Computational Functional Analysis

Computational Functional Analysis
Author: Ramon E Moore,Michael J Cloud
Publsiher: Elsevier
Total Pages: 212
Release: 2007-06-01
ISBN 10: 0857099434
ISBN 13: 9780857099433
Language: EN, FR, DE, ES & NL

Computational Functional Analysis Book Review:

This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ‘‘hybrid’’ method for difficult real-life problems, with a balance between coverage of linear and non-linear operator equations. The authors successful teaching philosophy: ‘‘We learn by doing’’ is reflected throughout the book. Contains 100 problem-exercises, answers and tutorial hints for students reading applied functional analysis Introduces interval analysis into the mainstream of computational functional analysis

Computational Functional Analysis

Computational Functional Analysis
Author: Ramon E. Moore
Publsiher: Ellis Horwood
Total Pages: 156
Release: 1985
ISBN 10: 1928374650XXX
ISBN 13: UOM:39076000477989
Language: EN, FR, DE, ES & NL

Computational Functional Analysis Book Review:

An Introduction to Functional Analysis in Computational Mathematics

An Introduction to Functional Analysis in Computational Mathematics
Author: V.I. Lebedev
Publsiher: Birkhäuser
Total Pages: 256
Release: 2011-09-26
ISBN 10: 9781461286660
ISBN 13: 1461286662
Language: EN, FR, DE, ES & NL

An Introduction to Functional Analysis in Computational Mathematics Book Review:

The book contains the methods and bases of functional analysis that are directly adjacent to the problems of numerical mathematics and its applications; they are what one needs for the understand ing from a general viewpoint of ideas and methods of computational mathematics and of optimization problems for numerical algorithms. Functional analysis in mathematics is now just the small visible part of the iceberg. Its relief and summit were formed under the influence of this author's personal experience and tastes. This edition in English contains some additions and changes as compared to the second edition in Russian; discovered errors and misprints had been corrected again here; to the author's distress, they jump incomprehensibly from one edition to another as fleas. The list of literature is far from being complete; just a number of textbooks and monographs published in Russian have been included. The author is grateful to S. Gerasimova for her help and patience in the complex process of typing the mathematical manuscript while the author corrected, rearranged, supplemented, simplified, general ized, and improved as it seemed to him the book's contents. The author thanks G. Kontarev for the difficult job of translation and V. Klyachin for the excellent figures.

Computational Text Analysis

Computational Text Analysis
Author: Soumya Raychaudhuri
Publsiher: OUP Oxford
Total Pages: 312
Release: 2006-01-26
ISBN 10: 0191513776
ISBN 13: 9780191513770
Language: EN, FR, DE, ES & NL

Computational Text Analysis Book Review:

This book brings together the two disparate worlds of computational text analysis and biology and presents some of the latest methods and applications to proteomics, sequence analysis and gene expression data. Modern genomics generates large and comprehensive data sets but their interpretation requires an understanding of a vast number of genes, their complex functions, and interactions. Keeping up with the literature on a single gene is a challenge itself-for thousands of genes it is simply. impossible. Here, Soumya Raychaudhuri presents the techniques and algorithms needed to access and utilize the vast scientific text, i.e. methods that automatically read the literature on all the genes. Including background chapters on the necessary biology, statistics and genomics, in addition to practical examples of interpreting many different types of modern experiments, this book is ideal for students and researchers in computational biology, bioinformatics, genomics, statistics and computer science

An Introduction to Functional Analysis in Computational Mathematics

An Introduction to Functional Analysis in Computational Mathematics
Author: V.I. Lebedev
Publsiher: Springer Science & Business Media
Total Pages: 256
Release: 2012-12-06
ISBN 10: 1461241286
ISBN 13: 9781461241287
Language: EN, FR, DE, ES & NL

An Introduction to Functional Analysis in Computational Mathematics Book Review:

