Distributions In The Physical And Engineering Sciences Volume 1

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Distributions in the Physical and Engineering Sciences, Volume 1

Author : Alexander I. Saichev
Publisher : Springer
ISBN 13 : 3319979582
Total Pages : 336 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences, Volume 1 by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences, Volume 1 written by Alexander I. Saichev and published by Springer. This book was released on 2018-08-29 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practitioners and researchers. The goal of the book is to give the reader, specialist and non-specialist usable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. The present, softcover reprint is designed to make this classic textbook available to a wider audience.

Distributions in the Physical and Engineering Sciences, Volume 3

Author : Alexander I. Saichev
Publisher : Birkhäuser
ISBN 13 : 3319925865
Total Pages : 403 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences, Volume 3 by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences, Volume 3 written by Alexander I. Saichev and published by Birkhäuser. This book was released on 2018-08-03 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the authors’ multivolume project, this text considers the theory of distributions from an applied perspective, demonstrating how effective a combination of analytic and probabilistic methods can be for solving problems in the physical and engineering sciences. Volume 1 covered foundational topics such as distributional and fractional calculus, the integral transform, and wavelets, and Volume 2 explored linear and nonlinear dynamics in continuous media. With this volume, the scope is extended to the use of distributional tools in the theory of generalized stochastic processes and fields, and in anomalous fractional random dynamics. Chapters cover topics such as probability distributions; generalized stochastic processes, Brownian motion, and the white noise; stochastic differential equations and generalized random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear, nonlinear, and multiscale anomalous fractional dynamics in continuous media. The needs of the applied-sciences audience are addressed by a careful and rich selection of examples arising in real-life industrial and scientific labs and a thorough discussion of their physical significance. Numerous illustrations generate a better understanding of the core concepts discussed in the text, and a large number of exercises at the end of each chapter expand on these concepts. Distributions in the Physical and Engineering Sciences is intended to fill a gap in the typical undergraduate engineering/physical sciences curricula, and as such it will be a valuable resource for researchers and graduate students working in these areas. The only prerequisites are a three-four semester calculus sequence (including ordinary differential equations, Fourier series, complex variables, and linear algebra), and some probability theory, but basic definitions and facts are covered as needed. An appendix also provides background material concerning the Dirac-delta and other distributions.

Distributions in the Physical and Engineering Sciences

Author : Alexander I. Saichev
Publisher : Birkhäuser
ISBN 13 : 9783030017927
Total Pages : pages
Book Rating : 4.0/5 (179 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences written by Alexander I. Saichev and published by Birkhäuser. This book was released on 2019-02-11 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The goal of the books is to give the reader, specialist and non-specialist usable and modern mathematical tools in their research and analysis. Volume 1 provides detailed coverage of asymptotic methods, including the stationary phase and steepest descent methods, for Fourier and other integral transforms from an application perspective. Other topics covered include fractional calculus, the uncertainty principle, wavelets, and multiresolution analysis. Volume 2 contains an analysis of the three basic types of linear PDEs - elliptic, parabolic, and hyperbolic - as well as chapters on first-order nonlinear PDEs and conservation laws. Nonlinear waves, Burger's equations, KdV equations, and the equations of gas dynamics and porous media are also covered. Volume 3 extends the scope to the use of distributional tools in the theory of generalized stochastic processes and fields, and in anomalous fractional random dynamics. Chapters cover topics such as probability distributions; generalized stochastic processes, Brownian motion, and the white noise; stochastic differential equations and generalized random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear, nonlinear, and multiscale anomalous fractional dynamics in continuous media. The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.

