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# Computational Functional Analysis

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**📒Computational Functional Analysis ✍ Ramon E Moore**

**Computational Functional Analysis**

✏Author :

**Ramon E Moore**

✏Publisher :

**Elsevier**

✏Release Date :

**2007-06-01**

✏Pages :

**212**

✏ISBN :

**9780857099433**

✏Available Language :

**English, Spanish, And French**

**Click Here To Get Book**

**✏Computational Functional Analysis Book Summary :** 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

**An Introduction to Functional Analysis in Computational Mathematics**

✏Author :

**V.I. Lebedev**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2012-12-06**

✏Pages :

**256**

✏ISBN :

**9781461241287**

✏Available Language :

**English, Spanish, And French**

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**✏An Introduction to Functional Analysis in Computational Mathematics Book Summary :** 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 Functional Analysis of Noncoding DNA from Human Chromosome 5q31**

✏Author :

**Gabriela Cretu**

✏Publisher :

✏Release Date :

**2000**

✏Pages :

**266**

✏ISBN :

**UCAL:C3446309**

✏Available Language :

**English, Spanish, And French**

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**✏Computational and Functional Analysis of Noncoding DNA from Human Chromosome 5q31 Book Summary :**

**An Introduction to Functional Analysis in Computational Mathematics**

✏Author :

**V.I. Lebedev**

✏Publisher :

**Birkhäuser**

✏Release Date :

**1996-12-01**

✏Pages :

**256**

✏ISBN :

**0817638881**

✏Available Language :

**English, Spanish, And French**

**Click Here To Get Book**

**✏An Introduction to Functional Analysis in Computational Mathematics Book Summary :** 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 Functional Analysis Of Growth Hormone Regulated Genes ✍ Jeffrey Sean Huo**

**Computational and Functional Analysis of Growth Hormone Regulated Genes**

✏Author :

**Jeffrey Sean Huo**

✏Publisher :

✏Release Date :

**2005**

✏Pages :

✏ISBN :

**UOM:39015069242694**

✏Available Language :

**English, Spanish, And French**

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**✏Computational and Functional Analysis of Growth Hormone Regulated Genes Book Summary :**

**📒Computational Functional Analysis ✍ Ramon E. Moore**

**Computational Functional Analysis**

✏Author :

**Ramon E. Moore**

✏Publisher :

✏Release Date :

**1985**

✏Pages :

**156**

✏ISBN :

**0853128146**

✏Available Language :

**English, Spanish, And French**

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**✏Computational Functional Analysis Book Summary :** Anthony Cohen makes a distinct break with earlier approaches to the study of community, which treated the subject in largely structural terms. His view is interpretive and experiential, seeing the community as a cultural field with a complex of symbols whose meanings vary among its members. He delineates a concept applicable to local and ethnic communities through which people see themselves as belonging to society. The emphasis on boundary is sensitive to the circumstances in which people become aware of the implications of belonging to a community, and describes how they symbolise and utilise these boundaries to give substance to their values and identities.

**📒Applied Functional Analysis Second Edition ✍ J. Tinsley Oden**

**Applied Functional Analysis Second Edition**

✏Author :

**J. Tinsley Oden**

✏Publisher :

**CRC Press**

✏Release Date :

**2010-03-02**

✏Pages :

**596**

✏ISBN :

**9781420091953**

✏Available Language :

**English, Spanish, And French**

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**✏Applied Functional Analysis Second Edition Book Summary :** Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text prepares students to learn the variational theory of partial differential equations, distributions and Sobolev spaces, and numerical analysis with an emphasis on finite element methods. While retaining the structure of its best-selling predecessor, this second edition includes revisions of many original examples, along with new examples that often reflect the authors’ own vast research experiences and perspectives. This edition also provides many more exercises as well as a solutions manual for qualifying instructors. Each chapter begins with an extensive introduction and concludes with a summary and historical comments that frequently refer to other sources. New to the Second Edition Completely revised section on lim sup and lim inf New discussions of connected sets, probability, Bayesian statistical inference, and the generalized (integral) Minkowski inequality New sections on elements of multilinear algebra and determinants, the singular value decomposition theorem, the Cauchy principal value, and Hadamard finite part integrals New example of a Lebesgue non-measurable set Ideal for a two-semester course, this proven textbook teaches students how to prove theorems and prepares them for further study of more advanced mathematical topics. It helps them succeed in formulating research questions in a mathematically rigorous way.

