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Algorithmic Mathematics
Buch von Stefan Hougardy (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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.

Zusammenfassung

Textbook covering basic mathematical lecture course

Allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation

Provides an introduction to programming and demonstrates in detail how to implement algorithms in C++

Suitable for students who are new to the subject

Includes supplementary material: [...]

Inhaltsverzeichnis
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
Details
Erscheinungsjahr: 2016
Fachbereich: Grundlagen
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xiii
163 S.
1 s/w Illustr.
40 farbige Illustr.
163 p. 41 illus.
40 illus. in color.
ISBN-13: 9783319395579
ISBN-10: 3319395572
Sprache: Englisch
Herstellernummer: 978-3-319-39557-9
Einband: Gebunden
Autor: Hougardy, Stefan
Vygen, Jens
Übersetzung: Randow, Rabe Von
Auflage: 1st edition 2016
Hersteller: Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 16 mm
Von/Mit: Stefan Hougardy (u. a.)
Erscheinungsdatum: 24.10.2016
Gewicht: 0,442 kg
Artikel-ID: 107591092
Über den Autor

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.

Zusammenfassung

Textbook covering basic mathematical lecture course

Allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation

Provides an introduction to programming and demonstrates in detail how to implement algorithms in C++

Suitable for students who are new to the subject

Includes supplementary material: [...]

Inhaltsverzeichnis
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
Details
Erscheinungsjahr: 2016
Fachbereich: Grundlagen
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xiii
163 S.
1 s/w Illustr.
40 farbige Illustr.
163 p. 41 illus.
40 illus. in color.
ISBN-13: 9783319395579
ISBN-10: 3319395572
Sprache: Englisch
Herstellernummer: 978-3-319-39557-9
Einband: Gebunden
Autor: Hougardy, Stefan
Vygen, Jens
Übersetzung: Randow, Rabe Von
Auflage: 1st edition 2016
Hersteller: Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 16 mm
Von/Mit: Stefan Hougardy (u. a.)
Erscheinungsdatum: 24.10.2016
Gewicht: 0,442 kg
Artikel-ID: 107591092
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