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Algorithmic Mathematics / / by Stefan Hougardy, Jens Vygen



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Autore: Hougardy Stefan Visualizza persona
Titolo: Algorithmic Mathematics / / by Stefan Hougardy, Jens Vygen Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (XIII, 163 p. 41 illus., 40 illus. in color.)
Disciplina: 518.1
Soggetto topico: Algorithms
Persona (resp. second.): VygenJens
Nota di contenuto: 1 Introduction -- 2 Representations of the Integers -- 3 Computing with Integers -- 4 Approximate Representations of the Real Numbers -- 5 Computing with Errors -- 6 Graphs -- 7 Simple Graph Algorithms -- 8 Sorting Algorithms -- 9 Optimal Trees and Paths -- 10 Matchings and Network Flows -- 11 Gaussian Elimination -- Bibliography -- Index.
Sommario/riassunto: 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.
Titolo autorizzato: Algorithmic Mathematics  Visualizza cluster
ISBN: 3-319-39558-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254083803321
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