Modern Problems in Applied Analysis

Modern Problems in Applied Analysis
Author: Piotr Drygaś
Publisher: Birkhäuser
Total Pages: 223
Release: 2018-03-21
Genre: Mathematics
ISBN: 3319726404

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
Author: Roderick Melnik
Publisher: Springer
Total Pages: 437
Release: 2017-09-05
Genre: Mathematics
ISBN: 1493969692

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 Analysis

Applied Analysis
Author: Cornelius Lanczos
Publisher: Courier Corporation
Total Pages: 576
Release: 1988-01-01
Genre: Mathematics
ISBN: 048665656X

Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.

Applied Analysis by the Hilbert Space Method

Applied Analysis by the Hilbert Space Method
Author: Samuel S. Holland
Publisher: Courier Corporation
Total Pages: 578
Release: 2012-05-04
Genre: Mathematics
ISBN: 0486139298

Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.

Applied Systems Analysis

Applied Systems Analysis
Author: F. P. Tarasenko
Publisher: CRC Press
Total Pages: 275
Release: 2020-08-04
Genre: Technology & Engineering
ISBN: 1000088979

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.

A Passage to Modern Analysis

A Passage to Modern Analysis
Author: William J. Terrell
Publisher: American Mathematical Soc.
Total Pages: 638
Release: 2019-10-21
Genre: Education
ISBN: 1470451352

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.

Foundations of Modern Analysis

Foundations of Modern Analysis
Author: Avner Friedman
Publisher: Courier Corporation
Total Pages: 276
Release: 1982-01-01
Genre: Mathematics
ISBN: 9780486640624

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.

Modern Applied Statistics with S-PLUS

Modern Applied Statistics with S-PLUS
Author: William N. Venables
Publisher: Springer Science & Business Media
Total Pages: 562
Release: 2013-11-11
Genre: Mathematics
ISBN: 1475727194

A guide to using the power of S-PLUS to perform statistical analyses, providing both an introduction to the program and a course in modern statistical methods. Readers are assumed to have a basic grounding in statistics, thus the book is intended for would-be users, as well as students and researchers using statistics. Throughout, the emphasis is on presenting practical problems and full analyses of real data sets, with many of the methods discussed being modern approaches to topics such as linear and non-linear regression models, robust and smooth regression methods, survival analysis, multivariate analysis, tree-based methods, time series, spatial statistics, and classification. This second edition is intended for users of S-PLUS 3.3, or later, and covers both Windows and UNIX. It treats the recent developments in graphics and new statistical functionality, including bootstraping, mixed effects linear and non-linear models, factor analysis, and regression with autocorrelated errors. The authors have written several software libraries which enhance S-PLUS, and these, plus all the datasets used, are available on the Internet.

Applied Analysis of Composite Media

Applied Analysis of Composite Media
Author: Piotr Drygas
Publisher: Woodhead Publishing
Total Pages: 372
Release: 2019-10-22
Genre: Computers
ISBN: 0081026706

Applied Analysis of Composite Media: Analytical and Computational Approaches presents formulas and techniques that can used to study 2D and 3D problems in composites and random porous media. The main strength of this book is its broad range of applications that illustrate how these techniques can be applied to investigate elasticity, viscous flow and bacterial motion in composite materials. In addition to paying attention to constructive computations, the authors have also included information on codes via a designated webpage. This book will be extremely useful for postgraduate students, academic researchers, mathematicians and industry professionals who are working in structured media.