**📒Applied Functional Analysis ✍ J. Tinsley Oden**

**Applied Functional Analysis**

✏Author :

**J. Tinsley Oden**

✏Publisher :

**CRC Press**

✏Release Date :

**2017-12-01**

✏Pages :

**610**

✏ISBN :

**9781498761161**

✏Available Language :

**English, Spanish, And French**

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**✏Applied Functional Analysis Book Summary :** 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.

**📒Theoretical Chemistry For Advanced Nanomaterials ✍ Taku Onishi**

**Theoretical Chemistry for Advanced Nanomaterials**

✏Author :

**Taku Onishi**

✏Publisher :

**Springer Nature**

✏Release Date :

**2020-02-03**

✏Pages :

**544**

✏ISBN :

**9789811500060**

✏Available Language :

**English, Spanish, And French**

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**✏Theoretical Chemistry for Advanced Nanomaterials Book Summary :** This book collects recent topics of theoretical chemistry for advanced nanomaterials from the points of view of both computational and experimental chemistry. It is written for computational and experimental chemists, including undergraduate students, who are working with advanced nanomaterials, where collaboration and interplay between computation and experiment are essential. After the general introduction of nanomaterials, several computational approaches are explained in Part II. Each chapter presents not only calculation methods but also concrete calculation results for advanced nanomaterials. Hydride ion conducting nanomaterials, high-k dielectric nanomaterials, and organic electronics are focused on. In Part III, the interplay between computational and experimental approaches is explained. The chapters show calculation results, combined with corresponding experimental data. Dimensionality of nanomaterials, electronic structure of oligomers and nanorods, carbon nanomaterials, and the electronic structure of a nanosized sandwich cluster is looked at carefully. In Part IV, functionality analysis is explained from the point of view of the experimental approach. The emphasis is on the mechanism of photoluminescence and hydrogen generation using silicon nanopowder, the superionic conducting mechanism of glass ceramics, nanoclusters formation on the surface of metal oxides, and the magnetic property of an organic one-dimensional nanochannel. Finally, forthcoming theoretical methods for excited states and quantum dynamics are introduced in Part V.

**📒Functional Analysis And Applications ✍ Abul Hasan Siddiqi**

**Functional Analysis and Applications**

✏Author :

**Abul Hasan Siddiqi**

✏Publisher :

**Springer**

✏Release Date :

**2018-05-04**

✏Pages :

**562**

✏ISBN :

**9789811037252**

✏Available Language :

**English, Spanish, And French**

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**✏Functional Analysis and Applications Book Summary :** This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.

**📒Computational Mathematics And Variational Analysis ✍ Nicholas J. Daras**

**Computational Mathematics and Variational Analysis**

✏Author :

**Nicholas J. Daras**

✏Publisher :

**Springer Nature**

✏Release Date :

**2020-06-06**

✏Pages :

**568**

✏ISBN :

**9783030446253**

✏Available Language :

**English, Spanish, And French**

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**✏Computational Mathematics and Variational Analysis Book Summary :** 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.

**📒Computational Functional Analysis ✍ Ramon E. Moore**

**Computational Functional Analysis**

✏Author :

**Ramon E. Moore**

✏Publisher :

✏Release Date :

**1985**

✏Pages :

**156**

✏ISBN :

**0853128073**

✏Available Language :

**English, Spanish, And French**

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**✏Computational Functional Analysis Book Summary :**

**📒A Friendly Approach To Functional Analysis ✍ Amol Sasane**

**A Friendly Approach to Functional Analysis**

✏Author :

**Amol Sasane**

✏Publisher :

**World Scientific Publishing Company**

✏Release Date :

**2017-02-20**

✏Pages :

**396**

✏ISBN :

**9781786343369**

✏Available Language :

**English, Spanish, And French**

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**✏A Friendly Approach to Functional Analysis Book Summary :** This book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces, compact operators, and distributions. In addition, the book includes selected applications of functional analysis to differential equations, optimization, physics (classical and quantum mechanics), and numerical analysis. The book contains 197 problems, meant to reinforce the fundamental concepts. The inclusion of detailed solutions to all the exercises makes the book ideal also for self-study. A Friendly Approach to Functional Analysis is written specifically for undergraduate students of pure mathematics and engineering, and those studying joint programmes with mathematics. Request Inspection Copy

