Mathematical Foundations Of Software Engineering

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Mathematical Foundations of Software Engineering

Author : Gerard O'Regan
Publisher : Springer Nature
ISBN 13 : 3031262123
Total Pages : 538 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Mathematical Foundations of Software Engineering by : Gerard O'Regan

Download or read book Mathematical Foundations of Software Engineering written by Gerard O'Regan and published by Springer Nature. This book was released on 2023-05-04 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents an introduction to the mathematical foundations of software engineering. It presents the rich applications of mathematics in areas such as error-correcting codes, cryptography, the safety and security critical fields, the banking and insurance fields, as well as traditional engineering applications. Topics and features: Addresses core mathematics for critical thinking and problem solving Discusses propositional and predicate logic and various proof techniques to demonstrate the correctness of a logical argument. Examines number theory and its applications to cryptography Considers the underlying mathematics of error-correcting codes Discusses graph theory and its applications to modelling networks Reviews tools to support software engineering mathematics, including automated and interactive theorem provers and model checking Discusses financial software engineering, including simple and compound interest, probability and statistics, and operations research Discusses software reliability and dependability and explains formal methods used to derive a program from its specification Discusses calculus, matrices, vectors, complex numbers, and quaternions, as well as applications to graphics and robotics Includes key learning topics, summaries, and review questions in each chapter, together with a useful glossary This practical and easy-to-follow textbook/reference is ideal for computer science students seeking to learn how mathematics can assist them in building high-quality and reliable software on time and on budget. The text also serves as an excellent self-study primer for software engineers, quality professionals, and software managers.

Mathematical Foundations of Computer Networking

Author : Srinivasan Keshav
Publisher : Pearson Education
ISBN 13 : 0321792106
Total Pages : 496 pages
Book Rating : 4.3/5 (217 download)

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Book Synopsis Mathematical Foundations of Computer Networking by : Srinivasan Keshav

Download or read book Mathematical Foundations of Computer Networking written by Srinivasan Keshav and published by Pearson Education. This book was released on 2012 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Foundations of Algebraic Specification and Formal Software Development

Author : Donald Sannella
Publisher : Springer Science & Business Media
ISBN 13 : 3642173365
Total Pages : 584 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Foundations of Algebraic Specification and Formal Software Development by : Donald Sannella

Download or read book Foundations of Algebraic Specification and Formal Software Development written by Donald Sannella and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides foundations for software specification and formal software development from the perspective of work on algebraic specification, concentrating on developing basic concepts and studying their fundamental properties. These foundations are built on a solid mathematical basis, using elements of universal algebra, category theory and logic, and this mathematical toolbox provides a convenient language for precisely formulating the concepts involved in software specification and development. Once formally defined, these notions become subject to mathematical investigation, and this interplay between mathematics and software engineering yields results that are mathematically interesting, conceptually revealing, and practically useful. The theory presented by the authors has its origins in work on algebraic specifications that started in the early 1970s, and their treatment is comprehensive. This book contains five kinds of material: the requisite mathematical foundations; traditional algebraic specifications; elements of the theory of institutions; formal specification and development; and proof methods. While the book is self-contained, mathematical maturity and familiarity with the problems of software engineering is required; and in the examples that directly relate to programming, the authors assume acquaintance with the concepts of functional programming. The book will be of value to researchers and advanced graduate students in the areas of programming and theoretical computer science.

Mathematical Foundations of Software Engineering. Essays in Honour of Tom Maibaum on the Occasion of His 70th Birthday and Retirement

Download Mathematical Foundations of Software Engineering. Essays in Honour of Tom Maibaum on the Occasion of His 70th Birthday and Retirement PDF Online Free

Author : Nazareno Aguirre
Publisher :
ISBN 13 : 9781848903999
Total Pages : 0 pages
Book Rating : 4.9/5 (39 download)

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Book Synopsis Mathematical Foundations of Software Engineering. Essays in Honour of Tom Maibaum on the Occasion of His 70th Birthday and Retirement by : Nazareno Aguirre

Download or read book Mathematical Foundations of Software Engineering. Essays in Honour of Tom Maibaum on the Occasion of His 70th Birthday and Retirement written by Nazareno Aguirre and published by . This book was released on 2022-05-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift is dedicated to Tom Maibaum on the occasion of his 70th birthday and on the occasion of his retirement. The Festschrift is also a follow up to the International Symposium on the Mathematics of Software Engineering organized by the Department of Computing of the University of Rio Cuarto, in February 2019. The Festschrift contains contributions by Tom's former students, colleagues, and friends. These contributions address research questions and problems in the general area of Formal Methods for Software Engineering - an area which Tom has spent most of his academic life working on. There are many reasons for publishing a Festschrift. Tom's academic merits alone would suffice for publishing this one. This Festschrift is also a token of appreciation. We wanted to make use of the opportunity to thank Tom for the impact he has had in the academic careers of many of his colleagues and collaborators, and especially in those of his former students.

