Mathematics Books
Nova Science Publishers Inc Advances in Mathematics Research: Volume 24
Book Synopsis
£205.59
Nova Science Publishers Inc Generalized Fractional Programming
Book SynopsisThis monograph is aimed at presenting smooth and unified generalized fractional programming (or a program with a finite number of constraints). Under the current interdisciplinary computer-oriented research environment, these programs are among the most rapidly expanding research areas in terms of its multi-facet applications and empowerment for real world problems that can be handled by transforming them into generalized fractional programming problems. Problems of this type have been applied for the modeling and analysis of a wide range of theoretical as well as concrete, real world, practical problems. More specifically, generalized fractional programming concepts and techniques have found relevance and worldwide applications in approximation theory, statistics, game theory, engineering design (earthquake-resistant design of structures, design of control systems, digital filters, electronic circuits, etc.), boundary value problems, defect minimization for operator equations, geometry, random graphs, graphs related to Newton flows, wavelet analysis, reliability testing, environmental protection planning, decision making under uncertainty, geometric programming, disjunctive programming, optimal control problems, robotics, and continuum mechanics, among others. It is highly probable that among all industries, especially for the automobile industry, robots are about to revolutionize the assembly plants forever. That would change the face of other industries toward rapid technical innovation as well. The main focus of this monograph is to empower graduate students, faculty and other research enthusiasts for more accelerated research advances with significant applications in the interdisciplinary sense without borders. The generalized fractional programming problems have a wide range of real-world problems, which can be transformed in some sort of a generalized fractional programming problem. Consider fractional programs that arise from management decision science; by analyzing system efficiency in an economical sense, it is equivalent to maximizing system efficiency leading to fractional programs with occurring objectives: Maximizing productivity; Maximizing return on investment; Maximizing return/ risk; Minimizing cost/time; Minimizing output/input. The authors envision that this monograph will uniquely present the interdisciplinary research for the global scientific community (including graduate students, faculty, and general readers). Furthermore, some of the new concepts can be applied to duality theorems based on the use of a new class of multi-time, multi-objective, variational problems as well.
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Nova Science Publishers Inc Constrained Bayesian Methods of Hypotheses
Book SynopsisThe problems of one of the basic branches of mathematical statistics statistical hypotheses testing are considered in this book. The intensive development of these methods began at the beginning of the last century. The basic results of modern theory of statistical hypotheses testing belong to the cohort of famous statisticians of this period: Fisher, Neyman-Pearson, Jeffreys and Wald (Fisher, 1925; Neyman and Pearson, 1928, 1933; Jeffreys, 1939; Wald, 1947a,b). Many other bright scientists have brought their invaluable contributions to the development of this theory and practice. As a result of their efforts, many brilliant methods for different suppositions about the character of random phenomena are under study, as well as their applications for solving very complicated and diverse modern problems. Since the mid-1970s, the author of this book has been engaged in the development of the methods of statistical hypotheses testing and their applications for solving practical problems from different spheres of human activity. As a result of this activity, a new approach to the solution of the considered problem has been developed, which was later named the Constrained Bayesian Methods (CBM) of statistical hypotheses testing. Decades were dedicated to the description, investigation and applications of these methods for solving different problems. The results obtained for the current century are collected in seven chapters and three appendices of this book. The short descriptions of existing basic methods of statistical hypotheses testing in relation to different CBM are examined in Chapter One. The formulations and solutions of conventional (unconstrained) and new (constrained) Bayesian problems of hypotheses testing are described in Chapter Two. The investigation of singularities of hypotheses acceptance regions in CBM and new opportunities in hypotheses testing are presented in Chapter Three. Chapter Four is devoted to the investigations for normal distribution. Sequential analysis approaches developed on the basis of CBM for different kinds of hypotheses are described in Chapter Five. The special software developed by the author for statistical hypotheses testing with CBM (along with other known methods) is described in Chapter Six. The detailed experimental investigation of the statistical hypotheses testing methods developed on the basis of CBM and the results of their comparison with other known methods are given in Chapter Seven. The formalizations of absolutely different problems of human activity such as hypotheses testing problems in the solution of which the author was engaged in different periods of his life and some additional information about CBM are given in the appendices. Finally, it should be noted that, for understanding the materials given in the book, the knowledge of the basics of the probability theory and mathematical statistics is necessary. I think that this book will be useful for undergraduate and postgraduate students in the field of mathematics, mathematical statistics, applied statistics and other subfields for studying the modern methods of statistics and their application in research. It will also be useful for researchers and practitioners in the areas of hypotheses testing, as well as the estimation theory who develop these new methods and apply them to the solutions of different problems.
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Nova Science Publishers Inc Mathematical Modeling: Methods, Applications and
Book SynopsisMathematical Modeling: Methods, Applications and Research reviews recent progress in three different propulsion systems which may offer significant advantages for more efficient, compact and adaptive astronautic vehicles in the mid-21st century: swirling nuclear magneto-hydrodynamic propulsion, biomimetic magneto-rheological propulsion and electro-hydrodynamic propulsion systems. The authors introduce an empirical mathematical model. This model has been developed to describe contrast uptake and washout behavior without use of vascular input functions. Though this approach does not require making assumptions about underlying physiology or anatomy, the primary disadvantage of this approach, is that the parameters obtained by this approach do not correspond directly to identifiable physiological or anatomic features. In closing, the authors aim to express how the mathematical modeling is a valid tool for teaching and learning in a competent way and should be incorporated in academic curricula.
£92.79
Nova Science Publishers Inc Mathematical Modeling for the Solution of
Book Synopsis
£195.19
Nova Science Publishers Inc Mathematical Modeling for the Solution of
Book Synopsis
£195.19
Nova Science Publishers Inc Conventional and Fuzzy Regression: Theory and
Book SynopsisConventional and Fuzzy Regression: Theory and Applications aims to present both conventional and fuzzy regression analyses from theoretical aspects followed by application examples. The present book contains eight chapters originating from different scientific fields: River Engineering, Ecohydraulics, Telecommunications, Urban Planning, Transportation Planning, Hydrology, Soil Mechanics and Ecology. The first chapter deals with both crisp (conventional) linear or nonlinear regression and fuzzy linear or nonlinear regression. The application example refers to the relationship between sediment transport rates on the one hand and stream discharge and rainfall intensity on the other hand. In the examined case, the data of both categories are insufficient, and furthermore, the phenomenon is characterized by high complexity and uncertainties. The second chapter refers to the crisp linear or nonlinear regression of six heavy metals between different soft tissues and shells of Telescopium telescopium and its habitat surface sediments. The third chapter describes the crisp linear, multiple linear, nonlinear and Gaussian process regressions. The main application paradigms include the prediction in wireless systems, the predictive analytics in Internet of Things (IoT) based systems, and coding theory focused on extrinsic information scaling in turbo codes. The fourth chapter is confronted with a classic regression model, named Geographically Weighted Regression (GWR), which constitutes a spatial statistics method. The application example of this chapter concerns the housing value, i.e., a spatial phenomenon that is expressed as a function of housing characteristics. The fifth chapter regards fuzzy linear regression based on symmetric triangular fuzzy numbers. The main application of this regression consists of the analysis and forecast of rail passenger demand between two nearby cities. The dependent variable concerns the rail passengers and the independent variables are the Gross Domestic Product (GDP) per capita, the cost of transport by rail and the road transport fuel prices. The sixth chapter treats fuzzy linear regression based on trapezoidal membership functions. In concrete terms, three possible models with trapezoidal fuzzy parameters are described. The main application of this chapter concerns the dependence of rainfall records between neighboring rainfall stations for a small sample of data. The seventh chapter refers to the multivariable crisp and fuzzy linear regression. In the application paradigm, the dependent variable is the strength of fiber reinforced soils, while the independent variables are pertinent to soil, fiber and laboratory tests. The eighth chapter deals with the fuzzy linear regression, with crisp input data and fuzzy output data. In the application example, a relation between the levels of chlorophyll-a in an artificial lake and water temperature, nitrate, total phosphorus and Secchi depth is established. All the above chapters offer a proper foundation of either widely used or new techniques upon regression. Among the new techniques, several innovated fuzzy regression based methodologies are developed for real problems, and useful conclusions are drawn.
