Modern Problems in Applied Analysis

Modern Problems in Applied Analysis PDF Author: Piotr Drygaś
Publisher: Birkhäuser
ISBN: 3319726404
Category : Mathematics
Languages : en
Pages : 223

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Book Description
This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Modern Problems in Applied Analysis

Modern Problems in Applied Analysis PDF Author: Piotr Drygaś
Publisher: Birkhäuser
ISBN: 3319726404
Category : Mathematics
Languages : en
Pages : 223

Get Book Here

Book Description
This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science

Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science PDF Author: Roderick Melnik
Publisher: Springer
ISBN: 1493969692
Category : Mathematics
Languages : en
Pages : 437

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Book Description
This volume is an excellent resource for professionals in various areas of applications of mathematics, modeling, and computational science. It focuses on recent progress and modern challenges in these areas. The volume provides a balance between fundamental theoretical and applied developments, emphasizing the interdisciplinary nature of modern trends and detailing state-of-the-art achievements in Applied Mathematics, Modeling, and Computational Science. The chapters have been authored by international experts in their respective fields, making this book ideal for researchers in academia, practitioners, and graduate students. It can also serve as a reference in the diverse selected areas of applied mathematics, modelling, and computational sciences, and is ideal for interdisciplinary collaborations.

Applied Systems Analysis

Applied Systems Analysis PDF Author: F. P. Tarasenko
Publisher: CRC Press
ISBN: 1000088979
Category : Technology & Engineering
Languages : en
Pages : 288

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Book Description
Applied Systems Analysis: Science and Art of Solving Real-Life Problems Subject Guide: Engineering – Industrial and Manufacturing Any activity is aimed at solving certain problems, which means transferring a system from an existing unsatisfactory problematic state to a desired state. The success or failure of the system depends on how its natural properties were implemented during the planning of improvement and intervention state. This book covers the theory and experience of successfully solving problems in a practical and general way. This book includes a general survey of modern systems analysis; offers several original results; presents the latest methodological and technological results of the theory of systems; introduces achievements; and discusses the transition from the ideology of the machine age to the ideology of the systems age. This book will be of interest to both professionals and academicians.

Analysis for Applied Mathematics

Analysis for Applied Mathematics PDF Author: Ward Cheney
Publisher: Springer Science & Business Media
ISBN: 1475735596
Category : Mathematics
Languages : en
Pages : 455

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Book Description
This well-written book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics. It treats various practical methods for solving problems such as differential equations, boundary value problems, and integral equations. Pragmatic approaches to difficult equations are presented, including the Galerkin method, the method of iteration, Newton’s method, projection techniques, and homotopy methods.

Real Analysis

Real Analysis PDF Author: Gerald B. Folland
Publisher: John Wiley & Sons
ISBN: 1118626397
Category : Mathematics
Languages : en
Pages : 368

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Book Description
An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: * Revised material on the n-dimensional Lebesgue integral. * An improved proof of Tychonoff's theorem. * Expanded material on Fourier analysis. * A newly written chapter devoted to distributions and differential equations. * Updated material on Hausdorff dimension and fractal dimension.

Modern Applied Statistics with S-Plus

Modern Applied Statistics with S-Plus PDF Author: W. N. Venables
Publisher:
ISBN: 9781475731224
Category :
Languages : en
Pages : 516

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Book Description


Foundations of Modern Analysis

Foundations of Modern Analysis PDF Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 9780486640624
Category : Mathematics
Languages : en
Pages : 276

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Book Description
Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.

Lectures on Modern Convex Optimization

Lectures on Modern Convex Optimization PDF Author: Aharon Ben-Tal
Publisher: SIAM
ISBN: 0898714915
Category : Technology & Engineering
Languages : en
Pages : 500

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Book Description
Here is a book devoted to well-structured and thus efficiently solvable convex optimization problems, with emphasis on conic quadratic and semidefinite programming. The authors present the basic theory underlying these problems as well as their numerous applications in engineering, including synthesis of filters, Lyapunov stability analysis, and structural design. The authors also discuss the complexity issues and provide an overview of the basic theory of state-of-the-art polynomial time interior point methods for linear, conic quadratic, and semidefinite programming. The book's focus on well-structured convex problems in conic form allows for unified theoretical and algorithmical treatment of a wide spectrum of important optimization problems arising in applications.

A Passage to Modern Analysis

A Passage to Modern Analysis PDF Author: William J. Terrell
Publisher: American Mathematical Soc.
ISBN: 1470451352
Category : Education
Languages : en
Pages : 638

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Book Description
A Passage to Modern Analysis is an extremely well-written and reader-friendly invitation to real analysis. An introductory text for students of mathematics and its applications at the advanced undergraduate and beginning graduate level, it strikes an especially good balance between depth of coverage and accessible exposition. The examples, problems, and exposition open up a student's intuition but still provide coverage of deep areas of real analysis. A yearlong course from this text provides a solid foundation for further study or application of real analysis at the graduate level. A Passage to Modern Analysis is grounded solidly in the analysis of R and Rn, but at appropriate points it introduces and discusses the more general settings of inner product spaces, normed spaces, and metric spaces. The last five chapters offer a bridge to fundamental topics in advanced areas such as ordinary differential equations, Fourier series and partial differential equations, Lebesgue measure and the Lebesgue integral, and Hilbert space. Thus, the book introduces interesting and useful developments beyond Euclidean space where the concepts of analysis play important roles, and it prepares readers for further study of those developments.

Advances in Applied Analysis

Advances in Applied Analysis PDF Author: Sergei V. Rogosin
Publisher: Springer Science & Business Media
ISBN: 3034804172
Category : Mathematics
Languages : en
Pages : 260

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Book Description
This book contains survey papers based on the lectures presented at the 3rd International Winter School “Modern Problems of Mathematics and Mechanics” held in January 2010 at the Belarusian State University, Minsk. These lectures are devoted to different problems of modern analysis and its applications. An extended presentation of modern problems of applied analysis will enable the reader to get familiar with new approaches of mostly interdisciplinary character. The results discussed are application oriented and present new insight into applied problems of growing importance such as applications to composite materials, anomalous diffusion, and fluid dynamics.