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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.

  • Modern Dimension Theory

    • 1st Edition
    • Jun-Iti Nagata
    • N. G. De Bruijn + 2 more
    • English
    Bibliotheca Mathematica, Volume 6: Modern Dimension Theory provides a brief account of dimension theory as it has been developed since 1941, including the principal results of the classical theory for separable metric spaces. This book discusses the decomposition theorem, Baire's zero-dimensional spaces, dimension of separable metric spaces, and characterization of dimension by a sequence of coverings. The imbedding of countable-dimensiona... spaces, sum theorem for strong inductive dimension, and cohomology group of a topological space are also elaborated. This text likewise covers the uniformly zero-dimensional mappings, theorems in euclidean space, transfinite inductive dimension, and dimension of non-metrizable spaces. This volume is recommended to students and specialists researching on dimension theory.

  • Modern General Topology

    • 2nd Edition
    • Jun-Iti Nagata
    • N. G. De Bruijn + 2 more
    • English
    Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume VII: Modern General Topology focuses on the processes, operations, principles, and approaches employed in pure and applied mathematics, including spaces, cardinal and ordinal numbers, and mappings. The publication first elaborates on set, cardinal and ordinal numbers, basic concepts in topological spaces, and various topological spaces. Discussions focus on metric space, axioms of countability, compact space and paracompact space, normal space and fully normal space, subspace, product space, quotient space, and inverse limit space, convergence, mapping, and open basis and neighborhood basis. The book then ponders on compact spaces and related topics, as well as product of compact spaces, compactification, extensions of the concept of compactness, and compact space and the lattice of continuous functions. The manuscript tackles paracompact spaces and related topics, metrizable spaces and related topics, and topics related to mappings. Topics include metric space, paracompact space, and continuous mapping, theory of inverse limit space, theory of selection, mapping space, imbedding, metrizability, uniform space, countably paracompact space, and modifications of the concept of paracompactness. The book is a valuable source of data for mathematicians and researchers interested in modern general topology.

  • Arithmetic for the Mature Student

    • 1st Edition
    • F. H. George
    • F. H. George
    • English
    Arithmetic for the Mature Student provides information pertinent to the basic operations of arithmetic, including addition, subtraction, multiplication, and division. This book covers a variety of topics, including percentages, fractions, and factors. Organized into five chapters, this book begins with an overview of the instructions on how to use the book. This text then explains arithmetic, which is made up of a set of rules for performing jobs with ordinary numbers. Other chapters consider adding, subtracting, multiplying, and dividing numbers that come between 0 and 1. This book discusses as well an alternative notation for describing fractions. The final chapter deals with that particular type of standard fraction called a percentage. This book is a valuable resource for students in arithmetic.

  • Introduction to Ordinary Differential Equations

    Academic Press International Edition
    • 1st Edition
    • Albert L. Rabenstein
    • English
    Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.

  • Elements of Probability Theory

    • 1st Edition
    • L. Z. Rumshiskii
    • English
    Elements of Probability Theory presents the methods of the theory of probability. This book is divided into seven chapters that discuss the general rule for the multiplication of probabilities, the fundamental properties of the subject matter, and the classical definition of probability. The introductory chapters deal with the functions of random variables; continuous random variables; numerical characteristics of probability distributions; center of the probability distribution of a random variable; definition of the law of large numbers; stability of the sample mean and the method of moments; and Chebyshev’s theorem. The next chapters consider the limit theorem of de Moivre-Laplace and the solution of two fundamental problems in the theory of errors. The discussion then shifts to the best linear approximation to the regression function. The concluding chapters look into the central limit theorem of Lyapunov and the significance of the value of the coefficient of correlation. The book can provide useful information to the statisticians, students, and researchers.

  • Contributions to Logic and Methodology

    In Honor of J.M. Bochenski
    • 1st Edition
    • Anna-Teresa Tymieniecka
    • English
    Contributions to Logic and Methodology in Honor of J. M. Boche?ski focuses on the influence, contributions, and legacy of J. M. Boche?ski in the fields of logic and methodology. The selection first offers information on some remarks on inferential deduction, modal logic with eight modalities, and method and logic in presocratic explanation. Discussions focus on inference, evidence, hypothesis, generalization, semantical discussion, proof of necessity, multiple dialogues, and construction trees. The text then elaborates on reification, quotation, and nominalization, logic of preference and choice, and sense, denotation, and the context of sentences. Topics include axioms of preference and of choice, economic context, methodological remarks, reification, nominalization, and quotation. The manuscript examines conjectural inference and phenomenological analysis, including anticipatory evidence and choice of method, conjecture of the universal order, conjectural requirement of the architectonic project, and outline of the program of conjectural inquiry. The selection is a dependable source of information for philosophers and researchers interested in the influence and contributions of J. M. Boche?ski to logic and methodology.

