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Algorithmic mathematics

Hougardy, Stefan.

Algorithmic mathematics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algorithmic mathematicsby 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$q(electronic bk.)

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$q(electronic bk.)

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

184661
Algorithms.

LC Class. No.: QA9.58

Dewey Class. No.: 518.1

Algorithmic mathematics
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100 1 $a Hougardy, Stefan. $3 761584
245 1 0 $a Algorithmic mathematics $h [electronic resource] / $c by Stefan Hougardy, Jens Vygen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
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 184661
650 1 4 $a Mathematics. $3 184409
700 1 $a Vygen, Jens. $3 205726
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-39558-6
950 $a Mathematics and Statistics (Springer-11649)