Distributions in the Physical and Engineering Sciences, Volume 2

Author : Alexander I. Saichev
Publisher : Springer Science & Business Media
ISBN 13 : 0817646523
Total Pages : 427 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences, Volume 2 by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences, Volume 2 written by Alexander I. Saichev and published by Springer Science & Business Media. This book was released on 2013-09-05 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis. Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project which endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations--elliptic, parabolic, and hyperbolic--as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface, and Burger’s equations, KdV equations, and the equations of gas dynamics and porous media are also covered. The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. Features · Application oriented exposition of distributional (Dirac delta) methods in the theory of partial differential equations. Abstract formalism is keep to a minimum. · Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book. · Clear explanations, motivations, and illustration of all necessary mathematical concepts.

Distributions in the Physical and Engineering Sciences

Author : Alexander I. Saichev
Publisher : Springer Science & Business Media
ISBN 13 : 1461241588
Total Pages : 346 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Distributions in the Physical and Engineering Sciences by : Alexander I. Saichev

Download or read book Distributions in the Physical and Engineering Sciences written by Alexander I. Saichev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive exposition on analytic methods for solving science and engineering problems, written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.

A First Course in Statistics for Signal Analysis

Author : Wojbor A. Woyczyński
Publisher : Springer Nature
ISBN 13 : 3030209083
Total Pages : 332 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis A First Course in Statistics for Signal Analysis by : Wojbor A. Woyczyński

Download or read book A First Course in Statistics for Signal Analysis written by Wojbor A. Woyczyński and published by Springer Nature. This book was released on 2019-10-04 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, which are explained in a concise, yet rigorous presentation. With abundant practice exercises and thorough explanations, A First Course in Statistics for Signal Analysis is an excellent tool for both teaching students and training laboratory scientists and engineers. Improvements in the second edition include considerably expanded sections, enhanced precision, and more illustrative figures.

Continuous Distributions in Engineering and the Applied Sciences -- Part II

Author : Rajan Chattamvelli
Publisher : Springer Nature
ISBN 13 : 3031024354
Total Pages : 145 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Continuous Distributions in Engineering and the Applied Sciences -- Part II by : Rajan Chattamvelli

Download or read book Continuous Distributions in Engineering and the Applied Sciences -- Part II written by Rajan Chattamvelli and published by Springer Nature. This book was released on 2022-06-01 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second part of our book on continuous statistical distributions. It covers inverse-Gaussian, Birnbaum-Saunders, Pareto, Laplace, central 2, , , Weibull, Rayleigh, Maxwell, and extreme value distributions. Important properties of these distribution are documented, and most common practical applications are discussed. This book can be used as a reference material for graduate courses in engineering statistics, mathematical statistics, and econometrics. Professionals and practitioners working in various fields will also find some of the chapters to be useful. Although an extensive literature exists on each of these distributions, we were forced to limit the size of each chapter and the number of references given at the end due to the publishing plan of this book that limits its size. Nevertheless, we gratefully acknowledge the contribution of all those authors whose names have been left out. Some knowledge in introductory algebra and college calculus is assumed throughout the book. Integration is extensively used in several chapters, and many results discussed in Part I (Chapters 1 to 9) of our book are used in this volume. Chapter 10 is on Inverse Gaussian distribution and its extensions. The Birnbaum-Saunders distribution and its extensions along with applications in actuarial sciences is discussed in Chapter 11. Chapter 12 discusses Pareto distribution and its extensions. The Laplace distribution and its applications in navigational errors is discussed in the next chapter. This is followed by central chi-squared distribution and its applications in statistical inference, bioinformatics and genomics. Chapter 15 discusses Student's distribution, its extensions and applications in statistical inference. The distribution and its applications in statistical inference appears next. Chapter 17 is on Weibull distribution and its applications in geology and reliability engineering. Next two chapters are on Rayleigh and Maxwell distributions and its applications in communications, wind energy modeling, kinetic gas theory, nuclear and thermal engineering, and physical chemistry. The last chapter is on Gumbel distribution, its applications in the law of rare exceedances. Suggestions for improvement are welcome. Please send them to [email protected].