**📒Computational And Experimental Analysis Of Functional Materials ✍ Oleksandr V. Reshetnyak**

**Computational and Experimental Analysis of Functional Materials**

✏Author :

**Oleksandr V. Reshetnyak**

✏Publisher :

**CRC Press**

✏Release Date :

**2017-03-27**

✏Pages :

**532**

✏ISBN :

**9781771883436**

✏Available Language :

**English, Spanish, And French**

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**✏Computational and Experimental Analysis of Functional Materials Book Summary :** 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.

**📒Functional Analysis ✍ L. V. Kantorovich**

**Functional Analysis**

✏Author :

**L. V. Kantorovich**

✏Publisher :

**Elsevier**

✏Release Date :

**2014-05-18**

✏Pages :

**604**

✏ISBN :

**9781483147741**

✏Available Language :

**English, Spanish, And French**

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**✏Functional Analysis Book Summary :** Functional Analysis examines trends in functional analysis as a mathematical discipline and the ever-increasing role played by its techniques in applications. The theory of topological vector spaces is emphasized, along with the applications of functional analysis to applied analysis. Some topics of functional analysis connected with applications to mathematical economics and control theory are also discussed. Comprised of 18 chapters, this book begins with an introduction to the elements of the theory of topological spaces, the theory of metric spaces, and the theory of abstract measure spaces. Many results are stated without proofs. The discussion then turns to vector spaces, normed spaces, and linear operators and functionals. Subsequent chapters deal with the analytic representation of functionals; sequences of linear operators; the weak topology in a Banach space; and compact and adjoint operators. The last section focuses on functional equations, including the adjoint equation and functional equations of the second kind. This monograph is intended for students specializing in mathematical analysis and computational mathematics.

**📒Elementary Functional Analysis ✍ Charles Swartz**

**Elementary Functional Analysis**

✏Author :

**Charles Swartz**

✏Publisher :

**World Scientific Publishing Company**

✏Release Date :

**2009-07-13**

✏Pages :

**192**

✏ISBN :

**9789813107526**

✏Available Language :

**English, Spanish, And French**

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**✏Elementary Functional Analysis Book Summary :** This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications of functional analysis and explores the development of the basic properties of normed linear, inner product spaces and continuous linear operators defined in these spaces. Though Lebesgue integral is not discussed, the book offers an in-depth knowledge on the numerous applications of the abstract results of functional analysis in differential and integral equations, Banach limits, harmonic analysis, summability and numerical integration. Also covered in the book are versions of the spectral theorem for compact, symmetric operators and continuous, self adjoint operators.

**📒Theoretical Numerical Analysis ✍ Peter Linz**

**Theoretical Numerical Analysis**

✏Author :

**Peter Linz**

✏Publisher :

**Courier Dover Publications**

✏Release Date :

**2019-06-12**

✏Pages :

**240**

✏ISBN :

**9780486833613**

✏Available Language :

**English, Spanish, And French**

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**✏Theoretical Numerical Analysis Book Summary :** Concise text focuses on fundamentals of functional analysis and approximation theory, the major results of theoretical numerical analysis, and specific topics that illustrate the power and usefulness of theoretical analysis. 1979 edition.

**📒Introductory Functional Analysis ✍ B.D. Reddy**

**Introductory Functional Analysis**

✏Author :

**B.D. Reddy**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2013-11-27**

✏Pages :

**472**

✏ISBN :

**9781461205753**

✏Available Language :

**English, Spanish, And French**

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**✏Introductory Functional Analysis Book Summary :** Providing an introduction to functional analysis, this text treats in detail its application to boundary-value problems and finite elements, and is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. It is intended for use by senior undergraduates and graduates in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis will equally find this useful. Offers a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method.

