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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.

  • Breakdowns in Computer Security

    Commentary and Analysis
    • 1st Edition
    • Michael E Rentell
    • Peter M Jenner
    • English
    Breakdowns in Computer Security: Commentary and Analysis is a compendium of 100 genuine incidents that have taken place in the past three or so years. The book describes computer breakdown incidents during the years 1988-1990 and provides to each incident a short comment indicating where improvements could have been made to alleviate or prevent the more damaging aspects of the problem. The types of generic risks (i.e. line tapping, espionage, communications failure, theft, malicious programming, hacking, disaster, and virus) that exist around IT systems into which each of the incidents described has been categorized are also considered. The book provides a complete analysis of the overall situation in respect of risks and threats to assets due to computer systems. References on computer weekly publications are also provided. Senior management personnel with responsibilities for data processing operations and company IT personnel will find this book beneficial.

  • Digital Differential Analysers

    International Series of Monographs on Electronics and Instrumentation
    • 1st Edition
    • A. V. Shileiko
    • D. W. Fry + 1 more
    • English
    Digital Differential Analysers presents the principles, operations, design, and applications of digital differential analyzers, a machine with the ability to present initial quantities and the possibility of dividing them into separate functional units performing a number of basic mathematical operations. The book discusses the theoretical principles underlying the operation of digital differential analyzers, such as the use of the delta-modulation method and function-generator units. Digital integration methods and the classes of digital differential analyzer designs are also reviewed. The text enumerates the applications of digital differential analyzers, especially in the solution of various mathematical problems, and its applications in automatic control systems. Computer scientists, programmers, computer engineers, systems analysts, mathematicians, and students of computer science will find the book an interesting read.

  • Complexes and Manifolds

    The Mathematical Works of J. H. C. Whitehead
    • 1st Edition
    • I. M. James
    • English
    The Mathematical Works of J. H. C. Whitehead, Volume 2: Complexes and Manifolds contains papers that are related in some way to the classification problem for manifolds, especially the Poincare conjecture, but towards the end one sees the gradual transition in the direction of algebraic topology. This volume includes all Whitehead's published work up to the year 1941, as well as a few later papers. The book begins with a list of Whitehead's works, in chronological order of writing. This is followed by separate chapters on topics such as analytical complexes; duality and intersection chains in combinatorial analysis situs; three-dimensional manifolds; doubled knots; certain sets of elements in a free group; certain invariants introduced by Reidemeister; and the asphericity of regions in a 3-sphere. Also included are chapters on the homotopy type of manifolds; the incidence matrices, nuclei and homotopy types; vector fields on the n-sphere; and operators in relative homotopy groups.

  • Lattice Theory

    The Common Wealth and International Library: Mathematics Division
    • 1st Edition
    • Thomas Donnellan
    • W. J. Langford + 2 more
    • English
    Lattice Theory presents an elementary account of a significant branch of contemporary mathematics concerning lattice theory. This book discusses the unusual features, which include the presentation and exploitation of partitions of a finite set. Organized into six chapters, this book begins with an overview of the concept of several topics, including sets in general, the relations and operations, the relation of equivalence, and the relation of congruence. This text then defines the relation of partial order and then partially ordered sets, including chains. Other chapters examine the properties of meet and join and explain dimensional considerations. This book discusses as well certain relations between individual elements of a lattice, between subsets of a lattice, and between lattices themselves. The final chapter deals with distributive lattices and explores the complements in distributive lattices. This book is a valuable resource for college and university students of mathematics, logic, and such technologies as communications engineering.

  • Software for Computer Control 1982

    Proceedings of the Third IFAC/IFIP Symposium, Madrid, Spain, 5-8 October 1982
    • 1st Edition
    • G. Ferrate + 1 more
    • English
    Software for Computer Control 1982 covers the proceedings of the Third IFAC/IFIP Symposium. The book discusses the state of software development for digital computer applications for science and control. With a total of 73 papers, the book covers topics such as real-time language and operating systems; man-machine communication software; software for robots; software for distributed control systems; C.A.D. of digital computer controls systems; algorithms for digital computer control; control software engineering and management; and industrial applications. Computer scientists, engineers, and I.T. professionals will find this book interesting, since it provides discussions on the various applications of computer programs.

