Conceptual And Numerical Analysis Of Data

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Conceptual and Numerical Analysis of Data

Author : Otto Opitz
Publisher : Springer Science & Business Media
ISBN 13 : 3642750400
Total Pages : 550 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Conceptual and Numerical Analysis of Data by : Otto Opitz

Download or read book Conceptual and Numerical Analysis of Data written by Otto Opitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Numerical Analysis Emphasizing Interval Data

Author : Tofigh Allahviranloo
Publisher : CRC Press
ISBN 13 : 1000540316
Total Pages : 135 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Advances in Numerical Analysis Emphasizing Interval Data by : Tofigh Allahviranloo

Download or read book Advances in Numerical Analysis Emphasizing Interval Data written by Tofigh Allahviranloo and published by CRC Press. This book was released on 2022-02-18 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Characterization, Modeling, Monitoring, and Remediation of Fractured Rock

Author : National Academies of Sciences, Engineering, and Medicine
Publisher : National Academies Press
ISBN 13 : 0309373727
Total Pages : 177 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Characterization, Modeling, Monitoring, and Remediation of Fractured Rock by : National Academies of Sciences, Engineering, and Medicine

Download or read book Characterization, Modeling, Monitoring, and Remediation of Fractured Rock written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2021-01-29 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractured rock is the host or foundation for innumerable engineered structures related to energy, water, waste, and transportation. Characterizing, modeling, and monitoring fractured rock sites is critical to the functioning of those infrastructure, as well as to optimizing resource recovery and contaminant management. Characterization, Modeling, Monitoring, and Remediation of Fractured Rock examines the state of practice and state of art in the characterization of fractured rock and the chemical and biological processes related to subsurface contaminant fate and transport. This report examines new developments, knowledge, and approaches to engineering at fractured rock sites since the publication of the 1996 National Research Council report Rock Fractures and Fluid Flow: Contemporary Understanding and Fluid Flow. Fundamental understanding of the physical nature of fractured rock has changed little since 1996, but many new characterization tools have been developed, and there is now greater appreciation for the importance of chemical and biological processes that can occur in the fractured rock environment. The findings of Characterization, Modeling, Monitoring, and Remediation of Fractured Rock can be applied to all types of engineered infrastructure, but especially to engineered repositories for buried or stored waste and to fractured rock sites that have been contaminated as a result of past disposal or other practices. The recommendations of this report are intended to help the practitioner, researcher, and decision maker take a more interdisciplinary approach to engineering in the fractured rock environment. This report describes how existing tools-some only recently developed-can be used to increase the accuracy and reliability of engineering design and management given the interacting forces of nature. With an interdisciplinary approach, it is possible to conceptualize and model the fractured rock environment with acceptable levels of uncertainty and reliability, and to design systems that maximize remediation and long-term performance. Better scientific understanding could inform regulations, policies, and implementation guidelines related to infrastructure development and operations. The recommendations for research and applications to enhance practice of this book make it a valuable resource for students and practitioners in this field.

Numerical Analysis

Author : Larkin Ridgway Scott
Publisher : Princeton University Press
ISBN 13 : 1400838967
Total Pages : 342 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Numerical Analysis by : Larkin Ridgway Scott

Download or read book Numerical Analysis written by Larkin Ridgway Scott and published by Princeton University Press. This book was released on 2011-04-18 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks. Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases. The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject. Presents the mathematical foundations of numerical analysis Explains the mathematical details behind simulation software Introduces many advanced concepts in modern analysis Self-contained and mathematically rigorous Contains problems and solutions in each chapter Excellent follow-up course to Principles of Mathematical Analysis by Rudin

How to Think About Analysis

Author : Lara Alcock
Publisher : OUP Oxford
ISBN 13 : 0191035378
Total Pages : 272 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis How to Think About Analysis by : Lara Alcock

Download or read book How to Think About Analysis written by Lara Alcock and published by OUP Oxford. This book was released on 2014-09-25 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the student's existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics.

Numerical Methods for Two-Point Boundary-Value Problems

Author : Herbert B. Keller
Publisher : Courier Dover Publications
ISBN 13 : 0486828344
Total Pages : 417 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Numerical Methods for Two-Point Boundary-Value Problems by : Herbert B. Keller

Download or read book Numerical Methods for Two-Point Boundary-Value Problems written by Herbert B. Keller and published by Courier Dover Publications. This book was released on 2018-11-14 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.

Numerical Matrix Analysis

Author : Ilse C. F. Ipsen
Publisher : SIAM
ISBN 13 : 0898716764
Total Pages : 135 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Numerical Matrix Analysis by : Ilse C. F. Ipsen

Download or read book Numerical Matrix Analysis written by Ilse C. F. Ipsen and published by SIAM. This book was released on 2009-07-23 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix analysis presented in the context of numerical computation at a basic level.

Introduction to Numerical Analysis

Author : A. Neumaier
Publisher : Cambridge University Press
ISBN 13 : 9780521336109
Total Pages : 368 pages
Book Rating : 4.3/5 (361 download)

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Book Synopsis Introduction to Numerical Analysis by : A. Neumaier

Download or read book Introduction to Numerical Analysis written by A. Neumaier and published by Cambridge University Press. This book was released on 2001-10 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.

