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hougardy stefan; vygen jens - algorithmic mathematics

Algorithmic Mathematics

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 10/2016
Edizione: 1st ed. 2016





Trama

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.





Sommario

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




Autore

Stefan Hougardy is professor of discrete mathematics at the University of Bonn. His research interests include combinatorial optimization and chip design.

Jens Vygen is professor of discrete mathematics at the University of Bonn. His research interests include combinatorial optimization and chip design.











Altre Informazioni

ISBN:

9783319395579

Condizione: Nuovo
Dimensioni: 235 x 155 mm Ø 3967 gr
Formato: Copertina rigida
Illustration Notes:XIII, 163 p. 41 illus., 40 illus. in color.
Pagine Arabe: 163
Pagine Romane: xiii
Traduttore: von Randow, Rabe


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