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MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE

MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE PDF Author: SHAHNAZ BATHUL
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120341570
Category :
Languages : en
Pages : 372

Book Description
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

MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE

MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE PDF Author: SHAHNAZ BATHUL
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120341570
Category :
Languages : en
Pages : 372

Book Description
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

Fundamentals of Discrete Math for Computer Science

Fundamentals of Discrete Math for Computer Science PDF Author: Tom Jenkyns
Publisher: Springer Science & Business Media
ISBN: 1447140699
Category : Computers
Languages : en
Pages : 416

Book Description
This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in mathematics required; ideally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendations; describes mathematical processes in an algorithmic manner; contains examples and exercises throughout the text, and highlights the most important concepts in each section; selects examples that demonstrate a practical use for the concept in question.

Where Mathematics, Computer Science, Linguistics and Biology Meet

Where Mathematics, Computer Science, Linguistics and Biology Meet PDF Author: Carlos Martín-Vide
Publisher: Springer Science & Business Media
ISBN: 9401596344
Category : Mathematics
Languages : en
Pages : 446

Book Description
In the last years, it was observed an increasing interest of computer scientists in the structure of biological molecules and the way how they can be manipulated in vitro in order to define theoretical models of computation based on genetic engineering tools. Along the same lines, a parallel interest is growing regarding the process of evolution of living organisms. Much of the current data for genomes are expressed in the form of maps which are now becoming available and permit the study of the evolution of organisms at the scale of genome for the first time. On the other hand, there is an active trend nowadays throughout the field of computational biology toward abstracted, hierarchical views of biological sequences, which is very much in the spirit of computational linguistics. In the last decades, results and methods in the field of formal language theory that might be applied to the description of biological sequences were pointed out.

A User-friendly Introduction to Discrete Mathematics for Computer Science

A User-friendly Introduction to Discrete Mathematics for Computer Science PDF Author: Willem Labuschagne
Publisher: Unisa Press
ISBN: 9780869818107
Category : Computer science
Languages : en
Pages : 320

Book Description
What mathematical skills do you need to understand computers and the problems they can solve? This book introduces the basic ideas of set theory, logic and combinatorics. Intended for those who work alone and whose experiences of mathematics have in the past perhaps been somewhat intimidating, the book adopts an informal tone and chats to the reader as a well-informed friend might. In addition to its treatment of mathematical topics, it draws the attention of the reader to general patterns of thought, some of which constitute useful problem-solving skills that may be used in other domains.

Grammars and Automata for String Processing

Grammars and Automata for String Processing PDF Author: Carlos Martin-Vide
Publisher: CRC Press
ISBN: 9780203009642
Category : Mathematics
Languages : en
Pages : 436

Book Description
The conventional wisdom was that biology influenced mathematics and computer science. But a new approach has taken hold: that of transferring methods and tools from computer science to biology. The reverse trend is evident in Grammars and Automata for String Processing: From Mathematics and Computer Science to Biology and Back. The contributors address the structural (syntactical) view of the domain. Mathematical linguistics and computer science can offer various tools for modeling complex macromolecules and for analyzing and simulating biological issues. This collection is valuable for students and researchers in biology, computer science, and applied mathematics.

Concrete Mathematics

Concrete Mathematics PDF Author: Ronald L. Graham
Publisher: Addison-Wesley Professional
ISBN:
Category : Computers
Languages : en
Pages : 690

Book Description
This book, updated and improved, introduces the mathematics that support advanced computer programming and the analysis of algorithms. The book's primary aim is to provide a solid and relevant base of mathematical skills. It is an indispensable text and reference for computer scientists and serious programmers in virtually every discipline.

Structured Matrices in Mathematics, Computer Science, and Engineering II

Structured Matrices in Mathematics, Computer Science, and Engineering II PDF Author: Vadim Olshevsky
Publisher: American Mathematical Soc.
ISBN: 0821820923
Category : Matrices
Languages : en
Pages : 362

Book Description
"The collection of the contributions to these volumes offers a flavor of the plethora of different approaches to attack structured matrix problems. The reader will find that the theory of structured matrices is positioned to bridge diverse applications in the sciences and engineering, deep mathematical theories, as well as computational and numberical issues. The presentation fully illustrates the fact that the technicques of engineers, mathematicisn, and numerical analysts nicely complement each other, and they all contribute to one unified theory of structured matrices"--Back cover.

Mathematical Foundations of Computer Science

Mathematical Foundations of Computer Science PDF Author: Peter A. Fejer
Publisher: Springer Science & Business Media
ISBN: 1461230861
Category : Mathematics
Languages : en
Pages : 425

Book Description
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.

Fuzzy Logic Applications in Computer Science and Mathematics

Fuzzy Logic Applications in Computer Science and Mathematics PDF Author: Rahul Kar
Publisher: John Wiley & Sons
ISBN: 1394175116
Category : Mathematics
Languages : en
Pages : 265

Book Description
FUZZY LOGIC APPLICATIONS IN COMPUTER SCIENCE AND MATHEMATICSTICS The prime objective of developing this book is to provide meticulous details about the basic and advanced concepts of fuzzy logic and its all-around applications to different fields of mathematics and engineering. The basic steps of fuzzy inference systems starting from the core foundation of the fuzzy concepts are presented in this book. The fuzzy theory is a mathematical concept and, at the same time, it is applied to many versatile engineering fields and research domains related to computer science. The fuzzy system offers some knowledge about uncertainty and is also related to the theory of probability. A fuzzy logic-based model acts as the classifier for many different types of data belonging to several classes. Covered in this book are topics such as the fundamental concepts of mathematics, fuzzy logic concepts, probability and possibility theories, and evolutionary computing to some extent. The combined fields of neural network and fuzzy domain (known as the neuro-fuzzy system) are explained and elaborated. Each chapter has been produced in a very lucid manner, with grading from simple to complex to accommodate the anticipated different audiences. The application-oriented approach is the unique feature of this book. Audience This book will be read and used by a broad audience including applied mathematicians, computer scientists, and industry engineers.

Representation of Multiple-Valued Logic Functions

Representation of Multiple-Valued Logic Functions PDF Author: Radomir S. Stanković
Publisher: Morgan & Claypool Publishers
ISBN: 160845942X
Category : Technology & Engineering
Languages : en
Pages : 154

Book Description
Compared to binary switching functions, multiple-valued functions offer more compact reprensentations of the information content of signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical methods for their representation in a way that will make their application in practice feasible. Representation of Multiple-Valued Logic Functions is aimed at providing an accessible introduction to these mathematical techniques that are necessary for application of related implementation methods and tools. The book presents in a uniform way different representations of multiple-valued logic functions, including functional expressions, spectral representations on finite Abelian groups, and their graphical counterparts, various related decision diagrams. Three valued, or ternary functions, are traditionally used as the first extension from the binary case. A good feature of theirs is that the ratio between the number of bits and the number of different values that can be encoded with the specified number of bits is favorable for ternary functions. Four-valued functions, also called quaternary functions, are particularly attractive, since in practical realization within today prevalent binary circuits environment, they may be easily coded by binary values and realized with two-stable state circuits. At the same time, there is much considerable advent in design of four valued logic circuits, than for other p-valued functions. Therefore, the book is written in a hands-on approach, such that after introducing the general and necessarily abstract background theory, the presentation is based on a large number of examples for ternary and quarternary functions that should provide an intuitive understanding of various representation methods and interconnections among them.