Applied Analysis

Author: John K. Hunter,Bruno Nachtergaele

Publisher: World Scientific

ISBN: 9789810241919

Category: Mathematics

Page: 439

View: 3766

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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

Author: Cornelius Lanczos

Publisher: Courier Corporation

ISBN: 0486319261

Category: Mathematics

Page: 576

View: 6172

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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

Mathematical Methods in Natural Science

Author: Takashi Suzuki,Takasi Senba

Publisher: World Scientific Publishing Company

ISBN: 1911299549

Category: Mathematics

Page: 532

View: 1802

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This book provides a general introduction to applied analysis; vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, including a catalogue of mathematical theories, such as basic analysis, topological spaces, complex function theory, real analysis, and abstract analysis. This book also uses fundamental ideas of applied mathematics to discuss recent developments in nonlinear science, such as mathematical modeling of reinforced random motion of particles, semiconductor device equation in applied physics, and chemotaxis in biology. Several tools in linear PDE theory, such as fundamental solutions, Perron's method, layer potentials, and iteration scheme, are described, as well as systematic descriptions on the recent study of the blowup of the solution. Contents: Field FormationGeometric ObjectsCalculus of VariationsInfinite-Dimensional AnalysisScatteringRandom Motion of ParticlesLinear PDENonlinear PDE Readership: Mathematics undergraduates.

Applied Analysis by the Hilbert Space Method

An Introduction with Applications to the Wave, Heat, and Schrödinger Equations

Author: Samuel S. Holland

Publisher: Courier Corporation

ISBN: 0486139298

Category: Mathematics

Page: 576

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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.

Handbook of Applied Analysis

Author: Nikolaos S. Papageorgiou,Sophia Th. Kyritsi-Yiallourou

Publisher: Springer Science & Business Media

ISBN: 0387789073

Category: Mathematics

Page: 793

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This handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis. It details many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features make the volume a valuable tool for every researcher working on nonlinear analysis.

Applied Analysis of the Navier-Stokes Equations

Author: Charles R. Doering,J. D. Gibbon

Publisher: Cambridge University Press

ISBN: 9780521445689

Category: Mathematics

Page: 217

View: 9213

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The Navier-Stokes equations are a set of nonlinear partial differential equations that describe the fundamental dynamics of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and mathematical presentation of the Navier-Stokes equations, focusing 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. The goal of the book is to present a mathematically rigorous investigation of the Navier-Stokes equations that is accessible to a broader audience than just the subfields of mathematics to which it has traditionally been restricted. Therefore, results and techniques from nonlinear functional analysis are introduced as needed with an eye toward communicating the essential ideas behind the rigorous analyses. This book is appropriate for graduate students in many areas of mathematics, physics, and engineering.

Applied Analysis of Variance in Behavioral Science

Author: Lynne Edwards

Publisher: CRC Press

ISBN: 9780824788964

Category: Mathematics

Page: 640

View: 537

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A reference devoted to the discussion of analysis of variance (ANOVA) techniques. It presents ANOVA as a research design, a collection of statistical models, an analysis model, and an arithmetic summary of data. Discussion focuses primarily on univariate data, but multivariate generalizations are to

Applied Analyses in Geotechnics

Author: Fethi Azizi

Publisher: CRC Press

ISBN: 9780419253501

Category: Architecture

Page: 776

View: 868

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Innovative and state-of-the-art, using clear illustrations and numerous worked examples, this book explains core, yet highly complex, topics such as critical state modelling, centrifuge modelling, pressuremeter testing and finite element modelling. Applied Analyses in Geotechnics will enable the reader to make informed judgements about appropriate analytical parameters and allow for greater understanding of results and their implications.

Land Value Taxation

An Applied Analysis

Author: William J. McCluskey,Riël C.D. Franzsen

Publisher: Routledge

ISBN: 1351923560

Category: Law

Page: 280

View: 4959

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This study of the strategic, policy and operational characteristics of Land Value Taxation is a unique and original contribution to Elston knowledge. McCluskey and Franzsen provide a clear and detailed synthesis of existing Land Value Taxation systems and address the perceived advantages and disadvantages of such systems. The implications of this work, based on a two-tier analysis of selected countries, will be critical in terms of informing policy makers when contemplating reviews of existing Land Value Taxation systems or its possible introduction. The empirical research underpinning this work has attempted to concisely provide the role of land value systems within the selected case study countries. The work has clearly identified a number of challenges being faced by those countries and jurisdictions that currently utilise land value tax systems. Given these challenges this book is timely in that it provides detailed expositions of property tax systems that are undergoing significant change and reform.

Applied Survey Data Analysis, Second Edition

Author: Steven G. Heeringa,Brady T. West,Patricia A. Berglund

Publisher: CRC Press

ISBN: 1351649302

Category: Mathematics

Page: 590

View: 6234

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Highly recommended by the Journal of Official Statistics, The American Statistician, and other journals, Applied Survey Data Analysis, Second Edition provides an up-to-date overview of state-of-the-art approaches to the analysis of complex sample survey data. Building on the wealth of material on practical approaches to descriptive analysis and regression modeling from the first edition, this second edition expands the topics covered and presents more step-by-step examples of modern approaches to the analysis of survey data using the newest statistical software. Designed for readers working in a wide array of disciplines who use survey data in their work, this book continues to provide a useful framework for integrating more in-depth studies of the theory and methods of survey data analysis. An example-driven guide to the applied statistical analysis and interpretation of survey data, the second edition contains many new examples and practical exercises based on recent versions of real-world survey data sets. Although the authors continue to use Stata for most examples in the text, they also continue to offer SAS, SPSS, SUDAAN, R, WesVar, IVEware, and Mplus software code for replicating the examples on the book’s updated website.