The book contains the methods and bases of functional analysis that are directly adjacent to the problems of numerical mathematics and its applications; they are what one needs for the understand ing from a general viewpoint of ideas and methods of computational mathematics and of optimization problems for numerical algorithms. Functional analysis in mathematics is now just the small visible part of the iceberg. Its relief and summit were formed under the influence of this author's personal experience and tastes. This edition in English contains some additions and changes as compared to the second edition in Russian; discovered errors and misprints had been corrected again here; to the author's distress, they jump incomprehensibly from one edition to another as fleas. The list of literature is far from being complete; just a number of textbooks and monographs published in Russian have been included. The author is grateful to S. Gerasimova for her help and patience in the complex process of typing the mathematical manuscript while the author corrected, rearranged, supplemented, simplified, general ized, and improved as it seemed to him the book's contents. The author thanks G. Kontarev for the difficult job of translation and V. Klyachin for the excellent figures.

Computational and Experimental Analysis of Functional Materials

Computational and Experimental Analysis of Functional Materials
Author: Oleksandr V. Reshetnyak,Gennady E. Zaikov
Publsiher: CRC Press
Total Pages: 532
Release: 2017-03-27
ISBN 10: 177188343X
ISBN 13: 9781771883436
Language: EN, FR, DE, ES & NL

Computational and Experimental Analysis of Functional Materials Book Review:

This book looks at the synthesis of polyaniline by different methods, under different conditions, for various applications, and presents studies of its properties by a wide range of the modern physic-chemical methods. The book provides a comprehensive analysis of experimental results from the point of view of the correlations in the triad synthesis conditions–structurephysico–chemical properties. It combines the results of experimental investigations and original methodology of the description of physical–chemical and electrochemical phenomena at interface surfaces, showing an influence of such phenomena on the applied aspects of the polyaniline and nanocomposites on its basis applications.

Applied Functional Analysis

Applied Functional Analysis
Author: J. Tinsley Oden,Leszek Demkowicz
Publsiher: CRC Press
Total Pages: 610
Release: 2017-12-01
ISBN 10: 149876116X
ISBN 13: 9781498761161
Language: EN, FR, DE, ES & NL

Applied Functional Analysis Book Review:

Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science. This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque measure and integration theory, plus topology with metric spaces. The final two chapters provides readers with an in-depth look at the theory of Banach and Hilbert spaces before concluding with a brief introduction to Spectral Theory. The Third Edition is more accessible and promotes interest and motivation among students to prepare them for studying the mathematical aspects of numerical analysis and the mathematical theory of finite elements.

Computational Mathematics and Variational Analysis

Computational Mathematics and Variational Analysis
Author: Nicholas J. Daras,Themistocles M. Rassias
Publsiher: Springer Nature
Total Pages: 568
Release: 2020-06-06
ISBN 10: 3030446255
ISBN 13: 9783030446253
Language: EN, FR, DE, ES & NL

Computational Mathematics and Variational Analysis Book Review:

This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Functional Analysis in Modern Applied Mathematics

Functional Analysis in Modern Applied Mathematics
Author: Anonim
Publsiher: Academic Press
Total Pages: 322
Release: 1977-08-24
ISBN 10: 9780080956411
ISBN 13: 0080956416
Language: EN, FR, DE, ES & NL

Functional Analysis in Modern Applied Mathematics Book Review:

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Theoretical Numerical Analysis

Theoretical Numerical Analysis
Author: Kendall Atkinson,Weimin Han
Publsiher: Springer Science & Business Media
Total Pages: 576
Release: 2007-06-07
ISBN 10: 0387287698
ISBN 13: 9780387287690
Language: EN, FR, DE, ES & NL

Theoretical Numerical Analysis Book Review:

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.

