Mathematics and Statistics – Nova Science Publishers https://novapublishers.com Publisher of Books and Journals in Medicine and Health, Science and Technology and Social Sciences Wed, 08 Feb 2023 17:24:08 +0000 en-US hourly 1 https://wordpress.org/?v=6.1.1 https://novapublishers.com/wp-content/uploads/2018/08/cropped-nova-favicon-32x32.jpg Mathematics and Statistics – Nova Science Publishers https://novapublishers.com 32 32 Stochastic Processes: Fundamentals and Emerging Applications https://novapublishers.com/shop/stochastic-processes-fundamentals-and-emerging-applications/ Sun, 04 Dec 2022 15:22:45 +0000 https://novapublishers.com/?post_type=product&p=140908 Mikhail Moklyachuk, D.Sci. – Professor, Department of Probability Theory, Statistics and Actuarial Mathematics, Taras Shevchenko National University of Kyiv, Ukraine Series: Mathematics Research Developments BISAC: MAT029000; MAT029040 DOI: https://doi.org/10.52305/JNEY5805 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.]]> Balancing Economic, Legal, and Social Macrosystems Based on Modelling Decision Processes https://novapublishers.com/shop/balancing-economic-legal-and-social-macrosystems-based-on-modelling-decision-processes/ Thu, 15 Sep 2022 20:32:41 +0000 https://novapublishers.com/?post_type=product&p=122863 Lidiya V. Zhukovskaya, Dr. Sci. (Econ.), Cand. Sci. (Phys.-Math.) – Chief Researcher, Central Economics and Mathematics Institute, the Russian Academy of Sciences, Moscow, Russia Series: Economic Issues, Problems and Perspectives BISAC: BUS069040; MAT011000 DOI: https://doi.org/10.52305/IFWN9299 "In recent years, numerous works have been published, reflecting the results of scientific research on the modeling of decision processes in the socio-economic, socio-legal, and economic-legal systems at the firm (enterprise, organization) level.  However, this book by L.V. Zhukovskaya posed and solved the problem of balancing the economic, legal, and social macrosystems for the first time in literature. The author formalized equilibrium models for these macrosystems using the Golden Rule of ethics as a new economic doctrine. Therefore, the practical and scientific relevance are beyond doubt. The key to the book is developing the concept and models of metasystem equilibrium of the economic, legal, and social macrosystems to determine effective strategic decisions under uncertainty and modeling decision processes at the macro level in the socio-economic sphere. On one hand, this concept allows decomposing the equilibrium problem into several formal problems; on the other hand, it organically integrates the optimization and game-theoretic methods and models developed by the author. Of particular interest to readers may be the concept of equilibrium in sanctions and countersanctions, the author’s economic and legal model, based on the legal definition of sanctions as a measure of responsibility for violating the social contract. This class of problems arises in applications, e.g., environmental regulation of socio-economic ecosystems." - Georgy B. Kleiner, Dr. Sci. (Econ.), Cand. Sci. (Phys.-Math.), Professor, Corresponding Member of the Russian Academy of Sciences, Head of the Mesoeconomics, Microeconomics, and Corporate Economics Research at Central Economics and Mathematics Institute, The Russian Academy of Sciences, Russia  ]]> Record Values and Their Applications for Exponential and Rayleigh Distributions – A Handbook https://novapublishers.com/shop/record-values-and-their-applications-for-exponential-and-rayleigh-distributions-a-handbook/ Mon, 15 Aug 2022 16:10:33 +0000 https://novapublishers.com/?post_type=product&p=141235 Mohammad Ahsanullah - Professor Emeritus, Rider University, Lawrenceville, New Jersey, USA Mohammad Shakil - Professor of Mathematics, Miami Dade College, Hialeah, Florida, USA Series: Mathematics Research Developments BISAC: MAT029000; SCI003000 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. **Order the printed version and SAVE 50% on the e-book with Print+eBook. Price indicated includes shipping**]]> Contemporary Algorithms: Theory and Applications Volume II https://novapublishers.com/shop/contemporary-algorithms-theory-and-applications-volume-ii/ Mon, 25 Jul 2022 16:12:11 +0000 https://novapublishers.com/?post_type=product&p=128177 Christopher I. Argyros - Researcher, Department of Computing and Mathematical Sciences, Cameron University, Lawton, Oklahoma, USA Samundra Regmi - Researcher, Learning Commons, University of North Texas at Dallas, Dallas, TX, USA Ioannis K. Argyros, PhD - Professor, Department of Computing and Mathematical Sciences, Cameron University, Lawton, Oklahoma, USA Santhosh George, PhD - Department of Mathematical and Computational Sciences, National Institute of Technology, Karnataka, India Series: Mathematics Research Developments BISAC: MAT003000; MAT027000 DOI: 10.52305/ZTPR4079 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.]]