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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

BooksJournals

    • Capital Theory and the Distribution of Income

      • 1st Edition
      • Volume 4
      • July 22, 2014
      • C. J. Bliss
      • C. J. Bliss
      • English
      • Paperback
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      • eBook
        9 7 8 1 4 8 3 2 7 5 2 7 7
      Advanced Textbooks in Economics, Volume 4: Capital Theory and the Distribution of Income focuses on the interconnection of capital theory and the distribution of income, including marginal products, capital, interest rates, and price systems. The book first takes a look at production without capital, equilibrium, prices, and time, and semi-stationary growth, as well as the existence of constant-rate-of-int... price systems. The manuscript then discusses marginal products and capital and the Cambridge model. The text examines the aggregation of miscellaneous objects, production function, linear production model, and efficiency, production prices, and rates of return, as well as prices and efficiency for infinite developments. The manuscript also ponders on investment, structure of interest rates, and disputations. Discussions focus on sets and convex sets, concave functions, and linear and non-linear programming. The publication is a dependable source of data for economists and researchers interested in capital theory and the distribution of income.

    • Representations of Lie Groups, Kyoto, Hiroshima, 1986

      • 1st Edition
      • July 22, 2014
      • K. Okamoto + 1 more
      • English
      • Paperback
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      • eBook
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      Representations of Lie Groups, Kyoto, Hiroshima, 1986 contains the proceedings of a symposium on "Analysis on Homogeneous Spaces and Representations of Lie Groups" held on September 1-6, 1986 in Japan. The symposium provided a forum for discussing Lie groups and covered topics ranging from geometric constructions of representations to the irreducibility of discrete series representations for semisimple symmetric spaces. A classification theory of prehomogeneous vector spaces is also described. Comprised of 22 chapters, this volume first considers the characteristic varieties of certain modules over the enveloping algebra of a semisimple Lie algebra, such as highest weight modules and primitive quotients. The reader is then introduced to multiplicity one theorems for generalized Gelfand-Graev representations of semisimple Lie groups and Whittaker models for the discrete series. Subsequent chapters focus on Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals; the generalized Geroch conjecture; algebraic structures on virtual characters of a semisimple Lie group; and fundamental groups of semisimple symmetric spaces. The book concludes with an analysis of the boundedness of certain unitarizable Harish-Chandra modules. This monograph will appeal to students, specialists, and researchers in the field of pure mathematics.

    • Variational Methods in Economics

      • 1st Edition
      • Volume 1
      • July 22, 2014
      • G. Hadley + 1 more
      • C. J. Bliss
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 0 1 2 0
      • eBook
        9 7 8 1 4 8 3 2 7 5 2 8 4
      Advanced Textbooks in Economics, Volume 1: Variational Methods in Economics focuses on the application of variational methods in economics, including autonomous system, dynamic programming, and phase spaces and diagrams. The manuscript first elaborates on growth models in economics and calculus of variations. Discussions focus on connection with dynamic programming, variable end points-free boundaries, transversality at infinity, sensitivity analysis-end point changes, Weierstrass and Legendre necessary conditions, and phase diagrams and phase spaces. The text then ponders on the constraints of classical theory, including unbounded intervals of integration, free boundary conditions, comparison functions, normality, and the problem of Bolza. The publication explains two-sector models of optimal economic growth, optimal control theory, and connections with the classical theory. Topics include capital good immobile between industries, constrained state variables, linear control problems, conversion of a control problem into a problem of Lagrange, and the conversion of a nonautonomous system into an autonomous system. The book is a valuable source of information for economists and researchers interested in the variational methods in economics.

    • Vector Measures

      • 1st Edition
      • Volume 95
      • July 21, 2014
      • N. Dinculeanu
      • I. N. Sneddon + 1 more
      • English
      • Paperback
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      • eBook
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      International Series of Monographs in Pure and Applied Mathematics, Volume 95: Vector Measures focuses on the study of measures with values in a Banach space, including positive measures with finite or infinite values. This book is organized into three chapters. Chapter I covers classes of sets, set functions, variation and semi-variation of set functions, and extension of set functions from a certain class to a wider one. The integration of vector functions with respect to vector measures is reviewed in Chapter II. In Chapter III, the regular measures on a locally compact space and integral representation of the dominated operations on the space of continuous functions with compact carrier are described. This volume is intended for specialists, researchers, and students interested in vector measures.

    • Applied Methods of the Theory of Random Functions

      • 1st Edition
      • Volume 89
      • July 21, 2014
      • A. A. Sveshnikov
      • I. N. Sneddon + 1 more
      • English
      • Paperback
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      • eBook
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      International Series of Monographs in Pure and Applied Mathematics, Volume 89: Applied Methods of the Theory of Random Functions presents methods of random functions analysis with their applications in various branches of technology, such as in the theory of ships, automatic regulation and control, and radio engineering. This book discusses the general properties of random functions, spectral theory of stationary random functions, and determination of optimal dynamical systems. The experimental methods for the determination of characteristics of random functions, method of envelopes, and some supplementary problems of the theory of random functions are also deliberated. This publication is intended for engineers and scientists who use the methods of the theory of probability in various branches of technology.

