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22 690 Ft (21 609 Ft + 5% VAT)
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22 690 Ft
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Product details:
- Publisher Springer
- Date of Publication 2 June 2025
- Number of Volumes 1 pieces, Book
- ISBN 9783662705629
- Binding Paperback
- No. of pages266 pages
- Size 235x155 mm
- Language English
- Illustrations 44 Illustrations, black & white; 1 Illustrations, color 700
Categories
Short description:
This textbook presents the topics typically covered in a standard course on discrete structures. It is aimed at students of computer science and mathematics (teaching degree and Bachelor's/Master's) and is designed to accompany lectures, for self-study, and for exam preparation.
Through explanatory introductions to definitions, numerous examples, counterexamples, diagrams, cross-references, and outlooks, the authors manage to present the wide range of topics concisely and comprehensibly.
Numerous exercises facilitate the deepening of the material. Due to its compact presentation of all important discrete and algebraic structures and its extensive index, the book also serves as a reference for mathematicians, computer scientists, and natural scientists.
Contents: From propositional and predicate logic to sets and combinatorics, numbers, relations and mappings, graphs, to the rich spectrum of algebraic structures, and a brief introduction to category theory. Additional chapters include rings and modules as well as matroids.
This book is a translation of the second German edition. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content, so the book may read stylistically differently from a conventional translation.
The Authors
Prof. Dr. Dr. h.c. Ulrich Knauer is a retired professor of mathematics at Carl von Ossietzky University of Oldenburg (Germany).
Dr. habil. Kolja Knauer is an associate professor in discrete mathematics and computer science at Aix-Marseille University (France) and at the University of Barcelona (Spain).
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Long description:
This textbook presents the topics typically covered in a standard course on discrete structures. It is aimed at students of computer science and mathematics (teaching degree and Bachelor's/Master's) and is designed to accompany lectures, for self-study, and for exam preparation.
Through explanatory introductions to definitions, numerous examples, counterexamples, diagrams, cross-references, and outlooks, the authors manage to present the wide range of topics concisely and comprehensibly.
Numerous exercises facilitate the deepening of the material. Due to its compact presentation of all important discrete and algebraic structures and its extensive index, the book also serves as a reference for mathematicians, computer scientists, and natural scientists.
Contents: From propositional and predicate logic to sets and combinatorics, numbers, relations and mappings, graphs, to the rich spectrum of algebraic structures, and a brief introduction to category theory. Additional chapters include rings and modules as well as matroids.
This book is a translation of the second German edition. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content, so the book may read stylistically differently from a conventional translation.
Table of Contents:
1. Fundamentals .- 2. Sets and Counting .- 3. Numbers and their Representations .- 4. Relations.- 5. Mappings.- 6. Graphs.- 7. Groupoid, Semigroup, Group.- 8. From Semirings to Fields.- 9. Act, Vector Space, Extension.- 10 Rings and Modules. 11 Matroids.- 12 Categories.- Literature.- Symbols.- Index.
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