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Algebraic Methods Theory Tools And Applications
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Book Synopsis Algebraic Methods: Theory, Tools and Applications by : Martin Wirsing
Download or read book Algebraic Methods: Theory, Tools and Applications written by Martin Wirsing and published by Springer Science & Business Media. This book was released on 1989-09-20 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Methods II: Theory, Tools and Applications by : Jan A. Bergstra
Download or read book Algebraic Methods II: Theory, Tools and Applications written by Jan A. Bergstra and published by Springer Science & Business Media. This book was released on 1991-04-10 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proper treatment and choice of the basic data structures is an important and complex part in the process of program construction. Algebraic methods provide techniques for data abstraction and the structured specification, validation and analysis of data structures. This volume originates from a workshop organized within ESPRIT Project 432 METEOR, An Integrated Formal Approach to Industrial Software Development, held in Mierlo, The Netherlands, September 1989. The volume includes five invited contributions based on workshop talks given by A. Finkelstein, P. Klint, C.A. Middelburg, E.-R. Olderog, and H.A. Partsch. Ten further papers by members of the METEOR team are based on talks given at the workshop. The workshop was a successor to an earlier one held in Passau, Germany, June 1987, the proceedings of which were published as Lecture Notes in Computer Science, Vol. 394.
Book Synopsis Algebraic Methods in Statistical Mechanics and Quantum Field Theory by : Dr. Gérard G. Emch
Download or read book Algebraic Methods in Statistical Mechanics and Quantum Field Theory written by Dr. Gérard G. Emch and published by Courier Corporation. This book was released on 2014-08-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This systematic algebraic approach offers a careful formulation of the problems' physical motivations as well as self-contained descriptions of the mathematical methods for arriving at solutions. 1972 edition.
Book Synopsis Algebraic and Differential Methods for Nonlinear Control Theory by : Rafael Martínez-Guerra
Download or read book Algebraic and Differential Methods for Nonlinear Control Theory written by Rafael Martínez-Guerra and published by Springer. This book was released on 2019-01-30 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, it introduces some elementary concepts of commutative algebra and algebraic geometry which offer a set of tools quite different from the traditional approaches to the subject matter. This text begins with the study of elementary set and map theory. Chapters 2 and 3 on group theory and rings, respectively, are included because of their important relation to linear algebra, the group of invertible linear maps (or matrices) and the ring of linear maps of a vector space. Homomorphisms and Ideals are dealt with as well at this stage. Chapter 4 is devoted to the theory of matrices and systems of linear equations. Chapter 5 gives some information on permutations, determinants and the inverse of a matrix. Chapter 6 tackles vector spaces over a field, Chapter 7 treats linear maps resp. linear transformations, and in addition the application in linear control theory of some abstract theorems such as the concept of a kernel, the image and dimension of vector spaces are illustrated. Chapter 8 considers the diagonalization of a matrix and their canonical forms. Chapter 9 provides a brief introduction to elementary methods for solving differential equations and, finally, in Chapter 10, nonlinear control theory is introduced from the point of view of differential algebra.
Book Synopsis Algebraic Methods II by : Loe M. G. Feijs
Download or read book Algebraic Methods II written by Loe M. G. Feijs and published by . This book was released on 2014-01-15 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Specifications of Database Systems by : David J. Harper
Download or read book Specifications of Database Systems written by David J. Harper and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Increasingly, formal specification is being used by database researchers to describe and understand the systems they are designing and implementing. Similarly, those working on formal specification techniques have recognised that the database field provides a rich context for developing their ideas. However, as experts in one field often have a relatively limited knowledge of the other, there is a growing need for discussion about the relationship between these two fields and how they can be usefully combined. This volume contains the 16 papers which were presented at the International Workshop on Specification on Database Systems, held in Glasgow, 3-5 July 1991. The purpose of the workshop was to bring together these fields and to examine, through a series of invited talks, presentations and working groups, the role that formal specification can play in developing database systems. The papers describe current research into topics such as the formal specification of data models, query languages and transaction handling and the use of formal specification techniques to understand problems which arise in database systems. The working groups, which are summarised at the end of the volume, covered a variety of issues including the role of graphical notations in database specification, the use of specification techniques in enabling "open" or extensible database systems and the education of the database community in specification techniques. This volume will be invaluable to the increasing number of researchers who are using both database systems and formal specification techniques in their work, and who wish to gain a more detailed knowledge of these two fields and the issues which affect them.
