Discrete Structures
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Applied Discrete Structures
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Author : Ken Levasseur
language : en
Publisher: Lulu.com
Release Date : 2012-02-25
Applied Discrete Structures written by Ken Levasseur and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-25 with Computers categories.
''In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics. To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs. Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete. The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words. An Instructor's Guide is available to any instructor who uses the text. It includes: Chapter-by-chapter comments on subtopics that emphasize the pitfalls to avoid; Suggested coverage times; Detailed solutions to most even-numbered exercises; Sample quizzes, exams, and final exams. This textbook has been used in classes at Casper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).''--
Discrete Structures And Their Interactions
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Author : Jason I. Brown
language : en
Publisher: CRC Press
Release Date : 2013-06-24
Discrete Structures And Their Interactions written by Jason I. Brown and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-24 with Computers categories.
Discover the Connections between Different Structures and Fields Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology. The text introduces a number of discrete structures, such as hypergraphs, finite topologies, preorders, simplicial complexes, and order ideals of monomials, that most graduate students in combinatorics, and even some researchers in the field, seldom experience. The author explains how these structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures. Intended for graduate and upper-level undergraduate students in mathematics who have taken an initial course in discrete mathematics or graph theory, this book shows how discrete structures offer new insights into the classical fields of mathematics. It illustrates how to use discrete structures to represent the salient features and discover the underlying combinatorial principles of seemingly unrelated areas of mathematics.
Introductory Discrete Mathematics
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Author : V. K. Balakrishnan
language : en
Publisher: Courier Corporation
Release Date : 1996-01-01
Introductory Discrete Mathematics written by V. K. Balakrishnan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Mathematics categories.
This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. Geared toward mathematics and computer science majors, it emphasizes applications, offering more than 200 exercises to help students test their grasp of the material and providing answers to selected exercises. 1991 edition.
Discrete Structures
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Author : Satinder Bal Gupta
language : en
Publisher: Laxmi Publications
Release Date : 2010-05
Discrete Structures written by Satinder Bal Gupta and has been published by Laxmi Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05 with Algebra categories.
This book has been written according to the latest syllabi for B. Tech. & M.C.A. courses of Punjab Technical University and other technical universities of India. The previous years' university questions papers have been solved systematically and logically in each chapter. It is intended to help students better understand the concepts and ideas of discrete structures.
Mathematics Of Discrete Structures For Computer Science
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Author : Gordon J. Pace
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-09
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 2012-07-09 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
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Author : Rowan Garnier
language : en
Publisher: Taylor & Francis
Release Date : 2009-11-09
Discrete Mathematics written by Rowan Garnier and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-09 with Computers categories.
Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow prog
Discrete Structures
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Author : Harriet Fell
language : en
Publisher: Cognella Academic Publishing
Release Date : 2015-12-31
Discrete Structures written by Harriet Fell and has been published by Cognella Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-31 with Computer science categories.
Discrete Structures introduces readers to the mathematical structures and methods that form the foundation of computer science and features multiple techniques that readers will turn to regularly throughout their careers in computer and information sciences. Over the course of five modules, students learn specific skills including binary and modular arithmetic, set notation, methods of counting, evaluating sums, and solving recurrences. They study the basics of probability, proof by induction, growth of functions, and analysis techniques. The book also discusses general problem-solving techniques that are widely applicable to real problems. Each module includes motivation applications, technique, theory, and further opportunities for application. Informed by extensive experience teaching in computer science programs, Discrete Structures has been developed specifically for first-year students in those programs. The material is also suitable for courses in computer engineering, as well as those for students who are transferring from other disciplines and just beginning their computer science or engineering education. Harriet Fell holds a Ph.D. in mathematics from the Massachusetts Institute of Technology, and is a professor emerita of computer science at Northeastern University. Dr. Fell is a double patent holder who has received grants from the National Institute of Health, the National Science Foundation, and the U.S. Department of Education. Javed A. Aslam holds a Ph.D. in computer science from the Massachusetts Institute of Technology and is a professor of computer science at Northeastern University and the associate dean of faculty in the College of Computer and Information Science. Dr. Aslam's research interests include information retrieval, machine learning, and the design and analysis of algorithms.
Discrete Structures With Contemporary Applications
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Author : Alexander Stanoyevitch
language : en
Publisher:
Release Date : 2024-10-14
Discrete Structures With Contemporary Applications written by Alexander Stanoyevitch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-14 with Computers categories.
Reflecting many of the recent advances and trends in this area, this classroom-tested text covers the core topics in discrete structures as outlined by the ACM and explores an assortment of novel applications, including simulations, genetic algorithms, network flows, probabilistic primality tests, public key cryptography, and coding theory. It p
Discrete Structures
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Author : Andreas Klappenecker
language : en
Publisher: Springer Nature
Release Date : 2025-02-18
Discrete Structures written by Andreas Klappenecker and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-18 with Mathematics categories.
The aim of this text is to introduce discrete mathematics to beginning students of mathematics or computer science. It does this by bringing some coherency into the seemingly incongruent subjects that compose discrete math, such as logic, set theory, algebra, and combinatorics. It emphasizes their theoretical foundations and illustrates proofs along the way. The book prepares readers for the analysis of algorithms by discussing asymptotic analysis and a discrete calculus for sums. The book also deduces combinatorial methods from the foundations that are laid out. Unlike other texts on this subject, there is a greater emphasis on foundational material that leads to a better understanding. To further assist the reader in grasping and practicing concepts, roughly 690 exercises are provided at various levels of difficulty. Readers are encouraged to study the examples in the text and solve as many of the exercises as possible. The text is intended for freshman or sophomore undergraduate students in mathematics, computer science, or similar majors. The assumed background is precalculus. The chapter dependency chart included is designed to help students, independent readers, and instructors follow a systematic path for learning and teaching the material, with the option to explore material in later chapters.
Discrete Computational Structures
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Author : Robert R. Korfhage
language : en
Publisher:
Release Date : 1984
Discrete Computational Structures written by Robert R. Korfhage and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Computers categories.