Computational Methods for Numerical Analysis with R

Author : James P Howard, II
Publisher : CRC Press
ISBN 13 : 1498723640
Total Pages : 257 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Computational Methods for Numerical Analysis with R by : James P Howard, II

Download or read book Computational Methods for Numerical Analysis with R written by James P Howard, II and published by CRC Press. This book was released on 2017-07-12 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.

Data Collection and Analysis

Author : Roger Sapsford
Publisher : SAGE
ISBN 13 : 9780761943631
Total Pages : 358 pages
Book Rating : 4.9/5 (436 download)

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Book Synopsis Data Collection and Analysis by : Roger Sapsford

Download or read book Data Collection and Analysis written by Roger Sapsford and published by SAGE. This book was released on 2006-03-29 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: In simple and non-technical terms, this text illustrates a wide range of techniques and approaches used in social research projects.

Theory and Applications of Numerical Analysis

Author : G. M. Phillips
Publisher : Elsevier
ISBN 13 : 0080519121
Total Pages : 461 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Theory and Applications of Numerical Analysis by : G. M. Phillips

Download or read book Theory and Applications of Numerical Analysis written by G. M. Phillips and published by Elsevier. This book was released on 1996-07-05 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and Applications of Numerical Analysis is a self-contained Second Edition, providing an introductory account of the main topics in numerical analysis. The book emphasizes both the theorems which show the underlying rigorous mathematics andthe algorithms which define precisely how to program the numerical methods. Both theoretical and practical examples are included. - a unique blend of theory and applications - two brand new chapters on eigenvalues and splines - inclusion of formal algorithms - numerous fully worked examples - a large number of problems, many with solutions

Elementary Numerical Analysis

Author : S. D. Conte
Publisher : SIAM
ISBN 13 : 1611975204
Total Pages : 474 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Elementary Numerical Analysis by : S. D. Conte

Download or read book Elementary Numerical Analysis written by S. D. Conte and published by SIAM. This book was released on 2018-02-27 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.

Peridynamic Differential Operator for Numerical Analysis

Author : Erdogan Madenci
Publisher : Springer
ISBN 13 : 3030026477
Total Pages : 287 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Peridynamic Differential Operator for Numerical Analysis by : Erdogan Madenci

Download or read book Peridynamic Differential Operator for Numerical Analysis written by Erdogan Madenci and published by Springer. This book was released on 2019-01-17 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the peridynamic (PD) differential operator, which enables the nonlocal form of local differentiation. PD is a bridge between differentiation and integration. It provides the computational solution of complex field equations and evaluation of derivatives of smooth or scattered data in the presence of discontinuities. PD also serves as a natural filter to smooth noisy data and to recover missing data. This book starts with an overview of the PD concept, the derivation of the PD differential operator, its numerical implementation for the spatial and temporal derivatives, and the description of sources of error. The applications concern interpolation, regression, and smoothing of data, solutions to nonlinear ordinary differential equations, single- and multi-field partial differential equations and integro-differential equations. It describes the derivation of the weak form of PD Poisson’s and Navier’s equations for direct imposition of essential and natural boundary conditions. It also presents an alternative approach for the PD differential operator based on the least squares minimization. Peridynamic Differential Operator for Numerical Analysis is suitable for both advanced-level student and researchers, demonstrating how to construct solutions to all of the applications. Provided as supplementary material, solution algorithms for a set of selected applications are available for more details in the numerical implementation.

Typologies and Taxonomies

Author : Kenneth D. Bailey
Publisher : SAGE
ISBN 13 : 9780803952591
Total Pages : 100 pages
Book Rating : 4.9/5 (525 download)

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Book Synopsis Typologies and Taxonomies by : Kenneth D. Bailey

Download or read book Typologies and Taxonomies written by Kenneth D. Bailey and published by SAGE. This book was released on 1994-06-13 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do we group different subjects on a variety of variables? Should we use a classification procedure in which only the concepts are classified (typology), one in which only empirical entities are classified (taxonomy), or some combination of both? In this clearly written book, Bailey addresses these questions and shows how classification methods can be used to improve research. Beginning with an exploration of the advantages and disadvantages of classification procedures including those typologies that can be constructed without the use of a computer, the book covers such topics as clustering procedures (including agglomerative and divisive methods), the relationship among various classification techniques (including the relationship of monothetic, qualitative typologies to polythetic, quantitative taxonomies), a comparison of clustering methods and how these methods compare with related statistical techniques such as factor analysis, multidimensional scaling and systems analysis, and lists classification resources. This volume also discusses software packages for use in clustering techniques.

Explorations In Numerical Analysis: Python Edition

Author : James V Lambers
Publisher : World Scientific
ISBN 13 : 9811227950
Total Pages : 691 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Explorations In Numerical Analysis: Python Edition by : James V Lambers

Download or read book Explorations In Numerical Analysis: Python Edition written by James V Lambers and published by World Scientific. This book was released on 2021-01-14 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scientific Computing

Author : Michael T. Heath
Publisher : SIAM
ISBN 13 : 1611975573
Total Pages : 587 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Scientific Computing by : Michael T. Heath

Download or read book Scientific Computing written by Michael T. Heath and published by SIAM. This book was released on 2018-11-14 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.

Numerical Algorithms

Author : Justin Solomon
Publisher : CRC Press
ISBN 13 : 1482251892
Total Pages : 400 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Numerical Algorithms by : Justin Solomon

Download or read book Numerical Algorithms written by Justin Solomon and published by CRC Press. This book was released on 2015-06-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig