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Selected Topics In Fractional Differential Equations

~~212,00€~~ 190,80€ 10% OFF

 Fractional differential equations (FDEs), owing to their modeling potential in different branches of science and engineering, are attracting the attention of researchers. The concept of a fractional derivative is an extension of the classical derivative to a non-integer order derivative. Various types of fractional derivatives have been introduced, each being a generalization of an earlier version or having a certain advantage in a particular application. The present book consists of seven chapters selected to represent some of the current research trends in the area of fractional differential equations. The first two chapters present overviews of the stability theory of fractional differential equations and fractional-order difference equations, respectively. The next two chapters review existence results for two-point boundary value problems of nabla fractional difference equations and impulsive FDEs with variable moments of impulse, respectively. Chapter 5 introduces finite difference schemes for fractional diffusion equations. The tempered -Hilfer fractional derivative is used in Chapter 6 to study fuzzy random functional integro-differential equations. Chapter 7 deals with applications in FDEs of quantum-symmetric differential operators formulated via Raina functions.
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Bernoulli Scheme In Probability Theory

by Mohammad Ahsanullah

~~125,88€~~ 113,29€ 10% OFF

 The results of the probability theory help us to predict a lot of future events, to estimate our chances to win or to lose in many life situations. The beginning of this theory was connected with the investigations of the so-called Bernoulli random variables. These simplest variables take on only two values, but they describe many situations in our life. Up to now the different random schemes need to get and to use the new results for these two-valued random variables. The authors of this book want to give the readers useful information about the role of Bernoulli distributions in probability, in mathematical statistics and in their different applications.
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Contemporary Algorithms: Theory And Applications. Volume Iv

by Ioannis K. Argyros

~~357,75€~~ 321,98€ 10% OFF

 Due to the explosion of technology, scientific and parallel computing, faster computers have become available. This development simply means that new optimized algorithms should be developed to take advantage of these improvements. There is where this book containing such algorithms comes in handy, with applications in economics, mathematics, biology, chemistry, physics, parallel computing, engineering, and also numerical solution of differential and integral equations. A plethora of problems from diverse disciplines can be converted using mathematical modeling to an equation defined on suitable abstract spaces usually involving the n-dimensional Euclidean space or Hilbert space or Banach Space or even more general spaces. The solution of these equations is sought in closed form. But this is possible only in special cases. That is why researchers and practitioners use algorithms which seem to be the only alternative. This book can be used by senior undergraduate students, graduate students, researchers and practitioners in the aforementioned areas in the classroom or as a reference material. Readers should know the fundamentals of numerical functional analysis, economic theory, and Newtonian physics. Some knowledge of computers and contemporary programming shall be very helpful to the readers.
ENGLISH

Fundamentals Of Boundary Element Methods

~~125,88€~~ 113,29€ 10% OFF

 The boundary element method is one of the most popular methods of numerical modeling for various problems in mechanics and physics. A big attraction for scientists is the possibility to consider not the region for which a problem needs to be solved but to consider the region’s border instead. The boundary element method allows for significant simplification of the decision process, increasing the accuracy and reliability of the results.
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Statistics As A Resource In Medical Research

by Maria Teresa Gomez Garcia

~~424,00€~~ 381,60€ 10% OFF

 This book aims to provide a comprehensive and effective overview of the practical applications of statistics in the realm of healthcare. The primary goal of this book is to furnish readers, particularly medical researchers, and practitioners, with a deep understanding of statistical methods that find utility in healthcare scenarios. The document achieves this by meticulously detailing various statistical techniques and bolstering comprehension through illustrative case studies. These case studies serve as a critical component, allowing readers to delve into the intricacies of each applied technique. The analyses not only elucidate the appropriateness of the methodology but also elucidate the interpretation of results and the soundness of conclusions drawn. To enhance learning, the book presents practical activities that challenge learners to tackle related situations, along with solutions that utilize the powerful and free software, RStudio. The book thoughtfully provides explanations on employing this software and includes the requisite code for resolving each practical scenario. Intended for those who possess a foundational understanding of statistics but seek a deeper grasp of its application in healthcare, the book fills a crucial knowledge gap. While targeted primarily at medical researchers and practitioners, its content and methodologies hold relevance for undergraduates, graduates, and professionals in health sciences. The book commences with a historical overview of statistical methods in public health research and introduces readers to R, an open-source programming language and statistical computing environment. Subsequent chapters explore the design and interpretation of clinical trials, touching on their advantages, limitations, and even delving into Bayesian methods. The discussion extends to the observation and description of specific events in a population using numeric and graphic methods in the context of descriptive statistics. The book also delves into inferential statistics, the assessment of risk, and the identification of prognostic factors, all vital components of modern patient management and decision-making. Epidemiological tools, including spatial data analysis, are expounded upon in the context of health practice. Additionally, survival analysis, a pertinent methodology for investigating event occurrences, is thoroughly examined. Readers are guided through key concepts and practical applications of survival analysis methods in a dedicated chapter. The document culminates with a comprehensive bibliography and a compilation of referenced articles.
ENGLISH

