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Author: K. R. CHOWDHARY Publisher: PHI Learning Pvt. Ltd. ISBN: 9788120345065 Category : Mathematics Languages : en Pages : 316
Book Description
This thoroughly revised and updated text, now in its Second Edition, continues to provide the basic concepts of discrete mathematics and its applications at an appropriate level of rigour. The text teaches mathematical logic, discusses how to work with discrete structures, analyzes combinatorial approach to problem-solving and develops an ability to create and understand mathematical models and algorithms essentials for writing computer programs. Every concept introduced in the text is first explained from the point of view of mathematics, followed by its relation to Computer Science. In addition, it offers excellent coverage of graph theory, mathematical reasoning, foundational material on set theory, relations and their computer representation, supported by a number of Worked-out Examples and Exercises to reinforce the students’ skill. Primarily intended for undergraduate students of Computer Science and Engineering, and Information Technology, this text will be also useful for undergraduate and postgraduate students of Computer Applications. NEW TO THIS EDITION : Contains many new sections such as Russell’s paradox, injection, surjection, bijection, Schroeder-Bernstein theorem, graph and map coloring, and Bipartite graph. Includes more questions in chapter-end Exercises.
Author: K. R. CHOWDHARY Publisher: PHI Learning Pvt. Ltd. ISBN: 9788120345065 Category : Mathematics Languages : en Pages : 316
Book Description
This thoroughly revised and updated text, now in its Second Edition, continues to provide the basic concepts of discrete mathematics and its applications at an appropriate level of rigour. The text teaches mathematical logic, discusses how to work with discrete structures, analyzes combinatorial approach to problem-solving and develops an ability to create and understand mathematical models and algorithms essentials for writing computer programs. Every concept introduced in the text is first explained from the point of view of mathematics, followed by its relation to Computer Science. In addition, it offers excellent coverage of graph theory, mathematical reasoning, foundational material on set theory, relations and their computer representation, supported by a number of Worked-out Examples and Exercises to reinforce the students’ skill. Primarily intended for undergraduate students of Computer Science and Engineering, and Information Technology, this text will be also useful for undergraduate and postgraduate students of Computer Applications. NEW TO THIS EDITION : Contains many new sections such as Russell’s paradox, injection, surjection, bijection, Schroeder-Bernstein theorem, graph and map coloring, and Bipartite graph. Includes more questions in chapter-end Exercises.
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: K. R. CHOWDHARY Publisher: PHI Learning Pvt. Ltd. ISBN: 812035074X Category : Mathematics Languages : en Pages : 360
Book Description
This updated text, now in its Third Edition, continues to provide the basic concepts of discrete mathematics and its applications at an appropriate level of rigour. The text teaches mathematical logic, discusses how to work with discrete structures, analyzes combinatorial approach to problem-solving and develops an ability to create and understand mathematical models and algorithms essentials for writing computer programs. Every concept introduced in the text is first explained from the point of view of mathematics, followed by its relation to Computer Science. In addition, it offers excellent coverage of graph theory, mathematical reasoning, foundational material on set theory, relations and their computer representation, supported by a number of worked-out examples and exercises to reinforce the students’ skill. Primarily intended for undergraduate students of Computer Science and Engineering, and Information Technology, this text will also be useful for undergraduate and postgraduate students of Computer Applications. New to this Edition Incorporates many new sections and subsections such as recurrence relations with constant coefficients, linear recurrence relations with and without constant coefficients, rules for counting and shorting, Peano axioms, graph connecting, graph scanning algorithm, lexicographic shorting, chains, antichains and order-isomorphism, complemented lattices, isomorphic order sets, cyclic groups, automorphism groups, Abelian groups, group homomorphism, subgroups, permutation groups, cosets, and quotient subgroups. Includes many new worked-out examples, definitions, theorems, exercises, and GATE level MCQs with answers.
Author: Damian M. Lyons Publisher: ISBN: 9781256389217 Category : Computer science Languages : en Pages : 0
Book Description
Normal 0 false false false EN-US X-NONE X-NONE Selecting a mathematics textbook that meets the needs of a diverse student body can be a challenge. Some have too much information for a beginner; some have too little. The authors of Fundamentals of Discrete Structures, frustrated by their search for the perfect text, decided to write their own. The result provides an excellent introduction to discrete mathematics that is both accessible to liberal arts majors satisfying their core mathematics requirements, and also challenging enough to engage math and computer science majors. To engage students who may not be comfortable with traditional mathematics texts, the book uses a light tone when introducing new concepts. While there is an emphasis on computation, it avoids mathematical formalism and formal proofs, thus making it easier for the average student to understand. Unlike other textbooks in this field, Fundamentals of Discrete Structures strikes just the right balance: it illuminates the essentials of discrete mathematics while still providing a comprehensive treatment of the subject matter.
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: Jayant Ganguly Publisher: ISBN: 9788188849222 Category : Languages : en Pages : 873
Book Description
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.
Author: Bernard Kolman Publisher: Prentice Hall ISBN: Category : Computer science Languages : en Pages : 536
Book Description
Combining a careful selection of topics with coverage of theirgenuineapplications in computer science, this book, more than any other in this field, is clearly and concisely written, presenting the basic ideas of discrete mathematical structures in a manner that is understandable.Limiting its scope and depth of topics to those that readers can actually utilize, this book covers first the fundamentals, then follows with logic, counting, relations and digraphs, functions, order relations and structures, trees, graph theory, semigroups and groups, languages and finite-state machines, and groups and coding.With its comprehensive appendices and index, this book can be an excellent reference work for mathematicians and those in the field of computer science.
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: B. V. Senthil Kumar Publisher: CRC Press ISBN: 0429624301 Category : Computers Languages : en Pages : 218
Book Description
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
Author: K. R. CHOWDHARY
Author: K. R. CHOWDHARY
Author: G. Shanker Rao
Author: K. R. CHOWDHARY
Author: Damian M. Lyons
Author: Chowdhary
Author: Bernard Kolman
Author: Jayant Ganguly
Author: Bernard Kolman
Author: Gordon J. Pace
Author: B. V. Senthil Kumar