Discrete Mathematical Structures A Simplified Approach
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Discrete Mathematical Structures A Simplified Approach
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Author : Jayant Ganguly
language : en
Publisher:
Release Date : 2008-01-01
Discrete Mathematical Structures A Simplified Approach written by Jayant Ganguly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with categories.
This book is an abridge version of the original text - A treatise on Discrete Mathematical Structure by the same author basically to suit the student fraternity. The text is designed to build a foundation for a mathematical thinking at the basic level and the approach is so chosen that it develops a progression from the basic mathematical concepts by high school algebra to the more sophisticated concepts in a step-by-step manner. It is designed to have a friendly readable format to suit all types of learners. Features Developed by an applied mathematician. Comprehensive but simple in discussion. Fortified with plentiful examples. Step-by-step and structure development. Exercise problems supported by hints and answers. Contents Set theory Elementary concepts of Probability Fundamentals of Logics Properties of Integers Mathematical Induction Recursive Definitions Relations Functions Groups Introduction to Coding Theory Rings Modular Arthematic
Discrete Mathematics Simplified
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Author : Arvin Anthony S Araneta
language : en
Publisher: Independently Published
Release Date : 2021-04
Discrete Mathematics Simplified written by Arvin Anthony S Araneta and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04 with categories.
This book illustrate the fundamental principles associated with discrete mathematics. This book also highlights the simplified approach in solving discrete mathematical problems.
Discrete Mathematical Algorithm And Data Structures
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Author : Sanjib Sinha
language : en
Publisher:
Release Date : 2020-05-28
Discrete Mathematical Algorithm And Data Structures written by Sanjib Sinha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-28 with categories.
Readers will learn discrete mathematical abstracts as well as its implementation in algorithm and data structures shown in various programming languages, such as C, C++, PHP, Java, C#, Python and Dart. This book combines two major components of Mathematics and Computer Science under one roof. Without the core conceptions and tools derived from discrete mathematics, one cannot understand the abstract or the general idea involving algorithm and data structures in Computer Science. The objects of data structures are basically objects of discrete mathematics. This book tries to bridge the gap between two major components of Mathematics and Computer Science.In any computer science course, studying discrete mathematics is essential, although they are taught separately, except in a few cases. Yet, a comprehensive book, combining these two major components, is hard to find out; not only that, it is almost impossible to understand one without the help of other.Hope, this book will fill the gap. Readers will learn discrete mathematical abstracts as well as its implementation in algorithm and data structures shown in various programming language, such as C++, Java, C#, Python and Dart.1. Introduction to the Discourse Is Discrete Mathematics enough to study Computer Science? A short Introduction to Discrete Mathematics What is Discrete Mathematics What is the relationship between Discrete Mathematics and Computer Science Introducing necessary conceptions 2. Introduction to Programming Language and Boolean Algebra Logic, Mathematics, and Programming Language Introduction to Boolean Algebra 3. De Morgan's Laws on Boolean Algebra, Logical Expression, and Algorithm Logical Expression Short Circuit Evaluation Syntax, Semantics and Conditional Execution Why we need Control Constructs Discrete Mathematical Notations and Algorithm 4. Data Structures in different Programming languages Mean, Median and Mode Array, the First Step to Data Structure Let us understand some Array features Set Theory, Probability and Array Skewed Mean, Maximized Median Complex Array Algorithm 5. Data Structures: Abstractions and Implementation How objects work with each other More Algorithm and Time Complexity Introducing Data Structures How Calculus and Linear Algebra are Related to this Discourse 6. Data Structures in Detail Frequently Asked Questions about Data Structures Abstract Data Type (ADT) Linear Data Structures Modeling of a Structure ArrayList to overcome limitations of Array ArrayList or LinkedList, which is faster? Collection Framework in programming languages Stack and Queue in Java Deque, a high-performance Abstract Data Type 7. Algorithm, Data Structure, Collection Framework and Standard Template Library (STL) Introducing Algorithm Library Different types of Algorithms Binary Tree and Data Structure Collection Framework in Java Discrete Mathematical Abstractions and Implementation through Java Collection Comparator, Comparable and Iterator Standard Template Library in C++ 8. Time Complexity Order of n, or O(n) Big O Notation 9. Set, Symmetric Difference and Propositional Logic Why Set is important in Data Structures How Symmetric Difference and Propositional Logic combine 10. Combinatorics and Counting, Permutation and Combinations Permutation and Combination What Next
A Treatise On Discrete Mathematical Structures
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Author : Jayant Ganguly
language : en
Publisher:
Release Date : 2008-01-01
A Treatise On Discrete Mathematical Structures written by Jayant Ganguly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with categories.