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Nova Science Publishers Inc Evolution Equations: Almost Periodicity and
Book SynopsisThis volume of Advances in Evolution Equations is dedicated to the memory of Professor Vasilii Vasilievich Zhikov, an outstanding Russian mathematician. Zhikov''s scientific interest ranged from almost periodic differential equations and topological dynamics to spectral theory of elliptic operators, qualitative theory of parabolic equations, calculus of variations, homogenization, and hydrodynamics, to name a few. Many of his results are now classical.
£195.19
Nova Science Publishers Inc Variational Calculus on Time Scales
Book SynopsisThis book encompasses recent developments of variational calculus for time scales. It is intended for use in the field of variational calculus and dynamic calculus for time scales. It is also suitable for graduate courses in the above fields. This book contains eight chapters, and these chapters are pedagogically organized. This book is specially designed for those who wish to understand variational calculus on time scales without having extensive mathematical background.The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics and solution techniques. The text material of this book is presented in a highly readable and mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques.
£195.19
Nova Science Publishers Inc Statistics: Volume 1 -- The Fundamentals
Book SynopsisWe utilize statistics in our daily lives when we evaluate TV program ratings, predict voting outcomes, prepare stock, predict the amounts of sales, and evaluate the effectiveness of medical treatment. We predict the result not on the basis of personal experience, but on the basis of data. However, the accuracy of the prediction depends on the data, the theory, and the depth of understanding the model. In this book, the author analyzes fundamental models to advanced models without skipping their derivation processes. It is then possible to clearly understand the assumption and approximations used in the model, and hence understand the limitation of the model. We also cover almost all of the subjects in statistics since they are all related to each other. Although this book treats advanced models, people who are not professional in science can easily understand the content since by stepping up the derivation from the fundamental level to the advanced level. The author does hope that readers can understand the meaning of the models in statistics and techniques to reach the final results.
£219.99
Nova Science Publishers Inc Advances in Mathematics Research: Volume 25
Book SynopsisThis volume commences with an introduction to the solution attractor theory of local search systems. Here, a local search algorithm is treated as a discrete dynamical system and its search behavior is studied from the perspective of dynamical systems. Following this, this collection examines the three-year period of 1966 to 1968 when the invariant integral of fracture mechanics became popular, as well as 2015 to 2016 when the neoclassic cosmology based on the invariant integral came about. The authors go on to argue how, in the history of philosophy, the meaning of the term to be has been disputed between two research programmes: The Platonic-Aristotelian and the Pythagorean- Parmenidean-Democritean programmes through Hobbes and Boole up to Peano. The history of science and philosophy goes hand in hand with the question of the nature of mathematical objects. By implication, this was known by the Pythagoreans, even though it was not expressed in the plane of a directly named problem. The authors propose that that strict Platonism in mathematics is not possible, though may be considered in many cases. Also in this collection, perform building-scale analysis is performed, and the use of a convex map is considered. However, partitioning an architectural space is not easy due to its ambiguity. As such, an analysis method is proposed which may decompose the space with moderate granularity. One study sets out to determine the feasibility of using a hidden Markov model to assess whether goats were in estrus. Mammalian behavior has typically been studied based on observations, but direct observation requires substantial time and effort if the number of mammals observed is high or the observations are obtained over a long period of time. Thus, a machine-learning method such as a hidden Markov model may be suitable. A literature review of electric circuits and mathematical models of electric power transmission lines is provided, approaching a classification of the models regarding the nature of their parameters and frequency dependence. These models are important in predicting the voltage and current available, which aids in meeting safety and quality demands. The authors conclude with a summary of some results concerning the problem of computing a proper rational parametrization Q from P. In particular, they present an algorithm that computes a parametrization Q of V such that deg(‑Q) ≤ deg(‑P). If deg(‑Q) = 1, then Q is proper and the reparametrization problem is solved.
£177.59
Nova Science Publishers Inc Concepts, Mathematical Modelling and Applications
Book SynopsisAlthough there are probably enough publications about mechanical circulatory support, they do not seem to address the theoretical aspects with sufficient details. A more detailed knowledge of the interaction between ventricular assist devices (VADs) and the cardiovascular system may help with their clinical management with a view to improve patients outcomes.The aim is a different approach based on the development of critical thinking that may generate further ideas in the context of current developments. We must understand the time-varying elastance theory, which has played a key role in cardiovascular modelling and is often used for numerical/hybrid simulations of a mechanically supported left ventricle. The limitations of the original concept have led to further modifications of the theory and alternative approaches worth exploring. Ventricular interactions have significant implications in cardiac mechanics and it is extremely important to understand their role during VAD support. We must understand the physiology of VAD support and their connection to the circulation. Aortic valve physiology during support with rotary blood pumps has important implications on device performance. The modelling approach to pneumatic pulsatile VADs and their current role is addressed. The principles behind magnetic levitation technology are explained in details in view of its contribution to the progress in this field. Trans-cutaneous external transmission energy system technology has great potential, but the physics behind it does not get explained enough. The potential of a simulation approach in the clinical environment is discussed in relation to optimization of device treatment, outcome prediction and training of medical and nursing staff. These are some of the key concepts being addressed in this book which biomedical engineers, clinicians and academics should hopefully find educational and helpful according to their needs.VADs have become the standard of care for patients in advanced heart failure, but we must understand their strengths and limitations in order to make further progress and achieve their full potential.
£999.99
Nova Science Publishers Inc Statistics: Volume 2 -- Multiple Variable
Book SynopsisWe utilize statistics in our daily life: when we evaluate TV program ratings, predict voting results, prepare stocks, make sales predictions, and when we evaluate the effectiveness of medical treatments, to name a few. We predict the results not on the basis of personal experience, but on the basis of data. However, the accuracy of the prediction depends on the data, the theory, and the depth of understanding of the model used. This book consists of three volumes: The first volume covers the fundamentals of statistics; The second volume discusses multiple variable analyses; and the third volume covers categorical and time dependent data analysis.In this volume, we cover multiple variable analysis. We frequently use many variables in the real world, and its important to study the relationship between these variables. First, we treat correlation and regression as two variables, and then extend to multiple variables. We also review various techniques to approach the many variables in this volume.In this book, we cover fundamental models to advanced models without skipping their derivation processes. We can then clearly understand the assumption and approximations used in each model, and hence, understand the limitations of the models. We also discuss almost all of the subjects in statistics, since they are all related to each other.Although this book includes advanced models, readers who are not statisticians can easily understand the content, since we work our way up the derivations from the fundamental level to advanced levels without skipping any. We do hope that the readers will come away with an understanding of the meaning of the models in statistics, and the techniques used to reach the final results.
£999.99
Nova Science Publishers Inc Statistics -- Volume 3: Categorical and Time
Book SynopsisWe utilize statistics when we evaluate TV program ratings, predict voting outcomes, prepare stock, predict the amount of sales, and evaluate the effectiveness of medical treatment. We want to predict the results not on the basis of personal experience or images, but on the basis of corresponding data. The accuracy of the prediction depends on the data and related theories. It is easy to show input and output data associated with a model without understanding it. However, the models themselves are not perfect, because they contain assumptions and approximations in general. Therefore, the application of the model to the data should be careful. We should know what model we should apply to the data, what parameters are assumed in the model, and what we can state based on the results of the models.Let us consider a coin toss, for example. When we perform a coin toss, we obtain a head or a tail. If we try the toss a coin three times, we may obtain the results of two heads and one tail. Therefore, the probability that we obtain for heads is , and the one that we obtain for tails is . This is a fact and we need not to discuss this any further. It is important to notice that the probability ( ) of getting a head is limited to this trial. Therefore, we can never say that the probability that we obtain for heads with this coin is , in which we state general characteristics of the coin. If we perform the coin toss trial 400 times and obtain heads 300 times, we may be able to state that the probability of obtaining a head is as the characteristics of the coin. What we can state based on the obtained data depends on the sample number. Statistics gives us a clear guideline under which we can state something is based on the data with corresponding error ranges.Mathematics used in statistics is not so easy. It may be tough work to acquire the related techniques. Fortunately, software development makes it easy to obtain results. Therefore, many members who are not specialists in mathematics can perform statistical analysis with these types of software. However, it is important to understand the meaning of the model, that is, why some certain variables are introduced and what they express, and what we can state based on the results. Therefore, understanding mathematics related to the models is invoked to appreciate the results.In this book, the authors treat models from fundamental ones to advanced ones without skipping their derivation processes. It is then possible to clearly understand the assumptions and approximations used in the models, and hence understand the limitation of the models.The authors also cover almost all the subjects in statistics since they are all related to each other, and the mathematical treatments used in a model are frequently used in the other ones.Additionally, many good practical and theoretical books on statistics are presented [1]-[10]. However, these books are oriented to special cases: Fundamental, mathematical, or special subjects. The author also aims to connect theories to practical subjects. He hopes that this book will aid readers in furthering their knowledge of special cases in statistics.