Book Synopsis Semantics of Specification Languages (SoSL) by : Derek J. Andrews
Download or read book Semantics of Specification Languages (SoSL) written by Derek J. Andrews and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: SoSL was the first International Workshop on Semantics of Specification Languages, held from 25-27 October 1993 in Utrecht, the Netherlands. The workshop was organized by the Department of Philosophy of Utrecht University with financial support from the Nationale Faciliteit Informatica of the Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO), and under the auspices of the British Computer Society'S specialist group in Formal Aspects of Computing Science (BCS FACS). The concern of the workshop was the semantics of specification languages, and the issues closely related to this area, such as type checking and the justification of proof rules and proof obligations. Its aim was the exchange of problems and ideas in this field of formal methods, and the identification of common programs of work for further investigation. The program of SoSL consisted of 3 invited lectures presenting the developments of the semantics of 3 major specification languages. Furthermore, there were 16 presentations of submitted papers. This volume provides a direct account of the workshop. It contains 3 papers that match the invited lectures and the 16 selected papers. The editors want to thank all those who have contributed to the workshop; the Program Committee and the referees for selecting the contributed papers, the invited speakers for their interesting talks, the Organizing Committee for all their efforts, and of course the participants. We have the feeling that the workshop was worthwhile and should be repeated.
Book Synopsis Algebraic Methods in Quantum Chemistry and Physics by : Francisco M. Fernandez
Download or read book Algebraic Methods in Quantum Chemistry and Physics written by Francisco M. Fernandez and published by CRC Press. This book was released on 1995-10-24 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Methods in Quantum Chemistry and Physics provides straightforward presentations of selected topics in theoretical chemistry and physics, including Lie algebras and their applications, harmonic oscillators, bilinear oscillators, perturbation theory, numerical solutions of the Schrödinger equation, and parameterizations of the time-evolution operator. The mathematical tools described in this book are presented in a manner that clearly illustrates their application to problems arising in theoretical chemistry and physics. The application techniques are carefully explained with step-by-step instructions that are easy to follow, and the results are organized to facilitate both manual and numerical calculations. Algebraic Methods in Quantum Chemistry and Physics demonstrates how to obtain useful analytical results with elementary algebra and calculus and an understanding of basic quantum chemistry and physics.
Book Synopsis A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences by : K. Glazek
Download or read book A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences written by K. Glazek and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a short guide to the extensive literature concerning semir ings along with a complete bibliography. The literature has been created over many years, in variety of languages, by authors representing different schools of mathematics and working in various related fields. In many instances the terminology used is not universal, which further compounds the difficulty of locating pertinent sources even in this age of the Internet and electronic dis semination of research results. So far there has been no single reference that could guide the interested scholar or student to the relevant publications. This book is an attempt to fill this gap. My interest in the theory of semirings began in the early sixties, when to gether with Bogdan W ~glorz I tried to investigate some algebraic aspects of compactifications of topological spaces, semirings of semicontinuous functions, and the general ideal theory for special semirings. (Unfortunately, local alge braists in Poland told me at that time that there was nothing interesting in investigating semiring theory because ring theory was still being developed). However, some time later we became aware of some similar investigations hav ing already been done. The theory of semirings has remained "my first love" ever since, and I have been interested in the results in this field that have been appearing in literature (even though I have not been active in this area myself).
Book Synopsis Formal Methods for Open Object-based Distributed Systems by : Howard Bowman
Download or read book Formal Methods for Open Object-based Distributed Systems written by Howard Bowman and published by Springer. This book was released on 2016-01-09 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the leading edge in several related fields, specifically object orientated programming, open distributed systems and formal methods for object oriented systems. With increased support within industry regarding these areas, this book captures the most up-to-date information on the subject. Many topics are discussed, including the following important areas: object oriented design and programming; formal specification of distributed systems; open distributed platforms; types, interfaces and behaviour; formalisation of object oriented methods.
Book Synopsis Algebraic Methods of Mathematical Logic by : Ladislav Rieger
Download or read book Algebraic Methods of Mathematical Logic written by Ladislav Rieger and published by Elsevier. This book was released on 2014-05-12 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Methods of Mathematical Logic focuses on the algebraic methods of mathematical logic, including Boolean algebra, mathematical language, and arithmetization. The book first offers information on the dialectic of the relation between mathematical and metamathematical aspects; metamathematico-mathematical parallelism and its natural limits; practical applications of methods of mathematical logic; and principal mathematical tools of mathematical logic. The text then elaborates on the language of mathematics and its symbolization and recursive construction of the relation of consequence. Discussions focus on recursive construction of the relation of consequence, fundamental descriptively-semantic rules, mathematical logic and mathematical language as a material system of signs, and the substance and purpose of symbolization of mathematical language. The publication examines expressive possibilities of symbolization; intuitive and mathematical notions of an idealized axiomatic mathematical theory; and the algebraic theory of elementary predicate logic. Topics include the notion of Boolean algebra based on joins, meets, and complementation, logical frame of a language and mathematical theory, and arithmetization and algebraization. The manuscript is a valuable reference for mathematicians and researchers interested in the algebraic methods of mathematical logic.
