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Algorithmic mathematics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Algorithmic mathematics/ by Stefan Hougardy, Jens Vygen.
Author:	Hougardy, Stefan.
other author:	Vygen, Jens.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xiii, 163 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Algorithms. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-39558-6
ISBN:	9783319395586

Algorithmic mathematics
Hougardy, Stefan.

Algorithmic mathematics[electronic resource] /by Stefan Hougardy, Jens Vygen. - Cham :Springer International Publishing :2016. - xiii, 163 p. :ill. (some col.), digital ;24 cm.

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.

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.

ISBN: 9783319395586

Standard No.: 10.1007/978-3-319-39558-6doiSubjects--Topical Terms:

527865
Algorithms.

LC Class. No.: QA9.58

Dewey Class. No.: 518.1

Algorithmic mathematics
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245 1 0 $a Algorithmic mathematics $h [electronic resource] / $c by Stefan Hougardy, Jens Vygen.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a xiii, 163 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Algorithms. $3 527865
650 1 4 $a Mathematics. $3 527692
700 1 $a Vygen, Jens. $3 677379
710 2 $a SpringerLink (Online service) $3 593884
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-39558-6
950 $a Mathematics and Statistics (Springer-11649)