03727nam 22005415 450 991100745810332120260128100538.09783662705636(electronic bk.)978366270562910.1007/978-3-662-70563-6(MiAaPQ)EBC32131007(Au-PeEL)EBL32131007(CKB)38929096400041(DE-He213)978-3-662-70563-6(EXLCZ)993892909640004120250525d2025 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDiscrete and Algebraic Structures A Concise Introduction /by Kolja Knauer, Ulrich Knauer1st ed. 2025.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2025.1 online resource (528 pages)Mathematics Study Resources,2731-3832 ;18Print version: Knauer, Kolja Discrete and Algebraic Structures Berlin, Heidelberg : Springer Berlin / Heidelberg,c2025 9783662705629 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). .Mathematics Study Resources,2731-3832 ;18AlgebraAlgebraMatemàtica discretathubEstructures algebraiques ordenadesthubLlibres electrònicsthubAlgebra.Algebra.Matemàtica discretaEstructures algebraiques ordenades512Knauer Kolja1823258Knauer Ulrich1823259MiAaPQMiAaPQMiAaPQ9911007458103321Discrete and Algebraic Structures4389831UNINA