Mathematics Of Discrete Structures For Computer Science
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Mathematics Of Discrete Structures For Computer Science
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Author : Gordon J. Pace
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-13
Mathematics Of Discrete Structures For Computer Science written by Gordon J. Pace and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-13 with Computers categories.
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.
Discrete Mathematics For Computer Science
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Author : Jon Pierre Fortney
language : en
Publisher: CRC Press
Release Date : 2020-12-23
Discrete Mathematics For Computer Science written by Jon Pierre Fortney and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-23 with Mathematics categories.
Discrete Mathematics for Computer Science: An Example-Based Introduction is intended for a first- or second-year discrete mathematics course for computer science majors. It covers many important mathematical topics essential for future computer science majors, such as algorithms, number representations, logic, set theory, Boolean algebra, functions, combinatorics, algorithmic complexity, graphs, and trees. Features Designed to be especially useful for courses at the community-college level Ideal as a first- or second-year textbook for computer science majors, or as a general introduction to discrete mathematics Written to be accessible to those with a limited mathematics background, and to aid with the transition to abstract thinking Filled with over 200 worked examples, boxed for easy reference, and over 200 practice problems with answers Contains approximately 40 simple algorithms to aid students in becoming proficient with algorithm control structures and pseudocode Includes an appendix on basic circuit design which provides a real-world motivational example for computer science majors by drawing on multiple topics covered in the book to design a circuit that adds two eight-digit binary numbers Jon Pierre Fortney graduated from the University of Pennsylvania in 1996 with a BA in Mathematics and Actuarial Science and a BSE in Chemical Engineering. Prior to returning to graduate school, he worked as both an environmental engineer and as an actuarial analyst. He graduated from Arizona State University in 2008 with a PhD in Mathematics, specializing in Geometric Mechanics. Since 2012, he has worked at Zayed University in Dubai. This is his second mathematics textbook.
Applied Discrete Structures For Computer Science
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Author : Alan Doerr
language : en
Publisher:
Release Date : 1989
Applied Discrete Structures For Computer Science written by Alan Doerr and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Computer science categories.
Discrete Mathematical Structures For Computer Science
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Author : Bernard Kolman
language : en
Publisher: Prentice Hall
Release Date : 1987
Discrete Mathematical Structures For Computer Science written by Bernard Kolman and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Computer science categories.
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.
Fundamentals Of Discrete Math For Computer Science
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Author : Tom Jenkyns
language : en
Publisher: Springer
Release Date : 2018-05-03
Fundamentals Of Discrete Math For Computer Science written by Tom Jenkyns and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-03 with Computers categories.
This clearly written textbook presents an accessible introduction to discrete mathematics for computer science students, offering the reader an enjoyable and stimulating path to improve their programming competence. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Its motivational and interactive style provokes a conversation with the reader through a questioning commentary, and supplies detailed walkthroughs of several algorithms. This updated and enhanced new edition also includes new material on directed graphs, and on drawing and coloring graphs, in addition to more than 100 new exercises (with solutions to selected exercises). Topics and features: assumes no prior mathematical knowledge, and discusses concepts in programming as and when they are needed; designed for both classroom use and self-study, presenting modular and self-contained chapters that follow ACM curriculum recommendations; describes mathematical processes in an algorithmic manner, often supported by a walkthrough demonstrating how the algorithm performs the desired task; includes an extensive set of exercises throughout the text, together with numerous examples, and shaded boxes highlighting key concepts; selects examples that demonstrate a practical use for the concept in question. Students embarking on the start of their studies of computer science will find this book to be an easy-to-understand and fun-to-read primer, ideal for use in a mathematics course taken concurrently with their first programming course.
Discrete Mathematics For Computer Science
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Author : Gary Haggard
language : en
Publisher: Cengage Learning
Release Date : 2006
Discrete Mathematics For Computer Science written by Gary Haggard and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computers categories.
Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career.
Discrete Mathematical Structures
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Author : G Shanker Rao
language : en
Publisher: New Age International
Release Date : 2002
Discrete Mathematical Structures written by G Shanker Rao and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computer science categories.
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.
Discrete Structures Of Computer Science
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Author : Leon S Levy
language : en
Publisher: New Age International
Release Date : 2003-01-01
Discrete Structures Of Computer Science written by Leon S Levy and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with categories.
Each Chapter Of The Book Deals With Mathematical Modelling Through One Or More Specified Techniques. These Include Mathematical Modelling Through Algebra, Geometry, Calculus, Ordinary And Partial Differential Equations, Integral Equations Etc. Each Chapter Contains Mathematical Models From Physical, Biological, Social, Management Sciences And Engineering And Technology And Illustrate Unit In Diversity Of Mathematical Sciences. The Book Contains Plenty Of Exercises In Mathematical Modelling And Is Aimed To Give A Panoramic View Of Applications Of Modelling In All Fields Of Knowledge. The Book Presumes Only The Knowledge Of Undergraduate Mathematics And Can Be Used As A Textbook At Senior Undergraduate Or Post-Graduate Level For A One Or Two Semester Course For Students Of Mathematics, Statistics, Physical, Social And Biological Sciences And Engineering. It Can Also Be Useful For All Users Of Mathematics And For All Mathematical Modellers.Stochastic Processes In Demography And Applications Suddhendu Biswas Department Of Mathematical Statistics University Of Delhi.The Book Attempts To Fulfill A Long Felt Gap In The Research And Pedagogy Of Mathematical Demography And Other Related Topics As Survival Analysis By Focussing Intensively On A Wide Range Of Traditional As Well As New Inputs Using A Modern Stochastic Process And Renewal Theory Oriented Approach. Special Topics As Martingales Theory. Cox'S Regression Model. Parametric And Nonparametric Techniques In Survival Theory Together With A Full Chapter On The Adjustment Techniques For The Deficiencies Of Vital Statistics In India Have Been Appended For The First Time In A Book Of This Kind. The Book Is Useful To Postgraduate Students Taking One Or Two Semester Course With Mathematical Demography Or Applied Stochastic Processes With Orientation In Population Studies, Biostatistics Or Biometry.
Introduction To Discrete Structures For Computer Science And Engineering
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Author : Franco P. Preparata
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1973
Introduction To Discrete Structures For Computer Science And Engineering written by Franco P. Preparata and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Sets and binary relations; Graphs. Algebraic structures. Lattices; Boolean algebras. A teste of combinatorics. Algorithms and turing machines. Prerequisite structure and teaching plans.
Discrete Mathematics
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Author : Oscar Levin
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-30
Discrete Mathematics written by Oscar Levin and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-30 with categories.
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.