**Novel Computational Methods for Improving Functional Analysis for Long Noisy Reads**

✏Author :

**Nan Du**

✏Publisher :

✏Release Date :

**2019**

✏Pages :

**147**

✏ISBN :

**139288697X**

✏Available Language :

**English, Spanish, And French**

**Click Here To Get Book**

**✏Novel Computational Methods for Improving Functional Analysis for Long Noisy Reads Book Summary :** Single-molecule, real-time sequencing (SMRT) developed by Pacific Biosciences (PacBio) and Nanopore sequencing developed by Oxford Nanopore Technologies (Nanopore) produce longer reads than second-generation sequencing technologies such as Illumina. The increased read length enables PacBio sequencing to close gaps in genome assembly, reveal structural variations, and characterize the intra-species variations. It also holds the promise to decipher the community structure in complex microbial communities because long reads help metagenomic assembly. However, compared with data produced by popular short read sequencing technologies (such as Illumina), PacBio and Nanopore data have a higher sequencing error rate and lower coverage. Therefore, new algorithms are needed to take full advantage of third-generation sequencing technologies. For example, during an alignment-based homology search, insertion or deletion errors in genes will cause frameshifts, which may lead to marginal alignment scores and short alignments. In this case, it is hard to distinguish correct alignments from random alignments, and the ambiguity will incur errors in the structural and functional annotation. Existing frameshift correction tools are designed for data with a much lower error rate, and they are not optimized for PacBio data. As an increasing number of groups are using SMRT, there is an urgent need for dedicated homology search tools for PacBio and Nanopore data. Another example is overlap detection. For both PacBio reads and Nanopore reads, there is still a need to improve the sensitivity of detecting small overlaps or overlaps with high error rates. Addressing this need will enable better assembly for metagenomic data produced by the third-generation sequencing technologies.In this article, we are going to discuss the possible method for homology search and overlap detection for the third-generation sequencing. For overlap detection, we designed and implemented an overlap detection program named GroupK. GroupK takes a group of short kmer hits, which satisfy statistically derived distance constraints to increase the sensitivity of small overlap detection. For the homology search, we designed and implemented a profile homology search tool named Frame-Pro based on the profile hidden Markov model (pHMM) and consensus sequences finding method. However, Frame-pro is still relying on multiple sequence alignment. So we implemented DeepFrame, a deep learning model that predicts the corresponding protein function for third-generation sequencing reads. In the experiment on simulated reads of protein-coding sequences and real reads from the human genome, our model outperforms pHMM-based methods and the deep learning based method. Our model can also reject unrelated DNA reads and achieves higher recall with the precision comparable to the state-of-the-art method.

**📒Functional Analysis And The Feynman Operator Calculus ✍ Tepper Gill**

**Functional Analysis and the Feynman Operator Calculus**

✏Author :

**Tepper Gill**

✏Publisher :

**Springer**

✏Release Date :

**2016-03-30**

✏Pages :

**354**

✏ISBN :

**9783319275956**

✏Available Language :

**English, Spanish, And French**

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**✏Functional Analysis and the Feynman Operator Calculus Book Summary :** This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers.

**📒Theoretical Numerical Analysis ✍ Kendall Atkinson**

**Theoretical Numerical Analysis**

✏Author :

**Kendall Atkinson**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2009-06-12**

✏Pages :

**625**

✏ISBN :

**9781441904584**

✏Available Language :

**English, Spanish, And French**

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**✏Theoretical Numerical Analysis Book Summary :** This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, and boundary integral equations for planar regions. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. Because of the relevance in solving real world problems, multivariable polynomials are playing an ever more important role in research and applications. In this third editon, a new chapter on this topic has been included and some major changes are made on two chapters from the previous edition. In addition, there are numerous minor changes throughout the entire text and new exercises are added. Review of earlier edition: "...the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references." R. Glowinski, SIAM Review, 2003

**📒Functional And Shape Data Analysis ✍ Anuj Srivastava**

**Functional and Shape Data Analysis**

✏Author :

**Anuj Srivastava**

✏Publisher :

**Springer**

✏Release Date :

**2016-10-03**

✏Pages :

**447**

✏ISBN :

**9781493940202**

✏Available Language :

