000			03102nam a22002897a 4500
003			phtghnu
005			20250429094844.0
007			ta
008			250429b2023 nyu||||| |||| 00| 0 eng d
020			_a9781984679918 _qpaperback
040			_beng _cHNU _erda
082			_223 _3GC _a511.1 T41 _b2023
110			_a3G E-learning LLC, _eauthor.
245			_aDiscrete mathematics / _cAuthored and edited by 3G E-learning LLC, USA
264			_aNew York, NY, USA : _b3G E-learning LLC, _c2023.
300			_axiv, 352 pages : _billustrations ; _c26 cm.
504			_aIncludes bibliographical references and index.
505			_aPropositional Logic Introduction to Proofs Counting Advanced Counting Techniques Algebraic Structure Graphs Automata Theory Isomorphisms and Factor Groups
520			_aDiscrete 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-together with calculus and abstract algebra-is one of the core components of mathematics at the undergraduate level. This edition is comprehensively revised and new topics area 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.
521			_aCoED _bAll programs
521			_aCOECS _bAll programs
546			_aIn English
650			_aDiscrete mathematics.
710			_a3G E-learning LLC, _eeditor.
942			_2ddc _cBK _h500-599
999			_c138718 _d138718