Preface
This fifth edition is based on the fourth English edition and corresponds to the improved sixth
German edition It contains all the chapters of the both mentioned editions but in a renewed
revised and extended form
So in the work at hand the classical areas of Engineering Mathematics required for current practice are presented such as Arithmetic Functions Geometry Linear Algebra Algebra and Discrete
Mathematics including Logic Set Theory Classical Algebraic Structures Finite Fields Elementary Number Theory Cryptology Universal Algebra Boolean Algebra and Switch Algebra Algorithms of Graph Theory Fuzzy Logic Differentiation 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
Fields of mathematics that have gained importance with regards to the increasing mathematical mod
eling and penetration of technical and scienti??c processes also receive special attention Included
amongst these chapters are Stochastic Processes and Stochastic Chains
as well as Calculus of Errors
Dynamical Systems and Chaos
Optimization
Numerical Analysis
Using the Computer
and Computer Algebra Systems The chapter
containing a large number of useful tables for practical work has been completed by
adding tables with the physical units of the International System of Units SI
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