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Author: Otto Opitz
Publisher: Springer Science & Business Media
ISBN: 3642750400
Category : Business & Economics
Languages : en
Pages : 550
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Book Description
The 13th conference of the Gesellschaft fUr Klassifikation e. V. took place at the Universitat Augsburg from April 10 to 12, 1989, with the' local organization by the Lehrstuhl fUr Mathematische Me thoden der Wirtschaftswissenschaften. The wide ranged subject of the conference Conceptual and Numerical Analysis of Data was obliged to indicate the variety of the concepts of data and information as well as the manifold methods of analysing and structuring. Based on the received announcements of papers four sections have been arranged: 1. Data Analysis and Classification: Basic Concepts and Methods 2. Applications in Library Sciences, Documentation and Information Sciences 3. Applications in Economics and Social Sciences 4. Applications in Natural Sciences and Computer Sciences This classification doesn't separate strictly, but it shows that theo retic and applying researchers of most different disciplines were disposed to present a paper. In 60 survey and special lectures the speakers reported on developments in theory and applications en couraging the interdisciplinary dialogue of all participants. This volume contains 42 selected papers grouped according to the four sections. Now we give a short insight into the presented papers. x Several problems of concept analysis, cluster analysis, data analysis and multivariate statistics are considered in 18 pa pers of section 1. The geometric representation of a concept lattice is a collection of figures in the plane corresponding to the given concepts in such a way that the subconcept-superconcept-relation corresponds to the containment relation between the figures. R.
Author: Otto Opitz
Publisher: Springer Science & Business Media
ISBN: 3642750400
Category : Business & Economics
Languages : en
Pages : 550
Get Book Here
Book Description
The 13th conference of the Gesellschaft fUr Klassifikation e. V. took place at the Universitat Augsburg from April 10 to 12, 1989, with the' local organization by the Lehrstuhl fUr Mathematische Me thoden der Wirtschaftswissenschaften. The wide ranged subject of the conference Conceptual and Numerical Analysis of Data was obliged to indicate the variety of the concepts of data and information as well as the manifold methods of analysing and structuring. Based on the received announcements of papers four sections have been arranged: 1. Data Analysis and Classification: Basic Concepts and Methods 2. Applications in Library Sciences, Documentation and Information Sciences 3. Applications in Economics and Social Sciences 4. Applications in Natural Sciences and Computer Sciences This classification doesn't separate strictly, but it shows that theo retic and applying researchers of most different disciplines were disposed to present a paper. In 60 survey and special lectures the speakers reported on developments in theory and applications en couraging the interdisciplinary dialogue of all participants. This volume contains 42 selected papers grouped according to the four sections. Now we give a short insight into the presented papers. x Several problems of concept analysis, cluster analysis, data analysis and multivariate statistics are considered in 18 pa pers of section 1. The geometric representation of a concept lattice is a collection of figures in the plane corresponding to the given concepts in such a way that the subconcept-superconcept-relation corresponds to the containment relation between the figures. R.
Author: Otto Opitz
Publisher: Springer
ISBN: 9783642750410
Category : Business & Economics
Languages : en
Pages : 530
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Book Description
The 13th conference of the Gesellschaft fUr Klassifikation e. V. took place at the Universitat Augsburg from April 10 to 12, 1989, with the' local organization by the Lehrstuhl fUr Mathematische Me thoden der Wirtschaftswissenschaften. The wide ranged subject of the conference Conceptual and Numerical Analysis of Data was obliged to indicate the variety of the concepts of data and information as well as the manifold methods of analysing and structuring. Based on the received announcements of papers four sections have been arranged: 1. Data Analysis and Classification: Basic Concepts and Methods 2. Applications in Library Sciences, Documentation and Information Sciences 3. Applications in Economics and Social Sciences 4. Applications in Natural Sciences and Computer Sciences This classification doesn't separate strictly, but it shows that theo retic and applying researchers of most different disciplines were disposed to present a paper. In 60 survey and special lectures the speakers reported on developments in theory and applications en couraging the interdisciplinary dialogue of all participants. This volume contains 42 selected papers grouped according to the four sections. Now we give a short insight into the presented papers. x Several problems of concept analysis, cluster analysis, data analysis and multivariate statistics are considered in 18 pa pers of section 1. The geometric representation of a concept lattice is a collection of figures in the plane corresponding to the given concepts in such a way that the subconcept-superconcept-relation corresponds to the containment relation between the figures. R.
