Programming And Mathematical Method

Author : Manfred Broy
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642775727

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Programming and Mathematical Method by Manfred Broy Pdf

The Summer School in Marktoberdorf 1990 had as its overall theme the development of programs as an activity that can be carried out based on and supported by a mathematical method. In particular mathematical methods for the development of programs as parts of distributed systems were included. Mathematical programming methods are a very important topic for which a lot of research in recent years has been carried out. In the Marktoberdorf Summer School outstanding scientists lectured on mathematical programming methods. The lectures centred around logical and functional calculi for the • specification, • refinement, • verification of programs and program systems. Some extremely remarkable examples were given. Looking at these examples it becomes clear that proper research and teaching in the area of program methodology should always show its value by being applied at least to small examples or case studies. It is one of the problems of computing science that examples and case studies have to be short and small to be lJresentable in lectures and papers of moderate size. However, even small examples can tell a lot about the tractability and adequacy of methods and being able to treat small examples does at least prove that the method can be applied in modest ways. Furthermore it demonstrates to some extent the notational and calculational overhead of applying formal methods.

Author : Manfred Broy,Birgit Schieder
Publisher : Springer Science & Business Media
Page : 538 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642608582

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Mathematical Methods in Program Development by Manfred Broy,Birgit Schieder Pdf

Modern information processing systems show such complex properties as distribution, parallelism, interaction, time dependency, and nondeterminism. For critical applications, mathematical methods are needed to model the systems and to support their development and validation. Impressive progress in mathematical methods for programming software systems makes it possible to think about unifying the different approaches. This book gives a comprehensive overview of existing methods and presents some of the most recent results in applying them. The main topics are: advanced programming techniques, foundations of systems engineering, mathematical support methods, and application of the methods. The approaches presented are illustrated by examples and related to other approaches.

Author : S. A. MirHassani,F. Hooshmand
Publisher : Springer Nature
Page : 389 pages
File Size : 50,7 Mb
Release : 2019-12-09
Category : Mathematics
ISBN : 9783030270452

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Methods and Models in Mathematical Programming by S. A. MirHassani,F. Hooshmand Pdf

This book focuses on mathematical modeling, describes the process of constructing and evaluating models, discusses the challenges and delicacies of the modeling process, and explicitly outlines the required rules and regulations so that the reader will be able to generalize and reuse concepts in other problems by relying on mathematical logic.Undergraduate and postgraduate students of different academic disciplines would find this book a suitable option preparing them for jobs and research fields requiring modeling techniques. Furthermore, this book can be used as a reference book for experts and practitioners requiring advanced skills of model building in their jobs.

Author : Samuel Karlin
Publisher : Unknown
Page : 408 pages
File Size : 43,9 Mb
Release : 1959
Category : Economics, Mathematical
ISBN : UOM:39015000489313

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Mathematical Methods and Theory in Games, Programming, and Economics by Samuel Karlin Pdf

V. 1 : Matrix games, programming, and mathematical economics. v. 2 : The theory of infinite games.

Author : Manfred Broy,F L Bauer
Publisher : Unknown
Page : 424 pages
File Size : 45,6 Mb
Release : 1992-10-12
Category : Electronic
ISBN : 364277573X

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Programming and Mathematical Method by Manfred Broy,F L Bauer Pdf

The construction of a software system is a task that has to be structured toensure that the software product fulfills all expectations and the process of producing it remains manageable and reliable. Mathematical methods, including logic, algebra and functional calculus, are needed to support structuring and provide notations and basic formal concepts for the foundations of software engineering. Mathematical methods of programming reflect the need for modularization and abstraction and suggest appropriate goal-directed procedures for the construction of software programs. This volume contains the proceedings of an International Summer School held at Marktoberdorf in 1990, the 11th in a series on mathematical methods in programming. Outstanding scientists contributed papers centered around logical and functional calculi for the specification, refinement and verification of programs and program systems, and remarkable examples for the formal development of proofs and algorithms are given.

Author : Yu Yu Lobanov,E P Zhidkov
Publisher : World Scientific
Page : 326 pages
File Size : 47,6 Mb
Release : 1994-05-16
Category : Electronic
ISBN : 9789814551687

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Programming And Mathematical Techniques In Physics - Proceedings Of The Conference On Programming And Mathematical Methods For Solving Physical Problems by Yu Yu Lobanov,E P Zhidkov Pdf

This volume is a collection of papers which were presented at the traditional international conference on programming and mathematical methods for solving physical problems. The topics covered a wide scope of problems including information database systems, networking, data acquisition systems, analytical and numerical methods for solution of the physical problems.