Mathematical Foundation of Computer Science

Author : Y. N. Singh
Publisher : New Age International
ISBN 13 : 8122416675
Total Pages : 24 pages
Book Rating : 4.1/5 (224 download)

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Book Synopsis Mathematical Foundation of Computer Science by : Y. N. Singh

Download or read book Mathematical Foundation of Computer Science written by Y. N. Singh and published by New Age International. This book was released on 2005 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Foundations of Software Development. Proceedings of the International Joint Conference on Theory and Practice of Software Development (TAPSOFT), Berlin, March 25-29, 1985

Download Mathematical Foundations of Software Development. Proceedings of the International Joint Conference on Theory and Practice of Software Development (TAPSOFT), Berlin, March 25-29, 1985 PDF Online Free

Author : Hartmut Ehrig
Publisher : Springer
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mathematical Foundations of Software Development. Proceedings of the International Joint Conference on Theory and Practice of Software Development (TAPSOFT), Berlin, March 25-29, 1985 by : Hartmut Ehrig

Download or read book Mathematical Foundations of Software Development. Proceedings of the International Joint Conference on Theory and Practice of Software Development (TAPSOFT), Berlin, March 25-29, 1985 written by Hartmut Ehrig and published by Springer. This book was released on 1985-03 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Software Engineering Foundations

Author : Yingxu Wang
Publisher : Auerbach Publications
ISBN 13 : 9780849319310
Total Pages : 1488 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Software Engineering Foundations by : Yingxu Wang

Download or read book Software Engineering Foundations written by Yingxu Wang and published by Auerbach Publications. This book was released on 2007-08-09 with total page 1488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking book in this field, Software Engineering Foundations: A Software Science Perspective integrates the latest research, methodologies, and their applications into a unified theoretical framework. Based on the author's 30 years of experience, it examines a wide range of underlying theories from philosophy, cognitive informatics, denotational mathematics, system science, organization laws, and engineering economics. The book contains in-depth information, annotated references, real-world problems, heuristics, and research opportunities. Highlighting the inherent limitations of the historical programming-language-centered approach, the author explores an interdisciplinary approach to software engineering. He identifies fundamental cognitive, organizational, and resource constraints and the need for multi-faceted and transdisciplinary theories and empirical knowledge. He then synergizes theories, principles, and best practices of software engineering into a unified framework and delineates overarching, durable, and transdisciplinary theories as well as alternative solutions and open issues for further research. The book develops dozens of Wang's laws for software engineering and outlooks the emergence of software science. The author's rigorous treatment of the theoretical framework and his comprehensive coverage of complicated problems in software engineering lay a solid foundation for software theories and technologies. Comprehensive and written for all levels, the book explains a core set of fundamental principles, laws, and a unified theoretical framework.

Concrete Mathematics

Author : Ronald L. Graham
Publisher : Addison-Wesley Professional
ISBN 13 : 0134389980
Total Pages : 811 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Concrete Mathematics by : Ronald L. Graham

Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Foundations of Computer Science 1986

Author : Jozef Gruska
Publisher : Springer Science & Business Media
ISBN 13 : 9783540167839
Total Pages : 810 pages
Book Rating : 4.1/5 (678 download)

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Book Synopsis Mathematical Foundations of Computer Science 1986 by : Jozef Gruska

Download or read book Mathematical Foundations of Computer Science 1986 written by Jozef Gruska and published by Springer Science & Business Media. This book was released on 1986-08-01 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Foundations of Information Theory

Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
ISBN 13 : 0486604349
Total Pages : 130 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Mathematical Foundations of Information Theory by : Aleksandr I?Akovlevich Khinchin

Download or read book Mathematical Foundations of Information Theory written by Aleksandr I?Akovlevich Khinchin and published by Courier Corporation. This book was released on 1957-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.

A Mathematical Theory of Design: Foundations, Algorithms and Applications

Author : D. Braha
Publisher : Springer Science & Business Media
ISBN 13 : 1475728727
Total Pages : 684 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis A Mathematical Theory of Design: Foundations, Algorithms and Applications by : D. Braha

Download or read book A Mathematical Theory of Design: Foundations, Algorithms and Applications written by D. Braha and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Design Theory (PDT) is a mathematical theory of design. The main goal of PDT is to develop a domain independent core model of the design process. The book focuses the reader's attention on the process by which ideas originate and are developed into workable products. In developing PDT, we have been striving toward what has been expressed by the distinguished scholar Simon (1969): that "the science of design is possible and some day we will be able to talk in terms of well-established theories and practices. " The book is divided into five interrelated parts. The conceptual approach is presented first (Part I); followed by the theoretical foundations of PDT (Part II), and from which the algorithmic and pragmatic implications are deduced (Part III). Finally, detailed case-studies illustrate the theory and the methods of the design process (Part IV), and additional practical considerations are evaluated (Part V). The generic nature of the concepts, theory and methods are validated by examples from a variety of disciplines. FDT explores issues such as: algebraic representation of design artifacts, idealized design process cycle, and computational analysis and measurement of design process complexity and quality. FDT's axioms convey the assumptions of the theory about the nature of artifacts, and potential modifications of the artifacts in achieving desired goals or functionality. By being able to state these axioms explicitly, it is possible to derive theorems and corollaries, as well as to develop specific analytical and constructive methodologies.

