000			03076nam a2200301 i 4500
003			CSPC
005			20251216110229.0
008			251118s2023 nyua b 001 0 eng d
020			_a9781984679918
040			_cCSPC _aCSPC _beng _erda
050	0	0	_aQA39.3 _b.D573 2023
082	0	4	_a518.25 _bD631
245	0	0	_aDiscrete mathematics.
250			_a3rd edition.
264		1	_aNew York : _b3G E-Learning, _c2023.
300			_axiv, 352 pages : _billustrations ; _c26 cm.
336			_2rdacontent _atext
337			_2rdamedia _aunmediated
338			_2rdacarrier _avolume
504			_aIncludes bibliographical references and index.
505	0		_aPropositional logic -- Introduction to proofs -- Counting -- Advanced counting techniques -- Algebraic structure -- Graphs -- Automata theory -- Isomorphisms and factor groups.
520			_a"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
650		0	_aDiscrete mathematics.
650		0	_aMathematics.
650		0	_aComputer science _xMathematics.
942			_2ddc _n0 _cBK _h518.25 _iD631 _kCIR _m2023
999			_c30870 _d30870