Algorithms play an increasingly important role in nearly all fields
of mathematics. This book allows readers to develop basic
mathematical abilities, in particular those concerning the design
and analysis of algorithms as well as their implementation. It
presents not only fundamental algorithms like the sieve of
Eratosthenes, the Euclidean algorithm, sorting algorithms,
algorithms on graphs, and Gaussian elimination, but also discusses
elementary data structures, basic graph theory, and numerical
questions. In addition, it provides an introduction to programming
and demonstrates in detail how to implement algorithms in C++. This
textbook is suitable for students who are new to the subject and
covers a basic mathematical lecture course, complementing
traditional courses on analysis and linear algebra. Both authors
have given this "Algorithmic Mathematics" course at the University
of Bonn several times in recent years.
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