Randomness Revisited Using The V Programming Language

by Soubhik Chakraborty

~~108,65€~~ 97,79€ 10% OFF

 This book aims to educate the practitioner on pseudo-randomness in particular and discusses a few modern algorithms for random number generation. We attempt to describe what it means for a phenomenon to be random, discuss an approach to quantifying the amount of randomness and testing for statistical quality. A software testing suite is introduced to measure the performance and quality of arbitrary pseudo-random number generators, which are implemented in the V programming language.
ENGLISH

J-Shaped Distributions And Their Applications

by Mohammad Ahsanullah

125,88€ + 10% CARD

 In many fields of research, such as, biology, computer science, control theory, economics, engineering, genetics, hydrology, medicine, number theory, statistics, physics, psychology, reliability, risk management, etc., the shapes of probability distributions of non-normal data exhibit J-shaped distributions. The shapes of such distributions may be skewed to the left or the right depending on whether a large percentage of data is at the lower or upper extreme. In this book, we have studied the J-shaped distributions and their applications. As a motivation, we have discussed several real-world examples which can be modeled through J-shaped distribution. We have presented the mathematical formulation of the family of J-shaped probability distributions which was first proposed by Topp and Leone (1955). We also have discussed several variations of Topp-Leone’s family of J-shaped distribution. We have considered the general form of J-shaped distribution and derived its moments independently. We also have discussed other distributional properties of the J-shaped distribution. Some distributional properties of order statistics of the J-shaped distribution such as moment, variance, product moments, and covariance are also provided. To describe the shapes of the J-shaped distribution, the plots of the and for various values of the parameter have been provided. Entropy provides an excellent tool to quantify the amount of information (or uncertainty) contained in a random observation regarding its parent distribution (population). A large value of entropy implies greater uncertainty in the data. As such, Shannon entropy of the J-shaped distribution is provided. The distributional properties of order statistics of the J-shaped distribution such as moment, variance, product moments, and covariance, have also been presented. The numerical computations of these for selected values of the parameters are provided. The distributional properties of the record values of the J-shaped distribution are also investigated. Some discussions on the sum, product and ratio of the J-shaped distributions are provided. Characterizations of the J-shaped distribution are given by using the method of truncated moment, order statistics and record values.
ENGLISH

Understanding Integro-Differential Equations

258,38€ + 10% CARD

 This book presents an overview of the theory of Integro-Differential Equations (InDEs). Beginning with the history of the inception of InDEs, the existence and uniqueness results for the initial value problem of InDEs is given. Next, stability concepts are discussed, including Lyapunov stability and Ulam-Rassias stability. Numerical techniques and operational matrix methods are also introduced. A specific study of second order InDEs of Fredholm InDes in complex plane is presented and an application to Finance is given.
ENGLISH

Contemporary Algorithms: Theory And Applications Volume Iii

by Ioannis K Argyros

304,75€ + 10% CARD

 The book provides different avenues to study algorithms. It also brings new techniques and methodologies to problem solving in computational Sciences, Engineering, Scientific Computing and Medicine (imaging, radiation therapy) to mention a few. A plethora of algorithms which are universally applicable is presented on a sound analytical way. The chapters are written independently of each other, so they can be understood without reading earlier chapters. But some knowledge of Analysis, Linear Algebra and some Computing experience is required. The organization and content of the book cater to senior undergraduate, graduate students, researchers, practitioners, professionals and academicians in the aforementioned disciplines. It can also be used as a reference book and includes numerous references and open problems.
ENGLISH

