Mathematics Handbook: for Science and EngineeringSpringer Science & Business Media, 17.04.2013 - 546 Seiten This is the fourth edition of the Mathematics handbook for science and engineering (BETA). Compared to the previous editions a number of additions and corrections have been made. The Mathematics handbook covers basic areas of mathematics, numerical analysis, probability and statistics and various applications. The handbook is intended for students and teachers of mathematics, science and engineering and for profession als working in these areas. The aim of the handbook is to provide useful informa tion in a lucid and accessible form in a moderately large volume. The handbook concentrates on definitions, results, formulas, graphs, figures and tables and emphasizes concepts and methods with applications in technology and science. The Mathematics handbook is organised in 19 chapters starting with basic concepts in discrete mathematics and ending with chapters on probability and statistics and a miscellaneous chapter. Crossreferences and an extensive index help the user to find required information. We have not included numerical tables of functions which are available on most scientific calculators and pocket computers. We have treated one variable and multi variable calculus in different chapters, because students, usu ally, meet these areas in different courses. In formulating theorems and results sometimes all assumptions are not explicitely stated. |
Inhalt
| 7 | |
Algebra | 43 |
Geometry and Trigonometry | 66 |
Linear Algebra | 87 |
The Elementary Functions | 115 |
Differential Calculus one variable | 129 |
Integral Calculus | 137 |
5 | 174 |
Vector Analysis | 242 |
Orthogonal Series and Special Functions | 255 |
Transforms | 306 |
Complex Analysis | 344 |
Optimization | 360 |
Numerical Analysis and Programming | 374 |
Probability Theory | 407 |
Statistics | 462 |
1 | 186 |
Ordinary Differential Equations ODE | 196 |
5 | 212 |
Miscellaneous | 513 |
Glossary of functions | 527 |
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Häufige Begriffe und Wortgruppen
a₁ a²x² a²x²+c² algebra angle approximation arcsin arctan Assume ax+b ax²+bx+c Banach space Boolean coefficients confidence interval conformal mapping constant continuous convergent coordinates cosax cosh cosx curve defined denote differential equation digraph dxdy eigenvalues eigenvectors elements Example exists Exponential F-distribution finite formula Fourier transform function F h₁ integrals inverse inverse trigonometric functions irreducible polynomial k₁ Laplace transform linear linearly independent mathematician matrix method multiplication node norm normal distribution Notation orthogonal plane polynomial problem R₁ random numbers random variables roots rotation S₁ sample sequence sinax sinh sinx solution space statistical symmetric tanh theorem u₁ V₁ vector X₁ zero λη π π ди Уп