£191.19
Nova Science Publishers Inc New Trends in Fractional Programming
Book SynopsisThis monograph presents smooth, unified, and generalized fractional programming problems, particularly advanced duality models for discrete min-max fractional programming. In the current, interdisciplinary, computer-oriented research environment, these programs are among the most rapidly expanding research areas in terms of their multi-faceted applications including problems ranging from robotics to money market portfolio management. The other more significant aspect of this monograph is in its consideration of minimax fractional integral type problems using higher order sonvexity and sounivexity notions. This is significant for the development of different types of duality models in terms of weak, strong, and strictly converse duality theorems, which can be handled by transforming them into generalized fractional programming problems. Fractional integral type programming is one of the fastest expanding areas of optimization, which feature several types of real-world problems. It can be applied to different branches of engineering (including multi-time multi-objective mechanical engineering problems) as well as to economics, to minimize a ratio of functions between given periods of time. Furthermore, it can be utilized as a resource in order to measure the efficiency or productivity of a system. In these types of problems, the objective function is given as a ratio of functions. For example, we consider a problem that deals with minimizing a maximum of several time-dependent ratios involving integral expressions.Table of ContentsFor more information, please visit our website at:https://novapublishers.com/shop/new-trends-in-fractional-programming/
£163.19
Nova Science Publishers Inc Characterizations of Exponential Distribution by
Book SynopsisExponential distribution is one of the most-used distributions in the theory and practice of statistics. It has several important properties like being memoryless and having a constant hazard rate. The field of characterization is developed in different branches of statistics and applied probability. Ordered random variables are common in various applications in practice. In this book, characterizations of exponential distribution using ordered random variables are presented. Most of the known results as well as many new results are given in this book. The aim of the book is to present various characterizations of exponential distribution based on ordered random variables. The book is written on a lower technical level and requires basic knowledge of mathematics and statistics. Chapter 1 gives some basic properties of exponential distribution. Chapters 2, 3, and 4 give the characterization of exponential distribution based on order statistics, record values, and generalized order statistics.Table of ContentsFor more information, please visit our website at:https://novapublishers.com/shop/characterizations-of-exponential-distribution-by-ordered-random-variables/
£72.24
Nova Science Publishers Inc Next Generation Newton-Type Methods
Book SynopsisThis monograph is aimed at presenting "Next Generation Newton-Type Methods", which outperform most of the iterative methods and offer great research potential for new advanced research on iterative computational methods. This monograph provides readers with a unique presentation on the subject that can be used for interdisciplinary research for the world scientific community at large. The methods presented therein are of great importance and significance since these can be extended, generalised and applied to solving equations defined not only on the real line but on abstract spaces as well. This monograph is a must-read for undergraduate students, graduate students, professors, researchers, and research scientists at all universities and colleges.
£999.99
Nova Science Publishers Inc Advances in Mathematics Research: Volume 26
Book SynopsisThe opening chapter aims to show the importance of mathematical means associated with the role of Pythagorean musical tradition in mathematical and architectural contexts up to the Renaissance. The following chapter proposes a formalism which enables us to separate fields of investigation from the epistemological questions in philosophy and to consider models as parts of hierarchical model families. Continuity of the modulus and phase degrees-of-freedom of molecular electronic states is commented upon in the next section, and the resultant entropy/information descriptors of electronic states, combining the probability and current contributions, are applied to classical issues in chemical-reactivity theory. Additionally, the authors study the categorical generalisations of the Möbius function emphasising the geometric meaning of these constructions, and discuss the relations between the various approaches. The final chapter introduces the PWP method as a technique for measuring indirect influences in complex networks.Table of ContentsFor more information, please visit our website at:https://novapublishers.com/shop/advances-in-mathematics-research-volume-26/
£177.59
Nova Science Publishers Inc Advances in Medicine and Biology: Volume 143
Book SynopsisVolume 143 discusses the main indications of prophylactic oophorectomy, as well as its risks, benefits and impacts on women''s quality of life. Additionally, the authors examine PEGylation, a chemical reaction that allows for the conjugation of a polyethylene-glycol group to another compound. Since the commercial release of adagen, the first approved PEGylated drug, PEGylation has proven to be a successful strategy for the generation of efficient drugs. Following this, this compilation analyses the morphological and functional disorders that may be induced by oxaliplatin. The authors present the possible side effects of this drug upon several organs, as well as the mechanisms that are activated by the nominated drug. The authors also summarise the processes that might be occurring in Werner syndrome cells during DNA replication that then lead to the genomic instability and replication stress and, ultimately, a p38a-induced premature senescence. The results of the authors'' studies combining the granulocyte colony-stimulating factor and enteral sorption therapy are presented in the closing chapter to ameliorate common side effects of such potent and toxic anti-cancer alkylating agents, such as melphalan.
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Nova Science Publishers Inc Estimation of Stochastic Processes with Missing
Book SynopsisWe propose results of the investigation of the problem of mean square optimal estimation of linear functionals constructed from unobserved values of stationary stochastic processes. Estimates are based on observations of the processes with additive stationary noise process. The aim of the book is to develop methods for finding the optimal estimates of the functionals in the case where some observations are missing. Formulas for computing values of the mean-square errors and the spectral characteristics of the optimal linear estimates of functionals are derived in the case of spectral certainty, where the spectral densities of the processes are exactly known. The minimax robust method of estimation is applied in the case of spectral uncertainty, where the spectral densities of the processes are not known exactly while some classes of admissible spectral densities are given. The formulas that determine the least favourable spectral densities and the minimax spectral characteristics of the optimal estimates of functionals are proposed for some special classes of admissible densities.
£163.19
Nova Science Publishers Inc Mathematical Modeling for the Solution of
Book SynopsisThese books are intended for undergraduate, graduate researchers and practitioners in computational sciences, and as reference books for an advanced computational methods course. We have included new results for iterative procedures in abstract spaces general enough for handling inverse problems in various situations related to real life problems through mathematical modeling. These books contain a plethora of updated bibliography and provide comparison between various investigations made in recent years in the field of computational mathematics in the wide sense. Iterative processes are the tools used to generate sequences approximating solutions of equations describing the real life problems stated above and others originating from biosciences, engineering, mathematical economics, mathematical biology, mathematical chemistry, mathematical physics medicine, mathematical programming, and other disciplines. These books also provide, recent advancements on the study of iterative procedures, and can be used as a source from which one can obtain the proper method to use in order to solve a problem. The books require a fundamental background in mathematical statistics, linear algebra and numerical analysis. It may be used as a self-study reference or as a supplementary text for an advanced course in biosciences, engineering and computational sciences.Table of ContentsFor more information, please visit our website at:https://novapublishers.com/shop/mathematical-modeling-for-the-solution-of-equations-and-systems-of-equations-with-applications-volume-iii/
£191.19
Nova Science Publishers Inc Undergraduate Research at Cameron University on
Book SynopsisThis book is intended for undergraduate and graduate researchers and practitioners in computational sciences and as a reference book for an advanced computational methods course. We have included new results for iterative procedures in abstract spaces general enough for handling inverse problems in various situations related to real-life problems through mathematical modeling. The book contains a plethora of updated bibliography and provides comparison between various investigations made in recent years in the field of computational mathematics in the wide sense. Iterative processes are the tools used to generate sequences approximating solutions of equations describing the real-life problems stated above and others originating from Biosciences, Engineering, Mathematical Economics, Mathematical Biology, Mathematical Chemistry, Mathematical Physics Medicine, Mathematical Programming, and other disciplines. The book also provides recent advancements on the study of iterative procedures and can be used as a source from which one can obtain the proper method to use in order to solve a problem. The book requires a fundamental background in Mathematical Statistics, Linear Algebra and Numerical Analysis. It may be used as a self-study reference or as a supplementary text for an advanced course in Biosciences, Engineering and Computational Sciences.Table of ContentsPrefaceMajorizing Sequences for Iterative Methods with ApplicationsOn a Fast Three Step Method for Solving Equations under Weak ConditionsBall Convergence of Two Derivative Free Iterative Methods for Solving Equations under Weak ConditionsQuasi-Newtonian Iterative ProcessesExtended Ball Convergence for a Chebyshev-Halley Family of Methods with One ParameterExtending the Applicability of Newtons Method under the Second Fr'echet-Derivative: Case IExtending the Applicability of Newtons Method Under the k-th (k≥2)Fr'echet Derivaitive: Case IIConvergence under w-Conditions and the k-Fr'echet Derivatives: Case IIIConvergence under w-Conditions on the Second Derivative: Case IVConvergence under Lipschitz Conditions: Case VConvergence under w-Lipschitz Conditions: Case VIConvergence of an Eight Order Four Step MethodA Fast Three Step MethodConvergence of a Method Using Derivatives and Divided DifferencesConvergence of a 2k MethodConvergence of an Eighth Order MethodConvergence for a Method Containing a Sum of Linear OperatorsLocal Convergence of a Two-Step Chebyshev-Type MethodLocal Convergence of a Three Parameter Sixth Order MethodLocal Convergence for a Steffensen-Type Method of Order EightConvergence of a Sixth Order MethodRoots of Polynomials and their ApplicationsHybrid High Convergence Order Iterative MethodsHybrid Newton-Like Methods with High Order of ConvergenceGlossary of Symbols.