Distribution Theory

Author : Petre Teodorescu
Publisher : John Wiley & Sons
ISBN 13 : 3527653635
Total Pages : 379 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Distribution Theory by : Petre Teodorescu

Download or read book Distribution Theory written by Petre Teodorescu and published by John Wiley & Sons. This book was released on 2013-09-03 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail. They present a general method of approaching problems, pointing out different aspects and difficulties that may occur. With respect to the theory of distributions, only the results and the principle theorems are given as well as some mathematical results. The book also systematically deals with a large number of applications to problems of general Newtonian mechanics, as well as to problems pertaining to the mechanics of deformable solids and physics. Special attention is placed upon the introduction of corresponding mathematical models. Addressed to a wide circle of readers who use mathematical methods in their work: applied mathematicians, engineers in various branches, as well as physicists, while also benefiting students in various fields.

Introductory Statistics and Random Phenomena

Author : Manfred Denker
Publisher : Birkhäuser
ISBN 13 : 3319661523
Total Pages : 509 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Introductory Statistics and Random Phenomena by : Manfred Denker

Download or read book Introductory Statistics and Random Phenomena written by Manfred Denker and published by Birkhäuser. This book was released on 2017-09-16 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook integrates traditional statistical data analysis with new computational experimentation capabilities and concepts of algorithmic complexity and chaotic behavior in nonlinear dynamic systems. This was the first advanced text/reference to bring together such a comprehensive variety of tools for the study of random phenomena occurring in engineering and the natural, life, and social sciences. The crucial computer experiments are conducted using the readily available computer program Mathematica® Uncertain Virtual WorldsTM software packages which optimize and facilitate the simulation environment. Brief tutorials are included that explain how to use the Mathematica® programs for effective simulation and computer experiments. Large and original real-life data sets are introduced and analyzed as a model for independent study. This is an excellent classroom tool and self-study guide. The material is presented in a clear and accessible style providing numerous exercises and bibliographical notes suggesting further reading. Topics and Features Comprehensive and integrated treatment of uncertainty arising in engineering and scientific phenomena – algorithmic complexity, statistical independence, and nonlinear chaotic behavior Extensive exercise sets, examples, and Mathematica® computer experiments that reinforce concepts and algorithmic methods Thorough presentation of methods of data compression and representation Algorithmic approach to model selection and design of experiments Large data sets and 13 Mathematica®-based Uncertain Virtual WorldsTM programs and code This text is an excellent resource for all applied statisticians, engineers, and scientists who need to use modern statistical analysis methods to investigate and model their data. The present, softcover reprint is designed to make this classic textbook available to a wider audience.

Statistical Distributions in Engineering

Author : Karl V. Bury
Publisher : Cambridge University Press
ISBN 13 : 9780521635066
Total Pages : 386 pages
Book Rating : 4.6/5 (35 download)

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Book Synopsis Statistical Distributions in Engineering by : Karl V. Bury

Download or read book Statistical Distributions in Engineering written by Karl V. Bury and published by Cambridge University Press. This book was released on 1999-01-13 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1999 book presents single-variable statistical distributions useful in solving practical problems in a wide range of engineering contexts.

The Theory of the Moiré Phenomenon

Author : Isaac Amidror
Publisher : Springer Science & Business Media
ISBN 13 : 1848821816
Total Pages : 545 pages
Book Rating : 4.8/5 (488 download)

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Book Synopsis The Theory of the Moiré Phenomenon by : Isaac Amidror

Download or read book The Theory of the Moiré Phenomenon written by Isaac Amidror and published by Springer Science & Business Media. This book was released on 2009-03-15 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first edition of this book was published several new developments have been made in the field of the moiré theory. The most important of these concern new results that have recently been obtained on moiré effects between correlated aperiodic (or random) structures, a subject that was completely absent in the first edition, and which appears now for the first time in a second, separate volume. This also explains the change in the title of the present volume, which now includes the subtitle “Volume I: Periodic Layers”. This subtitle has been added to clearly distinguish the present volume from its new companion, which is subtitled “Volume II: Aperiodic Layers”. It should be noted, however, that the new subtitle of the present volume may be somewhat misleading, since this book also treats (in Chapters 10 and 11) moiré effects between repetitive layers, which are, in fact, geometric transformations of periodic layers, that are generally no longer periodic in themselves. The most suitable subtitle for the present volume would therefore have been “Periodic or Repetitive Layers”, but in the end we have decided on the shorter version.

