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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

    • Fixed Point Theory and Graph Theory

      • 1st Edition
      • June 10, 2016
      • Monther Alfuraidan + 1 more
      • English
      • Hardback
        9 7 8 0 1 2 8 0 4 2 9 5 3
      • eBook
        9 7 8 0 1 2 8 0 4 3 6 5 3
      Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges. This edited reference work is perhaps the first to provide a link between the two theories, describing not only their foundational aspects, but also the most recent advances and the fascinating intersection of the domains. The authors provide solution methods for fixed points in different settings, with two chapters devoted to the solutions method for critically important non-linear problems in engineering, namely, variational inequalities, fixed point, split feasibility, and hierarchical variational inequality problems. The last two chapters are devoted to integrating fixed point theory in spaces with the graph and the use of retractions in the fixed point theory for ordered sets.

    • Mathematics with Understanding

      • 1st Edition
      • June 6, 2016
      • Harold Fletcher + 1 more
      • C. Plumtpon
      • English
      • Paperback
        9 7 8 0 0 8 0 1 5 6 5 6 9
      • eBook
        9 7 8 1 4 8 3 1 3 8 1 2 1
      Mathematical Topics: Mathematics with Understanding, Book 1 focuses on the approaches in teaching mathematics. The book first offers information on the aims of modern approaches in teaching mathematics. The text discusses the language of sets. Set notation, empty, disjoint, and universal sets; union and intersection of two sets; Venn diagrams; and complements of sets are clarified. The selection also reviews relations and sorting, including equivalence relations, equivalent sets, partitioning sets, and number games. Recording of numbers and use of different bases are also discussed. Topics include multiplication in different bases, decomposition, equal addition, bicimals, and operations using bases other than 10. The text also focuses on open sentences, number facts, and pictorial representations. The number line, collection of data, bar charts, block graphs, pi graphs, tally charts, and line graphs are discussed. The book also takes a look at the processes of addition, subtraction, multiplication, and division. The selection is a reliable reference for readers interested in mathematics.

    • A Collection of Problems in Analytical Geometry

      • 1st Edition
      • June 6, 2016
      • D. V. Kletenik
      • W. J. Langford + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 2 3 4 2 4
      • Hardback
        9 7 8 0 0 8 0 1 1 7 8 6 7
      • eBook
        9 7 8 1 4 8 3 1 5 5 8 4 5
      A Collection of Problems in Analytical Geometry, Part I: Analytical Geometry in the Plane is a collection of problems dealing with higher analytical geometry. The book discusses elementary problems dealing with plane analytical geometry. The text presents topics on the axis and intervals on an axis and coordinates on a straight line. The book also defines what a rectangular Cartesian coordinates in a plane is, the division of an interval in a given ratio, and shows how to calculate the area of a triangle. The equation of a curve, the functions of two variables, and the concept of an equation of a curve are explained by the use of examples and problems. The author also addresses the geometrical properties of curves of the second order, the equations of a straight line, a circle, an ellipse, a hyperbola, and a parabola. The text then discusses the general theory of second-order curves and emphasizes the equations of the central curves of the second order. The author cites the simplification of these equations as being applicable to theoretical mechanics. This collection of problems can be used by teachers of analytical geometry and their students.

    • Non-Linear Differential Equations

      • 1st Edition
      • June 6, 2016
      • G. Sansone + 1 more
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 0 0 8 0 1 3 7 1 2 4
      • eBook
        9 7 8 1 4 8 3 1 3 5 9 6 0
      International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.

    • BASIC

      • 1st Edition
      • June 6, 2016
      • J. Maynard
      • English
      • Paperback
        9 7 8 0 4 3 4 9 8 4 0 3 9
      • eBook
        9 7 8 1 4 8 3 1 3 5 5 0 2

    • A Course of Higher Mathematics

      • 1st Edition
      • June 6, 2016
      • V. I. Smirnov
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 0 0 8 0 1 3 7 1 7 9
      • eBook
        9 7 8 1 4 8 3 1 4 0 1 3 1
      International Series of Monographs in Pure and Applied Mathematics, Volume 59: A Course of Higher Mathematics, III/I: Linear Algebra focuses on algebraic methods. The book first ponders on the properties of determinants and solution of systems of equations. The text then gives emphasis to linear transformations and quadratic forms. Topics include coordinate transformations in three-dimensional space; covariant and contravariant affine vectors; unitary and orthogonal transformations; and basic matrix calculus. The selection also focuses on basic theory of groups and linear representations of groups. Representation of a group by linear transformations; linear representations of the unitary group in two variables; linear representations of the rotation group; and Abelian groups and representations of the first degree are discussed. Other considerations include integration over groups, Lorentz transformations, permutations, and classes and normal subgroups. The text is a vital source of information for students, mathematicians, and physicists.

