Handbook of Mathematics for Engineers and ScientistsCovering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations. |
Contents
Arithmetic and Elementary Algebra | 3 |
Elementary Functions | 19 |
Elementary Geometry | 43 |
Analytic Geometry | 77 |
Algebra | 155 |
Limits and Derivatives | 235 |
Integrals | 273 |
Series | 337 |
Probability Theory | 1031 |
Mathematical Statistics | 1081 |
Mathematical Tables | 1111 |
Finite Sums and Infinite Series | 1113 |
Integrals | 1129 |
Integral Transforms | 1157 |
Orthogonal Curvilinear Systems of Coordinate | 1195 |
Ordinary Differential Equations | 1207 |
Differential Geometry | 367 |
Functions of Complex Variable | 399 |
Integral Transforms | 435 |
Ordinary Differential Equations | 453 |
FirstOrder Partial Differential Equations | 553 |
Linear Partial Differential Equations | 585 |
Nonlinear Partial Differential Equations | 653 |
Integral Equations | 801 |
Difference Equations and Other Functional Equations | 873 |
Special Functions and Their Properties | 937 |
Calculus of Variations and Optimization | 991 |
Systems of Ordinary Differential Equations | 1229 |
FirstOrder Partial Differential Equations | 1247 |
Linear Equations and Problems of Mathematical Physics | 1267 |
Nonlinear Mathematical Physics Equations | 1301 |
Systems of Partial Differential Equations | 1337 |
Integral Equations | 1385 |
Functional Equations | 1409 |
Some Useful Electronic Mathematical Resources | 1451 |
| 1453 | |
Other editions - View all
Handbook of Mathematics for Engineers and Scientists Andrei D. Polyanin,Alexander V. Manzhirov Limited preview - 2006 |
Handbook of Mathematics for Engineers and Scientists Andrei D. Polyanin,Alexander V. Manzhirov No preview available - 2006 |
Common terms and phrases
algebraic angle arbitrary constants arbitrary function asymptotic axis boundary conditions boundary value problem called Cartesian coordinate system Cauchy problem coefficients Consider convergent corresponding curve defined denoted derivatives determined difference equation domain eigenvalues elliptic exact solutions Example expansion finite first-order formula Fourier function f(x functional equation given Green's function heat equation homogeneous hyperbolic improper integral independent variables inequality initial conditions integral equation interval invariant inverse kernel Laplace transform linear equation matrix method nonhomogeneous obtain ordinary differential equation original equation parabolic Paragraph parameter partial differential equation particular solution plane polynomial quadratic relation Remark respect right-hand side roots satisfies second-order solution of equation solving space straight line Subsection Substituting surface tangent THEOREM triangle vector zero ди მა მე მო მყ