Lévy Processes

Author : Ole E Barndorff-Nielsen
Publisher : Springer Science & Business Media
ISBN 13 : 1461201977
Total Pages : 414 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Lévy Processes by : Ole E Barndorff-Nielsen

Download or read book Lévy Processes written by Ole E Barndorff-Nielsen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Lévy process is a continuous-time analogue of a random walk, and as such, is at the cradle of modern theories of stochastic processes. Martingales, Markov processes, and diffusions are extensions and generalizations of these processes. In the past, representatives of the Lévy class were considered most useful for applications to either Brownian motion or the Poisson process. Nowadays the need for modeling jumps, bursts, extremes and other irregular behavior of phenomena in nature and society has led to a renaissance of the theory of general Lévy processes. Researchers and practitioners in fields as diverse as physics, meteorology, statistics, insurance, and finance have rediscovered the simplicity of Lévy processes and their enormous flexibility in modeling tails, dependence and path behavior. This volume, with an excellent introductory preface, describes the state-of-the-art of this rapidly evolving subject with special emphasis on the non-Brownian world. Leading experts present surveys of recent developments, or focus on some most promising applications. Despite its special character, every topic is aimed at the non- specialist, keen on learning about the new exciting face of a rather aged class of processes. An extensive bibliography at the end of each article makes this an invaluable comprehensive reference text. For the researcher and graduate student, every article contains open problems and points out directions for futurearch. The accessible nature of the work makes this an ideal introductory text for graduate seminars in applied probability, stochastic processes, physics, finance, and telecommunications, and a unique guide to the world of Lévy processes.

Modeling and Forecasting Electricity Loads and Prices

Author : Rafal Weron
Publisher : John Wiley & Sons
ISBN 13 : 0470059990
Total Pages : 192 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Modeling and Forecasting Electricity Loads and Prices by : Rafal Weron

Download or read book Modeling and Forecasting Electricity Loads and Prices written by Rafal Weron and published by John Wiley & Sons. This book was released on 2007-01-30 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an in-depth and up-to-date review of different statistical tools that can be used to analyze and forecast the dynamics of two crucial for every energy company processes—electricity prices and loads. It provides coverage of seasonal decomposition, mean reversion, heavy-tailed distributions, exponential smoothing, spike preprocessing, autoregressive time series including models with exogenous variables and heteroskedastic (GARCH) components, regime-switching models, interval forecasts, jump-diffusion models, derivatives pricing and the market price of risk. Modeling and Forecasting Electricity Loads and Prices is packaged with a CD containing both the data and detailed examples of implementation of different techniques in Matlab, with additional examples in SAS. A reader can retrace all the intermediate steps of a practical implementation of a model and test his understanding of the method and correctness of the computer code using the same input data. The book will be of particular interest to the quants employed by the utilities, independent power generators and marketers, energy trading desks of the hedge funds and financial institutions, and the executives attending courses designed to help them to brush up on their technical skills. The text will be also of use to graduate students in electrical engineering, econometrics and finance wanting to get a grip on advanced statistical tools applied in this hot area. In fact, there are sixteen Case Studies in the book making it a self-contained tutorial to electricity load and price modeling and forecasting.