**English, Spanish, And French**

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**✏Functional and Shape Data Analysis Book Summary :** This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference. It is aimed at graduate students in analysis in statistics, engineering, applied mathematics, neuroscience, biology, bioinformatics, and other related areas. The interdisciplinary nature of the broad range of ideas covered—from introductory theory to algorithmic implementations and some statistical case studies—is meant to familiarize graduate students with an array of tools that are relevant in developing computational solutions for shape and related analyses. These tools, gleaned from geometry, algebra, statistics, and computational science, are traditionally scattered across different courses, departments, and disciplines; Functional and Shape Data Analysis offers a unified, comprehensive solution by integrating the registration problem into shape analysis, better preparing graduate students for handling future scientific challenges. Recently, a data-driven and application-oriented focus on shape analysis has been trending. This text offers a self-contained treatment of this new generation of methods in shape analysis of curves. Its main focus is shape analysis of functions and curves—in one, two, and higher dimensions—both closed and open. It develops elegant Riemannian frameworks that provide both quantification of shape differences and registration of curves at the same time. Additionally, these methods are used for statistically summarizing given curve data, performing dimension reduction, and modeling observed variability. It is recommended that the reader have a background in calculus, linear algebra, numerical analysis, and computation.

**📒Functional Analysis Calculus Of Variations And Numerical Methods For Models In Physics And Engineering ✍ Fabio Silva Botelho**

**Functional Analysis Calculus of Variations and Numerical Methods for Models in Physics and Engineering**

✏Author :

**Fabio Silva Botelho**

✏Publisher :

**CRC Press**

✏Release Date :

**2020-11-03**

✏Pages :

**576**

✏ISBN :

**9781000205893**

✏Available Language :

**English, Spanish, And French**

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**✏Functional Analysis Calculus of Variations and Numerical Methods for Models in Physics and Engineering Book Summary :** The book discusses basic concepts of functional analysis, measure and integration theory, calculus of variations and duality and its applications to variational problems of non-convex nature, such as the Ginzburg-Landau system in superconductivity, shape optimization models, dual variational formulations for micro-magnetism and others. Numerical Methods for such and similar problems, such as models in flight mechanics and the Navier-Stokes system in fluid mechanics have been developed through the generalized method of lines, including their matrix finite dimensional approximations. It concludes with a review of recent research on Riemannian geometry applied to Quantum Mechanics and Relativity. The book will be of interest to applied mathematicians and graduate students in applied mathematics. Physicists, engineers and researchers in related fields will also find the book useful in providing a mathematical background applicable to their respective professional areas.

**📒Research In Computational Molecular Biology ✍ Bonnie Berger**

**Research in Computational Molecular Biology**

✏Author :

**Bonnie Berger**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2010-04-20**

✏Pages :

**582**

✏ISBN :

**9783642126826**

✏Available Language :

**English, Spanish, And French**

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**✏Research in Computational Molecular Biology Book Summary :** This volume contains the papers presented at RECOMB 2010: the 14th Annual International Conference on Research in Computational Molecular Biology held in Lisbon, Portugal, during April 25–28, 2010. The RECOMB conference series was started in 1997 by Sorin Istrail, Pavel Pevzner, and Michael Waterman. RECOMB 2010 was hosted by INESC-ID and Instituto Superior Tecnico, or- nized by a committee chaired by Arlindo Oliveira and took place at the Int- national Fair of Lisbon Meeting Centre. This year, 36 papers were accepted for presentation out of 176 submissions. The papers presented were selected by the Program Committee (PC) assisted by a number of external reviewers. Each paper was reviewed by three members of the PC, or by external reviewers, and there was an extensive Web-based discussion over a period of two weeks, leading to the ?nal decisions. RECOMB 2010 also introduced a Highlights Track, in which six additional presentations by senior authors were chosen from papers published in 2009. The RECOMB conferenceseriesiscloselyassociatedwiththeJournalofComputational Biology, which traditionally publishes special issues devoted to presenting full versions of selected conference papers.

**📒Computational And Analytical Mathematics ✍ David H. Bailey**

**Computational and Analytical Mathematics**

✏Author :

**David H. Bailey**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2013-09-15**

✏Pages :

**701**

✏ISBN :

**9781461476214**

✏Available Language :

**English, Spanish, And French**

**Click Here To Get Book**

**✏Computational and Analytical Mathematics Book Summary :** The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presidency (2000–02) as well as his 15 years of editing the CMS book series. Jonathan Borwein’s vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein’s honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop on ‘Computational and Analytical Mathematics’ held in May 2011 in celebration of Dr. Borwein’s 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.