£138.39
Nova Science Publishers Inc An Essential Guide to Fuzzy Systems
Book SynopsisThe recent development of the fuzzy set theory has given scientists the opportunity to model under conditions which are vague or not precisely defined, thus succeeding to solve mathematically problems whose statements are expressed in our natural language. Since Zadeh introduced the concept of fuzzy set in 1965, many efforts have been made by specialists for improving its effectiveness to deal with uncertain, ambiguous and vague situations. As a result a series of extensions and generalizations of the ordinary fuzzy set followed and several theories have been proposed as alternatives to the fuzzy set theory. The spectre of applications of those theories has been rapidly expanded during the last years covering physical sciences, economics and management, expert systems like financial planners, diagnostic, meteorological, information-retrieval, control systems, etc, industry, robotics, decision making, programming, medicine, biology, humanities, education and almost all the other sectors of the human activity, including human reasoning itself. The target of the present book is to become an essential guide to fuzzy sets and systems and to related theories. The whole book consists of ten chapters and a shorter commentary. It starts from the history and an introduction to fuzzy sets and logic and from a brief exposition of related theories. The management of the uncertainty in fuzzy environment as well as the evaluation of fuzzy data, frequently appearing nowadays in science and technology, are also studied. Assessment methods are presented using tools such as triangular fuzzy numbers, fuzzy relation equations and the grey system theory. An introduction to the theory of fuzzy graphs, a review of the hybrids of neural networks and fuzzy logic and an introduction to single valued neutrosophic numbers and the granular calculus of single valued neutrosophic functions are also contained among the topics of the book. More specialized topics include the controllability of non linear fuzzy fractional differential systems, the use of fuzzy probability and fuzzy possibility theory for integrating the voltage sag type detection of electrical networks, the presentation of an algorithm to highlight the importance of using statistical methods in pattern recognition, the study of the known from Physics Goursat problem for a fuzzy hyperbolic equation under the fractional Caputo g-derivative for fuzzy-valued multivariable functions an a hybrid fuzzy potential field method for the navigation of Sumo robots. It is hoped that all the above information can provide a framework to the readers of the book that enable them to proceed to a deeper study of fuzzy systems and the related to them theories.
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Nova Science Publishers Inc Evolutionary Processes and Applications
Book SynopsisThis book presents and discusses new developments in the study of evolutionary processes. Topics discussed include evolution of magneto-acoustic waves in isothermal atmosphere, quantum dynamical semigroups, traveling waves in discrete models of biological population, motion of electrorheological fluids, Stacklberg control of a backward linear heat equation, Leray weak solutions of Navier-Stokes equation involving one directional derivative, and initial value boundary problem of an evolutionary p(x)-Laplacian equation.
£113.59
Nova Science Publishers Inc Optimization and Robotic Applications
Book SynopsisOptimisation is the process of obtaining the most appropriate solution by providing certain constraints for the given purpose or purposes. Mathematically, optimisation can be briefly defined as minimising or maximising a function. In short, optimisation is to look for the best. The best found is called "optimum. Optimisation is used to accelerate decision-making processes and to solve real-life problems in an effective, accurate and real-time manner. In addition to the economic benefits, optimisation is also used as an effective method to include the preferences and constraints of customers, employers and employees in the decision process and to improve the quality of the resources in the system. The purpose of optimisation is to achieve the best result, the best goal. Improvements can be made to the current situation or situations to achieve the best result. One of the major shortcomings in optimisation and robotic is the transformation of theoretical knowledge into practice. The purpose of the book is to introduce students, teachers, researchers, and practitioners to new advances in this area. The book content includes theoretical and practical studies prepared with the academic contributions of scientists working in different fields. It was decided to publish each chapter in the book after being examined by the scientific board. As an editor, my duty is to ensure breadth, while the chapter authors treat the delegated chapters with depth. The book is designed for practitioners or researchers of all levels of expertise from novice to expert. Each of the book's individual topics could be considered as a compact, self-contained mini-book right under its title. The approach is to provide a framework and a set of techniques for evaluating and improving optimisation and robotic. It presents a specific set of solutions, mostly obtained from real world projects and experimental studies, for routine applications. It further highlights promising emerging techniques for research and exploration opportunities. The development team of this book wants to thank their colleagues who made contributions to this book by providing continuous encouragements and thorough reviews of the chapters of the book.Table of ContentsPreface; A Source Seeking Algorithm with Application to a Quadcopter Model; Activation Functions for Deep Learning in Smart Manufacturing; A New Approach to Kaiser and Gaussian Window Based Cosine Modulated Filter Bank Design; A Preliminary Study of Region Of Interest Based Functional Connectivity Analysis for Classification of MDD and Healthy Subjects Using Graph Metrics; Investigation of the Effect of Graphene Oxide and Aluminum Oxide Particles on the Mechanical Properties of Glass / Kevlar /Carbon Fiber Reinforced Epoxy Composites; Conversion from Conventional Power Distribution Networks to Smart Power Distribution Networks; A Parametric Study for Artificial Bee Colony Algorithm Used in Vehicle Routing Problem with Simultaneous Delivery and Pickup; Lightweighting Airborne Vehicles Structural Analysis of Carbon Fiber-Reinforced Aluminum and High Altitude Long Endurance New Drone: Octocopter Robot Unmanned Aerial Vehicles (UAVs) Design by Computational Fluid Dynamics and Finite Element Method; Index.
