東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

Discrete and algebraic structures = a concise introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Discrete and algebraic structures/ by Kolja Knauer, Ulrich Knauer.
Reminder of title:	a concise introduction /
Author:	Knauer, Kolja.
other author:	Knauer, Ulrich.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2025.,
Description:	viii, 266 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Discrete mathematics. -
Online resource:	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 ;v. 18..

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:

3448845
Discrete mathematics.

LC Class. No.: QA297.4

Dewey Class. No.: 511.1

Discrete and algebraic structures = a concise introduction /
LDR:03072nmm a2200349 a 4500 001 2410443
003 DE-He213
005 20250525130213.0
006 m d
007 cr nn 008maaau
008 260204s2025 gw s 0 eng d
020 $a 9783662705636 $q (electronic bk.)
020 $a 9783662705629 $q (paper)
024 7 $a 10.1007/978-3-662-70563-6 $2 doi
035 $a 978-3-662-70563-6
040 $a GP $c GP
041 1 $a eng $h ger
050 4 $a QA297.4
072 7 $a PBF $2 bicssc
072 7 $a MAT002000 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 511.1 $2 23
090 $a QA297.4 $b .K67 2025
100 1 $a Knauer, Kolja. $3 3784327
240 1 0 $a Diskrete und algebraische Strukturen. $l English
245 1 0 $a Discrete and algebraic structures $h [electronic resource] : $b a concise introduction / $c by Kolja Knauer, Ulrich Knauer.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2025.
300 $a viii, 266 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematics study resources, $x 2731-3832 ; $v v. 18
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.
520 $a 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).
650 0 $a Discrete mathematics. $3 3448845
650 0 $a Ordered algebraic structures. $3 713880
650 1 4 $a Algebra. $3 516203
700 1 $a Knauer, Ulrich. $3 3784328
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Mathematics study resources ; $v v. 18. $3 3784329
856 4 0 $u https://doi.org/10.1007/978-3-662-70563-6
950 $a Mathematics and Statistics (SpringerNature-11649)