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Elsevier

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.

  • Graphical Enumeration

    • 1st Edition
    • Frank Harary + 1 more
    • English
    Graphical Enumeration deals with the enumeration of various kinds of graphs. Topics covered range from labeled enumeration and George Pólya's theorem to rooted and unrooted trees, graphs and digraphs, and power group enumeration. Superposition, blocks, and asymptotics are also discussed. A number of unsolved enumeration problems are presented. Comprised of 10 chapters, this book begins with an overview of labeled graphs, followed by a description of the basic enumeration theorem of Pólya. The next three chapters count an enormous variety of trees, graphs, and digraphs. The Power Group Enumeration Theorem is then described together with some of its applications, including the enumeration of self-complementary graphs and digraphs and finite automata. Two other chapters focus on the counting of superposition and blocks, while another chapter is devoted to asymptotic numbers that are developed for several different graphical structures. The book concludes with a comprehensive definitive list of unsolved graphical enumeration problems. This monograph will be of interest to both students and practitioners of mathematics.

  • Computer Literacy

    Issues and Directions for 1985
    • 1st Edition
    • Robert J. Seidel + 2 more
    • English
    Computer Literacy: Issues and Directions for 1985 is based on a conference entitled "National Goals for Computer Literacy in 1985", held in Reston, Virginia, on December 18-20, 1980, under the auspices of the National Science Foundation. The conference provided a forum for discussing views on computer literacy, as well as methods for infusion of computer-related objectives and activities into existing curricula for different age levels. Issues and barriers to developing national goals for achieving a computer-literate society in the United States are also examined. Comprised of 31 chapters, this book begins by presenting four major approaches to a perspective on computer literacy: impact of computer literacy on the citizenry; major national components of a computer literacy program; development of an information handling curriculum for an evolving computer literacy concept; and a 30-year historical overview of "computer events in three strands" (research/developmen... education, and social/political institutional). The next section considers the definitions and requirements of computer literacy as they impact society, students, and teachers. The use of the computer in cognitive research and in problem solving is also discussed, together with curriculum development in computer literacy. This monograph will be of interest to students, teachers, school administrators, and educational policymakers.

  • Zero-Symmetric Graphs

    Trivalent Graphical Regular Representations of Groups
    • 1st Edition
    • H. S. M. Coxeter + 2 more
    • English
    Zero-Symmetric Graphs: Trivalent Graphical Regular Representations of Groups describes the zero-symmetric graphs with not more than 120 vertices.The graphs considered in this text are finite, connected, vertex-transitive and trivalent. This book is organized into three parts encompassing 25 chapters. The first part reviews the different classes of zero-symmetric graphs, according to the number of essentially different edges incident at each vertex, namely, the S, T, and Z classes. The remaining two parts discuss the theorem and characteristics of type 1Z and 3Z graphs. These parts explore Cayley graphs of specific groups, including the parameters of Cayley graphs of groups. This book will prove useful to mathematicians, computer scientists, and researchers.

  • Transonic, Shock, and Multidimensional Flows

    Advances in Scientific Computing
    • 1st Edition
    • Richard E. Meyer
    • English
    Mathematics Research Center Symposium: Transonic, Shock, and Multidimensional Flows: Advances in Scientific Computing covers the lectures presented at a Symposium on Transonic, Shock, and Multidimensional Flows, held in Madison on May 13-15, 1981, under the auspices of the Mathematics Research Center of the University of Wisconsin. The book focuses on the advancements in the scientific computation of high-speed aerodynamic phenomena and related fluid motions. The selection first elaborates on computational fluid dynamics of airfoils and wings; shock-free configurations in two- and three-dimensional transonic flow; and steady-state solution of the Euler equations for transonic flow. Discussions focus on boundary conditions, convergence acceleration, indirect design of airfoils, and trailing edge and the boundary layer. The text then examines the calculation of transonic potential flow past three-dimensional configurations and remarks on the numerical solution of Tricomi-type equations. The manuscript ponders on the design and numerical analysis of vortex methods, shock calculations and the numerical solution of singular perturbation problems, tracking of interfaces for fluid flow, and transonic flows with viscous effects. Topics include numerical algorithm, difference approximation for scalar equations, boundary conditions, transonic flow in a tube, and governing equations. The selection is a dependable reference for researchers interested in transonic, shock, and multidimensional flows.

  • Analysis and Computation of Fixed Points

    Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin—Madison, May 7-8, 1979
    • 1st Edition
    • Stephen M. Robinson
    • English
    Analysis and Computation of Fixed Points contains the proceedings of a Symposium on Analysis and Computation of Fixed Points, held at the University of Wisconsin-Madison on May 7-8, 1979. The papers focus on the analysis and computation of fixed points and cover topics ranging from paths generated by fixed point algorithms to strongly stable stationary solutions in nonlinear programs. A simple reliable numerical algorithm for following homotopy paths is also presented. Comprised of nine chapters, this book begins by describing the techniques of numerical linear algebra that possess attractive stability properties and exploit sparsity, and their application to the linear systems that arise in algorithms that solve equations by constructing piecewise-linear homotopies. The reader is then introduced to two triangulations for homotopy fixed point algorithms with an arbitrary grid refinement, followed by a discussion on some generic properties of paths generated by fixed point algorithms. Subsequent chapters deal with topological perturbations in the numerical study of nonlinear eigenvalue and bifurcation problems; general equilibrium analysis of taxation policy; and solving urban general equilibrium models by fixed point methods. The book concludes with an evaluation of economic equilibrium under deformation of the economy. This monograph should be of interest to students and specialists in the field of mathematics.