£999.99
Nova Science Publishers Inc Understanding Banach Spaces
Book SynopsisThis book focuses on the study of several properties of Banach spaces applied to diverse problems in functional and numerical analysis. Many problems in science, engineering and other disciplines can be expressed in the form of equations, inequalities or systems of equations using mathematical modelling. In particular, a large number of these problems can be solved using these spaces. A great multitude of examples showing the theoretical application developed appears throughout the work. Researchers and practitioners will find this book very useful as a source book, utilize its methods and also use it as a classroom text for a senior undergraduate or graduate course. It is certainly an excellent must read book.Table of ContentsPrefaceRight Complex Caputo Fractional InequalitiesMixed Complex Fractional InequalitiesAdvanced Complex Fractional Ostrowski InequalitiesImproved Qualitative Analysis for Newtonlike Methods with ROrder of Convergence at Least Three in Banach SpacesDevelopments on the Convergence Region of Newtonlike Methods with Generalized Inverses in Banach SpacesModified NewtonType Compositions for Solving Equations in Banach SpacesBall Convergence for Optimal Derivative Free MethodsBall Convergence for a Derivative Free Method with MemoryWeaker Convergence Conditions of an Iterative Method for Nonlinear IllPosed EquationsBall Convergence Theorem for a Fifth Order Method in Banach SpacesExtended Convergence of KingWernerlike Methods without DerivativesOn an Eighth Order SteffensenType Solver Free of DerivativesLocal Convergence of Osadas Method for Finding Zeros with MultiplicityExpanding the Applicability of an EighthOrder Method in Banach Space under Weak ConditionsLocal Convergence for Three Step Eighth Order Method under Weak ConditionsBall Convergence for a ThreeStep One Parameter Efficient Method in Banach Space under Generalized ConditionsOn the Convergence of NewtonMoser Method from Data at One PointApproximating Inverse Operators by a FourthOrder Iterative MethodInitial Value Problems in Clifford Analysis Using Associated SpacesComputational Approach of Initial Value Problems in Clifford Analysis Using Associated SpacesAsymmetric Convexity and Smoothness: Quantitative Lyapunov Theorems, Lozanovskii Factorisation, Walsh Chaos and Convex DualityCopies of Sequence Spaces and Basic Properties of Anisotropic Function SpacesInterpolation and Bounded Extension of HӧlderLipschitz Mappings between Function, NonCommutative and Other Banach SpacesDifferential Equations with a Small Parameter in a Banach SpaceRole of HansonAntczakType V Invex Functions in Sufficient Efficiency Conditions for Semiinfinite Multiobjective Fractional ProgrammingIndex.
£999.99
Nova Science Publishers Inc Asymptotic Behavior: An Overview
Book SynopsisAsymptotic Behavior: An Overview is designed to provide the reader with an exposition of some aspects of the oscillation theory of first order delay partial dynamic equations on time scales. Oscillation theory of differential equations, originated from the monumental paper of C. Sturm published in 1836, has now been recognized as an important branch of mathematical analysis from both theoretical and practical viewpoints. Asymptotic behavior in the deep Euclidean region of momenta for four-dimensional models of quantum field theory is studied through the system of Schwinger-Dyson equations. This system is truncated by a sequence of n-particle approximations in which n → ∞ goes into the complete system of Schwinger-Dyson equations. Lastly, the authors discuss the exact analytical solution of the Schrödinger equation corresponding to the hydrogen atom confined by four spherical potentials: infinite potential, parabolic potential, constant potential, and dielectric continuum.
£999.99
Nova Science Publishers Inc Mathematical Modeling for the Solution of
Book SynopsisThe exponential growth of technology forces all disciplines to adjust accordingly, so they can meet the demands of a very dynamic world that heavily depends upon it. Therefore, mathematics cannot be an exception. In fact, mathematics should be the first to adjust and in fact it is. In this volume, which is a continuation of the previous three under the same title, we present state-of-the-art iterative methods for solving equations related to concrete problems from diverse areas such as applied mathematics, mathematical: biology, chemistry, economics, physics and also engineering to mention a few. Most of these methods are new and a few are old but still very popular. One major problem with iterative methods is that the convergence domain is small in general. We have introduced a technique that finds a smaller set than before containing the iterates leading to tighter Lipschitz functions than before. This way and under the same computational effort, we derive: weaker sufficient convergence criteria (leading to a wider choice of initial points); tighter error bounds on the distances involved (i.e., fewer iterates are needed to obtain a desired predetermined accuracy), and a more precise information on the location of the solution. These advantages are considered major achievements in computational disciplines. The volume requires knowledge of linear algebra, numerical functional analysis and familiarity with contemporary computing programing. It can be used by researchers, practitioners, senior undergraduate and graduate students as a source material or as a required textbook in the classroom.Table of ContentsPreface; Acknowledgements; A Family of Cubically Convergent Methods; Characterization of Some Newton-Like Methods; Newtons Method Defined on Not Necessarily Bounded Domains; Local Convergence of a Class of Multi-Point SuperHalley Methods; ULMs-Like Method under Weak Convergence Conditions; Newton like Method Free of Bilinear Operators; On the Local Convergence of a Secant like Method; Extending the Applicability of Newtons Method; A Derivative Free Solver in Banach Space; Convergence for Two Optimal Eighth-Order Methods; Local Convergence of an Eighth-Order Method; An Efficient Class of Fourth-Order Jarratt-Type Methods; Unified Local Convergence for a Certain Family of Methods; Ball Convergence for EI15th-Order Variants of Hansenpatricks Family; Extended Local Convergence of Newton-Type Methods; Local Analysis of an Ostrowski-Like Method; Local Convergence for Multipoint Methods; Choosing Good Starting Points for the Convergence of Newtons Method; Local Convergence of a Tri-Parametric Eighth 18DER Method; Ball Convergence for Ostrowski-Like Method with Accelerated Eighth Order Convergence; A Traub-Steffensen-Like Composition for Banach Space Valued Operators; A Novel Traub-Steffensen Three Step Iterative Method Free Of Derivatives; Extended Semilocal Convergence of the NHSS Method under Generalized Lipschitz Condition; A Novel Traub-Steffensen Three Step Iterative Method Free Of Derivatives; Extended Local Convergence of an Efficient Sixth Order Method; Traub-Steffensen-Type Solvers for Nonlinear Equations; Unified Local Convergence for Third Order Methods; Improved Error Bounds for Newton-Type Solvers-I; Improved Error Bounds for Newton-Type Solvers-II; Comparing the Extended Yamamotos Error Bounds for Newtons Solver; Extended Newtons Method for Nonsmooth Operators; Extended and Unified Convergence Theory for Iterative Processes; Comparison of Two Sixth Order Solvers Using the First Derivative; Efficient Third Convergence Order Method for Solving Nonlinear Systems; On the Local Convergence of an Efficient Third Convergence Order Method; Extended Convergence for Newton-Like Solvers; Ball Convergence of Schröder-Like Methods for Multiple Roots; Ball Convergence of Eight Order Methods for Multiple Roots; Fourth Order Newton-Type Methods for Roots of Multiplicity; Gauss-Newton Solvers with Projections for Solving Least Squares Problems; Extended Ball Convergence Results for Newtons Solver under Hölder-Like Conditions; Ball Convergence for Traub-Steffensen-Chebyshev Solver; Extended Ball Convergence of the Gauss-Newton Solver for Injective-Overdetermined Systems of Equations; Extended Ball Convergence for Newton Conditional Gradient Solver; Extended Ball Convergence of the Gauss- Newton-Like Solver for Injective-Verdetermined Systems of Equations; Extended Ball Convergence for Inexact Newton-Like Conditional Gradient Solver; Extended Ball Convergence of the Gauss-Newton Solver; Extended Semi-Local Convergence of the Gauss-Newton Solver for Convex Composite Optimization; Extended Local Convergence Analysis of a Proximal Gauss-Newton Procedure; Extended Local Convergence of the Gauss-Newton Method; Solvers for Problems with Small Divisors; A Two Step Iterative Scheme with a Free Parameter; A Family of Unified High Convergence Order Methods; Three Step Seventh Order Method for Solving Equations; A Unified Family of Jarratt-Like Iterative Methods in Banach Space; Extended Local Convergence for Newton Simpsons 3/8th Solver; On the Harmonic Mean and Midpoint Newtons Solver; Comparing the Local Convergence of Three Newtonmean-Type Solvers; Comparing Two High Convergent Order Methods; Generalized Solvers for Equations; On the Harmonic Mean and Midpoint Newtons Solver-II; Extended Jarratt-Type Solver; Extended Chebyshev-Type Solver without Second Derivatives; Newton-Type Solvers Using Fifth Order Quadrature Formulas; Extending the Local Convergence of an Efficient Sixth Order Method; Increased and Extended Local Convergence for Some Iterative Methods; Extended Newton-Traub-Type Methods; Extended Newton-Traub Methods; Solvers of Convergence Three and Four with a Free Parameter; Extended Fourth Order Weighted Newton Solver; Extended Sixth Order Schemes with Parameters; Extended Newton-Jarratt Scheme; Chebyshev-Halley-Type Methods with Parameters; Ostrowski-Chun Like Schemes with Parametrs; Extended Seventh Order Method with Divided Differences; Derivative-Free Methods 1: Order Six; Derivative-Free Methods II: Order Seven; High-Order and Efficient Solvers in Banach Spaces; Derivative Free Method III: Order Seven; Derivative Free Methods IV: Order Six; Extended Semilocal Convergence of a Sixth Order Jarratt-Type Method in Banach Space; Extended Inexact Gauss-Newton-Like Schemes for Injective Overdetermined Equations; Index.