Author : Manfred Broy,Birgit Schieder
Publisher : Springer
Page : 0 pages
File Size : 52,6 Mb
Release : 2011-10-06
Category : Computers
ISBN : 3642645887

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Mathematical Methods in Program Development by Manfred Broy,Birgit Schieder Pdf

Modern information processing systems show such complex properties as distribution, parallelism, interaction, time dependency, and nondeterminism. For critical applications, mathematical methods are needed to model the systems and to support their development and validation. Impressive progress in mathematical methods for programming software systems makes it possible to think about unifying the different approaches. This book gives a comprehensive overview of existing methods and presents some of the most recent results in applying them. The main topics are: advanced programming techniques, foundations of systems engineering, mathematical support methods, and application of the methods. The approaches presented are illustrated by examples and related to other approaches.

Author : José Manuel García Sánchez
Publisher : Springer Nature
Page : 291 pages
File Size : 47,6 Mb
Release : 2020-10-31
Category : Business & Economics
ISBN : 9783030572501

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Modelling in Mathematical Programming by José Manuel García Sánchez Pdf

This book provides basic tools for learning how to model in mathematical programming, from models without much complexity to complex system models. It presents a unique methodology for the building of an integral mathematical model, as well as new techniques that help build under own criteria. It allows readers to structure models from the elements and variables to the constraints, a basic modelling guide for any system with a new scheme of variables, a classification of constraints and also a set of rules to model specifications stated as logical propositions, helping to better understand models already existing in the literature. It also presents the modelling of all possible objectives that may arise in optimization problems regarding the variables values. The book is structured to guide the reader in an orderly manner, learning of the components that the methodology establishes in an optimization problem. The system includes the elements, which are all the actors that participate in the system, decision activities that occur in the system, calculations based on the decision activities, specifications such as regulations, impositions or actions of defined value and objective criterion, which guides the resolution of the system.

Author : A. F. Nizard
Publisher : PHI Learning Pvt. Ltd.
Page : 292 pages
File Size : 46,9 Mb
Release : 2004-10-01
Category : Computer programming
ISBN : 8120312562

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Mathematical Methods and Programming by A. F. Nizard Pdf

Author : I.M. Stancu-Minasian
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400900356

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Fractional Programming by I.M. Stancu-Minasian Pdf

Mathematical programming has know a spectacular diversification in the last few decades. This process has happened both at the level of mathematical research and at the level of the applications generated by the solution methods that were created. To write a monograph dedicated to a certain domain of mathematical programming is, under such circumstances,especially difficult. In the present monograph we opt for the domain of fractional programming. Interest of this subject was generated by the fact that various optimization problems from engineering and economics consider the minimization of a ratio between physical and/or economical functions, for example cost/time, cost/volume,cost/profit, or other quantities that measure the efficiency of a system. For example, the productivity of industrial systems, defined as the ratio between the realized services in a system within a given period of time and the utilized resources, is used as one of the best indicators of the quality of their operation. Such problems, where the objective function appears as a ratio of functions, constitute fractional programming problem. Due to its importance in modeling various decision processes in management science, operational research, and economics, and also due to its frequent appearance in other problems that are not necessarily economical, such as information theory, numerical analysis, stochastic programming, decomposition algorithms for large linear systems, etc., the fractional programming method has received particular attention in the last three decades.

Author : Todd K. Moon
Publisher : John Wiley & Sons
Page : 800 pages
File Size : 48,6 Mb
Release : 2005-06-06
Category : Computers
ISBN : 9780471648000

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Error Correction Coding by Todd K. Moon Pdf

An unparalleled learning tool and guide to error correction coding Error correction coding techniques allow the detection and correction of errors occurring during the transmission of data in digital communication systems. These techniques are nearly universally employed in modern communication systems, and are thus an important component of the modern information economy. Error Correction Coding: Mathematical Methods and Algorithms provides a comprehensive introduction to both the theoretical and practical aspects of error correction coding, with a presentation suitable for a wide variety of audiences, including graduate students in electrical engineering, mathematics, or computer science. The pedagogy is arranged so that the mathematical concepts are presented incrementally, followed immediately by applications to coding. A large number of exercises expand and deepen students' understanding. A unique feature of the book is a set of programming laboratories, supplemented with over 250 programs and functions on an associated Web site, which provides hands-on experience and a better understanding of the material. These laboratories lead students through the implementation and evaluation of Hamming codes, CRC codes, BCH and R-S codes, convolutional codes, turbo codes, and LDPC codes. This text offers both "classical" coding theory-such as Hamming, BCH, Reed-Solomon, Reed-Muller, and convolutional codes-as well as modern codes and decoding methods, including turbo codes, LDPC codes, repeat-accumulate codes, space time codes, factor graphs, soft-decision decoding, Guruswami-Sudan decoding, EXIT charts, and iterative decoding. Theoretical complements on performance and bounds are presented. Coding is also put into its communications and information theoretic context and connections are drawn to public key cryptosystems. Ideal as a classroom resource and a professional reference, this thorough guide will benefit electrical and computer engineers, mathematicians, students, researchers, and scientists.