Characterizations Of Recently Introduced Univariate Continuous Distributions Iv

331,25€ + 10% CARD

 As mentioned in previous monographs (I, II, and III), in designing a stochastic model for a particular modeling problem, an investigator will be vitally interested to know if their model fits the requirements of a specific underlying probability distribution. To this end, the investigator will rely on the characterizations of the selected distribution. Generally speaking, the problem of characterizing a distribution is an important problem in various fields and has recently attracted the attention of many researchers. Consequently, various characterization results have been reported in the literature. These characterizations have been established in many different directions. The present work deals with the characterization of a 800 newly proposed univariate continuous distributions as they became available to the author rather than the order of their importance. This work is a continuation of our previous works (Hamedani and Safavimanesh, 2017), (Hamedani, 2017), (Hamedani and Maadooliat, 2017), (Hamedani, 2018a), (Hamedani, 2018b), (Hamedani 2019) and (Hamedani 2021) on the characterizations of distributions introduced in 2019-2021. The current work and the previous published papers mentioned above may serve as a source of preventing the reinvention and/or duplication of the existing distributions in the future.
ENGLISH

Stochastic Processes: Fundamentals And Emerging Applications

344,50€ + 10% CARD

 Stochastic processes involving random variables are associated with the concepts of uncertainty or chance. Significant research areas in mathematical and applied sciences are devoted to their study. The growing interest of researchers interested in this field is caused by a variety of different applications in many areas like mechanics, acoustics, economics, medicine, biology etc. Thus, understanding the needs of practitioners and simultaneously presenting the new theoretical results is the aim of the book. This book consists of 12 chapters, which describe the basic concepts and properties of random processes.
ENGLISH

Record Values And Their Applications For Exponential And Rayleigh Distributions - A Handbook

by Mohammad Ahsanullah

125,88€ + 10% CARD

 Records arise naturally in many fields of study such as climatology, sports, science, engineering, medicine, traffic, and industry, among others. An observation is called a record if its value is greater than (or analogously, less than) all the preceding observations. The exponential and Rayleigh distribution play pivotal roles in the study of records because of their wide applicability in the modeling and analysis of lifetime data. In this handbook, various properties of record values of univariate exponential and Rayleigh distributions, including most of the recent works, are reviewed. Some new results on mean residual life based on records and the minimum variance linear unbiased estimators of past records from univariate exponential distribution are presented.
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Developments In Chaos And Complexity Research

125,88€ + 10% CARD

 Presents research on artificial life, cellular automata, chaos theory, cognition, complexity theory, synchronisation, fractals, genetic algorithms, information systems, metaphors, neural networks, non-linear dynamics, parallel computation and synergetics.
ENGLISH

Contemporary Algorithms: Theory And Applications Volume Ii

by Christopher I. Argyros

304,75€ + 10% CARD

 The book is a continuation of Volume I with the same title. It provides different avenues to study algorithms. It also brings new techniques and methodologies to problem solving in computational sciences, engineering, scientific computing and medicine (imaging, radiation therapy) to mention a few. A plethora of algorithms are presented in a sound analytical way. The chapters are written independently of each other, so they can be understood without reading earlier chapters. But some knowledge of analysis, linear algebra, and some computing experience are required. The organization and content of the book cater to senior undergraduate, graduate students, researchers, practitioners, professionals, and academicians in the aforementioned disciplines. It can also be used as a reference book and includes numerous references and open problems.
ENGLISH

Contemporary Algorithms: Theory And Applications. Volume I

by Christopher I. Argyros

304,75€ + 10% CARD

 This book provides different avenues to study algorithms. It also brings new techniques and methodologies to problem solving in computational sciences, engineering, scientific computing and medicine (imaging, radiation therapy) to mention a few. A plethora of algorithms which are universally applicable are presented in a sound, analytical way. The chapters are written independently of each other, so they can be understood without reading earlier chapters. But some knowledge of analysis, linear algebra, and some computing experience is required. The organization and content of this book cater to senior undergraduate, graduate students, researchers, practitioners, professionals, and academicians in the aforementioned disciplines. It can also be used as a reference book and includes numerous references and open problems.
ENGLISH

In-Depth Guide To Fixed-Point Theorems

258,38€ + 10% CARD

 This book details fixed point theory, a gripping and wide-ranging field with applications in multifold areas of pure and applied mathematics. The content comprises both theoretical and practical applications. The evolution of the main theorems on the existence and uniqueness of fixed points of maps are presented. Applications covering topological properties, a nonlinear stochastic integral equation of the Hammerstein type, the existence and uniqueness of a common solution of the system of Urysohn integral equations, and the existence of a unique solution for linear equations system are included in this selection. Since the included chapters range from broad elucidations to functional research papers, the book provides readers with a satisfying analysis of the subject as well as a more comprehensive look at some functional recent advances.
ENGLISH

