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Discrete and algebraic structures = a concise introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Discrete and algebraic structures/ by Kolja Knauer, Ulrich Knauer.
其他題名:	a concise introduction /
作者:	Knauer, Kolja.
其他作者:	Knauer, Ulrich.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2025.,
面頁冊數:	viii, 266 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Discrete mathematics. -
電子資源:	https://doi.org/10.1007/978-3-662-70563-6
ISBN:	9783662705636

Discrete and algebraic structures = a concise introduction /
Knauer, Kolja.

Discrete and algebraic structuresa concise introduction /[electronic resource] :by Kolja Knauer, Ulrich Knauer. - Berlin, Heidelberg :Springer Berlin Heidelberg :2025. - viii, 266 p. :ill., digital ;24 cm. - Mathematics study resources,v. 182731-3832 ;. - Mathematics study resources ;4..

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.

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).

ISBN: 9783662705636

Standard No.: 10.1007/978-3-662-70563-6doiSubjects--Topical Terms:

1254302
Discrete mathematics.

LC Class. No.: QA297.4

Dewey Class. No.: 511.1

Discrete and algebraic structures = a concise introduction /
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505 0 $a 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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