£209.59
Nova Science Publishers Inc Hot Topics in Linear Algebra
Book SynopsisLinear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces. Systems of linear equations with several unknowns are naturally represented using the formalism of matrices and vectors. So we arrive at the matrix algebra, etc. Linear algebra is central to almost all areas of mathematics. Many ideas and methods of linear algebra were generalised to abstract algebra. Functional analysis studies the infinite-dimensional version of the theory of vector spaces. Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Linear algebra is also used in most sciences and engineering areas because it allows for the modelling of many natural phenomena, and efficiently computes with such models. ''Hot Topics in Linear Algebra'' presents original studies in some areas of the leading edge of linear algebra. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed herein include recent advances in analysis of various dynamical systems based on the Gradient Neural Network; Cramer's rules for quaternion generalized Sylvester-type matrix equations by using noncommutative row-column determinants; matrix algorithms for finding the generalized bisymmetric solution pair of general coupled Sylvester-type matrix equations; explicit solution formulas of some systems of mixed generalised Sylvester-type quaternion matrix equations; new approaches to studying the properties of Hessenberg matrices by using triangular tables and their functions; researching of polynomial matrices over a field with respect to semi-scalar equivalence; mathematical modelling problems in chemistry with applying mixing problems, which the associated MP-matrices; and some visual apps, designed in Scilab, for the learning of different topics of linear algebra.Table of ContentsPreface; Computing Generalized Inverses Using Gradient-Based Dynamical Systems; Cramers Rules for Sylvester-Type Matrix Equations; BICR Algorithm for Computing Generalized Bisymmetric Solutions of General Coupled Matrix Equations; System of Mixed Generalized Sylvester-Type Quaternion Matrix Equations; Hessenberg Matrices: Their Properties and Some Applications; Equivalence of Polynomial Matrices over a Field; Matrices in Chemical Problems Modeled Using Directed Graphs and Multigraphs; Engaging Students in the Learning of Linear Algebra; Index.
£138.39
Nova Science Publishers Inc A Closer Look at Boundary Value Problems
Book SynopsisMany problems encountered in applied mathematics or mathematical physics can be modelled by using differential equations under different boundary conditions. In this regard, linear and nonlinear partial differential equations are often used because of their strong capacity to describe and formulate many real-world problems governed by dynamical phenomena. There are many different methods to solve linear and nonlinear problems arising from different studies in various disciplines. However, due to lack of general existence theorems for establishing solutions, scientists have to seek alternative approaches and methods. In this context, the present work demonstrates different methods and approaches to obtain solutions to some class of differential equations given under different boundary conditions. The present book, where contemporary developments in the area of boundary value problems is shared, can be beneficial to advanced undergraduates, graduate students and researchers who are interested in the area of differential equations.Table of ContentsPreface; Boundary Value Problem of CO2 Production and Transport in Forest Sandy Soil; Boundary Value Problem of Hydrogen Thermal Desorption: Reduction to Fractional Differential Equation; Exact Absorbing Conditions for Initial Boundary Value Problems of Computational Electrodynamics: A Review; Diffraction Boundary Value Problems for Electromagnetic Theory of Inhomogeneous Multilayered Media: Riccati Equation Method; The Linearization Methods as a Basis to Derive the Relaxation and the Shooting Methods; The Existence of Boundary Value Problems of Fifth Painlevè Equation in a Complex Domain; Existence of Solutions for a Steklov Problem with Variable Exponent; On a Class of Kirchhoff Type Problems Involving Critical Exponents and Caffarelli-Kohn-Nirenberg Inequalities; Index.
£138.39
Nova Science Publishers Inc An Introduction to Fuzzy Sets
Book SynopsisAn Introduction to Fuzzy Sets provides a comparison of the quality of life in urban, intermediate and rural NUTS III regions in Portugal, with the main goal of identifying and analysing the necessary and conditions for a high quality of life in those different regions. The authors assess the necessary and sufficient conditions for higher Human Development Index levels, aiming to determine whether the same pattern could be used to explain the happiness index. In order to represent the applications of fuzzy set theory as well as neuro-fuzzy in industry, a literature review of these topics is carried out. As some researchers have efficiently utilized fuzzy logic and neuro-fuzzy, in-depth discussions are provided for stimulating future investigations. Following this, using the L. Zadeh theory of fuzzy sets, the authors consider all types of uncertainties in oil fields and oil production to make a decision as to what model is best in such a fuzzy environment. Additionally, several challenges are explored, such as: the fuzzy random finite difference numerical method, possibilistic uncertainty modelling, and the development of a fuzzy Wilks' theorem to model the hybrid structure of randomness and fuzziness modelling. In closing, a standard fuzzy arithmetic method is used for solving fuzzy equations, as well as for the optimization of fuzzy objectives. The fuzzy variable of the equation is fuzzified using a fuzzy set.Table of ContentsPreface; Quality of Life: Urban versus Rural Analysis Based on Fuzzy Sets Approach; Economically Speaking, Are Happiness and HDI the Same? The Fuzzy-Set Approach; Implementation of Fuzzy Logic and Neuro-Fuzzy in Industry; Lotfi Zadehs Theory of Fuzzy Sets in Decision-Making Process for Oil and Gas Production; Fuzziness-Randomness Modeling of Plasma Disruption in First Wall of Fusion Reactor Using Type I Fuzzy Random Set; Application of a Standard Fuzzy Arithmetic Method; Index.
£62.04
Nova Science Publishers Inc Mathematics for Agricultural and Life Sciences:
Book SynopsisOne of the difficulties that arise in teaching mathematics is related to the identification of the target and the most appropriate teaching methods for the people who are part of it. This aspect, true for all disciplines, applies to mathematics in particular. In fact, for example, an axiomatic approach is certainly suitable for Mathematical, Physical and Engineering Sciences, while students of many applied sciences, such as Agricultural and Life Sciences, need to focus on calculation tools and methodologies useful for their professional development rather than in dealing with the theoretical foundations of mathematics. The peculiarity of this book is not so much in setting classical approach "Theorem: Hypothesis, Thesis" with relative proofs, but in adopting a more pragmatic approach that renounce classical demonstrations, while maintaining a formal coherence in the topics dealt with. In this perspective, considering the approach required by the target to which it is addressed, the objective of this book is to provide methods to studying the variation of a phenomenon and its cumulative effects and consequently the study of the functions and the calculation of integrals respectively. One of the qualifying features is given by a series of completely resolved problems, occupying two-thirds of the volume, in which each mathematical step is detailed to understand "step by step" how to obtain the solution.Table of ContentsPreface; Principles of Set Theory; Real Numbers; Functions of Real Variables; Limit of a Function; Derivative of a Function; Study of a Function: Points of Maximum and Minimum, Points of Inflection; Indefinite Integral; Definite Integral; Calculation of Function Limits; Calculation of Function Derivatives; Problems Related to the Study of Functions; Calculation of Integrals; Index.
£163.19
Nova Science Publishers Inc Contemporary Algorithms for Solving Problems in
Book SynopsisNumerous problems from diverse disciplines can be converted using mathematical modelling 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 seems to be the only alternative. Due to the explosion of technology, scientific and parallel computing, faster and faster computers become available. This development simply means that new optimized algorithms should be developed to take advantage of these improvements. There is exactly where we come in with our book containing such algorithms with application especially in problems from Economics but also from other areas such as Mathematical: Biology, Chemistry, Physics, Scientific, Parallel Computing, and also Engineering. The book can be used by senior undergraduate students, graduate students, researchers and practitioners in the aforementioned area 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.Table of ContentsPreface; Definition, Existence and Uniqueness of Equilibrium in Oligopoly Markets; Numerical Methodology for Solving Oligopoly Problems; Global Convergence of Iterative Methods with Inverses; Ball Convergence of Third and Fourth Order Methods for Multiple Zeros; Local Convergence of Two Methods for Multiple Roots Eight Order; Choosing the Initial Points for Newtons Method; Extending the Applicability of an Ulm-Like Method under Weak Conditions; Projection Methods for Solving Equations with a Non-differentiable Term; Efficient Seventh Order of Convergence Solver; An Extended Result of Rall-Type for Newtons Method; Extension of Newtons Method for Cone Valued Operators; Inexact Newtons Method under Robinsons Condition; Newtons Method for Generalized Equations with Monotone Operators; Convergence of Newtons method and uniqueness of the solution for Banach Space Valued Equations; Convergence of Newtons method and uniqueness of the solution for Banach Space Valued Equations II; Extended Gauss-Newton Method: Convergence and Uniqueness Results; Newtons Method for Variational Problems: Wangs g-condition and Smales a-theory; Extending the Applicability of Newtons Method; On the Convergence of a Derivative Free Method using Recurrent Functions; Inexact Newton-like Method under Weak Lipschitz Conditions; Ball Convergence Theorem for Inexact Newton Methods in Banach Space; Extending the Semi-Local Convergence of a Stirling-Type Method; Newtons Method for Systems of Equations with Constant Rank Derivatives; Extended Super-Halley Method; Chebyshev-Type Method of Order Three; Extended Semi-Local Convergence of the Chebyshev-Halley Method; Gauss-Newton-Type Schemes for Undetermined Least Squares Problems; Glossary of Symbols.
