Mathematical Foundations of Computer Science 1993
Author | : |
Publisher | : |
Total Pages | : 781 |
Release | : 1993 |
Genre | : |
ISBN | : |
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Author | : |
Publisher | : |
Total Pages | : 781 |
Release | : 1993 |
Genre | : |
ISBN | : |
Author | : Peter A. Fejer |
Publisher | : Springer Science & Business Media |
Total Pages | : 433 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461230861 |
Mathematical Foundations of Computer Science, Volume I is the first of two volumes presenting topics from mathematics (mostly discrete mathematics) which have proven relevant and useful to computer science. This volume treats basic topics, mostly of a set-theoretical nature (sets, functions and relations, partially ordered sets, induction, enumerability, and diagonalization) and illustrates the usefulness of mathematical ideas by presenting applications to computer science. Readers will find useful applications in algorithms, databases, semantics of programming languages, formal languages, theory of computation, and program verification. The material is treated in a straightforward, systematic, and rigorous manner. The volume is organized by mathematical area, making the material easily accessible to the upper-undergraduate students in mathematics as well as in computer science and each chapter contains a large number of exercises. The volume can be used as a textbook, but it will also be useful to researchers and professionals who want a thorough presentation of the mathematical tools they need in a single source. In addition, the book can be used effectively as supplementary reading material in computer science courses, particularly those courses which involve the semantics of programming languages, formal languages and automata, and logic programming.
Author | : Y. N. Singh |
Publisher | : New Age International |
Total Pages | : 24 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 8122416675 |
The Interesting Feature Of This Book Is Its Organization And Structure. That Consists Of Systematizing Of The Definitions, Methods, And Results That Something Resembling A Theory. Simplicity, Clarity, And Precision Of Mathematical Language Makes Theoretical Topics More Appealing To The Readers Who Are Of Mathematical Or Non-Mathematical Background. For Quick References And Immediate Attentions3⁄4Concepts And Definitions, Methods And Theorems, And Key Notes Are Presented Through Highlighted Points From Beginning To End. Whenever, Necessary And Probable A Visual Approach Of Presentation Is Used. The Amalgamation Of Text And Figures Make Mathematical Rigors Easier To Understand. Each Chapter Begins With The Detailed Contents, Which Are Discussed Inside The Chapter And Conclude With A Summary Of The Material Covered In The Chapter. Summary Provides A Brief Overview Of All The Topics Covered In The Chapter. To Demonstrate The Principles Better, The Applicability Of The Concepts Discussed In Each Topic Are Illustrated By Several Examples Followed By The Practice Sets Or Exercises.
Author | : Ashwin Lall |
Publisher | : |
Total Pages | : 0 |
Release | : 2024-11-05 |
Genre | : Computers |
ISBN | : 9781032467894 |
Mathematical Foundations of Computer Science introduces students to the discrete mathematics needed later in their Computer Science coursework with theory of computation topics interleaved throughout. Students learn about mathematical concepts just in time to apply them to theory of computation ideas. For instance, sets motivate the study of finite automata, direct proof is practised using closure properties, induction is used to prove the language of an automaton, and contradiction is used to apply the pumping lemma. The main content of the book starts with primitive data types such as sets and strings and ends with showing the undecidability of the halting problem. There are also appendix chapters on combinatorics, probability, elementary number theory, asymptotic notation, graphs, loop invariants, and recurrences. The content is laid out concisely with a heavy reliance on worked examples, of which there are over 250 in the book. Each chapter has exercises, totalling 550. This class-tested textbook is targeted to intermediate Computer Science majors, and it is primarily intended for a discrete math / proofs course in a Computer Science major. It is also suitable for introductory theory of computation courses. The authors hope this book breeds curiosity into the subject and is designed to satisfy this to some extent by reading this book. The book will prepare readers for deeper study of game theory applications in many fields of study.
Author | : G. Shanker Rao |
Publisher | : I. K. International Pvt Ltd |
Total Pages | : 450 |
Release | : 2006 |
Genre | : Computer science |
ISBN | : 8188237493 |
Mathematical Foundations of Computer Science explains the fundamental concepts in mathematics. It can be used by the students in computer science as an introduction to the underlying ideas of mathematics for computer science. It explains topics like mathematical logic, predicates, relations, functions, combinatorics, algebraic structures and graph theory. It would be useful for the students of B.Tech, BCA, & MCA. Key Features: " Comprehensive discussion on logic, function, algebraic systems, recurrence relations and graph theory " Wide variety of exercises at all levels " Several worked out examples
Author | : Symposium on Mathematical Foundations of Computer Science |
Publisher | : |
Total Pages | : 781 |
Release | : 1993 |
Genre | : Computer science -- Mathematics -- Congresses |
ISBN | : |
Author | : J. Rajendra Prasad |
Publisher | : Laxmi Publications |
Total Pages | : 448 |
Release | : 2009 |
Genre | : Computer science |
ISBN | : 9788131805633 |
Author | : Andrzej M. Borzyszkowski |
Publisher | : Lecture Notes in Computer Science |
Total Pages | : 804 |
Release | : 1993-08-18 |
Genre | : Computers |
ISBN | : |
This volume contains the proceedings of the 18th International Symposium on Mathematical Foundations of Computer Science, MFCS '93, held in Gdansk, Poland, August-September 1993. The MFCS symposia, organized annually in Poland and the former Czechoslovakia since 1972, have a long and well-established tradition. Over the years they have served as a meeting ground for specialists from all branches of theoretical computer science, in particular - algorithms and complexity, automata theory and theory of languages, - concurrent, distributed and real-time systems, - the theory of functional, logic and object-oriented programming, - lambda calculus and type theory, - semantics and logics of programs, and others. The volume contains 12 invitedlectures and 56 contributed papers selected from 133 submissions.
Author | : Andrzej M. Borzyszkowski |
Publisher | : Springer |
Total Pages | : 786 |
Release | : 2014-03-12 |
Genre | : Mathematics |
ISBN | : 9783662162651 |
This volume contains the proceedings of the 18th International Symposium on Mathematical Foundations of Computer Science, MFCS '93, held in Gdansk, Poland, August-September 1993. The MFCS symposia, organized annually in Poland and the former Czechoslovakia since 1972, have a long and well-established tradition. Over the years they have served as a meeting ground for specialists from all branches of theoretical computer science, in particular - algorithms and complexity, automata theory and theory of languages, - concurrent, distributed and real-time systems, - the theory of functional, logic and object-oriented programming, - lambda calculus and type theory, - semantics and logics of programs, and others. The volume contains 12 invitedlectures and 56 contributed papers selected from 133 submissions.
Author | : SHAHNAZ BATHUL |
Publisher | : PHI Learning Pvt. Ltd. |
Total Pages | : 372 |
Release | : 2010-07-01 |
Genre | : Computer science |
ISBN | : 8120341570 |
This book provides the basic concepts and applications of discrete mathematics and graph theory. The book is aimed at undergraduate students of Computer Science and Engineering, and Information Technology. It is also suitable for undergraduate and postgraduate students of Computer Science, Mathematics and Computer Applications. The book exposes the students to fundamental knowledge in : Mathematical logic, tautology and normal forms Predicate logic, rules of inference and validity of arguments Elementary set theory, Venn diagrams, functions and their relations Algebraic structure, binary operation, group theory and homomorphism Theory of permutations and combinations, binomial and multinomial theorems Recurrence relations and methods of solving them Graph theory, spanning tree, Eulerian and Hamiltonian circuits and isomorphism