Author : Nimrod Megiddo
Publisher : Springer Science & Business Media
Page : 164 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461396178

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Progress in Mathematical Programming by Nimrod Megiddo Pdf

The starting point of this volume was a conference entitled "Progress in Mathematical Programming," held at the Asilomar Conference Center in Pacific Grove, California, March 1-4, 1987. The main topic of the conference was developments in the theory and practice of linear programming since Karmarkar's algorithm. There were thirty presentations and approximately fifty people attended. Presentations included new algorithms, new analyses of algorithms, reports on computational experience, and some other topics related to the practice of mathematical programming. Interestingly, most of the progress reported at the conference was on the theoretical side. Several new polynomial algorithms for linear program ming were presented (Barnes-Chopra-Jensen, Goldfarb-Mehrotra, Gonzaga, Kojima-Mizuno-Yoshise, Renegar, Todd, Vaidya, and Ye). Other algorithms presented were by Betke-Gritzmann, Blum, Gill-Murray-Saunders-Wright, Nazareth, Vial, and Zikan-Cottle. Efforts in the theoretical analysis of algo rithms were also reported (Anstreicher, Bayer-Lagarias, Imai, Lagarias, Megiddo-Shub, Lagarias, Smale, and Vanderbei). Computational experiences were reported by Lustig, Tomlin, Todd, Tone, Ye, and Zikan-Cottle. Of special interest, although not in the main direction discussed at the conference, was the report by Rinaldi on the practical solution of some large traveling salesman problems. At the time of the conference, it was still not clear whether the new algorithms developed since Karmarkar's algorithm would replace the simplex method in practice. Alan Hoffman presented results on conditions under which linear programming problems can be solved by greedy algorithms."

Author : Antonio J. Conejo,Enrique Castillo,Roberto Minguez,Raquel Garcia-Bertrand
Publisher : Springer Science & Business Media
Page : 542 pages
File Size : 46,9 Mb
Release : 2006-04-28
Category : Technology & Engineering
ISBN : 9783540276869

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Decomposition Techniques in Mathematical Programming by Antonio J. Conejo,Enrique Castillo,Roberto Minguez,Raquel Garcia-Bertrand Pdf

Optimization plainly dominates the design, planning, operation, and c- trol of engineering systems. This is a book on optimization that considers particular cases of optimization problems, those with a decomposable str- ture that can be advantageously exploited. Those decomposable optimization problems are ubiquitous in engineering and science applications. The book considers problems with both complicating constraints and complicating va- ables, and analyzes linear and nonlinear problems, with and without in- ger variables. The decomposition techniques analyzed include Dantzig-Wolfe, Benders, Lagrangian relaxation, Augmented Lagrangian decomposition, and others. Heuristic techniques are also considered. Additionally, a comprehensive sensitivity analysis for characterizing the solution of optimization problems is carried out. This material is particularly novel and of high practical interest. This book is built based on many clarifying, illustrative, and compu- tional examples, which facilitate the learning procedure. For the sake of cl- ity, theoretical concepts and computational algorithms are assembled based on these examples. The results are simplicity, clarity, and easy-learning. We feel that this book is needed by the engineering community that has to tackle complex optimization problems, particularly by practitioners and researchersinEngineering,OperationsResearch,andAppliedEconomics.The descriptions of most decomposition techniques are available only in complex and specialized mathematical journals, di?cult to understand by engineers. A book describing a wide range of decomposition techniques, emphasizing problem-solving, and appropriately blending theory and application, was not previously available.

Author : Klaus Schittkowski
Publisher : Springer
Page : 474 pages
File Size : 46,5 Mb
Release : 1985
Category : Mathematics
ISBN : UOM:39015009822811

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Computational Mathematical Programming by Klaus Schittkowski Pdf

Author : Peter Comninos
Publisher : Springer Science & Business Media
Page : 556 pages
File Size : 41,9 Mb
Release : 2010-04-06
Category : Computers
ISBN : 9781846282928

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Mathematical and Computer Programming Techniques for Computer Graphics by Peter Comninos Pdf

Provides a comprehensive and detailed coverage of the fundamentals of programming techniques for computer graphics Uses lots of code examples, encouraging the reader to explore and experiment with data and computer programs (in the C programming language)