Mathematics Handbook: for Science and Engineering

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Springer 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

Preface
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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