Handbook of Exponential and Related Distributions for Engineers and Scientists

Author : Nabendu Pal
Publisher : CRC Press
ISBN 13 : 0203490282
Total Pages : 370 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Handbook of Exponential and Related Distributions for Engineers and Scientists by : Nabendu Pal

Download or read book Handbook of Exponential and Related Distributions for Engineers and Scientists written by Nabendu Pal and published by CRC Press. This book was released on 2005-11-21 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The normal distribution is widely known and used by scientists and engineers. However, there are many cases when the normal distribution is not appropriate, due to the data being skewed. Rather than leaving you to search through journal articles, advanced theoretical monographs, or introductory texts for alternative distributions, the Handbook of E

Numerical Fourier Analysis

Author : Gerlind Plonka
Publisher : Springer Nature
ISBN 13 : 3031350057
Total Pages : 676 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Numerical Fourier Analysis by : Gerlind Plonka

Download or read book Numerical Fourier Analysis written by Gerlind Plonka and published by Springer Nature. This book was released on 2023-11-08 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: New technological innovations and advances in research in areas such as spectroscopy, computer tomography, signal processing, and data analysis require a deep understanding of function approximation using Fourier methods. To address this growing need, this monograph combines mathematical theory and numerical algorithms to offer a unified and self-contained presentation of Fourier analysis. The first four chapters of the text serve as an introduction to classical Fourier analysis in the univariate and multivariate cases, including the discrete Fourier transforms, providing the necessary background for all further chapters. Next, chapters explore the construction and analysis of corresponding fast algorithms in the one- and multidimensional cases. The well-known fast Fourier transforms (FFTs) are discussed, as well as recent results on the construction of the nonequispaced FFTs, high-dimensional FFTs on special lattices, and sparse FFTs. An additional chapter is devoted to discrete trigonometric transforms and Chebyshev expansions. The final two chapters consider various applications of numerical Fourier methods for improved function approximation, including Prony methods for the recovery of structured functions. This new edition has been revised and updated throughout, featuring new material on a new Fourier approach to the ANOVA decomposition of high-dimensional trigonometric polynomials; new research results on the approximation errors of the nonequispaced fast Fourier transform based on special window functions; and the recently developed ESPIRA algorithm for recovery of exponential sums, among others. Numerical Fourier Analysis will be of interest to graduate students and researchers in applied mathematics, physics, computer science, engineering, and other areas where Fourier methods play an important role in applications.

Excursions in Harmonic Analysis, Volume 6

Author : Matthew Hirn
Publisher : Springer Nature
ISBN 13 : 3030696375
Total Pages : 444 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Excursions in Harmonic Analysis, Volume 6 by : Matthew Hirn

Download or read book Excursions in Harmonic Analysis, Volume 6 written by Matthew Hirn and published by Springer Nature. This book was released on 2021-09-01 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by leading researchers in the field and pay tribute to John’s many significant and lasting achievements. Covering a wide range of topics in harmonic analysis and related areas, these chapters are organized into four main parts: harmonic analysis, wavelets and frames, sampling and signal processing, and compressed sensing and optimization. An introductory chapter also provides a brief overview of John’s life and mathematical career. This volume will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Convergence and Summability of Fourier Transforms and Hardy Spaces

Author : Ferenc Weisz
Publisher : Birkhäuser
ISBN 13 : 3319568140
Total Pages : 435 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Convergence and Summability of Fourier Transforms and Hardy Spaces by : Ferenc Weisz

Download or read book Convergence and Summability of Fourier Transforms and Hardy Spaces written by Ferenc Weisz and published by Birkhäuser. This book was released on 2017-12-27 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known summability methods, such as the Fejér, Riesz, Weierstrass, Abel, Picard, Bessel and Rogosinski summations. Following on the classic books by Bary (1964) and Zygmund (1968), this is the first book that considers strong summability introduced by current methodology. A further unique aspect is that the Lebesgue points are also studied in the theory of multi-dimensional summability. In addition to classical results, results from the past 20-30 years – normally only found in scattered research papers – are also gathered and discussed, offering readers a convenient “one-stop” source to support their work. As such, the book will be useful for researchers, graduate and postgraduate students alike.