  • Planning IT

    • 1st Edition
    • David J Silk
    • English
    Planning IT provides a framework for assessing and improving the practice of information management in organizations. It describes the ways in which senior managers can diagnose the situation in their enterprise and generate an appropriate action plan. The book thus helps the manage, to make a more proactive and informed response to the opportunities of modern information technology and information systems. Comprised of nine chapters, this book begins with an introduction to six guidelines for information management: establish an information management partnership; distinguish the potential benefits of information technology and information systems; think strategically about information management; identify the benefits and their value; manage the achievement of the benefits; and prepare for the future. The next six chapters address each of these guidelines in more detail, and each chapter ends with a set of questions which the manager should consider in the context of himself/herself and his/her enterprise. This will produce a score, and some action points, as part of an information management audit. The eighth chapter explains how to produce a consolidated action plan, structured according to the time scale of the individual actions (short- or long-term) and according to whether they are personal or team actions in the enterprise. The last chapter consolidates the book's main points and exhorts the manager to action. This monograph is intended for both senior managers and non-specialists in information technology.

  • Theoretical Aspects of Reasoning About Knowledge

    Proceedings of the 1986 Conference
    • 1st Edition
    • Joseph Y. Halpern
    • English
    Theoretical Aspects of Reasoning About Knowledge: Proceedings of the 1986 Conference focuses on the principles, methodologies, approaches, and concepts involved in reasoning about knowledge. The selection first provides an overview of reasoning about knowledge, varieties of self-reference, and pegs and alecs. Topics covered include data semantics, partial objects and identity, circumstance, self, and causal connection, structure of circumstance, varieties and limits of self-reference, problem of logical omniscience, and knowledge, communication, and action. The book then explores reasoning about knowledge in artificial intelligence; synthesis of digital machines with provable epistemic properties; and a first order theory of planning, knowledge, and action. The publication ponders on the consistency of syntactical treatments of knowledge, foundations of knowledge for distributed systems, knowledge and implicit knowledge in a distributed environment, and the logic of distributed protocols. Topics include formal syntax and semantics, structure of models, message-based knowledge worlds, changing the class of messages, implicit knowledge in message-based knowledge worlds, conservation and implicit knowledge, and distributed protocols. The selection is a dependable source of data for researchers interested in the theoretical aspects of reasoning about knowledge.

  • Proceedings of the Third International Conference on Data and Knowledge Bases

    Improving Usability and Responsiveness
    • 1st Edition
    • C. Beeri + 2 more
    • English
    Proceedings of the Third International Conference on Data and Knowledge Bases: Improving Usability and Responsiveness compiles papers presented at the Third International Conference on Data and Knowledge Bases held in Jerusalem, Israel on June 28-30, 1988. This book discusses the management system for graph-like documents, selection of processing strategies for different recursive queries, and supporting concurrent access to facts in logic programs. The design considerations for a Prolog database engine, experience with the domain algebra, and two level transaction management in a multiprocessor database machine are also described. This publication likewise covers the non-deterministic choice in Datalog and locally balanced compact Trie Hashing. This compilation is a good source for researchers and specialists of disciplines related to computer science.

  • Data Modelling and Process Modelling using the most popular Methods

    Covering SSADM, Yourdon, Inforem, Bachman, Information Engineering and 'Activity/Object' Diagramming Techniques
    • 1st Edition
    • Rosemary Rock-Evans
    • English
    Computer Weekly Professional Series: Data modeling and Process modeling: Using the Most Popular Methods focuses on the processes, methodologies, and approaches employed in data modeling and process modeling. The book first offers information on data modeling, how to do data modeling, and process modeling. Discussions focus on diagrammatic representation, main concepts of process modeling, merging the models, refining the data model, diagrammatic techniques, fundamental rules of data modeling, and other deliverables of data modeling. The text then examines how to do process modeling and improving a system using analysis deliverables. Topics include problems, causes and effects, events, obligations and objectives, verification methods, and refining the results. The manuscript reviews elementary activities, including structured text and access paths, updating the data model from the access paths and structured English, and other useful detailed deliverables of an elementary activity. The publication is a valuable source of data for researchers interested in data modeling and process modeling.

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