國立虎尾科技大學 |

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.
Description:	XIII, 163 p. 41 illus., 40 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algorithms. -
Online resource:	https://doi.org/10.1007/978-3-319-39558-6
ISBN:	9783319395586

Algorithmic Mathematics
Hougardy, Stefan.

Algorithmic Mathematics[electronic resource] /by Stefan Hougardy, Jens Vygen. - 1st ed. 2016. - XIII, 163 p. 41 illus., 40 illus. in color.online resource.

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.: QA76.9.A43

Dewey Class. No.: 518.1

Algorithmic Mathematics
LDR:02571nam a22003855i 4500 001 973387
003 DE-He213
005 20200705155626.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319395586 $9 978-3-319-39558-6
024 7 $a 10.1007/978-3-319-39558-6 $2 doi
035 $a 978-3-319-39558-6
050 4 $a QA76.9.A43
072 7 $a PBKS $2 bicssc
072 7 $a COM051300 $2 bisacsh
072 7 $a PBKS $2 thema
082 0 4 $a 518.1 $2 23
100 1 $a Hougardy, Stefan. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1114874
245 1 0 $a Algorithmic Mathematics $h [electronic resource] / $c by Stefan Hougardy, Jens Vygen.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XIII, 163 p. 41 illus., 40 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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
700 1 $a Vygen, Jens. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 677379
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319395579
776 0 8 $i Printed edition: $z 9783319395593
856 4 0 $u https://doi.org/10.1007/978-3-319-39558-6
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)