Overview
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: sn.pub/extras
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
“The book under review contains the lectures the authors have taught at the University of Bonn for beginner students. It includes many worked-out examples, detailed explanations, as well as references for further study. … Alongside the mathematical themes, the authors have included an introduction to the programming language C++.” (Costică Moroşanu, zbMATH 1357.68002, 2017)
“This is a brief introduction to some simple numerical and computer algorithms, including an analysis of their timing. It’s aimed at students with a good high-school math background, but has no specific prerequisites, and has enough material for a one-semester course. … a good choice for a very early introduction to these topics.” (Allen Stenger, MAA Reviews, maa.org, December, 2016)
Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: Algorithmic Mathematics
Authors: Stefan Hougardy, Jens Vygen
Translated by: Rabe von Randow
DOI: https://doi.org/10.1007/978-3-319-39558-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-39557-9Published: 24 October 2016
eBook ISBN: 978-3-319-39558-6Published: 14 October 2016
Edition Number: 1
Number of Pages: XIII, 163
Number of Illustrations: 1 b/w illustrations, 40 illustrations in colour
Topics: Algorithms