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This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications. In the newer editions emphasis was laid on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistics, as well as Information Processing. Besides many enhancements and new paragraphs, new sections on Geometric and Coordinate Transformations, Quaternions and Applications, and Lie Groups and Lie Algebras were added for the sixth edition.
List of Tables
Arithmetics
Functions
Geometry
Linear Algebra
Algebra and Discrete Mathematics
Differentiation
Infinite Series
Integral Calculus
Differential Equations
Calculus of Variations
Linear Integral Equations
Functional Analysis
Vector Analysis and Vector Fields
Function Theory
Integral Transformations
Probability Theory and Mathematical Statistics
Dynamical Systems and Chaos
Optimization
Numerical Analysis
Computer Algebra Systems- Example Mathematica
Tables
Mathematic Symbols