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Elsevier

Books in Mathematics general

  • Elements of Probability Theory

    • 1st Edition
    • L. Z. Rumshiskii
    • English
    Elements of Probability Theory presents the methods of the theory of probability. This book is divided into seven chapters that discuss the general rule for the multiplication of probabilities, the fundamental properties of the subject matter, and the classical definition of probability. The introductory chapters deal with the functions of random variables; continuous random variables; numerical characteristics of probability distributions; center of the probability distribution of a random variable; definition of the law of large numbers; stability of the sample mean and the method of moments; and Chebyshev’s theorem. The next chapters consider the limit theorem of de Moivre-Laplace and the solution of two fundamental problems in the theory of errors. The discussion then shifts to the best linear approximation to the regression function. The concluding chapters look into the central limit theorem of Lyapunov and the significance of the value of the coefficient of correlation. The book can provide useful information to the statisticians, students, and researchers.

  • A Treatise on Trigonometric Series

    Volume 1
    • 1st Edition
    • N. K. Bary
    • English
    A Treatise on Trigonometric Series, Volume 1 deals comprehensively with the classical theory of Fourier series. This book presents the investigation of best approximations of functions by trigonometric polynomials. Organized into six chapters, this volume begins with an overview of the fundamental concepts and theorems in the theory of trigonometric series, which play a significant role in mathematics and in many of its applications. This text then explores the properties of the Fourier coefficient function and estimates the rate at which its Fourier coefficients tend to zero. Other chapters consider some tests for the convergence of a Fourier series at a given point. This book discusses as well the conditions under which the series does converge uniformly. The final chapter deals with adjustment of a summable function outside a given perfect set. This book is a valuable resource for advanced students and research workers. Mathematicians will also find this book useful.

  • Statistical Methods

    • 1st Edition
    • Stefan Szulc
    • English
    Statistical Methods provides a discussion of the principles of the organization and technique of research, with emphasis on its application to the problems in social statistics. This book discusses branch statistics, which aims to develop practical ways of collecting and processing numerical data and to adapt general statistical methods to the objectives in a given field. Organized into five parts encompassing 22 chapters, this book begins with an overview of how to organize the collection of such information on individual units, primarily as accomplished by government agencies. This text then examines the other types of statistical series such as geographical, time, and structural series. Other chapters consider several types of relative numbers and analyze some related problems in greater detail. This book discusses as well the methods of analysis of interdependence between the characteristics deals with these methods. The final chapter deals with cases in which partial research is either an incorrect form of pseudo-sampling survey. This book is a valuable resource for economists.

  • Differential and Riemannian Geometry

    • 1st Edition
    • Detlef Laugwitz
    • English
    Differential and Riemannian Geometry focuses on the methodologies, calculations, applications, and approaches involved in differential and Riemannian geometry. The book first offers information on local differential geometry of space curves and surfaces and tensor calculus and Riemannian geometry. Discussions focus on tensor algebra and analysis, concept of a differentiable manifold, geometry of a space with affine connection, intrinsic geometry of surfaces, curvature of surfaces, and surfaces and curves on surfaces. The manuscript then examines further development and applications of Riemannian geometry and selections from differential geometry in the large, including curves and surfaces in the large, spaces of constant curvature and non-Euclidean geometry, Riemannian spaces and analytical dynamics, and metric differential geometry and characterizations of Riemannian geometry. The publication elaborates on prerequisite theorems of analysis, as well as the existence and uniqueness theorem for ordinary first-order differential equations and systems of equations and integrability theory for systems of first-order partial differential equations. The book is a valuable reference for researchers interested in differential and Riemannian geometry.

  • Population Dynamics

    Proceedings of a Symposium Conducted by the Mathematics Research Center The University of Wisconsin, Madison June 19–21, 1972
    • 1st Edition
    • T. N. E. Greville
    • English
    Population Dynamics covers the proceedings of a symposium conducted by the Mathematics Research Center, The University of Wisconsin, Madison on June 19-21, 1972. The book focuses on the application of mathematics to the study of human population growth. The selection first offers information on population waves and the properties of a stochastic attraction model. Discussions focus on social distance, limiting behavior of the model, mathematical development, population increase and retirement pensions, natural periodicity in the demographic system, trends in generational stability, mobility in unstable populations, and the Easterlin effect. The text then takes a look at the sampling frame as a determinant of observed distributions of duration variables and comparison of alternative marriage models, including plausible marriage models, axioms for marriage functions, birth intervals, and computer simulation of prospective and interior birth interval lengths. The manuscript ponders on contraceptive impact over several generations, estimation of the risk of conception from censored data, and influence of cause of death structure on age-patterns of mortality. Topics include distributions of conception times, simulation of experiments, potential fertility of users, and length of protection. The selection is a valuable reference for researchers interested in population dynamics.

