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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

    • Computers and Microprocessors

      • 1st Edition
      • June 6, 2016
      • George H. Olsen + 1 more
      • English
      • Paperback
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      • eBook
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      Computers and Microprocessors: Made Simple covers the basic concepts and applications of computers and microprocessors. The book discusses the basic concepts behind the architecture of a small digital computer including logic systems and the major functional blocks of the computer. The text also tackles the applications and operation of analog computers, electronic analog computers, and digital computers and its software (higher-level programming languages and flowcharts). Microprocessors are also discussed with regard to its evolution, architecture, types, and future trends. Students taking computer courses will find the book useful.

    • A Collection of Problems on a Course of Mathematical Analysis

      • 1st Edition
      • June 6, 2016
      • G. N. Berman
      • I. N. Sneddon + 2 more
      • English
      • Paperback
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      • eBook
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      A Collection of Problems on a Course of Mathematical Analysis is a collection of systematically selected problems and exercises (with corresponding solutions) in mathematical analysis. A common instruction precedes a group of problems of the same type. Problems with a physics content are preceded by the necessary physical laws. In the case of more or less difficult problems, hints are given in the answers. This book is comprised of 15 chapters and begins with an overview of functions and methods of specifying them; notation for and classification of functions; elementary investigation of functions; and trigonometric and inverse trigonometric functions. The following chapters deal with limits and tests for their existence; differential calculus, with emphasis on derivatives and differentials; functions and curves; definite and indefinite integrals; and methods of evaluating definite integrals. Some applications of the integral in geometry, statics, and physics are also considered; along with functions of several variables; multiple integrals and iterated integration; line and surface integrals; and differential equations. The final chapter is devoted to trigonometric series. This monograph is intended for students studying mathematical analysis within the framework of a technical college course.

    • MSX Made Simple

      • 1st Edition
      • June 6, 2016
      • Margaret Norman
      • English
      • Paperback
        9 7 8 0 4 3 4 9 8 4 0 6 0
      • eBook
        9 7 8 1 4 8 3 1 4 1 4 8 0

    • Partial Differential Equations of Mathematical Physics

      • 1st Edition
      • June 6, 2016
      • S. L. Sobolev
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 0 0 8 0 1 3 7 2 0 9
      • eBook
        9 7 8 1 4 8 3 1 8 1 3 6 3
      Pure and Applied Mathematics, Volume 56: Partial Differential Equations of Mathematical Physics provides a collection of lectures related to the partial differentiation of mathematical physics. This book covers a variety of topics, including waves, heat conduction, hydrodynamics, and other physical problems. Comprised of 30 lectures, this book begins with an overview of the theory of the equations of mathematical physics that has its object the study of the integral, differential, and functional equations describing various natural phenomena. This text then examines the linear equations of the second order with real coefficients. Other lectures consider the Lebesgue–Fubini theorem on the possibility of changing the order of integration in a multiple integral. This book discusses as well the Dirichlet problem and the Neumann problem for domains other than a sphere or half-space. The final lecture deals with the properties of spherical functions. This book is a valuable resource for mathematicians.

    • A Course of Mathematical Analysis

      • 1st Edition
      • June 6, 2016
      • A. F. Bermant
      • I. N. Sneddon + 2 more
      • English
      • Paperback
        9 7 8 0 0 8 0 1 3 4 7 1 0
      • eBook
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      A Course of Mathematical Analysis, Part I is a textbook that shows the procedure for carrying out the various operations of mathematical analysis. Propositions are given with a precise statement of the conditions in which they hold, along with complete proofs. Topics covered include the concept of function and methods of specifying functions, as well as limits, derivatives, and differentials. Definite and indefinite integrals, curves, and numerical, functional, and power series are also discussed. This book is comprised of nine chapters and begins with an overview of mathematical analysis and its meaning, together with some historical notes and the geometrical interpretation of numbers. The reader is then introduced to functions and methods of specifying them; notation for and classification of functions; and elementary investigation of functions. Subsequent chapters focus on limits and rules for passage to the limit; the concepts of derivatives and differentials in differential calculus; definite and indefinite integrals and applications of integrals; and numerical, functional, and power series. This monograph will be a valuable resource for engineers, mathematicians, and students of engineering and 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

    • Exploring University Mathematics

      • 1st Edition
      • June 6, 2016
      • Mary Bradburn + 2 more
      • N. J. Hardiman
      • English
      • Paperback
        9 7 8 0 0 8 0 1 2 9 0 2 0
      • eBook
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      Exploring University Mathematics, Volume 3 provides information pertinent to pure and applied mathematics. This book discusses the close relationship between mathematics and physics. Organized into seven chapters, this volume begins with an overview of the concept of mapping in mathematics, which provides a correspondence between elements of one set with elements of another. This text then examines the theory of inflatable structures in the study of the hovercrafs in two dimensions. Other chapters consider the explicit investigation of logic by mathematicians whereby mathematics has been conceived as pre-eminently a deductive science. This book discusses as well how Taylor's formula is used in various aspects, including integration, approximating functions, finding roots of algebraic equations, and solving differential equations in forms suitable for computer calculations. This book is intended to be suitable for students on a degree course in mathematics. Mathematicians, teachers, and research workers will also find this book extremely useful.

    • A Course of Higher Mathematics

      • 1st Edition
      • June 6, 2016
      • V. I. Smirnov
      • I. N. Sneddon + 2 more
      • English
      • Paperback
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      • eBook
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      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.

    • A Collection of Problems in Analytical Geometry

      • 1st Edition
      • June 6, 2016
      • D. V. Kletenik
      • W. J. Langford + 1 more
      • English
      • Paperback
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      • Hardback
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      • eBook
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      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.

    • Mathematics with Understanding

      • 1st Edition
      • June 6, 2016
      • Harold Fletcher + 1 more
      • C. Plumtpon
      • English
      • Paperback
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      • eBook
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      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.

Related subjects

Mathematics and applied mathematics

Statistics and probability