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Algorithmic Mathematics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Algorithmic Mathematics/ by Stefan Hougardy, Jens Vygen.
作者:	Hougardy, Stefan.
其他作者:	Vygen, Jens.
面頁冊數:	XIII, 163 p. 41 illus., 40 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Algorithms. -
電子資源:	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
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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.
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