Book Synopsis Process Algebra: Equational Theories of Communicating Processes by : J. C. M. Baeten
Download or read book Process Algebra: Equational Theories of Communicating Processes written by J. C. M. Baeten and published by Cambridge University Press. This book was released on 2010 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unified overview of the various process algebras currently in use and sets the standard for the field.
Book Synopsis Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory by : Gebhard Böckle
Download or read book Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory written by Gebhard Böckle and published by Springer. This book was released on 2018-03-22 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.
Book Synopsis Algebraic Foundations of Systems Specification by : Egidio Astesiano
Download or read book Algebraic Foundations of Systems Specification written by Egidio Astesiano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IFIP report is a collection of fundamental, high-quality contributions on the algebraic foundations of system specification. The contributions cover and survey active topics and recent advances, and address such subjects as: the role of formal specification, algebraic preliminaries, partiality, institutions, specification semantics, structuring, refinement, specification languages, term rewriting, deduction and proof systems, object specification, concurrency, and the development process. The authors are well-known experts in the field, and the book is the result of IFIP WG 1.3 in cooperation with Esprit Basic Research WG COMPASS, and provides the foundations of the algebraic specification language CASL designed in the CoFI project. For students, researchers, and system developers.
Book Synopsis VDM '91. Formal Software Development Methods. 4th International Symposium of VDM Europe, Noordwijkerhout, The Netherlands, October 21-25, 1991. Proceedings by : Soren Prehn
Download or read book VDM '91. Formal Software Development Methods. 4th International Symposium of VDM Europe, Noordwijkerhout, The Netherlands, October 21-25, 1991. Proceedings written by Soren Prehn and published by Springer Science & Business Media. This book was released on 1991-10-14 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the fourth Vienna Development Method Symposium, VDM'91, are published here in two volumes. Previous VDM symposia were held in 1987 (LNCS 252), 1988 (LNCS 328), and 1990 (LNCS 428). The VDM symposia have been organized by VDM Europe, formed in 1985 as an advisory board sponsored by the Commission of the European Communities. The VDM Europe working group consisted of researchers, software engineers, and programmers, allinterested in promoting the industrial usage of formal methods for software development. The fourth VDM symposium presented not only VDM but also a large number of other methods for formal software development. Volume 1 contains conference contributions. It has four parts: contributions of invited speakers, papers, project reports, and tools demonstration abstracts. The emphasis is on methods and calculi for development, verification and verification tools support, experiences from doing developments, and the associated theoretical problems. Volume 2 contains four introductory tutorials (on LARCH, Refinement Calculus, VDM, and RAISE) and four advanced tutorials (on ABEL, PROSPECTRA, The B Method, and The Stack). They present a comprehensive account of the state of theart.
Book Synopsis Semirings and their Applications by : Jonathan S. Golan
Download or read book Semirings and their Applications written by Jonathan S. Golan and published by Springer Science & Business Media. This book was released on 1999-07-31 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is an updated and considerably expanded version of the author's book The Theory of Semirings, with Applications to Mathematics and Theoretical Science, which has been recognized as the definitive reference work in this area. This edition includes many of the new results in this area, as well as further applications of semiring theory in such areas as idempotent analysis, discrete dynamical systems, formal language theory, fuzzy set theory, optimization etc. The book contains an extensive bibliography and a large number of examples. Audience: This book is aimed both at mathematicians and at researchers in applied mathematics and theoretical computer science. It is also suitable for use as a graduate-level textbook.
Book Synopsis Methods of Programming by : Manfred Broy
Download or read book Methods of Programming written by Manfred Broy and published by Springer Science & Business Media. This book was released on 1991-10-23 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The systematic development of software systems is a central task of computing science. A software system is the result of putting together knowledge about the application, the requirements and the structures of computing science. Under the heading CIP (Computer-aided Intuition-guided Programming), a group of researchers led by Prof. F.L. Bauer and Prof. K. Samelson started work in 1975 in the direction of formal program specification, transformational programming, and tool supportfor program development. The collection of papers in this volume presents examples of a formal approach to programming language concepts and program development based on algebraic specifications and program transformations. Examples are also presented of evolutions and modificationsof the original ideas of the CIP project. The topics range from descriptionsof the program development process to derivations of algorithms from specifications. The volume is dedicated to Prof. F.L. Bauer.