  • Algebra, Topology, and Category Theory

    A Collection of Papers in Honor of Samuel Eilenberg
    • 1st Edition
    • Alex Heller + 1 more
    • English
    Algebra, Topology, and Category Theory: A Collection of Papers in Honor of Samuel Eilenberg is a collection of papers dealing with algebra, topology, and category theory in honor of Samuel Eilenberg. Topics covered range from large modules over artin algebras to two-dimensional Poincaré duality groups, along with the homology of certain H-spaces as group ring objects. Variable quantities and variable structures in topoi are also discussed. Comprised of 16 chapters, this book begins by looking at the relationship between the representation theories of finitely generated and large (not finitely generated) modules over an artin algebra. The reader is then introduced to reduced bar constructions on deRham complexes; some properties of two-dimensional Poincaré duality groups; and properties invariant within equivalence types of categories. Subsequent chapters explore the work of Samuel Eilenberg in topology; local complexity of finite semigroups; global dimension of ore extensions; and the spectrum of a ringed topos. This monograph will be a useful resource for students and practitioners of algebra and mathematics.

  • Computer Aided Geometric Design

    • 1st Edition
    • Robert E. Barnhill + 1 more
    • English
    Computer Aided Geometric Design covers the proceedings of the First International Conference on Computer Aided Geometric Design, held at the University of Utah on March 18-21, 1974. This book is composed of 15 chapters and starts with reviews of the properties of surface patch equation and the use of computers in geometrical design. The next chapters deal with the principles of smooth interpolation over triangles and without twist constraints, as well as the graphical representation of surfaces over triangles and rectangles. These topics are followed by discussions of the B-spline curves and surfaces; mathematical and practical possibilities of UNISURF; nonlinear splines; and some piecewise polynomial alternatives to splines under tension. Other chapters explore the smooth parametric surfaces, the space curve as a folded edge, and the interactive computer graphics application of the parametric bi-cubic surface to engineering design problems. The final chapters look into the three-dimensional human-machine communication and a class of local interpolating splines. This book will prove useful to design engineers.

  • From Pixels to Animation

    An Introduction to Graphics Programming
    • 1st Edition
    • James Alan Farrell
    • English
    From Pixels to Animation: An Introduction to Graphics Programming deals with the C programming language, particularly for the Borland C and Microsoft C languages. The book reviews the basics of graphics programming, including graphics hardware, graphs, charts, changing colors, 3D graphics, high level functions provided by Borland and Microsoft C. The text also explains low-level graphics, getting around the limitations of standard, graphics libraries, SVGA programming, and creating graphics functions. Advanced topics include linear transformations, ray tracing, and fractals. The book explains in detail the aspect ratio of pixels (length of the pixel dot divided by its width), pixel colors, line styles, and the functions to create the graphic. The text also describes the presentation of a three-dimensional object by using perspective, shading, and texturing. Between the operating system, which carries out the instruction of the program, and the hardware, which displays the output of the program, is the Basic Input/Output Services (BIOS). The BIOS is a set of routine instruction inside the different parts or hardware devices in the computer. The book explains programing animation effects by utilizing routines provided by Microsoft or Borland. The text also notes that a programmer can create good animation effects by directly addressing the graphics adapter, bypassing the BIOS or the high-level routines created by Microsoft or Borland. The book is suitable for beginning programmers, computer science, operators, animators, and artists involved with computer aided designs.

  • Thinking Computers and Virtual Persons

    Essays on the Intentionality of Machines
    • 1st Edition
    • Eric Dietrich
    • English
    Thinking Computers and Virtual Persons: Essays on the Intentionality of Machines explains how computations are meaningful and how computers can be cognitive agents like humans. This book focuses on the concept that cognition is computation. Organized into four parts encompassing 13 chapters, this book begins with an overview of the analogy between intentionality and phlogiston, the 17th-century principle of burning. This text then examines the objection to computationalism that it cannot prevent arbitrary attributions of content to the various data structures and representations involved in a computational process. Other chapters consider that the notion of original intentionality is incoherent. This book argues as well that the only way to build an intelligent machine is to build a neural network. The final chapter claims that an entire theoretical framework in cognitive psychology is incompatible with the view that human brains are computers of some sort. This book is a valuable resource for cognitive scientists.

  • Mastering C Pointers

    Tools for Programming Power
    • 1st Edition
    • Robert J. Traister
    • English
    Mastering C Pointers: Tools for Programming Power focuses on the pointer operations of the C programming language, explaining exactly what pointers are and how to master them through easy-to-understand phrasing and by presenting many simple program examples. The functions of pointers with respect to memory access and memory allocation are also discussed. Comprised of 10 chapters, this book begins with the author's personal reflection on his first encounters with the C programming language and its pointers. The next two chapters presents steps to learning pointers, with emphasis on the essential processes that occur (invisibly and internally) when declaring standard numeric variables in C language and how to deal with C language character arrays and C strings. The reader is then introduced to string pointers and declared pointers of numeric types; the use of C language pointers and the memory allocation functions; and C language functions. The book also explores some of the other "entities" that pointers are used to access, including structures and unions, before concluding with an examination of the source code format of C language. This monograph is intended for both beginning and experienced C language programmers.

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