  • Solution of Cubic and Quartic Equations

    • 1st Edition
    • S. Neumark
    • English
    Solution of Cubic and Quartic Equations presents the classical methods in solving cubic and quartic equations to the highest possible degree of efficiency. This book suggests a rapid and efficient method of computing the roots of an arbitrary cubic equation with real coefficients, by using specially computed 5-figure tables. The method of factorizing an arbitrary quartic equation by an appropriate use of a resolvent cubic is also discussed. Section 4 of this text gives several numerical examples that show the rapidity of the procedures suggested. This publication is valuable to mathematicians and students intending to acquire knowledge of the cubic and quartic equations.

  • Mathematical Analysis

    Differentiation and Integration
    • 1st Edition
    • I.G. Aramanovich + 2 more
    • I. N. Sneddon
    • English
    Mathematical Analysis: Differentiation and Integration is devoted to two basic operations of mathematical analysis, differentiation and integration. The problems directly connected with the operations of differentiation and integration of functions of one or several variables are discussed, together with elementary generalizations of these operations. This volume is comprised of seven chapters and begins by considering the differentiation of functions of one variable and of n variables, paying particular attention to derivatives and differentials as well as their properties. The next chapter deals with composite and implicit functions of n variables in connection with differentiation, along with the representation of functions in the form of superpositions. Subsequent chapters offer detailed accounts of systems of functions and curvilinear coordinates in a plane and in space; the integration of functions; and improper integrals. The final chapter examines the transformation of differential and integral expressions. This book will be a useful resource for mathematicians and mathematics students.

  • A Course of Higher Mathematics

    Adiwes International Series in Mathematics, Volume 1
    • 1st Edition
    • V. I. Smirnov
    • A. J. Lohwater
    • English
    A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R. This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables. The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. This book also examines the applications of differential calculus to geometry. For example, the equations to determine the differential of arc or the parameters of a curve are shown. This text then notes the basic problems involving integral calculus, particularly regarding indefinite integrals and their properties. The application of definite integrals in the calculation of area of a sector, the length of arc, and the calculation of the volumes of solids of a given cross-section are explained. This book further discusses the basic theory of infinite series, applications to approximate evaluations, Taylor's formula, and its extension. Finally, the geometrical approach to the concept of a number is reviewed. This text is suitable for physicists, engineers, mathematicians, and students in higher mathematics.

  • Molecular Geometry

    • 1st Edition
    • Alison Rodger + 1 more
    • English
    Molecular Geometry discusses topics relevant to the arrangement of atoms. The book is comprised of seven chapters that tackle several areas of molecular geometry. Chapter 1 reviews the definition and determination of molecular geometry, while Chapter 2 discusses the unified view of stereochemistry and stereochemical changes. Chapter 3 covers the geometry of molecules of second row atoms, and Chapter 4 deals with the main group elements beyond the second row. The book also talks about the complexes of transition metals and f-block elements, and then covers the organometallic compounds and transition metal clusters. The last chapter tackles the consequences of small, local variations in geometry. The text will be of great use to chemists who primarily deal with the properties of molecules and atoms.

  • Direct and Converse Theorems

    The Elements of Symbolic Logic
    • 1st Edition
    • I. S. Gradshtein
    • I. N. Sneddon + 2 more
    • English
    Direct and Converse Theorems: The Elements of Symbolic Logic, Third Edition explains the logical relations between direct, converse, inverse, and inverse converse theorems, as well as the concept of necessary and sufficient conditions. This book consists of two chapters. The first chapter is devoted to the question of negation. Connected with the question of the negation of a proposition are interrelations of the direct and converse and also of the direct and inverse theorems; the interrelations of necessary and sufficient conditions; and the definition of the locus of a point. The second chapter explains several questions of mathematical logic–a science that is being developed in connection with the theory of mathematical proof. This edition is provided with a large number of problems and questions to help easily understand the material. The book is intended for students studying mathematics, specifically at intermediate colleges of various types. The text is also a useful reference for university students and teachers.

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