£999.99
Nova Science Publishers Inc Advances in Mathematics Research: Volume 28
Book SynopsisThis compilation first outlines a stochastic multicriteria modelling-to-generate-alternatives approach for waste management planning that can generate maximally different sets using a modified version of the computationally efficient Firefly Algorithm. The authors present reduced-order models to pattern formations occurring in the activator-inhibitor FitzHugh-Nagumo equation, parametrized Allen-Cahn equation, non-linear Schrodinger equation, Ginzburg-Landau equation and Swift-Hohenberg equation. The subsequent chapter deals with the singularly perturbed semilinear convection-diffusion problem, serving as an introduction to the model problems which arise frequently in counterflow flames modeling, modeling in mathematical biology, semi-conductor device simulations based on the so-called drift diffusion modeling, fluid dynamics and heat conduction. The authors present a linear integer programming approach to construct efficient incomplete block designs forgiven v, b and k. The proposed approach is illustrated by constructing an A-efficient incomplete block design, and the strengths and weaknesses of this algorithm are also discussed. One included work is devoted to the issue of the Green functions that are related to some three-point boundary and eigenvalue problems. A detailed definition is given for the Green functions provided that the considered three-point boundary value problems are governed by a class of ordinary differential equations which are associated with homogeneous boundary and continuity conditions. A review on the methods of mathematical modeling used to calculate irreversible loss of capacity in polymer lithium-ion batteries is provided. In closing, the authors consider the corpus of mathematical theorems that admit formulations in natural language and offer some explanations of the existence of several types of theorems.Table of ContentsPreface; A Stochastic, Multicriteria, Firefly Algorithm-Based Approach for Waste Management Decision-Making; Discontinuous Galerkin Model Order Reduction for Semi-linear Parabolic Equations; A Rigorous Analysis of a Hybrid Numerical Method for Singularly Perturbed Semilinear Problems; Construction of Efficient Incomplete Block Designs Using Linear Integer Programming Approach; Green Functions for Three-Point Boundary Value Problems with Applications to Beams; Mathematical Modeling of Capacity Loss of Polymer Lithium-Ion Batteries: A Review; Mathematical Theorems in Natural Languages; Index.
£999.99
Nova Science Publishers Inc A Closer Look at the Diffusion Equation
Book SynopsisDiffusion is a principle transport mechanism emerging widely at different scale, from nano to micro and macro levels. This is a contributed book of seventh chapters encompassing local and no-local diffusion phenomena modelled with integer-order (local) and non-local operators. This book collates research results developed by scientists from different countries but with common research interest in modelling of diffusion problems. The results reported encompass diffusion problems related to efficient numerical modelling, hypersonic flows, approximate analytical solutions of solvent diffusion in polymers and wetting of soils. Some chapters are devoted to fractional diffusion problem with operators with singular and non-singular memory kernels. The book content cannot present the entire rich area of problems related to modelling of diffusion phenomena but allow seeing some new trends and approaches in the modelling technologies. In this context, the fractional models with singular and non-singular kernels the numerical methods and the development of the integration techniques related to the integral-balance approach form fresh fluxes of ideas to this classical engineering area of research. The book is oriented to researchers; master and PhD students involved in diffusion problems with a variety of application and could serves as a rich reference source and a collection of texts provoking new ideas.Table of ContentsPreface; A Numerical Approach to Solving Unsteady One-Dimensional Nonlinear Diffusion Equations; Diffusion in Hypersonic Flows; On the Nonlinear Diffusion with Exponential Concentration-Dependent Diffusivity: Integral-Balance Solutions and Analyzes; Solutions for Fractional Reaction-Diffusion Equations; Semi-analytical Solution of Hristov Diffusion Equation with Source; Non-Gaussian Diffusion Emergence in Superstatistics; Mean Square Displacement of the Fractional Diffusion Equation Described by Caputo Generalized Fractional Derivative; Index.
£999.99
Nova Science Publishers Inc Recent Studies in Differential Equations
Book SynopsisThis compilation introduces and studies the class of (asymptotically) Stepanov almost automorphic functions with variable exponents, presenting a few relevant applications of abstract Volterra integro-differential inclusions in Banach spaces. The authors study the existence and regularity of solutions for some nonlinear second order differential equations, showing the existence of mild solutions and giving sufficient conditions ensuring the existence of strict solutions. Sufficient conditions for the oscillation of solutions of neutral impulsive differential equations are also presented. In the penultimate study, the oscillatory behaviour of the solutions of a class of nonlinear first-order neutral differential equations with several delays of one form are studied. In addition, some sufficient conditions for the oscillation of solutions to the first and second-order neutral delay difference equation are presented.Table of ContentsPreface; Almost Automorphic and Asymptotically Almost Automorphic Type Functions in Lebesgue Spaces with Variable Exponents Lp(X); Existence and Regularity of Solutions for Some Nonlinear Second Order Differential Equation in Banach Spaces; Oscillation Results for Nonlinear Neutral Impulsive Differential Equations; First-Order Forced Functional Differential Equations; Oscillation Criteria for Neutral Difference Equations; PDEs Satisfied by Density Function of Stochastic Integrals; Index.
£999.99
Nova Science Publishers Inc An Introduction to the Extended Kalman Filter
Book Synopsis
£62.04
Nova Science Publishers Inc Introduction and Comparison of Data Envelopment
Book SynopsisThis book presents and compares 11 software packages of Data Envelopment Analysis (DEA). Performance measurement is done by various methods, one of which is DEA. Due to the ability of DEA models to meet practical requirements, extensive research can be conducted in the fields of mathematics, management, economics, and engineering. Therefore, during recent decades, the use of this method has been considered with significant growth among researchers. DEA evaluates the performance of Decision Making Units (DMUs) by using linear programming. Since linear programming should be solved for each DMU, performance measurement for a large number of DMUs is difficult and time-consuming. For this purpose, various software packages have been designed and developed to address these problems. Each of these software's is designed for different purposes and has different features and applications. The main objectives of this book are to introduce, express the advantages and disadvantages of each of these software packages, as well as their comparisons.
£999.99
Nova Science Publishers Inc Characterizations of Recently Introduced
Book SynopsisThis monograph is, as far as the author has gathered, the third one of its kind which presents various characterisations of many important continuous distributions. It consists of two chapters. The first chapter lists cumulative distributions and probability density functions of six hundred and sixty-seven newly proposed univariate continuous distributions. Chapter Two consists of four sections. Section 2.1 provides characterisations of the majority of the distributions mentioned in Chapter One, based on the ratio of two truncated moments. Section 2.2 takes up the characterizations of some of these distributions in terms of their hazard functions. Section 2.3 deals with the characterizations some of these distributions based on their reverse hazard functions. Characterizations of some of these distributions based on the conditional expectations of certain functions of the random variable are presented in Section 2.4. As pointed out in our previous Monographs (I & II), a good number of proposed distributions in this volume have already been introduced in the literature.Table of ContentsPreface; Introduction; Characterizations of distributions; Characterizations based on two truncated moments; Characterization in terms of hazard function; Characterization in terms of the reverse (or reversed) hazard function; Characterization based on the conditional expectation of certain function of the random variable; Appendix A; Index.