A Treatise on Discrete Mathematical Structures has been designed to build a foundation of the type of mathematical thinking that is required to be built at the basic level. The approach chosen is comprehensive while maintaining an easy to follow progression from the basic mathematical concepts covered by high school algebra to the more sophisticated concepts. The rigorous treatment of theory is augmented by numerous examples (SP : Solved Problem). This is then reinforced by exercises (EP : Exercise Problem) at the end of each chapter. Further, for the exercise problems whose serial number is in bold face letter, a hint or solution is provided in the corresponding answer section. Although this treatise aims at the learners of computer science, it can very well be used by anyone who requires an understanding of discrete mathematical concepts. Features The presentation style of each chapter resembles that as done in a classroom. The book is intended for anybody interested in the subject. Prerequisite requirement is mostly high school mathematics. Each chapter begins with an outline of the topics covered in the book. Contains a large number of examples with steps over-simplified. Each chapter ends with a chapter summary under the heading RECAP. A large number of practice problems are included with sufficient hints. Many new results from recently published papers are incorporated. A number of exhaustive appendices are included for those interested. A problem bank is included containing problems from Mathematical Tripods examination. The book is user friendly and Diffi cult situations are illustrated with diagrams. Some interesting non mathematical but related topics are discussed in brief. Contents Set Theory Relations Functions Mathematical Induction Recursive Definitions probability and Counting Elementary Concepts Fundamentals of Logic Groups coding Theory- An Introduction Elementary Number Theory Rings Graph Theory Basic Formulas Matrices and Determinants and Some Results Series and their Summing Techniques-An Introduction Stable Graphs-A Note Problem Bank List of Symbols.
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 Mathematical Structures
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Author : B. V. Senthil Kumar
language : en
Publisher: CRC Press
Release Date : 2019-07-08
Discrete Mathematical Structures written by B. V. Senthil Kumar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-08 with Computers categories.
This book contains fundamental concepts on discrete mathematical structures in an easy to understand style so that the reader can grasp the contents and explanation easily. The concepts of discrete mathematical structures have application to computer science, engineering and information technology including in coding techniques, switching circuits, pointers and linked allocation, error corrections, as well as in data networking, Chemistry, Biology and many other scientific areas. The book is for undergraduate and graduate levels learners and educators associated with various courses and progammes in Mathematics, Computer Science, Engineering and Information Technology. The book should serve as a text and reference guide to many undergraduate and graduate programmes offered by many institutions including colleges and universities. Readers will find solved examples and end of chapter exercises to enhance reader comprehension. Features Offers comprehensive coverage of basic ideas of Logic, Mathematical Induction, Graph Theory, Algebraic Structures and Lattices and Boolean Algebra Provides end of chapter solved examples and practice problems Delivers materials on valid arguments and rules of inference with illustrations Focuses on algebraic structures to enable the reader to work with discrete structures
Discrete Mathematical Structures
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Author : G. Shanker Rao
language : en
Publisher: New Age International
Release Date : 2007-12-31
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 2007-12-31 with Mathematical ability categories.
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
A Course In Discrete Mathematical Structures
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Author : Vermani Lekh Rej
language : en
Publisher: World Scientific
Release Date : 2012-01-13
A Course In Discrete Mathematical Structures written by Vermani Lekh Rej and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-13 with Mathematics categories.
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
Discrete Mathematical Structures 1 E
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Author : U.S. Gupta
language : en
Publisher: Pearson Education India
Release Date : 2014
Discrete Mathematical Structures 1 E written by U.S. Gupta and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
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.
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.