Author: Tofigh Allahviranloo
Publisher: CRC Press
ISBN: 1000540251
Category : Technology & Engineering
Languages : en
Pages : 219
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Book Description
Numerical analysis forms a cornerstone of numeric computing and optimization, in particular recently, interval numerical computations play an important role in these topics. The interest of researchers in computations involving uncertain data, namely interval data opens new avenues in coping with real-world problems and deliver innovative and efficient solutions. This book provides the basic theoretical foundations of numerical methods, discusses key technique classes, explains improvements and improvements, and provides insights into recent developments and challenges. The theoretical parts of numerical methods, including the concept of interval approximation theory, are introduced and explained in detail. In general, the key features of the book include an up-to-date and focused treatise on error analysis in calculations, in particular the comprehensive and systematic treatment of error propagation mechanisms, considerations on the quality of data involved in numerical calculations, and a thorough discussion of interval approximation theory. Moreover, this book focuses on approximation theory and its development from the perspective of linear algebra, and new and regular representations of numerical integration and their solutions are enhanced by error analysis as well. The book is unique in the sense that its content and organization will cater to several audiences, in particular graduate students, researchers, and practitioners.
Author: Vinay Vachharajani
Publisher: BPB Publications
ISBN: 9387284611
Category : Computers
Languages : en
Pages : 594
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Book Description
Description:This book is Designed to serve as a text book for the undergraduate as well as post graduate students of Mathematics, Engineering, Computer Science.COVERAGE:Concept of numbers and their accuracy, binary and decimal number system, limitations of floating point representation.Concept of error and their types, propagation of errors through process graph.Iterative methods for finding the roots of algebraic and transcendental equations with their convergence, methods to solve the set of non-linear equations, methods to obtain complex roots.Concept of matrices, the direct and iterative methods to solve a system of linear algebraic equations.Finite differences, interpolation and extrapolation methods, cubic spline, concept of curve fitting.Differentiation and integration methods.Solution of ordinary and partial differential equations SALIENT FEATURES:Chapters include objectives, learning outcomes, multiple choice questions, exercises for practice and solutions.Programs are written in C Language for Numerical methods.Topics are explained with suitable examples.Arrangement (Logical order), clarity, detailed presentation and explanation of each topic with numerous solved and unsolved examples.Concise but lucid and student friendly presentation for derivation of formulas used in various numerical methods. Table Of Contents:Computer ArithmeticError Analysis Solution of Algebraic and Transcendental Equations Solution of System of Linear Equations and Eigen value Problems Finite Differences Interpolation Curve Fitting and Approximation Numerical Differentiation Numerical Integration Difference Equations Numerical Solution of Ordinary Differential Equations Numerical Solution of Partial Differential Equations Appendix - I Case Studies / Applications Appendix - II Synthetic Division Bibliography Index
Author: Radhey S. Gupta
Publisher: Cambridge University Press
ISBN: 1316338290
Category : Mathematics
Languages : en
Pages : 778
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Book Description
Numerical analysis deals with the manipulation of numbers to solve a particular problem. This book discusses in detail the creation, analysis and implementation of algorithms to solve the problems of continuous mathematics. An input is provided in the form of numerical data or it is generated as required by the system to solve a mathematical problem. Subsequently, this input is processed through arithmetic operations together with logical operations in a systematic manner and an output is produced in the form of numbers. Covering the fundamentals of numerical analysis and its applications in one volume, this book offers detailed discussion on relevant topics including difference equations, Fourier series, discrete Fourier transforms and finite element methods. In addition, the important concepts of integral equations, Chebyshev Approximation and Eigen Values of Symmetric Matrices are elaborated upon in separate chapters. The book will serve as a suitable textbook for undergraduate students in science and engineering.
Author: Josef Honerkamp
Publisher: John Wiley & Sons
ISBN: 9780471188346
Category : Mathematics
Languages : de
Pages : 558
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Book Description
This unique volume introduces the reader to the mathematical language for complex systems and is ideal for students who are starting out in the study of stochastical dynamical systems. Unlike other books in the field it covers a broad array of stochastic and statistical methods.
Author: Nabil Nassif
Publisher: CRC Press
ISBN: 1466589493
Category : Mathematics
Languages : en
Pages : 332
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Book Description
Designed for a one-semester course, Introduction to Numerical Analysis and Scientific Computing presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. The classroom-tested text helps students understand floating point number representations, particularly those pertaining to IEEE simple an
Author: Victor S. Ryaben'kii
Publisher: CRC Press
ISBN: 1420011162
Category : Mathematics
Languages : en
Pages : 552
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Book Description
A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An access
Author: Said Gamil Ahmed
Publisher: Bentham Science Publishers
ISBN: 1681086514
Category : Mathematics
Languages : en
Pages : 280
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Book Description
This textbook is intended as a guide for undergraduate and graduate students in engineering, science and technology courses. Chapters of the book cover the numerical concepts of errors, approximations, differential equations and partial differential equations. The simple presentation of numerical concepts and illustrative examples helps students and general readers to understand the topics covered in the text.
Author: James V Lambers
Publisher: World Scientific
ISBN: 9811227950
Category : Mathematics
Languages : en
Pages : 691
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Book Description
This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations.Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language.This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.