Functional Analysis and Numerical Mathematics

Functional Analysis and Numerical Mathematics
Author: Lothar Collatz
Publsiher: Academic Press
Total Pages: 494
Release: 2014-05-12
ISBN 10: 1483264009
ISBN 13: 9781483264004
Language: EN, FR, DE, ES & NL

Functional Analysis and Numerical Mathematics Book Review:

Functional Analysis and Numerical Mathematics focuses on the structural changes which numerical analysis has undergone, including iterative methods, vectors, integral equations, matrices, and boundary value problems. The publication first examines the foundations of functional analysis and applications, including various types of spaces, convergence and completeness, operators in Hilbert spaces, vector and matrix norms, eigenvalue problems, and operators in pseudometric and other special spaces. The text then elaborates on iterative methods. Topics include the fixed-point theorem for a general iterative method in pseudometric spaces; special cases of the fixed-point theorem and change of operator; iterative methods for differential and integral equations; and systems of equations and difference methods. The manuscript takes a look at monotonicity, inequalities, and other topics, including monotone operators, applications of Schauder's theorem, matrices and boundary value problems of monotone kind, discrete Chebyshev approximation and exchange methods, and approximation of functions. The publication is a valuable source of data for mathematicians and researchers interested in functional analysis and numerical mathematics.

Tensor Spaces and Numerical Tensor Calculus

Tensor Spaces and Numerical Tensor Calculus
Author: Wolfgang Hackbusch
Publsiher: Springer Nature
Total Pages: 605
Release: 2019-12-16
ISBN 10: 3030355543
ISBN 13: 9783030355548
Language: EN, FR, DE, ES & NL

Tensor Spaces and Numerical Tensor Calculus Book Review:

Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includes new parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra.

An Introduction to Functional Analysis in Computational Mathematics

An Introduction to Functional Analysis in Computational Mathematics
Author: Vi͡acheslav Ivanovich Lebedev
Publsiher: Unknown
Total Pages: 255
Release: 1997
ISBN 10: 9783764338886
ISBN 13: 3764338881
Language: EN, FR, DE, ES & NL

An Introduction to Functional Analysis in Computational Mathematics Book Review:

A text for students who are familiar with advanced and numerical mathematics, initial value problems for differential equations, elements of the theory of functions of real variables, and methods of linear algebra. Covers functional spaces and problems in the theory of approximations, linear operators and functionals, and iteration methods for solving operator equations. Translated and corrected from the second edition of Funktsional 'nyi analiz in vychislitel'naia matematika for which no date is noted. Annotation copyrighted by Book News, Inc., Portland, OR

Introductory Functional Analysis with Applications

Introductory Functional Analysis with Applications
Author: Erwin Kreyszig
Publsiher: John Wiley & Sons
Total Pages: 704
Release: 1991-01-16
ISBN 10: 0471504599
ISBN 13: 9780471504597
Language: EN, FR, DE, ES & NL

Introductory Functional Analysis with Applications Book Review:

KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter HenriCi Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel TOPICS in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel TOPICS In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry

Computational Methods for Precision Oncology

Computational Methods for Precision Oncology
Author: Alessandro Laganà
Publsiher: Springer Nature
Total Pages: 135
Release: 2022
ISBN 10: 303091836X
ISBN 13: 9783030918361
Language: EN, FR, DE, ES & NL

Computational Methods for Precision Oncology Book Review:

Computational Genomics with R

Computational Genomics with R
Author: Altuna Akalin
Publsiher: CRC Press
Total Pages: 440
Release: 2020-12-16
ISBN 10: 1498781861
ISBN 13: 9781498781862
Language: EN, FR, DE, ES & NL

Computational Genomics with R Book Review:

