Mathematical Foundations Of Computer Science Second Edition
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Author |
: Ronald L. Graham |
Publisher |
: Addison-Wesley Professional |
Total Pages |
: 811 |
Release |
: 1994-02-28 |
ISBN-10 |
: 9780134389981 |
ISBN-13 |
: 0134389980 |
Rating |
: 4/5 (81 Downloads) |
Synopsis Concrete Mathematics by : Ronald L. Graham
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 |
: Qihai Zhou |
Publisher |
: Springer |
Total Pages |
: 629 |
Release |
: 2011-10-29 |
ISBN-10 |
: 9783642249990 |
ISBN-13 |
: 364224999X |
Rating |
: 4/5 (90 Downloads) |
Synopsis Theoretical and Mathematical Foundations of Computer Science by : Qihai Zhou
This book constitutes the refereed post-proceedings of the Second International Conference on Theoretical and Mathematical Foundations of Computer Science, ICTMF 2011, held in Singapore in May 2011. The conference was held together with the Second International Conference on High Performance Networking, Computing, and Communication systems, ICHCC 2011, which proceedings are published in CCIS 163. The 84 revised selected papers presented were carefully reviewed and selected for inclusion in the book. The topics covered range from computational science, engineering and technology to digital signal processing, and computational biology to game theory, and other related topices.
Author |
: BATHUL, SHAHNAZ |
Publisher |
: PHI Learning Pvt. Ltd. |
Total Pages |
: 481 |
Release |
: 2015-10-31 |
ISBN-10 |
: 9788120351295 |
ISBN-13 |
: 8120351290 |
Rating |
: 4/5 (95 Downloads) |
Synopsis MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE, Second Edition by : BATHUL, SHAHNAZ
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 |
: Peter A. Fejer |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 433 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461230861 |
ISBN-13 |
: 1461230861 |
Rating |
: 4/5 (61 Downloads) |
Synopsis Mathematical Foundations of Computer Science by : Peter A. Fejer
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 |
: Srinivasan Keshav |
Publisher |
: Pearson Education |
Total Pages |
: 496 |
Release |
: 2012 |
ISBN-10 |
: 9780321792105 |
ISBN-13 |
: 0321792106 |
Rating |
: 4/5 (05 Downloads) |
Synopsis Mathematical Foundations of Computer Networking by : Srinivasan Keshav
Mathematical techniques pervade current research in computer networking, yet are not taught to most computer science undergraduates. This self-contained, highly-accessible book bridges the gap, providing the mathematical grounding students and professionals need to successfully design or evaluate networking systems. The only book of its kind, it brings together information previously scattered amongst multiple texts. It first provides crucial background in basic mathematical tools, and then illuminates the specific theories that underlie computer networking. Coverage includes: * Basic probability * Statistics * Linear Algebra * Optimization * Signals, Systems, and Transforms, including Fourier series and transforms, Laplace transforms, DFT, FFT, and Z transforms * Queuing theory * Game Theory * Control theory * Information theory
Author |
: David Liben-Nowell |
Publisher |
: Cambridge University Press |
Total Pages |
: 694 |
Release |
: 2022-08-04 |
ISBN-10 |
: 9781009174749 |
ISBN-13 |
: 1009174746 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Connecting Discrete Mathematics and Computer Science by : David Liben-Nowell
Computer science majors taking a non-programming-based course like discrete mathematics might ask 'Why do I need to learn this?' Written with these students in mind, this text introduces the mathematical foundations of computer science by providing a comprehensive treatment of standard technical topics while simultaneously illustrating some of the broad-ranging applications of that material throughout the field. Chapters on core topics from discrete structures – like logic, proofs, number theory, counting, probability, graphs – are augmented with around 60 'computer science connections' pages introducing their applications: for example, game trees (logic), triangulation of scenes in computer graphics (induction), the Enigma machine (counting), algorithmic bias (relations), differential privacy (probability), and paired kidney transplants (graphs). Pedagogical features include 'Why You Might Care' sections, quick-reference chapter guides and key terms and results summaries, problem-solving and writing tips, 'Taking it Further' asides with more technical details, and around 1700 exercises, 435 worked examples, and 480 figures.
Author |
: Y. N. Singh |
Publisher |
: New Age International |
Total Pages |
: 24 |
Release |
: 2005 |
ISBN-10 |
: 9788122416671 |
ISBN-13 |
: 8122416675 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Mathematical Foundation of Computer Science by : Y. N. Singh
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 |
: Bhavanari Satyanarayana |
Publisher |
: CRC Press |
Total Pages |
: 268 |
Release |
: 2019-08-29 |
ISBN-10 |
: 9781000702712 |
ISBN-13 |
: 1000702715 |
Rating |
: 4/5 (12 Downloads) |
Synopsis Mathematical Foundations of Computer Science by : Bhavanari Satyanarayana
Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka
Author |
: Peter Ružička |
Publisher |
: |
Total Pages |
: 149 |
Release |
: 2002 |
ISBN-10 |
: OCLC:249126714 |
ISBN-13 |
: |
Rating |
: 4/5 (14 Downloads) |
Synopsis Mathematical Foundations of Computer Science by : Peter Ružička
Author |
: Alfred V. Aho |
Publisher |
: W. H. Freeman |
Total Pages |
: 786 |
Release |
: 1994-10-15 |
ISBN-10 |
: 0716782847 |
ISBN-13 |
: 9780716782841 |
Rating |
: 4/5 (47 Downloads) |
Synopsis Foundations of Computer Science by : Alfred V. Aho