Mathematical Foundation Of Computer Science

Author : Y. N. Singh
Publisher : New Age International
Page : 24 pages
File Size : 50,8 Mb
Release : 2005
Category : Mathematics
ISBN : 9788122416671

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Mathematical Foundation of Computer Science by Y. N. Singh Pdf

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 : Peter A. Fejer,Dan A. Simovici
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461230861

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Mathematical Foundations of Computer Science by Peter A. Fejer,Dan A. Simovici Pdf

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 : Ronald L. Graham,Donald E. Knuth,Oren Patashnik
Publisher : Addison-Wesley Professional
Page : 811 pages
File Size : 48,9 Mb
Release : 1994-02-28
Category : Computers
ISBN : 9780134389981

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Concrete Mathematics by Ronald L. Graham,Donald E. Knuth,Oren Patashnik Pdf

This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

Author : Bhavanari Satyanarayana,T.V. Pradeep Kumar,Shak Mohiddin Shaw
Publisher : CRC Press
Page : 268 pages
File Size : 42,8 Mb
Release : 2019-08-29
Category : Mathematics
ISBN : 9781000702712

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Mathematical Foundations of Computer Science by Bhavanari Satyanarayana,T.V. Pradeep Kumar,Shak Mohiddin Shaw Pdf

Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka

Author : G. Shanker Rao
Publisher : I. K. International Pvt Ltd
Page : 450 pages
File Size : 53,5 Mb
Release : 2006
Category : Computer science
ISBN : 9788188237494

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Mathematical Foundations of Computer Science by G. Shanker Rao Pdf

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 : J. Rajendra Prasad,T. Rama Rao,A. Madana Mohan Rao
Publisher : Laxmi Publications
Page : 448 pages
File Size : 46,6 Mb
Release : 2009
Category : Computer science
ISBN : 8131805638

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Mathematical Foundation of Computer Science by J. Rajendra Prasad,T. Rama Rao,A. Madana Mohan Rao Pdf

Author : BATHUL, SHAHNAZ
Publisher : PHI Learning Pvt. Ltd.
Page : 480 pages
File Size : 46,5 Mb
Release : 2015-10-31
Category : Science
ISBN : 9788120351295

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MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE, Second Edition by BATHUL, SHAHNAZ Pdf

This book, in its Second Edition, 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 - Elementary set theory, 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 Key Features Includes a large number of worked-out problems for sound understanding of the concepts. Offers chapter-end exercises to test students’ comprehension of theory. Gives a quiz section at the end of each chapter to help students prepare for the competitive examinations. Incorporates short questions asked in universities’ examinations.

Author : Eric Lehman,F. Thomson Leighton,Albert R. Meyer
Publisher : Unknown
Page : 988 pages
File Size : 40,9 Mb
Release : 2017-03-08
Category : Business & Economics
ISBN : 9888407066

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Mathematics for Computer Science by Eric Lehman,F. Thomson Leighton,Albert R. Meyer Pdf

This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Author : John Vince
Publisher : Springer
Page : 334 pages
File Size : 45,9 Mb
Release : 2015-07-27
Category : Computers
ISBN : 9783319214375

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Foundation Mathematics for Computer Science by John Vince Pdf

John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.

Author : Srinivasan Keshav
Publisher : Addison-Wesley
Page : 496 pages
File Size : 50,6 Mb
Release : 2012-04-20
Category : Computers
ISBN : 9780132826136

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Mathematical Foundations of Computer Networking by Srinivasan Keshav Pdf