    • Barsotti Symposium in Algebraic Geometry

      • 1st Edition
      • Volume 15
      • July 21, 2014
      • Valentino Cristante + 1 more
      • English
      • Paperback
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      • eBook
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      Barsotti Symposium in Algebraic Geometry contains papers corresponding to the lectures given at the 1991 memorial meeting held in Abano Terme in honor of Iacopo Barsotti. This text reflects Barsotti’s significant contributions in the field. This book is composed of 10 chapters and begins with a review of the centers of three-dimensional skylanin algebras. The succeeding chapters deal with the theoretical aspects of the Abelian varieties, Witt realization of p-Adic Barsotti-Tate Groups, and hypergeometric series and functions. These topics are followed by discussions of logarithmic spaces and the estimates for and inequalities among A-numbers. The closing chapter describes the moduli of Abelian varieties in positive characteristic. This book will be of value to mathematicians.

    • Nomography

      • 1st Edition
      • Volume 42
      • July 21, 2014
      • Edward Otto
      • English
      • Paperback
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      • eBook
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      Nomography deals with geometrical transformations, particularly projective transformations of a plane. The book reviews projective plane and collineation transformations in geometrical and algebraical terms. The geometrical approach aims at permitting the use of elementary geometrical methods in drawing collineation nomograms consisting of three rectilinear scales. The algebraical treatment concerns nomograms containing curvilinear scales. The text explains functional scales that include the graph of a function and a logarithmic scale. The book explores equations which can be represented by elementary methods without the use of a system of coordinates, some equations that require algebraic calculations, as well as nomograms with a binary field (lattice nomograms). The text investigates collineation monograms of many variables, elementary geometrical methods of joining nomograms, and also of nomograms consisting of two parts to be superimposed on each other. In addition to the Massau method and the criterion of Saint Robert, the book also applies the criteria of nomogrammability of a function to address mathematical problems related to the analysis of the methods in constructing nomograms. The book can be useful for mathematicians, geometricians, engineers, and researchers working in the physical sciences who use graphical calculations in their work.

    • Algebra

      • 1st Edition
      • Volume 91
      • July 21, 2014
      • L. Rédei
      • I. N. Sneddon + 1 more
      • English
      • eBook
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      Compared with the original German edition this volume contains the results of more recent research which have to some extent originated from problems raised in the previous German edition. Moreover, many minor and some important modifications have been carried out. For example paragraphs 2 — 5 were amended and their order changed. On the advice of G. Pickert, paragraph 7 has been thoroughly revised. Many improvements originate from H. J. Weinert who, by enlisting the services of a working team of the Teachers' Training College of Potsdam, has subjected large parts of this book to an exact and constructive review. This applies particularly to paragraphs 9, 50, 51, 60, 63, 66, 79, 92, 94, 97 and 100 and to the exercises. In this connection paragraphs 64 and 79 have had to be partly rewritten in consequence of the correction

    • Introduction to Higher Algebra

      • 1st Edition
      • Volume 37
      • July 18, 2014
      • A. Mostowski + 1 more
      • I. N. Sneddon + 2 more
      • English
      • Paperback
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      • eBook
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      Introduction to Higher Algebra is an 11-chapter text that covers some mathematical investigations concerning higher algebra. After an introduction to sets of functions, mathematical induction, and arbitrary numbers, this book goes on considering some combinatorial problems, complex numbers, determinants, vector spaces, and linear equations. These topics are followed by discussions of the determination of polynomials in ne variable, rings of real and complex polynomials, and algebraic and transcendental numbers. The final chapters deal with the polynomials in several variables, symmetric functions, the theory of elimination, and the quadratic and Hermitian forms. This book will be of value to mathematicians and students.

    • Mathematical Techniques of Operational Research

      • 1st Edition
      • Volume 38
      • July 17, 2014
      • L. S. Goddard
      • I. N. Sneddon + 2 more
      • English
      • eBook
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      Mathematical Techniques of Operational Research is a seven-chapter text that covers the principles and applications of various mathematical tools and models to for operational research. Chapter I provides the basic mathematical ideas used in later chapters. Chapters II and III deal with linear programming, including the special cases of transportation and assignment, as well as their applications such as the Trim Problem. Chapters IV and V discuss the theory of queues and describe the general stationary properties of the single-channel queue, and of simple queues in series and in parallel. These chapters also examine some transient properties of queues. Chapter VI focuses on machine interference, which is an aspect of queueing theory, while Chapter VII deals with the important and mathematically subject of Stock Control or Inventory Theory. This book is intended primarily to graduate mathematicians, business manages, and industrial leaders.

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