Practical and well communicated to the computer scientist Establishes cross-references between mathematics and computer science With numerous applications from computer science

Autorentext

Peter Hartmann is a professor at Landshut University of Applied Sciences in the Department of Computer Science. The focus of his teaching is on mathematics for computer scientists and business informatics specialists.

Inhalt

DISCRETE MATHEMATICS AND LINEAR ALGEBRA.- Sets and mappings.- Logic.- Natural numbers, complete induction, recursion.- Some number theory.- Algebraic structures.- Vector spaces.- Matrices.- Gaussian algorithm and systems of linear equations.- Eigenvalues, eigenvectors and basis transformations.- Scalar product and orthogonal maps.- Graph theory.- ANALYSIS.- The real numbers.- Sequences and series.- Continuous functions.- Differential calculus.- Integral calculus.- Differential equations.- Numerical methods.- PROBABILITY AND STATISTICS.- Probability spaces.- Random variables.- Important distributions and stochastic processes.- Statistical methods.- Appendix.

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