Advances in Applied Analysis

Author: Sergei V. Rogosin,Anna A. Koroleva

Publisher: Springer Science & Business Media

ISBN: 3034804172

Category: Mathematics

Page: 256

View: 4845

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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.

Applied Analysis

Proceedings of a Conference on Applied Analysis, April 19-21, 1996, Baton Rouge, Louisiana

Author: James Robert Dorroh

Publisher: American Mathematical Soc.

ISBN: 0821806734

Category: Mathematics

Page: 284

View: 3787

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This volume contains proceedings from the AMS conference on Applied Analysis held at LSU (Baton Rouge) in April 1996. Topics include partial differential equations, spectral theory, functional analysis and operator theory, complex analysis, numerical analysis and related mathematics. Applications include quantum theory, fluid dynamics, control theory and abstract issues, such as well-posedness, asymptotics, and more. The book presents the scope and depth of the conference and its lectures. The state-of-the-art surveys by Jerry Bona and Fritz Gesztesy contain topics of wide interest. There have been a number of good conferences on related topics, yet this volume offers readers a unique, varied viewpoint. The scope of the material in the book will benefit readers approaching the work from diverse perspectives. It will serve those seeking motivational scientific problems, those interested in techniques and subspecialties and those looking for current results in the field.

Topics in Public Economics

Theoretical and Applied Analysis

Author: Efraim Sadka,Itzhak Zilcha

Publisher: Cambridge University Press

ISBN: 9780521561365

Category: Business & Economics

Page: 344

View: 4751

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The evolving modern world is characterized by two opposing trends: integration and segregation. On the one hand, we witness strong forces for segregation on the basis of nationality, ethnicity, religion, and culture in the former Soviet Union, the former Czechoslovakia, the former Yugoslavia, as well as in Northern Ireland, Spain, and Canada. These forces are quite strong and, in some cases, violent. On the other hand, the European Union and NAFTA represent the tendency for integration motivated primarily by economic considerations (such as gains from trade and scale economies). In fact, these opposing trends can be explained by the concepts developed in modern club theory, local public finance, and international trade.

Lecture Notes on Applied Analysis

Author: Roderick Wong

Publisher: World Scientific Publishing Company

ISBN: 9813107669

Category: Mathematics

Page: 304

View: 7122

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There are several subjects in analysis that are frequently used in applied mathematics, theoretical physics and engineering sciences, such as complex variable, ordinary differential equations, special functions, asymptotic methods, integral transforms and distribution theory. However, for graduate students or upper-level undergraduate students who are not going to specialize in these areas, there is no need for them to study these subjects in great depth. Instead, it would probably be more beneficial for them to have an introduction to these topics so that when the need arises, they know what approach to take. With this in mind, this set of lecture notes has been written for a one-semester course. Sufficient details have also been included to make it sufficiently adaptable for self-study. There are in total six chapters with each covering only a few topics. Furthermore, the chapters are all self-contained. The prerequisites for the readers of this book are advanced calculus, a first course in ordinary differential equations and elementary complex variable.

Applied Functional Analysis

Author: D.H. Griffel

Publisher: Courier Corporation

ISBN: 0486141322

Category: Mathematics

Page: 390

View: 1991

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This introductory text examines applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Covers distribution theory, Banach spaces, Hilbert space, spectral theory, Frechet calculus, Sobolev spaces, more. 1985 edition.

Applied Analysis

Author: A.M. Krall

Publisher: Springer Science & Business Media

ISBN: 9400947488

Category: Mathematics

Page: 561

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Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin', van Gu!ik. 'g The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma. coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Fluids and Waves

Recent Trends in Applied Analysis : Research Conference, May 11-13, 2006, the Universtiy of Memphis, Memphis, TN

Author: Fernanda Botelho,Thomas Hagen,James E. Jamison

Publisher: American Mathematical Soc.

ISBN: 0821842471

Category: Mathematics

Page: 287

View: 7825

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This volume contains a series of articles on wave phenomena and fluid dynamics, highlighting recent advances in these two areas of mathematics. The collection is based on lectures presented at the conference ""Fluids and Waves--Recent Trends in Applied Analysis"" and features a rich spectrum of mathematical techniques in analysis and applications to engineering, neuroscience, physics, and biology. The mathematical topics discussed range from partial differential equations, dynamical systems and stochastic processes, to areas of classical analysis. This volume is intended as an introduction to major topics of interest and state-of-the-art analytical research in wave motion and fluid flows. It is helpful to junior mathematicians to stay abreast of new techniques and recent trends in these areas of mathematics. The articles here also provide a unique scientific basis for recent results and new links between current research themes. In summary, this book is a guide for experts in one field to the issues of the other, and will challenge graduate students to investigate these areas of analysis in further detail.

Abstract and Applied Analysis

Proceedings of the International Conference, Hanoi, Vietnam, 13-17 August 2002

Author: N. M. Chuong,L. Nirenberg,Wolfgang Tutschke

Publisher: World Scientific

ISBN: 981238944X

Category: History

Page: 567

View: 458

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This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods.Topics include linear elliptic systems for composite material ? the coefficients may jump from domain to domain; Stochastic Analysis ? many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences

Modern Problems in Applied Analysis

Author: Piotr Drygaś,Sergei Rogosin

Publisher: Birkhäuser

ISBN: 3319726404

Category: Mathematics

Page: 214

View: 2783

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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.