Discrete Mathematics: A Combinatorial Approach
Buch in deiner Nähe kaufen
Beschreibung
This undergraduate text is designed for a single-semester introductory course in discrete mathematics. It is aimed at students of mathematics and computer science, as well as problem-solving enthusiasts or anyone with some familiarity with proofs seeking a concise introduction to the subject. The primary goal is to acquaint readers with key structures and ideas in combinatorial and discrete mathematics that will support further study in mathematics and its applications.
Requiring minimal prerequisites, the book seeks to build appreciation while offering a clear foundation for developing combinatorial reasoning. Special attention is given to the basics of enumeration and generating functions. Background concepts are presented accessibly, and examples appear early and frequently. When suitable, multiple proofs are provided for the same result, offering insight into mathematical thinking and the interconnectedness of ideas. Each chapter concludes with a selection of exercises spanning a wide range of difficulty, and a collection of hints and solutions is included at the end of the book.
This undergraduate text is designed for a single-semester introductory course in discrete mathematics. It is aimed at students of mathematics and computer science, as well as problem-solving enthusiasts or anyone with some familiarity with proofs seeking a concise introduction to the subject. The primary goal is to acquaint readers with key structures and ideas in combinatorial and discrete mathematics that will support further study in mathematics and its applications.
Requiring minimal prerequisites, the book seeks to build appreciation while offering a clear foundation for developing combinatorial reasoning. Special attention is given to the basics of enumeration and generating functions. Background concepts are presented accessibly, and examples appear early and frequently. When suitable, multiple proofs are provided for the same result, offering insight into mathematical thinking and the interconnectedness of ideas. Each chapter concludes with a selection of exercises spanning a wide range of difficulty, and a collection of hints and solutions is included at the end of the book.
Accessible to a range of undergraduate students and independent learners with a modest level of mathematical maturity Provides an abundance of illustrative examples and exercises of varying difficulty to galvanize understanding of content Some emphasis on the fundamentals of enumeration and generating functions
Autor*in
Christos A. Athanasiadis
Themen in »Discrete Mathematics: A Combinatorial Approach«
discrete probability graph coloring graph theory combinatorial identities discrete mathematics enumerative combinatorics generating functions partial order pigeonhole principle principles of enumeration principle of inclusion-exclusion set partitions equivalence relations Kruskal's algorithm Marriage Theorem