Algorithmic Mathematics 1st edition by Stefan Hougardy Jens Vygen 3319395580 9783319395586

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ISBN-10 ‏ : ‎3319395580 

ISBN-13 ‏ : ‎ 9783319395586

Author:   Stefan Hougardy, Jens Vygen 

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.

 

Algorithmic Mathematics 1st Table of contents:

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

 

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