Mathematical Foundations of Computer Science

Author : Peter Ružička
Publisher :
ISBN 13 :
Total Pages : 149 pages
Book Rating : 4.:/5 (249 download)

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Book Synopsis Mathematical Foundations of Computer Science by : Peter Ružička

Download or read book Mathematical Foundations of Computer Science written by Peter Ružička and published by . This book was released on 2002 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Guide to the Software Engineering Body of Knowledge (Swebok(r))

Author : IEEE Computer Society
Publisher :
ISBN 13 : 9780769551661
Total Pages : 348 pages
Book Rating : 4.5/5 (516 download)

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Book Synopsis Guide to the Software Engineering Body of Knowledge (Swebok(r)) by : IEEE Computer Society

Download or read book Guide to the Software Engineering Body of Knowledge (Swebok(r)) written by IEEE Computer Society and published by . This book was released on 2014 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Guide to the Software Engineering Body of Knowledge (SWEBOK(R) Guide), the IEEE Computer Society establishes a baseline for the body of knowledge for the field of software engineering, and the work supports the Society's responsibility to promote the advancement of both theory and practice in this field. It should be noted that the Guide does not purport to define the body of knowledge but rather to serve as a compendium and guide to the knowledge that has been developing and evolving over the past four decades. Now in Version 3.0, the Guide's 15 knowledge areas summarize generally accepted topics and list references for detailed information. The editors for Version 3.0 of the SWEBOK(R) Guide are Pierre Bourque (Ecole de technologie superieure (ETS), Universite du Quebec) and Richard E. (Dick) Fairley (Software and Systems Engineering Associates (S2EA)).

Software Engineering Foundations

Author : Yingxu Wang
Publisher : CRC Press
ISBN 13 : 0203496094
Total Pages : 1488 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Software Engineering Foundations by : Yingxu Wang

Download or read book Software Engineering Foundations written by Yingxu Wang and published by CRC Press. This book was released on 2007-08-09 with total page 1488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking book in this field, Software Engineering Foundations: A Software Science Perspective integrates the latest research, methodologies, and their applications into a unified theoretical framework. Based on the author's 30 years of experience, it examines a wide range of underlying theories from philosophy, cognitive informatics, denota

Mathematical Foundations of Computer Science 2002

Author : Krzystof Diks
Publisher : Springer
ISBN 13 : 3540456872
Total Pages : 660 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Mathematical Foundations of Computer Science 2002 by : Krzystof Diks

Download or read book Mathematical Foundations of Computer Science 2002 written by Krzystof Diks and published by Springer. This book was released on 2007-10-23 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 27th International Symposium on Mathematical Foundations of Computer Science, MFCS 2002, held in Warsaw, Poland in August 2002. The 48 revised full papers presented together with 5 invited papers were carefully reviewed and selected from 108 submissions. All relevant aspects of theoretical computer science are addressed, ranging from discrete mathematics, combinatorial optimization, graph theory, algorithms, and complexity to programming theory, formal methods, and mathematical logic.

Mathematical Foundations of Computer Science 1988

Author : Michal P. Chytil
Publisher : Springer Science & Business Media
ISBN 13 : 9783540501107
Total Pages : 582 pages
Book Rating : 4.5/5 (11 download)

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Book Synopsis Mathematical Foundations of Computer Science 1988 by : Michal P. Chytil

Download or read book Mathematical Foundations of Computer Science 1988 written by Michal P. Chytil and published by Springer Science & Business Media. This book was released on 1988-08-10 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 11 invited lectures and 42 communications presented at the 13th Conference on Mathematical Foundations of Computer Science, MFCS '88, held at Carlsbad, Czechoslovakia, August 29 - September 2, 1988. Most of the papers present material from the following four fields: - complexity theory, in particular structural complexity, - concurrency and parellelism, - formal language theory, - semantics. Other areas treated in the proceedings include functional programming, inductive syntactical synthesis, unification algorithms, relational databases and incremental attribute evaluation.

Mathematical Foundations of Computer Science

Author : Peter A. Fejer
Publisher : Springer Science & Business Media
ISBN 13 : 1461230861
Total Pages : 433 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Foundations of Computer Science by : Peter A. Fejer

Download or read book Mathematical Foundations of Computer Science written by Peter A. Fejer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.