Discrete mathematics.
Discrete mathematics.
- 3rd edition.
- xiv, 352 pages : illustrations ; 26 cm.
Includes bibliographical references and index.
Propositional logic -- Introduction to proofs -- Counting -- Advanced counting techniques -- Algebraic structure -- Graphs -- Automata theory -- Isomorphisms and factor groups.
"Discrete mathematics is focused on structures that take on a discrete value, which is often infinite. Just as the real-number system is essential in continuous mathematics, integers are key in discrete mathematics. Discrete mathematics offers excellent modelling tools for analyzing real-world phenomena that change states, and it is a vital tool with a broad range of applications. Discrete mathematics is a branch of mathematics concerned with counting, sets, functions, relations, and logic. Discrete math concepts and notation are useful for studying and describing objects and problem in all fields of computing, including algorithm design, programming language theory, cryptography, automated theorem provering, and software engineering. On the contrary, computer implementation is extremely important for applying mathematical concepts to real world applications, such as in Operations Research. A student must have a firm understanding of how to work with discrete structures to understand discrete mathematics. These discrete structures are abstract mathematical structures used to represent discrete objects and relationships between these objects, such as sets, relations, permutations and graphs. Many important discrete structures are built using sets, which are collections of objects. This book is designed for beginners and professionals both. Discrete math-to-gether with calculus and abstract algebra-is one of the core components of mathematics at the under graduate level.
This edition is comprehensively revised and new topics are added with new chapters. This edition contains eight chapters and deals with objects that can consider only distinct, separated values. The book includes the fundamental concepts of sets, relations and functions, mathematical logic, group theory, counting theory, probability, mathematical induction, and recurrence relations, graph theory, trees and Boolean algebra." -- Book cover
9781984679918
Discrete mathematics.
Mathematics.
Computer science --Mathematics.
QA39.3 / .D573 2023
518.25 / D631
Includes bibliographical references and index.
Propositional logic -- Introduction to proofs -- Counting -- Advanced counting techniques -- Algebraic structure -- Graphs -- Automata theory -- Isomorphisms and factor groups.
"Discrete mathematics is focused on structures that take on a discrete value, which is often infinite. Just as the real-number system is essential in continuous mathematics, integers are key in discrete mathematics. Discrete mathematics offers excellent modelling tools for analyzing real-world phenomena that change states, and it is a vital tool with a broad range of applications. Discrete mathematics is a branch of mathematics concerned with counting, sets, functions, relations, and logic. Discrete math concepts and notation are useful for studying and describing objects and problem in all fields of computing, including algorithm design, programming language theory, cryptography, automated theorem provering, and software engineering. On the contrary, computer implementation is extremely important for applying mathematical concepts to real world applications, such as in Operations Research. A student must have a firm understanding of how to work with discrete structures to understand discrete mathematics. These discrete structures are abstract mathematical structures used to represent discrete objects and relationships between these objects, such as sets, relations, permutations and graphs. Many important discrete structures are built using sets, which are collections of objects. This book is designed for beginners and professionals both. Discrete math-to-gether with calculus and abstract algebra-is one of the core components of mathematics at the under graduate level.
This edition is comprehensively revised and new topics are added with new chapters. This edition contains eight chapters and deals with objects that can consider only distinct, separated values. The book includes the fundamental concepts of sets, relations and functions, mathematical logic, group theory, counting theory, probability, mathematical induction, and recurrence relations, graph theory, trees and Boolean algebra." -- Book cover
9781984679918
Discrete mathematics.
Mathematics.
Computer science --Mathematics.
QA39.3 / .D573 2023
518.25 / D631