**📒Computational Network Analysis With R ✍ Matthias Dehmer**

**Computational Network Analysis with R**

✏Author :

**Matthias Dehmer**

✏Publisher :

**John Wiley & Sons**

✏Release Date :

**2016-12-12**

✏Pages :

**368**

✏ISBN :

**9783527339587**

✏Available Language :

**English, Spanish, And French**

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**✏Computational Network Analysis with R Book Summary :** This new title in the well-established "Quantitative Network Biology" series includes innovative and existing methods for analyzing network data in such areas as network biology and chemoinformatics. With its easy-to-follow introduction to the theoretical background and application-oriented chapters, the book demonstrates that R is a powerful language for statistically analyzing networks and for solving such large-scale phenomena as network sampling and bootstrapping. Written by editors and authors with an excellent track record in the field, this is the ultimate reference for R in Network Analysis.

**📒Methods Of Modern Mathematical Physics ✍ Michael Reed**

**Methods of Modern Mathematical Physics**

✏Author :

**Michael Reed**

✏Publisher :

**Elsevier**

✏Release Date :

**2012-12-02**

✏Pages :

**344**

✏ISBN :

**9780323155007**

✏Available Language :

**English, Spanish, And French**

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**✏Methods of Modern Mathematical Physics Book Summary :** Methods of Modern Mathematical Physics, Volume I: Functional Analysis discusses the fundamental principles of functional analysis in modern mathematical physics. This book also analyzes the influence of mathematics on physics, such as the Newtonian mechanics used to interpret all physical phenomena. Organized into eight chapters, this volume starts with an overview of the functional analysis in the study of several concrete models. This book then discusses how to generalize the Lebesgue integral to work with functions on the real line and with Borel sets. This text also explores the properties of finite-dimensional vector spaces. Other chapters discuss the normed linear spaces, which have the property of being complete. This monograph further examines the general class of topologized vector spaces and the spaces of distributions that arise in a wide variety of physical problems and functional situations. This book is a valuable resource for mathematicians and physicists. Students and researchers in the field of geometry will also find this book extremely useful.

**📒Computational Intelligence Theory And Applications ✍ Dortmunder Fuzzy-Tage 2001**

**Computational Intelligence Theory and Applications**

✏Author :

**Dortmunder Fuzzy-Tage 2001**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2001-09-26**

✏Pages :

**1003**

✏ISBN :

**9783540427322**

✏Available Language :

**English, Spanish, And French**

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**✏Computational Intelligence Theory and Applications Book Summary :** This book constitutes the refereed proceedings of the International Conference on Computational Intelligence, 7th Dortmund Fuzzy Days, held in Dortmund, Germany, in October 2001. The 71 revised full papers presented were carefully reviewed and selected from an overwhelming number of submissions. Also included are four invited contributions and 24 poster presentations. The papers are devoted to foundational and practical issues in fuzzy systems, soft computing, neural networks, evolutionary algorithms, and machine learning and thus cover the whole range of computational intelligence.

**📒Selected Works Of S L Sobolev ✍ Gennadii V. Demidenko**

**Selected Works of S L Sobolev**

✏Author :

**Gennadii V. Demidenko**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2006-12-15**

✏Pages :

**604**

✏ISBN :

**9780387341491**

✏Available Language :

**English, Spanish, And French**

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**✏Selected Works of S L Sobolev Book Summary :** The topics covered in this volume include Sobolev’s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because they were published in journals that are difficult to access. This is the first appearance in English of many works by this important Russian mathematician.

**An Introduction to Identification Problems Via Functional Analysis**

✏Author :

**A. Lorenzi**

✏Publisher :

**VSP**

✏Release Date :

**2001-01-01**

✏Pages :

**240**

✏ISBN :

**9067643491**

✏Available Language :

**English, Spanish, And French**

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**✏An Introduction to Identification Problems Via Functional Analysis Book Summary :** this monographis based on two courses in computational mathematics and operative research, which were given by the author in recent years to doctorate and PhD students. The text focuses on an aspect of the theory of inverse problems, which is usually referred to as identification of parameters (numbers, vectors, matrices, functions) appearing in differential or integrodifferential equations. The parameters of such equations are either quite unknown or partially unknown, however knowledge about these is usually essential as they describe the intrinsic properties of the material or substance under consideration.