Non-Euclidean Geometry In Materials Of Living And Non-Living Matter In The Space Of The Highest Dimension

by Gennadiy Zhizhin

258,38€ + 10% CARD

 This monograph briefly describes the properties of Euclidean geometry and Riemannian geometry. The significance of the genetic code in connection with the established laws of transmission of hereditary information in the polytope of hereditary information and their sequence in the chain of nucleotides is discussed. Information processes in living matter play a significant role in ensuring the sustainable existence of living organisms. In this regard, the monograph pays great attention to the study of information flows in polytopes of the highest dimension, which are biomolecules. It is shown that the higher the dimensionality of the polytope, the more powerful the information flow it has. This allows living organisms to create reliable protection against harmful external influences (for example, from viruses). In general, the monograph represents a new worldview of nature and life on Earth, which is based on the highest dimension of the molecules of chemical compounds.
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Frontiers In Mathematical Modelling Research

304,75€ + 10% CARD

 Mathematical modeling is the process of trying to precisely define a nonmathematical situation, real-life phenomena of changing world and the relationships between the situations in the language of mathematics, and finding out mathematical formulations or patterns within these situations and phenomena. Mathematical modeling in terms of nonlinear dynamic equations is described as a conversion activity of real problems in a mathematical form. The interactions between the mathematical and biological sciences have been increasing rapidly in recent years. Both traditional topics, such as population and disease modeling, and new ones, such as those in genomics arising from the accumulation of DNA sequence data, have made mathematical modeling in biomathematics an exciting field. The best predictions of numerous individuals and scientific communities have suggested that this growing area will continue to be one of the most dominating and fascinating driving factors to capture the global change phenomena and design a sustainable management for a better world. Frontiers in Mathematical Modelling Research provides the most recent and up-to-date developments in the mathematical analysis of real world problems arising in engineering, biology, economics, geography, planning, sociology, psychology, medicine and epidemiology of infectious diseases. Mathematical modeling and analysis are important, not only to understand disease progression, but also to provide predictions about the evolution of the disease and insights about the dynamics of the transmission rate and the effectiveness of control measures. One of the main focuses of the book is the transmission dynamics of emerging and re-emerging infectious diseases and the implementation of intervention strategies. It also discusses optimal control strategies like pharmaceutical and non-pharmaceutical interventions and their potential effectiveness on the control of infections with the help of compartmental mathematical models in epidemiology. This book also covers a wide variety of topics like dynamic models in robotics, chemical process, biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of diagnosis rate effects and prediction of zoonotic viruses, data-driven dynamic simulation and scenario analysis of the spread of diseases. Frontiers in Mathematical Modelling Research will play a pivotal role as helpful resource for mathematical biologists and ecologists, epidemiologists, epidemic modelers, virologists, researchers, mathematical modelers, robotic scientists and control engineers and others engaged in the analysis of the transmission, prevention, and control of infectious diseases and their impact on human health. It is expected that this self-contained edited book can also serve undergraduate and graduate students, young scholars and early career researchers as the basis for meaningful directives of current trends of research in mathematical biology.
ENGLISH

Mathematical Modeling Of The Learning Curve And Its Practical Applications

by Igor Igorevich Stepanov

258,38€ + 10% CARD

 This book provides a detailed description of the application of mathematical learning curve modeling to analyze the state of learning and memory in humans and animals. The purpose of the book is to enable the readers to apply the knowledge gained in their own research on learning and memory. The authors hope that the readers may achieve success in this field of knowledge, expand and advance mathematical modeling of the learning curve, and that this book may aid in this process. For this, the authors have developed their own mathematical model based on the systems theory and proved its advantage in relation to those previously proposed. The authors developed MS Windows application "Learning Curve Modeling Tool" to help the reader modeling the learning curve from raw learning data in the California Verbal Learning Test, the Rey Auditory Verbal Learning Test, and other similar memory tests. Moreover, the book describes in detail the Windows and Android application "Memory Monitoring Tool", developed by the authors, which is suited well for mathematical modeling of the learning curves. The application aims to reveal initial signs of memory impairment. Besides, the section APPENDIX A describes a Web application - "Learning curve simulator" - developed by the authors for helping readers to get started with practically modeling the learning curve and testing their memory. This application is included in the book. The book will be useful for undergraduate students, graduate students, advanced graduate students, and professors, especially for professors who work on learning in both humans and animals, and those interested in the memory of marijuana users, alcoholics, and those suffering from diabetes and multiple sclerosis, as well as other neurological and psychological diseases and their neurological complications including those after COVID-19.
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Emerging Advancements In Mathematical Sciences