“To design future networks that are worthy of society’s trust, we must put the ‘discipline’ of computer networking on a much stronger foundation. This book rises above the considerable minutiae of today’s networking technologies to emphasize the long-standing mathematical underpinnings of the field.” –Professor Jennifer Rexford, Department of Computer Science, Princeton University “This book is exactly the one I have been waiting for the last couple of years. Recently, I decided most students were already very familiar with the way the net works but were not being taught the fundamentals–the math. This book contains the knowledge for people who will create and understand future communications systems." –Professor Jon Crowcroft, The Computer Laboratory, University of Cambridge The Essential Mathematical Principles Required to Design, Implement, or Evaluate Advanced Computer Networks Students, researchers, and professionals in computer networking require a firm conceptual understanding of its foundations. Mathematical Foundations of Computer Networking provides an intuitive yet rigorous introduction to these essential mathematical principles and techniques. Assuming a basic grasp of calculus, this book offers sufficient detail to serve as the only reference many readers will need. Each concept is described in four ways: intuitively; using appropriate mathematical notation; with a numerical example carefully chosen for its relevance to networking; and with a numerical exercise for the reader. The first part of the text presents basic concepts, and the second part introduces four theories in a progression that has been designed to gradually deepen readers’ understanding. Within each part, chapters are as self-contained as possible. The first part covers probability; statistics; linear algebra; optimization; and signals, systems, and transforms. Topics range from Bayesian networks to hypothesis testing, and eigenvalue computation to Fourier transforms. These preliminary chapters establish a basis for the four theories covered in the second part of the book: queueing theory, game theory, control theory, and information theory. The second part also demonstrates how mathematical concepts can be applied to issues such as contention for limited resources, and the optimization of network responsiveness, stability, and throughput.

Author : Harry Lewis,Rachel Zax
Publisher : Princeton University Press
Page : 408 pages
File Size : 42,6 Mb
Release : 2019-03-19
Category : Computers
ISBN : 9780691179292

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Essential Discrete Mathematics for Computer Science by Harry Lewis,Rachel Zax Pdf

Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises.

Author : M. Vasanthi
Publisher : Alpha Science International, Limited
Page : 0 pages
File Size : 42,9 Mb
Release : 2013
Category : Computers
ISBN : 1842657410

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Mathematical Foundation for Computer Science by M. Vasanthi Pdf

This textbook covers mathematical logic, normal forms, graphs, trees and relations. The emphasis in the book is on the presentation of fundamentals and theoretical concepts in an intelligible and easy to understand manner. Every topic is illustrated with a number of problems of increasing complexities which will help the beginner understand the fundamentals involved and enable them to solve various problems.

Author : Pushpalatha Ramesh
Publisher : Partridge Publishing
Page : 0 pages
File Size : 53,6 Mb
Release : 2014-09-09
Category : Computers
ISBN : 1482835940

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Mathematical Foundations of Computer Science by Pushpalatha Ramesh Pdf

This Text Book is designed to meet the requirements of the under graduate students of B.Sc (Computer Science), B.C.A., B.Sc (CT) and post graduate students of M.C.A., M.Sc (Computer Science) and Computer Technologies. This text is for beginners as well as experts who wish to learn this subject. The language adopted is simple and the subject-matter self explanatory in nature. A variety of problems has been included in each chapter to enable the reader to gain further insight and clarity of the application of the techniques. It includes numerous examples that illustrate the basic concept and the exercises, to enhance the value of the book. Key Features This Text Book covers Matrices, Set Theory, Boolean Algebra, Mathematical Logic, Graph Theory, Grammars And Languages. Numerous illustrative problems are provided to help the reader understand the subject. To suit the needs of the B.C.A., M.C.A. and M.Sc curriculum of various universities. All major steps in the problems are presented in a step-by-step format.

Author : Alfred V. Aho,Jeffrey D. Ullman
Publisher : W. H. Freeman
Page : 786 pages
File Size : 51,5 Mb
Release : 1994-10-15
Category : Computers
ISBN : 0716782847

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Foundations of Computer Science by Alfred V. Aho,Jeffrey D. Ullman Pdf

Author : Tom Jenkyns,Ben Stephenson
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 47,6 Mb
Release : 2012-10-16
Category : Computers
ISBN : 9781447140696

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Fundamentals of Discrete Math for Computer Science by Tom Jenkyns,Ben Stephenson Pdf

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.