Computational Genomics with R provides a starting point for beginners in genomic data analysis and also guides more advanced practitioners to sophisticated data analysis techniques in genomics. The book covers topics from R programming, to machine learning and statistics, to the latest genomic data analysis techniques. The text provides accessible information and explanations, always with the genomics context in the background. This also contains practical and well-documented examples in R so readers can analyze their data by simply reusing the code presented. As the field of computational genomics is interdisciplinary, it requires different starting points for people with different backgrounds. For example, a biologist might skip sections on basic genome biology and start with R programming, whereas a computer scientist might want to start with genome biology. After reading: You will have the basics of R and be able to dive right into specialized uses of R for computational genomics such as using Bioconductor packages. You will be familiar with statistics, supervised and unsupervised learning techniques that are important in data modeling, and exploratory analysis of high-dimensional data. You will understand genomic intervals and operations on them that are used for tasks such as aligned read counting and genomic feature annotation. You will know the basics of processing and quality checking high-throughput sequencing data. You will be able to do sequence analysis, such as calculating GC content for parts of a genome or finding transcription factor binding sites. You will know about visualization techniques used in genomics, such as heatmaps, meta-gene plots, and genomic track visualization. You will be familiar with analysis of different high-throughput sequencing data sets, such as RNA-seq, ChIP-seq, and BS-seq. You will know basic techniques for integrating and interpreting multi-omics datasets. Altuna Akalin is a group leader and head of the Bioinformatics and Omics Data Science Platform at the Berlin Institute of Medical Systems Biology, Max Delbrück Center, Berlin. He has been developing computational methods for analyzing and integrating large-scale genomics data sets since 2002. He has published an extensive body of work in this area. The framework for this book grew out of the yearly computational genomics courses he has been organizing and teaching since 2015.

A Functional Analysis Framework for Modeling Estimation and Control in Science and Engineering

A Functional Analysis Framework for Modeling  Estimation and Control in Science and Engineering
Author: H.T. Banks
Publsiher: CRC Press
Total Pages: 280
Release: 2012-06-18
ISBN 10: 1439880840
ISBN 13: 9781439880845
Language: EN, FR, DE, ES & NL

A Functional Analysis Framework for Modeling Estimation and Control in Science and Engineering Book Review:

A Modern Framework Based on Time-Tested MaterialA Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering presents functional analysis as a tool for understanding and treating distributed parameter systems. Drawing on his extensive research and teaching from the past 20 years, the author explains how functional

Physical Computation

Physical Computation
Author: Gualtiero Piccinini
Publsiher: OUP Oxford
Total Pages: 336
Release: 2015-07-02
ISBN 10: 0191633429
ISBN 13: 9780191633423
Language: EN, FR, DE, ES & NL

Physical Computation Book Review:

Gualtiero Piccinini articulates and defends a mechanistic account of concrete, or physical, computation. A physical system is a computing system just in case it is a mechanism one of whose functions is to manipulate vehicles based solely on differences between different portions of the vehicles according to a rule defined over the vehicles. The Nature of Computation discusses previous accounts of computation and argues that the mechanistic account is better. Many kinds of computation are explicated, such as digital vs. analog, serial vs. parallel, neural network computation, program-controlled computation, and more. Piccinini argues that computation does not entail representation or information processing although information processing entails computation. Pancomputationalism, according to which every physical system is computational, is rejected. A modest version of the physical Church-Turing thesis, according to which any function that is physically computable is computable by Turing machines, is defended.

Data Driven Computational Methods

Data Driven Computational Methods
Author: John Harlim
Publsiher: Cambridge University Press
Total Pages: 169
Release: 2018-07-31
ISBN 10: 1108472478
ISBN 13: 9781108472470
Language: EN, FR, DE, ES & NL

Data Driven Computational Methods Book Review:

Describes computational methods for parametric and nonparametric modeling of stochastic dynamics. Aimed at graduate students, and suitable for self-study.

Descriptive Theory of Sets and Functions Functional Analysis in Semi ordered Spaces

Descriptive Theory of Sets and Functions  Functional Analysis in Semi ordered Spaces
Author: L.V. Kantorovich
Publsiher: CRC Press
Total Pages: 384
Release: 1996-02-19
ISBN 10: 9782884490122
ISBN 13: 2884490124
Language: EN, FR, DE, ES & NL

Descriptive Theory of Sets and Functions Functional Analysis in Semi ordered Spaces Book Review:

This book presents articles of L.V. Kantorovich on the descriptive theory of sets and function and on functional analysis in semi-ordered spaces, to demonstrate the unity of L.V. Kantorovich's creative research. It also includes two papers on the "extension of Hilbert space".