A Concise Handbook of Mathematics, Physics, and Engineering SciencesA 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 |
Contents
| 3 | |
3 Properties of Trigonometric Functions | |
2 Properties of Inverse Trigonometric Functions | |
Inverse Hyperbolic Functions | |
4 Perturbation Methods in Problems with a Small Parameter | |
M3 Elementary Geometry | |
E1 Dimensions and Similarity | |
Basic Principles and Definitions | |
E2 Mechanics of Point Particles and Rigid Bodies | |
2 The Direct and Inverse Problems of Kinematics | |
4 Arbitrary Motion of a Rigid Body | |
Statics | |
1 Translational and Rotational Motion Plane Motion | |
5 Theorem on the Kinetic Energy | |
2 Distance Between Points Division of Segment in Given Ratio Area of | |
Quadratic Curves | |
4 Parabola | |
Coordinates Vectors Curves and Surfaces in Space | |
2 Line in Space | |
Bibliography for Chapter | |
2 Matrices Types of Matrices Operations with Matrices | |
Quadratic Forms | |
1 Number Sets Functions of Real Variable | |
5 Integration of Exponential and Trigonometric Functions | |
6 Improper Integrals with Infinite Integration Limits | |
8 Approximate Numerical Methods for Computation of Definite Integrals | |
3 Surface Integral of the First Kind | |
2 Taylor and Maclaurin Power Series | |
Functions of Complex Variables | |
4 Zeros and Isolated Singularities of Analytic Functions | |
3 Limit Theorems Representation of Inverse Transforms as Convergent Series | |
6 Approximate Analytic Methods for Solution of Equations | |
M12 Partial Differential Equations | |
2 Equations with Many Independent Variables | |
1 Harmonic Oscillations Composition of Oscillations | |
2 Nonhomogeneous Linear Equations and Their Particular Solutions | |
4 Eigenvalue Problems | |
3 Solution of Problems for Elliptic Equations | |
Boundary Value Problems for Parabolic Equations with One Space Variable | |
Boundary Value Problems for Hyperbolic Equations with One Space Variable | |
Boundary Value Problems for Elliptic Equations with Two Space Variables | |
4 Construction of the Greens Functions General Formulas and Relations | |
M13 Special Functions and Their Properties | |
3 Beta Function | |
2 Laguerre Polynomials and Generalized Laguerre Polynomials | |
4 Sequence of Trials | |
4 Main Continuous Distributions and Their Numerical Characteris tics | |
P7 Quantum Theory of Crystals | |
1 Elastic and Acoustic Waves | |
Electrons in a Periodic Field Energy Bands | |
2 Nuclear Forces | |
P5 Optics | |
2 Nuclear Reactions | |
Subatomic Particles | |
P3 Electrodynamics | |
Electric Charge Coulombs | |
5 Lagrange Equations of the Second Kind | |
3 Motion of a Rigid Body about a Fixed Point | |
Electric Field Strength and Potential | |
1 Newtons First Law Mass Momentum Force | |
Bibliography for Chapter | |
2 Stresses and Strains in Torsion | |
Combined Stress | |
E4 Hydrodynamics | |
Hydrodynamics of Thin Films | |
Hydrodynamic Boundary Layers on a Flat Plate | |
2 Spherical Drops and Bubbles in Translational Flow at Various Reynolds | |
Bibliography for Chapter | |
1 Mass Exchange Between Gases and Liquid Films | |
2 Heat and Mass Transfer in a Circular Tube with Constant Heat Flux at | |
2 Transient Mass and Heat Exchange | |
2 General Correlations for the Sherwood Number | |
1 Introduction Basic Notions Definitions and Notation | |
E7 Empirical and Engineering Formulas and Criteria for Their Applicability | |
3 Combined Method for Verifying Empirical Formulas | |
Bibliography for Chapter | |
7 Integrals Involving Inverse Trigonometric Functions | |
Limit Theorems | |
8 Superposition Principle The Notion of Input and Transfer Conductances | |
2 Application of Gausss Theorem | |
First Law of Thermodynamics | |
Geometric Optics Radiometry | |
4 Potential Curves Stability | |
3 Ampères Circuital Law and Flux of Magnetic Induction | |
2 Limit Theorems | |
Other editions - View all
A Concise Handbook of Mathematics, Physics, and Engineering Sciences Andrei D. Polyanin,Alexei I. Chernoutsan No preview available - 2010 |
A Concise Handbook of Mathematics, Physics, and Engineering Sciences Andrej D. Poljanin,Alexei I. Chernoutsan No preview available - 2017 |
Common terms and phrases
a₁ algebraic angle angular arbitrary asymptotic axis boundary conditions boundary value problem C₁ calculated called Cartesian coordinate Cartesian coordinate system coefficients constant convergent coordinate axes coordinate system corresponding cosx cross-section curve defined denoted determined differential equation dimensionless distribution domain eigenvalues electron elementary ellipse energy equal Example f₁ flow fluid forces formula Fourier function f(x given graph Green's function hyperbolic improper integral integral inverse k₁ Laplace transform linear equation logarithmic M₁ mass Mathematical matrix momentum motion nuclear nucleons nucleus obtain parallelepiped parameters particle Peclet numbers perpendicular plane polynomial properties quadratic form quarks radius random variable real numbers Reynolds numbers rigid body roots rotation scalar sinx spherical Stokes flow straight line Subsection surface temperature theorem triangle trigonometric functions tube vector velocity x₁ zero