  • French's Index of Differential Diagnosis

    • 11th Edition
    • F. Dudley Hart
    • English
    French's Index of Differential Diagnosis, 11th Edition focuses on treatise on the application of differential diagnosis to all the main signs and symptoms of diseases. The book covers surgery, gynecology, ophthalmology, dermatology, and neurology. The manuscript first ponders on anemia, angioma, antisocial behavior, anxiety, ascites, ataxia, abnormal blood pressure, bradycardia, foulness of breath, and pain in breast. The book then discusses confabulation, cramps, cyanosis, cystinuria, delusions, dementia, diarrhea, diplopia, depression, erythema, and inflammation of eye. The publication takes a look at indigestion, impotence, insomnia, jaundice, keloid, marasmus, muscular atrophy, nasal obstruction, nausea, nasal discharge, swelling of neck, obesity, palpitations, and pelvic swelling. The manuscript also reviews loss of weight, vertigo, vomiting, defects of vision, vaginal discharge, vaginal swelling, sore throat, pain in tongue, trismus, grinding of teeth during sleep, and snoring. The book is a vital reference for researchers wanting to study differential diagnosis.

  • Contributions to Logic and Methodology

    In Honor of J.M. Bochenski
    • 1st Edition
    • Anna-Teresa Tymieniecka
    • English
    Contributions to Logic and Methodology in Honor of J. M. Boche?ski focuses on the influence, contributions, and legacy of J. M. Boche?ski in the fields of logic and methodology. The selection first offers information on some remarks on inferential deduction, modal logic with eight modalities, and method and logic in presocratic explanation. Discussions focus on inference, evidence, hypothesis, generalization, semantical discussion, proof of necessity, multiple dialogues, and construction trees. The text then elaborates on reification, quotation, and nominalization, logic of preference and choice, and sense, denotation, and the context of sentences. Topics include axioms of preference and of choice, economic context, methodological remarks, reification, nominalization, and quotation. The manuscript examines conjectural inference and phenomenological analysis, including anticipatory evidence and choice of method, conjecture of the universal order, conjectural requirement of the architectonic project, and outline of the program of conjectural inquiry. The selection is a dependable source of information for philosophers and researchers interested in the influence and contributions of J. M. Boche?ski to logic and methodology.

  • A New Approach to Scientific Computation

    • 1st Edition
    • Ulrich W. Kulisch + 1 more
    • English
    A New Approach to Scientific Computation is a collection of papers delivered at a symposium held at the IBM Thomas J. Watson Research Center on August 3, 1982. The symposium provided a forum for reviewing various aspects of an approach to scientific computation based on a systematic theory of computer arithmetic. Computer demonstration packages for standard problems of numerical mathematics are considered. Comprised of 12 chapters, this volume begins by summarizing an extensive research activity in scientific computation as well as the experience gained through various implementations of a new approach to arithmetic on diverse processors, including even microprocessors. A complete listing of the spaces that occur in numerical computations is presented, followed by a discussion of aspects of traditional computer arithmetic and a new definition of computer arithmetic. The properties of semimorphisms are also considered. Subsequent chapters focus on potential applications of programming packages to standard problems in numerical analysis implemented on a Z80 based minicomputer, with a PASCAL extension called PASCAL-SC as the programming language; methods for solving algebraic problems with high accuracy; and the use of a computer with floating-point arithmetic to obtain guaranteed sharp bounds for the value of an arithmetic expression. An extension of FORTRAN which satisfies contemporary requirements of numerical computation is also described. This book will be helpful to students and practitioners in the fields of computer science and applied mathematics.

  • Computer Science and Multiple-Valued Logic

    Theory and Applications
    • 1st Edition
    • David C. Rine
    • English
    Computer Science and Multiple-Valued Logic: Theory and Applications focuses on the processes, methodologies, and approaches involved in multiple-valued logic and its relationship to computer science. The selection first tackles an introduction to multiple-valued logic, lattice theory of post algebras, multiple-valued logic design and applications in binary computers, smallest many-valued logic for the treatment of complemented and uncomplemented error signals, and chain based lattices. Discussions focus on formulation, representation theory, theory and circuit design, logical tables, and unary operations. The text then examines multiple-valued signal processing with limiting, development of multiple-valued logic as related to computer science, p-algebras, and an algorithm for axiomatizing every finite logic. The book takes a look at completeness properties of multiple-valued logic algebras, computer simplification of multi-valued switching functions, and minimization of multivalued functions. Topics include generation of prime implicants, realizations, minimization algorithms, decomposition algorithm for multi-valued switching functions, and relation between the sum-of-products form and array of cubes. The selection is aimed at computer engineers, computer scientists, applied mathematicians, and physicists interested in multiple-valued logic as the discipline relates to computer engineering and computer science.

  • Linear Regression and Its Application to Economics

    • 1st Edition
    • Zdzisław Hellwig
    • English
    Linear Regression and its Application to Economics presents the economic applications of regression theory. This book discusses the importance of linear regression for multi-dimensional variables. Organized into six chapters, this book begins with an overview of the elementary concepts and the more important definitions and theorems concerning two-dimensional and multi-dimensional random variables. This text then examines the important applications of correlation methods to economics. Other chapters consider the methods of estimating regression parameters. This book discusses as well the methods of testing some statistical hypotheses relevant for practical applications of the correlation analysis. The final chapter deals with the fact that correlation methods can be used not only in static but also in dynamic research. This book is a valuable resource for scientists in economic, agricultural, and technical colleges who deal with economic problems in their research. Graduates of economic and technical colleges employed in different branches of the national economy will also find this book useful.