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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…

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 theories that are oriented to real life problems. (Imprint: Nova)

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…

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Disease in the prey population increases the risk of prey outcomes in predation or to be harvested. In this book, an ecoepidemiological model consisting of predatorprey model with SIS disease in the prey population is proposed and analyzed. Furthermore, the authors discuss a mathematical SEIL (SusceptibleLatently infectedInfectedLost of sight) model for the spread of a…

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Exponential distribution is one of the mostused 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…

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This monograph presents smooth, unified, and generalized fractional programming problems, particularly advanced duality models for discrete minmax fractional programming. In the current, interdisciplinary, computeroriented research environment, these programs are among the most rapidly expanding research areas in terms of their multifaceted applications including problems ranging from robotics to money market portfolio management. The other more…

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This monograph is, as far as the author has gathered, the second of its kind (the first one was published by Nova in 2017 with coauthors Hamedani and Maadooliat) which presents various characterizations of a wide variety of continuous distributions. These two monographs could also be used as sources to prevent reinventing and duplicating the…

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This book provides new research on the advances in nonlinear dynamics. Chapter One studies compactons in carbon nanotube arrays. Chapter Two reviews the elastic and plastic type behaviors in the Fractal Theory of Motion at nanoscale. Chapter Three analyzes a particular model of tumor progression, assuming that the invasive cells, the connective tissue 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 using mathematical tessellation to model spherical particle packing structures; further results on fractional calculus for nondifferentiable functions applications to ztransform and…

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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. Chapter One summarizes the phase/current generalized measures of the entropy/information content in complex quantum states of molecular systems. Chapter Two reviews the current knowledge…

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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 modern works in the field of mathematical modeling of intracellular processes; the improvement of Bezier basis function efficiency in object surface…

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The material of this book stems from the idea of integrating a classic concept of Fibonacci numbers with commonly available digital tools including a computer spreadsheet, Maple, Wolfram Alpha, and the graphing calculator. This integration made it possible to introduce a number of new concepts such as: Generalized golden ratios in the form of cycles…

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In Chapter One, Ming Ming Chiu deliberates on the way statistical discourse analysis can be used to overcome certain modeling problems by presenting a study on social metacognitive actions. Next, Chapter Two by Oscar João Abdounur explores the correlation between ratio and theoretical music, especially from the 14th through the 16th centuries in Europe. In…

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In the opening chapter by Victor MartinezLuaces, two kinds of matrices related to chemical problems are examined and an outline of their main properties about their eigenvalues is exhibited in order to demonstrate that all the ODE solutions are either stable or asymptotically stable. In chapter two by Ivan Kyrchei, the Cramer rules for the…

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This book is divided into two parts and include questions which involve advanced mathematics. The first part consists of six chapters, in which are included various problems and amusements of the kind usually called mathematical recreations. The questions discussed in the first of these chapters are connected with arithmetic; those in the second with geometry;…

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We propose results of the investigation of the problem of the mean square optimal estimation of linear functionals which depend on the unknown values of periodically correlated isotropic random fields. Estimates are based on observations of the fields with a noise. Formulas for computing the value of the meansquare errors and the spectral characteristics of…

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This book offers a multidisciplinary approach to systems theory, investigating its general principles, mathematical models, and applications in health sciences. It describes how leaders in the field have made a transition from equations and models to dilemmas faced in the real world. This book is meant to simplify our understanding of disparate hierarchical and complex…

The Fibonacci Numbers and Integer Structure: Foundations for a Modern Quadrivium
Mathematics Research Developments, Special Topics, Mathematics and Statistics, Science and Technology$195.00Quick ViewIn the study of integers over many centuries, simple but very useful data have often been overlooked or at least sparingly used. The development of modular rings provides a means to shed light on such data. A modular ring is effectively an array of integers which can be uniquely identified by columns and rows with…

Evolution Equations: Almost Periodicity and Beyond (In Memory of Professor V.V. Zhikov)
Mathematics Research Developments, Special Topics, Mathematics and Statistics, Science and Technology$230.00Quick ViewThis 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…
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