212,00€ + 10% CARD

 The present book of proceedings includes chapters related to the areas of pure, applied and inter-disciplinary mathematics reflecting the potential applications in the domains of sciences and engineering. The main areas include algebra and its applications, analysis and approximation theory, cryptography, computational fluid dynamics, continuum mechanics and vibrations, differential equations and applications, graph theory, fuzzy mathematics and logic, numerical analysis, optimization and its applications, wave propagation, etc. The scientists, engineers, academicians and researchers working in the proposed areas of coding and information theory, computational fluid dynamics, differential equations, fuzzy sets and systems, numerical analysis, optimization, vibrations, etc. looking for new insight and ideas in these areas will be benefitted by the contents of this book. In fact, it will be useful to a large class of readers interested in recent findings related to mathematical sciences and their applications to the diverse domains of knowledge. The book will be a fruitful contribution to all knowledge seekers and researchers in the concerned areas who are looking for new insight and ideas. As it consists of updated research articles on emerging areas of mathematical sciences and their applications, it will be a valued addition to the learning resource centres of various universities, industries, and research and development organizations across the globe.
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Partial Differential Equations: Theory, Numerical Methods And Ill-Posed Problems

by Michael V. Klibanov

304,75€ + 10% CARD

 The laws of nature are written in the language of partial differential equations. Therefore, these equations arise as models in virtually all branches of science and technology. Our goal in this book is to help you to understand what this vast subject is about. The book is an introduction to the field suitable for senior undergraduate and junior graduate students. Introductory courses in partial differential equations (PDEs) are given all over the world in various forms. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to derive exact solutions of some simplified problems. Students who learn about computational techniques in other courses subsequently realize the scope of partial differential equations beyond paper and pencil. Our book is significantly different from the existing ones. We introduce both analytical theory, including the theory of classical solutions and that of weak solutions, and introductory techniques of ill-posed problems with reference to weak solutions. Besides, since computational techniques are commonly available and are currently used in all practical applications of partial differential equations, we incorporate classical finite difference methods and finite element methods in our book.
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Foundations Of Iso-Differential Calculus, Volume I, Second Revised And Updated Edition

by Svetlin G. Georgiev

304,75€ + 10% CARD

 This is the second edition of Foundations of Iso-Differential Calculus, Volume 1, which gives an overview of the development of iso-differential calculus. The second edition introduces a new class of iso-functions, named iso-functions of the fifth kind. Also, further examples, exercises and problems have been added. Chapter 1 reviews Ruggero Maria Santilli's scientific journey, identifying its most important references. Chapter 2 introduces iso-real numbers, some basic functions and their properties. Chapter 3 defines sequences of iso-real numbers and deduces their properties. Chapter 4 gives definitions for five kinds of iso-functions and outlines their properties. Chapter 5 introduces the limits of iso-functions and continuous iso-functions. Chapter 6 presents the first comprehensive study of iso-differential calculus for the specific intent of showing its non-triviality. Chapter 7 reflects integral calculus in the language of iso-mathematics. Lastly, Chapter 8 outlines the isodual iso-mathematics and presents the first comprehensive study of isodual iso-differential calculus.
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Advanced Engineering Mathematics And Analysis. Volume 2

by Rami A Maher

304,75€ + 10% CARD

 The book Advanced Engineering Mathematics and Analysis. Volume 2 offers a straightforward approach to understanding the theory of several engineering tools used to compute, evaluate, and analyze practical problems. It is a mathematic textbook that can be used by students, instructors, and technical carriers; partially, the book also covers signal processing in the related course syllabus. Throughout the four chapters of the book, besides the pure mathematical examples, several practical issues from different fields are modeled and solved to illustrate the relation between the theory and its applications. The book elucidates the subjects in a self-contained style. The reader can select what he wants to read without following a particular sequence of reading. Volume 2 contains four chapters that consist of two units. The first two chapters deal with the continuous and discrete function (signal) analysis that is based on Fourier's series and transforms, and on the z-transform for the discrete functions. The considered functions are periodic as well as aperiodic. The second unit consists of special multivariable functions, specifically, the space vector and the complex functions. Each chapter is ended with exercises that are arranged according to the chapter sections. The readers will find the answers at the end of the book.
ENGLISH

Outliers: Detection And Analysis

by Apra Lipi

125,88€ + 10% CARD

 This brief monograph, in the broadest terms, reviews some of the techniques for outlier detection and analysis. In addition, the effect of the presence of outliers on the statistical parameters such as higher-order moments, quartiles, deciles, percentiles, skewness, and kurtosis, etc. of the distribution are studied. It also discusses the masking and swamping effect of outliers and some primitive methods of detecting these behaviors. Furthermore, some methods of detecting outliers in multivariate data using the clustering algorithm approach are also discussed.
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