Discrete mathematics : an introduction / edited by Maria Catherine C. Borres.

Contributor(s):

Borres, Maria Catherine C [editor]

Material type: Text

TextLanguage: English Publication details: New York, NY : Arcler Press LLC, c2017.Description: 241 pages : illustrations (some color) ; 26 cmContent type:

text

Media type:

unmediated

Carrier type:

volume

ISBN:

9781680945836 (hardback)

Subject(s):

Discrete mathematics

LOC classification:

QA297.4 D63 2017

Online resources:

Click here to view the table of contents

Contents:

Mathematical logic -- Set theory -- Combinatorics -- Graph theory -- Probability theory and distribution -- Abstract algebra: concepts and applications -- Discrete geometry -- Game theory.

Summary: "The world of mathematics can be divided roughly into two realms: the continuous and the discrete. Continuous mathematics studies concepts that are infinite in scope, where one object can blend smoothly into the next. The real-numbers, system lies at the core of continuous mathematics and – just like the watch – between any two real numbers, there is an infinity of real numbers. Continuous mathematics provides excellent models and tools for analyzing real-world phenomena that change smoothly over time, including the motion of planets around the sun or the flow of blood through the body. Discrete mathematics provide excellent models and tools for analyzing real-word phenomena that change abruptly and that lie clearly in one state or another. Discrete mathematics is the tool of choice in a host of applications, from computers to telephone call routing and from personnel assignments to genetics. Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values. The term “discrete mathematics” dealing with objects that can assume only distinct, separated values. The term “discrete mathematics” is therefore used in contrast with “continuous mathematics”, which is the branch of mathematics dealing with object that can vary smoothly. Whereas discrete objects can often be characterized by integers, continuous objects require real numbers. It is increasingly being applied in the practical fields of mathematics and computer science. It is a very good tool for improving reasoning and problem-solving capabilities. The study of how discrete objects combine with one another and the probabilities of various outcomes is known as combinatorics. Other fields of mathematics that are considered t be part of discrete mathematics include graph theory and the theory of computation. Topics in number theory such as congruences and recurrence relations are also considered part of discrete mathematics. The study of topics in discrete mathematics is the mathematical language of computer science, and as such, its importance has increased dramatically in recent decades."--Back cover

List(s) this item appears in: Print Books 2022

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Holdings ( 1 )
Title notes ( 3 )

Holdings
Item type	Current library	Collection	Call number	Materials specified	Status	Notes	Date due	Barcode
Books	Ladislao N. Diwa Memorial Library Reserve Section	Non-fiction	RUS QA297.4 D63 2017 (Browse shelf(Opens below))		Room use only	78149		00079095

Mathematical logic -- Set theory -- Combinatorics -- Graph theory -- Probability theory and distribution -- Abstract algebra: concepts and applications -- Discrete geometry -- Game theory.

"The world of mathematics can be divided roughly into two realms: the continuous and the discrete. Continuous mathematics studies concepts that are infinite in scope, where one object can blend smoothly into the next. The real-numbers, system lies at the core of continuous mathematics and – just like the watch – between any two real numbers, there is an infinity of real numbers. Continuous mathematics provides excellent models and tools for analyzing real-world phenomena that change smoothly over time, including the motion of planets around the sun or the flow of blood through the body. Discrete mathematics provide excellent models and tools for analyzing real-word phenomena that change abruptly and that lie clearly in one state or another. Discrete mathematics is the tool of choice in a host of applications, from computers to telephone call routing and from personnel assignments to genetics. Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values. The term “discrete mathematics” dealing with objects that can assume only distinct, separated values. The term “discrete mathematics” is therefore used in contrast with “continuous mathematics”, which is the branch of mathematics dealing with object that can vary smoothly. Whereas discrete objects can often be characterized by integers, continuous objects require real numbers. It is increasingly being applied in the practical fields of mathematics and computer science. It is a very good tool for improving reasoning and problem-solving capabilities. The study of how discrete objects combine with one another and the probabilities of various outcomes is known as combinatorics. Other fields of mathematics that are considered t be part of discrete mathematics include graph theory and the theory of computation. Topics in number theory such as congruences and recurrence relations are also considered part of discrete mathematics. The study of topics in discrete mathematics is the mathematical language of computer science, and as such, its importance has increased dramatically in recent decades."--Back cover

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