£999.99
Nova Science Publishers Inc Advanced Engineering Mathematics and Analysis:
Book SynopsisADVANCED ENGINEERING MATHEMATICS AND ANALYSIS: VOLUME 1 offers a straightforward approach to understanding the theory of several engineering tools that are used to compute, evaluate, and analyse practical problems. It is a mathematics textbook that can be used by students, instructors, and technical carriers. Throughout the five chapters of the book, besides the pure mathematical examples, several practical issues from different fields are modelled and solved to illustrate the relation between the theory and its applications. The book elucidates the subjects in a self-contained style. This volume contains the basics and advanced topics of linear algebra and matrix theory, two-chapter ordinary differential equations to elaborate many classes, Laplace transforms with fundamental applications, and a complete engineering course of numerical methods. Each chapter ends with exercises that are arranged according to the chapter sections. The readers will find the answers at the end of the book.Table of ContentsPreface; Acknowledgements; Linear Algebra and Matrices; Differential Equations: Part I; Differential Equations: Part II; Laplace Transforms; Numerical Methods; Answers to Selected Exercises; References; Index.
£163.19
Broadview Press Ltd Formal Logic
Book SynopsisFormal Logic is an undergraduate text suitable for introductory, intermediate, and advanced courses in symbolic logic. The book’s nine chapters offer thorough coverage of truth-functional and quantificational logic, as well as the basics of more advanced topics such as set theory and modal logic. Complex ideas are explained in plain language that doesn’t presuppose any background in logic or mathematics, and derivation strategies are illustrated with numerous examples. Translations, tables, trees, natural deduction, and simple meta-proofs are taught through over 400 exercises. A companion website (complimentary for anyone who buys the book) offers supplemental practice software and tutorial videos.Trade Review“Formal Logic is clear, accessible, and intuitive, but it is also precise, explicit, and thorough. Complex and often confusing concepts are rolled out in a no-nonsense and direct manner with funny and demystifying terminology and helpful analogies. It's a pedagogical gem.” — Mary Kate McGowan, Wellesley College“This is an excellent introductory text in symbolic logic. It is accessible, with clear and concise explanations of key concepts, along with many helpful examples and practice problems, but also rigorous enough to prepare students for a second course in logic; indeed, I do not know of any book that better combines these virtues. I am looking forward to using Formal Logic in my courses.” — Kevin Morris, Tulane University“This book makes the ideas of sentential logic, predicate logic, and formal proof easily accessible by getting directly to the point of each in natural, non-technical language. It is concise while never hurried. It gets the details right, not by focusing on them as details, but through clear insight into why they are as they are.” — Colin McLarty, Case Western Reserve University“Paul Gregory’s Formal Logic is worth careful consideration for anyone adopting a new logic text. The inclusion of chapters on set theory and modal logic makes it a valuable resource for students looking to go beyond the standard introduction to logic.” — Michael Hicks, Miami UniversityTable of ContentsI: Informal Notions1: Informal Introduction1.1 Logic: What, Why, How?1.2 Arguments, Forms, and Truth Values1.3 Deductive Criteria1.3.1Quirky Cases of Deductive Validity1.4 Inductive Criteria1.5 Other Deductive Properties1.6 Exercises1.7 Chapter GlossaryII: Truth-Functional Logic2: The Language S2.1 Introducing S2.1.1 Compound Sentences and Truth-Functional Logic 2.1.2 Negation—It is not the case that…2.1.3 Conjunction—Both…and---2.1.4 Disjunction—Either…or---2.1.5 Material Conditional—If …, then---2.1.6 Material Biconditional—…if and only if---2.1.7 Conditionals and Non-Truth-Functionality2.2 Some Technical Bits2.2.1 Object Language and Metalanguage2.2.2 Use and Mention2.2.3 Metavariables2.2.4 Syntax and Semantics 2.3 The Syntax of S2.3.1 Defining the Language2.3.2 Syntactic Concepts and Conventions2.3.3 Exercises2.4 Alternate Symbols and Other Choices2.5 Chapter Glossary3: Formal Semantics for S3.1 Truth Value Assignments and Truth Tables3.2 Semantic Properties of Individual Wffs3.2.1 Exercises3.3 Semantic Properties of Sets of Wffs3.3.1 Exercises3.4 Semantic Properties, Their Interrelations, and Simple Metalogic3.4.1 Exercises3.5 Truth Trees3.5.1 Tests with Truth Trees3.5.2 Exercises3.6 Chapter Glossary4: SD: Natural Deduction in S4.1 The Basic Idea4.1.1 Reiteration4.1.2 Wedge Rules4.1.3 Arrow Rules4.1.4 Hook Rules4.1.5 Vee Rules4.1.6 Double Arrow Rules4.1.7 Exercises4.2 Derivations: Strategies and Notes4.3 Proof Theory in SD4.3.1 Exercises4.4 SDE, an Extension to SD4.4.1 The Inference Rules of SDE4.4.2 Exercises4.4.3 The Replacement Rules of SDE4.4.4 Exercises4.5 Chapter GlossaryIII: Quantificational Logic5: The Language P5.1 Introducing P5.1.1 Quantificational Logic5.1.2 Predicates and Singular Terms5.1.3 Predicate Letters and Individual Constants in P5.1.4 Pronouns and Quantifiers5.1.5 Variables and Quantifiers in P 5.2 The Syntax of P5.2.1 Defining the Language5.2.2 Syntactic Concepts and Conventions5.2.3 Exercises5.3 Simple Symbolizations5.3.1 Non-categorical Claims5.3.2 Exercises5.3.3 Categorical Claims5.3.4 Exercises5.4 Complex Symbolizations5.4.1 Basics of Overlapping Quantifiers5.4.2 Exercises5.4.3 Identity, Numerical Quantification, and Definite Descriptions5.4.4 Exercises5.5 Chapter Glossary6: Formal Semantics for P6.1 Semantics and Interpretations6.1.1 Basics of Interpretations6.1.2 Interlude: A Little Bit of Set Theory6.1.3 Formal Interpretation of P6.1.4 Constructing Interpretations6.2 Semantic Properties of Individual Wffs6.2.1 Exercises6.3 Semantic Properties of Sets of Wffs6.3.1 Exercises6.4 Quantifier Scope and Distribution6.4.1 Exercises6.5 Properties of Relations6.5.1 Exercises6.6 Chapter Glossary7: PD: Natural Deduction in P7.1 Derivation Rules for the Quantifiers7.1.1 Universal Elimination7.1.2 Existential Introduction7.1.3 Universal Introduction7.1.4 Existential Elimination7.1.5 Exercises7.2 Derivations: Strategies and Notes7.3 Proof Theory in PD7.3.1 Exercises7.4 PDE, an Extension to PD7.4.1 Quantifier Negation7.4.2 Exercises7.4 Chapter GlossaryIV: Advanced Topics8: Basic Set Theory, Paradox, and Infinity8.1 Basics of Sets8.2 Russell’s Paradox8.3 The Axiom Schema of Separation8.4 Subset, Intersection, Union, Difference8.4.1 Exercises8.5 Pairs, Ordered Pairs, Power Sets, Relations, and Functions8.6 Infinite Sets and Cantor’s Proof8.6.1 Exercises8.7 Chapter Glossary9: Modal Logic9.1 Necessity, Possibility, and Impossibility9.1.1 Modalities9.1.2 Logical, Metaphysical, Physical9.1.3 Possible Worlds9.2 The Language S9.2.1 The Syntax of S9.2.2 Exercises9.3 Basic Possible Worlds Semantics for S9.3.1 Semantic Properties of Wffs and Sets of Wffs9.3.2 Exercises9.3.3 Possible Worlds and Trees9.3.4 Exercises9.4 Natural Deduction in S9.4.1 System K9.4.2 System D9.4.3 System T9.4.4 System B9.4.5 System S49.4.6 System S59.4.7 Relations Between Modal Systems9.4.8 Exercises9.5 Chapter GlossaryV: AppendicesA: Answers to ExercisesB: GlossaryC: Truth Tables, Tree Rules, and Derivation RulesC.1 Characteristic Truth TablesC.2 Truth Tree Rules for SC.3 The Derivation System SDC.4 The Derivation System SDEC.5 The Derivation System PD
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