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Author: Martin Wirsing
Publisher: Springer Science & Business Media
ISBN: 9783540516989
Category : Computers
Languages : en
Pages : 572
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Book Description
Author: Martin Wirsing
Publisher: Springer Science & Business Media
ISBN: 9783540516989
Category : Computers
Languages : en
Pages : 572
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Book Description
Author: Jan A. Bergstra
Publisher: Springer Science & Business Media
ISBN: 9783540539124
Category : Computers
Languages : en
Pages : 448
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Book Description
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.
Author: Dr. Gérard G. Emch
Publisher: Courier Corporation
ISBN: 0486151719
Category : Science
Languages : en
Pages : 336
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Book Description
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.
Author: Rafael Martínez-Guerra
Publisher: Springer
ISBN: 3030120252
Category : Technology & Engineering
Languages : en
Pages : 201
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Book Description
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.
Author: Francisco M. Fernandez
Publisher: CRC Press
ISBN: 9780849382925
Category : Science
Languages : en
Pages : 284
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Book Description
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.
Author: Derek J. Andrews
Publisher: Springer Science & Business Media
ISBN: 1447132297
Category : Computers
Languages : en
Pages : 367
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Book Description
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.
Author: David J. Harper
Publisher: Springer Science & Business Media
ISBN: 1447138643
Category : Computers
Languages : en
Pages : 330
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Book Description
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.
Author: Egidio Astesiano
Publisher: Springer Science & Business Media
ISBN: 364259851X
Category : Computers
Languages : en
Pages : 626
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Book Description
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.
Author: K. Glazek
Publisher: Springer Science & Business Media
ISBN: 9781402007170
Category : Mathematics
Languages : en
Pages : 404
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Book Description
This book presents a guide to the extensive literature on the topic of semirings and includes a complete bibliography. It serves as a complement to the existing monographs and a point of reference to researchers and students on this topic. The literature on semirings has evolved over many years, in a variety of languages, by authors representing different schools of mathematics and working in various related fields. Recently, semiring theory has experienced rapid development, although publications are widely scattered. This survey also covers those newly emerged areas of semiring applications that have not received sufficient treatment in widely accessible monographs, as well as many lesser-known or `forgotten' works. The author has been collecting the bibliographic data for this book since 1985. Over the years, it has proved very useful for specialists. For example, J.S. Golan wrote he owed `... a special debt to Kazimierz Glazek, whose bibliography proved to be an invaluable guide to the bewildering maze of literature on semirings'. U. Hebisch and H.J. Weinert also mentioned his collection of literature had been of great assistance to them. Now updated to include publications up to the beginning of 2002, this work is available to a wide readership. Audience: This volume is the first single reference that can guide the interested scholar or student to the relevant publications in semirings, semifields, algebraic theory of languages and automata, positive matrices and other generalisations, and ordered semigroups and groups.
Author: Dilip Patel
Publisher: Springer Science & Business Media
ISBN: 1447130162
Category : Computers
Languages : en
Pages : 516
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Book Description
This volume contains the papers presented at the Intemational Conference on Object Oriented Information Systems 00lS'94, held at South Bank University, London, December 19 - 21, 1994. In response to our call for papers, a total 85 papers from 24 different countries were submitted. Each paper was evaluated by at least two Program Committee members and an additional reviewer. Together, we selected 41 papers for presentation at the conference and inclusion in the Proceedings. Also included are the keynote addresses by Peter Gray and Michael Jackson. The other submissions were recommended for presentation in the poster sessions. Peter Gray, our invited speaker, evaluates the problems of object-oriented systems and data independence by looking at how object oriented database applications are failing to perceive its benefits, and instead rely too much on encapsulation. He suggests alternative kinds of object storage to preserve data independence. The second invited speaker, Michael Jackson describes a way of solving problems, by focusing directly on the problems themselves, their components and structures and on the relationships between the problem and the solution method. He discusses a particular view of the role of object-orientation in software development.
