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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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