> Advances in Mathematics Research. Volume 32 https://novapublishers.com/shop/advances-in-mathematics-research-volume-32/ Mon, 13 Jun 2022 20:06:07 +0000 https://novapublishers.com/?post_type=product&p=126634 Albert R. Baswell (Editor) Series: Advances in Mathematics Research BISAC: MAT000000 Chapter 1 is an introduction to meta-regression analysis. The authors demonstrate that meta-regression analysis is a methodological framework that allows modeling and correcting problems of publication bias while explaining the variability of results usually found in social sciences literature. In Chapter 2, a new model order reduction technique for the simplification of the complex large-scale stable linear dynamic systems is presented. Chapter 3 discusses the importance of identifying variables, scales, and methods for the sensory analysis of novel food products. Chapter 4 focuses on structural stability and dynamic quantum models. Chapter 5 is an introduction to linear difference equations. Chapter 6 includes a survey of various measures used in cohort analysis with alternative multifaceted indices used in theory and often by practitioners. The chapter is intended to offer a concise description of these measures and elaborate where and how they may be used in different cohort analysis. In Chapter 7, two mixed initial-boundary value problems describing motions of incompressible Maxwell fluids with power-law dependence of viscosity on the pressure are analytically investigated. In Chapter 8, new permanent solutions for Stokes’ second problem of incompressible burgers fluids and their applications is explored. Next, for the first time, the authors propose the definitions of the fractional sum and fractional difference on non-uniform lattices in two different ways. Chapter 10 focuses on the Carleman linearization method for boundary value problems. In the last chapter, Chapter 11, the authors review some of the recent work on pattern packing, superpatterns, and pattern avoidance when colored or circular patterns/permutations are considered.]]> Contemporary Algorithms: Theory and Applications. Volume I https://novapublishers.com/shop/contemporary-algorithms-theory-and-applications-volume-i/ Sat, 11 Jun 2022 19:49:40 +0000 https://novapublishers.com/?post_type=product&p=127787 Christopher I. Argyros- Professor, Department of Computing and Mathematical Sciences, Cameron University, Lawton, Oklahoma, USA Samundra Regmi - Researcher, Learning Commons, University of North Texas at Dallas, Dallas, TX, USA Ioannis K. Argyros, PhD - Researcher, Department of Computing and Mathematical Sciences, Cameron University, Lawton, Oklahoma, USA Santhosh George, PhD - Department of Mathematical and Computational Sciences, National Institute of Technology, Karnataka, India Series: Mathematics Research Developments BISAC: MAT003000; MAT027000 DOI: 10.52305/IHML8594 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.]]> Advances in Mathematics Research. Volume 31 https://novapublishers.com/shop/advances-in-mathematics-research-volume-31/ Thu, 12 May 2022 13:00:45 +0000 https://novapublishers.com/?post_type=product&p=115435 Albert R. Baswell (Editor) Series: Advances in Mathematics Research BISAC: MAT000000 This volume includes six chapters that detail recent advancements in mathematics research. Chapter One presents various capabilities of the Maple computer algebra system. Chapter Two uses data from the Children of Immigrants Longitudinal Study to demonstrate how to perform multilevel structural equation modeling to investigate if academic aspiration of immigrant youths in late adolescence mediates both the effects of family socioeconomic status and school location at individual and school levels in early adolescence on their later successful college graduation in young adulthood. Chapter Three proves the existence and regularity of solutions in α-norm for some partial functional integrodifferential equations in Banach spaces. Chapter Four discusses a method for obtaining exact solutions of nonlinear partial differential equations. Chapter Five analyzes the linear and nonlinear stability of modons and We-Verkley waves, which are weak solutions of the barotropic vorticity equation. Lastly, Chapter Six provides an explicit representation of the maps interconnecting the sets of solutions to the special double confluent Heun equation and the equation of the RSJ model of overdamped Josephson junction in case of shifted sinusoidal bias.  ]]> Frontiers in Mathematical Modelling Research https://novapublishers.com/shop/frontiers-in-mathematical-modelling-research/ Tue, 26 Apr 2022 13:00:56 +0000 https://novapublishers.com/?post_type=product&p=114931 Series: Mathematics Research Developments BISAC: MAT003000; MAT003000 DOI: https://doi.org/10.52305/VLST3329 Mathematical modeling is the process of trying to precisely define a non-mathematical 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. This book 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. Some Key Features: • Offers analytical and numerical techniques for dynamic models of nonlinear differential equations covering diverse area of applications. • Discusses mathematical modeling and their applications in treating infectious diseases or analyzing their spreading rates • Covers the application of differential equations for analyzing robotic problems in systems and control engineering • Examines fault diagnosis of rotating machines by mathematical model of a rotor bearing-mass system • Focuses on the bioreactor mathematical model to simulate the non-linear behavior of the reactor in chemical process. **Order both the printed version and the e-book together and SAVE!**]]> Numerical Solution of Hyperbolic Differential Equation https://novapublishers.com/shop/numerical-solution-of-hyperbolic-differential-equation/ Fri, 22 Apr 2022 16:28:11 +0000 https://novapublishers.com/?post_type=product&p=116479 Magdi Mounir Shoucri (Author) The application of the method of characteristics for the numerical solution of hyperbolic type partial differential equations will be presented. Especial attention will be given to the numerical solution of the Vlasov equation, which is of fundamental importance in the study of the kinetic theory of plasmas, and to other equations pertinent to plasma physics. Examples will be presented with possible combination with fractional step methods in the case of several dimensions. The methods are quite general and can be applied to different equations of hyperbolic type in the field of mathematical physics. Examples for the application of the method of characteristics to fluid equations will be presented, for the numerical solution of the shallow water equations and for the numerical solution of the equations of the incompressible ideal magnetohydrodynamic (MHD) flows in plasmas.]]> Mathematical Modeling of the Learning Curve and its Practical Applications https://novapublishers.com/shop/mathematical-modeling-of-the-learning-curve-and-its-practical-applications/ Mon, 04 Apr 2022 13:00:46 +0000 https://novapublishers.com/?post_type=product&p=114882 Series: Mathematics Research Developments BISAC: MAT029030 DOI: https://doi.org/10.52305/LCTU2679 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. **Order both the printed version and the e-book together and SAVE!**]]> Partial Differential Equations: Theory, Numerical Methods and Ill-Posed Problems https://novapublishers.com/shop/partial-differential-equations-theory-numerical-methods-and-ill-posed-problems/ Wed, 16 Feb 2022 15:42:02 +0000 https://novapublishers.com/?post_type=product&p=112582 Michael V. Klibanov (Author) - Professor, Department of Mathematics and Statistics, University of North Carolina, Charlotte, NC, USA Jingzhi Li (Author) - Professor, Department of Mathematics, Southern University of Science and Technology, Shenzhen, China Series: Mathematics Research Developments BISAC: MAT007020 DOI: https://doi.org/10.52305/TTIO3667 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. **Order both the printed version and the e-book together and SAVE!**]]> Emerging Advancements in Mathematical Sciences https://novapublishers.com/shop/emerging-advancements-in-mathematical-sciences/ Tue, 15 Feb 2022 20:36:48 +0000 https://novapublishers.com/?post_type=product&p=114362 Series: Mathematics Research Developments BISAC: MAT000000 DOI: https://doi.org/10.52305/RRIS1719 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. **Order both the printed version and the e-book together and SAVE!**]]>