Algorithmic Mathematics

Authors: Hougardy, Stefan, Vygen, Jens

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  • 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
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eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-319-39558-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-39557-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

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.

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)


Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-319-39558-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-39557-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Algorithmic Mathematics
Authors
Translated by
von Randow, R.
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-39558-6
DOI
10.1007/978-3-319-39558-6
Hardcover ISBN
978-3-319-39557-9
Edition Number
1
Number of Pages
XIII, 163
Number of Illustrations
1 b/w illustrations, 40 illustrations in colour
Topics