Applied Analysis

Applied Analysis

Author: John K. Hunter

Publisher: World Scientific

Published: 2001

Total Pages: 460

ISBN-13: 9789810241919

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This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor. The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.


Applied Analysis

Applied Analysis

Author: Cornelius Lanczos

Publisher: Courier Corporation

Published: 1988-01-01

Total Pages: 576

ISBN-13: 048665656X

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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

Published: 2012-05-04

Total Pages: 578

ISBN-13: 0486139298

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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.


Analysis for Applied Mathematics

Analysis for Applied Mathematics

Author: Ward Cheney

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 455

ISBN-13: 1475735596

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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.


Applied Thematic Analysis

Applied Thematic Analysis

Author: Greg Guest

Publisher: SAGE

Published: 2012

Total Pages: 321

ISBN-13: 1412971675

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This book provides step-by-step instructions on how to analyze text generated from in-depth interviews and focus groups, relating predominantly to applied qualitative studies. The book covers all aspects of the qualitative data analysis process, employing a phenomenological approach which has a primary aim of describing the experiences and perceptions of research participants. Similar to Grounded Theory, the authors' approach is inductive, content-driven, and searches for themes within textual data.


Harmonic and Applied Analysis

Harmonic and Applied Analysis

Author: Stephan Dahlke

Publisher: Birkhäuser

Published: 2015-09-12

Total Pages: 268

ISBN-13: 3319188631

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This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics. This intertwining of ideas is considered starting from the theory of unitary group representations and leading to the construction of very efficient schemes for the analysis of multidimensional data. After an introductory chapter surveying the scientific significance of classical and more advanced multiscale methods, chapters cover such topics as An overview of Lie theory focused on common applications in signal analysis, including the wavelet representation of the affine group, the Schrödinger representation of the Heisenberg group, and the metaplectic representation of the symplectic group An introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spaces Microlocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional data Mathematical techniques to construct optimal data representations for a number of signal types, with a focus on the optimal approximation of functions governed by anisotropic singularities. A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented. Harmonic and Applied Analysis: From Groups to Signals is aimed at graduate students and researchers in the areas of harmonic analysis and applied mathematics, as well as at other applied scientists interested in representations of multidimensional data. It can also be used as a textbook for graduate courses in applied harmonic analysis.​


Applied Analysis of the Navier-Stokes Equations

Applied Analysis of the Navier-Stokes Equations

Author: Charles R. Doering

Publisher: Cambridge University Press

Published: 1995

Total Pages: 236

ISBN-13: 9780521445689

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This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.


Applied Algebra and Functional Analysis

Applied Algebra and Functional Analysis

Author: Anthony N. Michel

Publisher: Courier Corporation

Published: 1993-01-01

Total Pages: 514

ISBN-13: 048667598X

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"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.


Applied Missing Data Analysis

Applied Missing Data Analysis

Author: Craig K. Enders

Publisher: Guilford Press

Published: 2010-04-23

Total Pages: 401

ISBN-13: 1606236393

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Walking readers step by step through complex concepts, this book translates missing data techniques into something that applied researchers and graduate students can understand and utilize in their own research. Enders explains the rationale and procedural details for maximum likelihood estimation, Bayesian estimation, multiple imputation, and models for handling missing not at random (MNAR) data. Easy-to-follow examples and small simulated data sets illustrate the techniques and clarify the underlying principles. The companion website includes data files and syntax for the examples in the book as well as up-to-date information on software. The book is accessible to substantive researchers while providing a level of detail that will satisfy quantitative specialists. This book will appeal to researchers and graduate students in psychology, education, management, family studies, public health, sociology, and political science. It will also serve as a supplemental text for doctoral-level courses or seminars in advanced quantitative methods, survey analysis, longitudinal data analysis, and multilevel modeling, and as a primary text for doctoral-level courses or seminars in missing data.


Applied Analysis of Composite Media

Applied Analysis of Composite Media

Author: Piotr Drygas

Publisher: Woodhead Publishing

Published: 2019-10-22

Total Pages: 372

ISBN-13: 0081026706

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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.