    • Real Time Programming 1981

      • 1st Edition
      • June 6, 2016
      • T. Hasegawa
      • English
      • Paperback
        9 7 8 1 4 8 3 1 2 6 2 6 5
      • eBook
        9 7 8 1 4 8 3 1 5 8 6 8 6
      Annual Review in Automatic Programming, Volume 11: Real Time Programming 1981 contains the proceedings of the IFAC/IFIP Workshop held in Kyoto, Japan on August 31 - September 2, 1981. Organized into 18 chapters, this book begins with a discussion on advances and trends in distributed control systems. Subsequent chapters explore the application and technology of industrial computers in Japan; on-line system changeover using a virtual machine system; a debugging tool for real time software; and program fall-back method in real time systems. Some other chapters address file design of small real time computer system; development of a distributed operating system kernel for real time applications; and evaluation of pipelined common processor in distributed processing system.

    • Structural Analysis Systems

      • 1st Edition
      • June 6, 2016
      • A. Niku-Lari
      • English
      • Paperback
        9 7 8 1 4 8 3 1 2 7 7 0 5
      • eBook
        9 7 8 1 4 8 3 1 6 0 1 2 2
      Structural Analysis Systems: Software—Hardware Capability—Compatibi... Volume 2 is a practical guidebook on structural analysis systems and their applications. It provides detailed information about a specific software, its postprocessor capabilities and limitations, computer-aided design connection, and compatibility with the most common computers. Several practical examples from industry with computer and user cost are given. This volume consists of 17 chapters and begins with a description of AFAG, a dual finite element analysis program based on the flexibility method. The discussion then turns to the AQUADYN system, designed primarily to reduce the hydrodynamics problem to a linear integral equation for large floating or immersed structures. The following chapters focus on other structural analysis computer programs such as BOSOR4 and BOSOR5, INFESA, MEF/MOSAIC, RCAFAG, and STRUGEN. Some general purpose and special purpose finite element programs used for stress analysis of composite materials are also considered. This book will be a useful resource for practitioners in scientific and industrial disciplines such as mechanical or civil engineering, informatics, applied mathematics, and computer science.

    • Students' Guide to Programming Languages

      • 1st Edition
      • June 6, 2016
      • Malcolm Bull
      • English
      • Paperback
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      • eBook
        9 7 8 1 4 8 3 1 4 1 4 7 3
      Students' Guide to Programming Languages introduces programming languages, emphasizing why they are needed, how they are defined and constructed, and where and how they are used. With greater access to computers at work, at school, and in the home, more and more people are now able to write programs. Only a small number of these people recognize the underlying features of the programming languages they are using, and even fewer people appreciate the features that are common to most programming languages. This book demonstrates how most programming languages are based upon the same concepts and how knowledge of these concepts can benefit the analyst and the programmer. When specifying computer solutions to real problems, the systems analyst and the programmer must be able to stand back from the particular problem in hand and visualize a solution that is independent of the constraints and limitations imposed by the programming language itself. The text helps in achieving these goals. The book as well is suitable for college students following BTEC and City and Guilds courses in computer studies and IT topics, including professional commercial and end-users.

    • Tables of The Legendre Functions P—½+it(x)

      • 1st Edition
      • June 6, 2016
      • M. I. Zhurina + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 1 1 5 8 3 2
      • eBook
        9 7 8 1 4 8 3 1 4 8 2 5 0
      Tables of the Legendre Functions P–½+iτ (X), Part I tabulates in detail the Legendre spherical functions of the first kind Pv(x) with complex index v = – ½ + iτ and real values of X > – 1. P–½+iτ (X) plays an important role in mathematical physics and are used in solving boundary value problems in potential theory for domains bounded by cones, hyperboloids of revolution, two intersecting spheres, or other second order surfaces. These Legendre functions are also of theoretical interest in connection with the Meler-Fok integral expansion. This book is devoted to the tables of P–½+iτ (X) and coefficients in the asymptotic formula. Some properties of the functions P–½+iτ (X) and description of the tables are also discussed. This publication is a good source for mathematical physicists and students conducting work on Legendre functions P–½+iτ (X).

Related subjects

Mathematics and applied mathematics

Statistics and probability