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Author: Gordon J. Pace Publisher: Springer Science & Business Media ISBN: 3642298400 Category : Computers Languages : en Pages : 296
Book Description
Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness, robustness and dependability. This book covers the foundational mathematics necessary for courses in computer science. The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators and then proves that they satisfy various properties. After justifying his underlying approach the author offers detailed chapters covering propositional logic, predicate calculus, sets, relations, discrete structures, structured types, numbers, and reasoning about programs. The book contains chapter and section summaries, detailed proofs and many end-of-section exercises -- key to the learning process. The book is suitable for undergraduate and graduate students, and although the treatment focuses on areas with frequent applications in computer science, the book is also suitable for students of mathematics and engineering.
Author: Gordon J. Pace Publisher: Springer Science & Business Media ISBN: 3642298400 Category : Computers Languages : en Pages : 296
Book Description
Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness, robustness and dependability. This book covers the foundational mathematics necessary for courses in computer science. The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators and then proves that they satisfy various properties. After justifying his underlying approach the author offers detailed chapters covering propositional logic, predicate calculus, sets, relations, discrete structures, structured types, numbers, and reasoning about programs. The book contains chapter and section summaries, detailed proofs and many end-of-section exercises -- key to the learning process. The book is suitable for undergraduate and graduate students, and although the treatment focuses on areas with frequent applications in computer science, the book is also suitable for students of mathematics and engineering.
Author: G. Shanker Rao Publisher: New Age International ISBN: 8122426697 Category : Mathematical ability Languages : en Pages : 43
Book Description
About the Book: This text can be used by the students of mathematics and computer science as an introduction to the fundamentals of discrete mathematics. The book is designed in accordance with the syllabi of B.E., B. Tech., MCA and M.Sc. (Computer Science) prescribed in most of the universities of India. Each chapter is supplemented with a number of worked example as well as a number of problems to be solved by the students. This would help in a better understanding of the subject. Contents: Mathematical Logic Set Theory Relations Functions and Recurrence Relations Boolean Algebra Logic Gates Elementary Combinatorics Graph Theory Algebraic Structures Finite State Machines
Author: U.S. Gupta Publisher: Pearson Education India ISBN: 9332537224 Category : Languages : en Pages : 576
Book Description
Discrete Mathematical Structures provides comprehensive, reasonably rigorous and simple explanation of the concepts with the help of numerous applications from computer science and engineering. Every chapter is equipped with a good number of solved examples that elucidate the definitions and theorems discussed. Chapter-end exercises are graded, with the easier ones in the beginning and then the complex ones, to help students for easy solving.
Author: Bernard Kolman Publisher: Prentice Hall ISBN: Category : Computer science Languages : en Pages : 488
Book Description
This text has been designed as a complete introduction to discrete mathematics, primarily for computer science majors in either a one or two semester course. The topics addressed are of genuine use in computer science, and are presented in a logically coherent fashion. The material has been organized and interrelated to minimize the mass of definitions and the abstraction of some of the theory. For example, relations and directed graphs are treated as two aspects of the same mathematical idea. Whenever possible each new idea uses previously encountered material, and then developed in such a way that it simplifies the more complex ideas that follow.
Author: Vermani Lekh Rej Publisher: World Scientific ISBN: 1911298623 Category : Mathematics Languages : en Pages : 640
Book Description
This book provides a broad introduction to some of the most fascinating and beautiful areas of discrete mathematical structures. It starts with a chapter on sets and goes on to provide examples in logic, applications of the principle of inclusion and exclusion and finally the pigeonhole principal. Computational techniques including the principle of mathematical introduction are provided, as well as a study on elementary properties of graphs, trees and lattices. Some basic results on groups, rings, fields and vector spaces are also given, the treatment of which is intentionally simple since such results are fundamental as a foundation for students of discrete mathematics. In addition, some results on solutions of systems of linear equations are discussed./a
Author: Bernard Kolman Publisher: ISBN: Category : Computer science Languages : en Pages : 1238
Book Description
This is the only discrete math text that has a thread holding the various topics together. One of the shortest books on the market. New to this edition: stronger coverage of logic, graphs, and trees. Also includes special student projects.
Author: G Shanker Rao Publisher: New Age International ISBN: 9788122414240 Category : Computer science Languages : en Pages : 470
Book Description
This Text Can Be Used By The Students Of Mathematics Or Computer Science As An Introduction To The Fundamentals Of Discrete Mathematics. The Book Is Designed In Accordance With The Syllabi Of Be, B. Tech, Bca, Mca, And M.Sc. (Computer Science) Prescribed In Most Of The Universities.This Book Offers The Following Topics:Mathematical Logic, Sets, Relations, Recurrence Relations, Functions, Combinations, Boolean Algebra, Logic Gates, Graph Theory, Algebraic Structures, And Finite State Machines. Each Chapter Is Supplemented With A Number Of Worked Examples As Well As A Number Of Problems To Be Solved By The Students. This Would Help In A Better Understanding Of The Subject.
Author: Bernard Kolman Publisher: ISBN: Category : Computer science Languages : en Pages : 536
Book Description
For one/two-term, freshman/sophomore-level courses in Discrete Mathematics. More than any other book in the field, this text ties together discrete topics with a theme. Written at an appropriate level of rigor with a strong pedagogical focus it limits depth of coverage and areas covered to topics of genuine use in computer science. An emphasis on both basic theory and applications provides students with a firm foundation for more advanced courses.
Author: Gordon J. Pace
Author: Gordon J. Pace
Author: G. Shanker Rao
Author: U.S. Gupta
Author: Bernard Kolman
Author: Vermani Lekh Rej
Author: Bernard Kolman
Author: G Shanker Rao
Author: Kolman
Author: Jean-Paul Tremblay
Author: Bernard Kolman