
Estimates of Stochastic Processes with Missing Observations
Mathematics Research Developments, Probability and Mathematical Statistics, Mathematics and Statistics$230.00Quick ViewWe 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…

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Systems Theory is a transdisciplinary field that involves complex combinations of different research fields with the purpose to explain the observed natural phenomena in the world around us. The aim of the present book is to present some of what is being done, in the 21st century, in different fields that comprise the Systems Theory.…

High Order Boundary Value Problems: Existence, Localization and Multiplicity Results
Mathematics Research Developments, Linear Programming, Applied Mathematics, Mathematics and Statistics$69.00Quick ViewThe motto for all the results presented in this book is the lower and upper solution method. In short, this method can guarantee not only the existence of a solution for a given boundary value problem but also the location of the solution in a strip defined by the lower and the upper solutions. Therefore,…

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Nowadays much attention is being given to the development of cancer tumours’ nanotechnologies, production of novel materials and nanoscale structures. The importance of the simultaneous improvement of corrosion and wear resistance is emphasized by the fact that the cost of damage caused by corrosion is very high. The use of electroless plating promotes overcoming many…

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This work is divided into three parts. In the first part, the hyperbolic equations’ theory is analysed, the second part concerns the Cauchy problem in General Relativity, whereas the third part gives a modern perspective of General Relativity. In the first part, the study of systems of partial differential equations allows the introduction of the…

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Algorithms were always an important part of many branches in the sciences. In many manuals and handbooks, algorithms of problems of computational mathematics are focused on the manual performance or by means of a calculator. In this book, descriptions of algorithms, their solutions and main characteristics are discussed. The present work is the outcome of…

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Algorithms were always an important part of many branches in the sciences. In many manuals and handbooks, algorithms of problems of computational mathematics are focused on the manual performance or by means of a calculator. In this book, descriptions of algorithms, their solutions and main characteristics are discussed. The present work is the outcome of…

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Fractional calculus deals with extensions of derivatives and integrals to noninteger orders. It represents a powerful tool in applied mathematics to study a myriad of problems from different fields of science and engineering, with many breakthrough results found in mathematical physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, astrophysics, cosmology and bioengineering. This book…

Fractional Calculus: Theory
$205.00Quick ViewThe first volume of this twovolume book, presents history, the mathematical modeling and the applications of fractional order systems, and contains mathematical and theoretical studies and research related to this domain. This volume is made up of 11 chapters. The first chapter presents an analysis of the Caputo derivative and the pseudo state representation with…

Hypergraphs and Designs
$215.00Quick ViewCombinatorial designs represent an important area of contemporary discrete mathematics closely related to such fields as finite geometries, regular graphs and multigraphs, factorizations of graphs, linear algebra, number theory, finite fields, group and quasigroup theory, Latin squares, and matroids. It has a history of more than 150 years when it started as a collection of…

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This book makes a significant contribution to the advancement of statistical science. It contains research in many statistical designs, compares many statistical models, and includes a theory that is oriented to real life problems. (Imprint: Nova)

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This book introduces the main ideas and fundamental methods of isodifferential calculus for isofunctions of several variables. Introduced are the isofunctions of the first, second, third, fourth and fifth kind, and isopartial derivatives of the first, second, third, fourth, fifth, sixth and seventh kind. In this book, the main conceptions for multiple, line and surface…

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This book makes a significant contribution to the advancement of statistical science. It contains research in many statistical designs, compares many statistical models, and includes theories that are oriented to real life problems. (Imprint: Nova)

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This book presents original studies on the leading edge of linear algebra. Each chapter has been carefully selected in an attempt to present substantial research results across a broad spectrum. The main goal of Chapter One is to define and investigate the restricted generalized inverses corresponding to minimization of constrained quadratic form. As stated in…

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This book is intended for readers who have had a course in isodifferential calculus and it can be used for a senior undergraduate course. Chapter 1 deals with exact isodifferential equations, while firstorder isodifferential equations are studied in Chapter 2 and Chapter 3. Chapter 4 discusses isointegral inequalities. Many isodifferential equations cannot be solved as…

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After presenting the first volume of this twovolume book, presenting a lot of mathematical and theoretical studies and research related to noninteger calculus, the second volume illustrates applications related to this domain. This volume is made up of 11 chapters. The first chapter presents the heuristic power of the noninteger differential operators in physics starting…

Statistics. Volume 2: Multiple Variable Analysis
Mathematics Research Developments, Upcoming Publications, Special Topics, Mathematics and Statistics$270.00Quick ViewWe 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…

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This book is intended for readers who have had or currently have a course in difference equations or isodifferential calculus. It can be used for a senior undergraduate course. Chapter 1 deals with the linear firstorder isodifference equations, equilibrium points, eventually equilibrium points, periodic points and cycles. Chapter 2 are introduces isodifference calculus and the…

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“Advances in Mathematics Research” presents original studies on the leading edge of mathematics. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed include the complexities of math skills development; construction of an NP problem with an exponential lower bound; misconceptions and misunderstandings (M&M) of…

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In Advances in Mathematics Research. Volume 26, the 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…

Computational Recipes of Linear and NonLinear Singular Integral Equations and Relativistic Mechanics in Engineering and Applied Science. Volume II
Computational Mathematics and Analysis, Linear Programming, Applied Mathematics, Mathematics and Statistics$230.00Quick ViewThe present book deals with the computational recipes of the finitepart singular integral equations, the multidimensional singular integral equations and the nonlinear singular integral equations, which are widely used in many fields of engineering mechanics and mathematical physics with an applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, elastodynamics, fluid mechanics,…

Computational Recipes of Linear and NonLinear Singular Integral Equations and Relativistic Mechanics in Engineering and Applied Science. Volume I
Computational Mathematics and Analysis, Linear Programming, Applied Mathematics, Mathematics and Statistics$255.00Quick ViewThe present book deals with the computational recipes of the finitepart singular integral equations, the multidimensional singular integral equations and the nonlinear singular integral equations, which are widely used in many fields of engineering mechanics and mathematical physics with an applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, elastodynamics, fluid mechanics,…

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This book is intended for readers who have had a course in isodifferential calculus and theory of probability. It can be used for a senior undergraduate course. (Imprint: Nova)

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Control Theory is a field of applied mathematics and engineering that deals with the basic principles underlying the analysis and design of control systems. “Controlling a system” means to influence the behavior of the system in order to achieve a desired goal. Control theory deals with the use of a controller to achieve this purpose.…
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