
M5. Algebra
M6. Limits and Derivatives
M7. Integrals
M8. Series
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
Part II. Physics
P1. Physical Foundations of Mechanics
P2. Molecular Physics and Thermodynamics
P3. Electrodynamics
P4. Oscillations and Waves
P5. Optics
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
E4. Hydrodynamics
E5. Mass and Heat Transfer
E6. Electrical Engineering
E7. Empirical and Engineering Formulas and Criteria for Their Applicability
Part IV. Supplements
S1. Integrals
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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