Skip to main content

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.

  • Fractal Attractionâ„¢

    a Fractal Design System for the Macintosh®
    • 1st Edition
    • Kevin D. Lee + 1 more
    • English
    Fractal Attraction™: A Fractal Design System for the Macintosh® provides information pertinent to fractal attraction, a Macintosh application. This book introduces the Iterated Function Systems (IFS). Organized into eight chapters, this book begins with an overview of the standard and enhanced versions of fractal attraction. This text then explains the ideas and basic principles behind generating fractals based on sets of equations. Other chapters explain an alternative algorithm, the random algorithm, and how to use it. This book discusses as well the Design window wherein the user can translate, rotate, shear, and re-size transformations all by pointing, clicking and dragging. The final chapter deals with an overview of the windows and the menu items are explained in detail. This book is a valuable resource for readers who are interested in using fractal attraction application.
  • Intermediate Algebra & Analytic Geometry

    • 1st Edition
    • William R. Gondin + 1 more
    • English
    Intermediate Algebra & Analytic Geometry Made Simple focuses on the principles, processes, calculations, and methodologies involved in intermediate algebra and analytic geometry. The publication first offers information on linear equations in two unknowns and variables, functions, and graphs. Discussions focus on graphic interpretations, explicit and implicit functions, first quadrant graphs, variables and functions, determinate and indeterminate systems, independent and dependent equations, and defective and redundant systems. The text then examines quadratic equations in one variable, systems involving quadratics, and determinants. Topics include determinants of higher order, application of Cramer's rule, second-order determinants, systems linear in quadratic terms, systems treatable by substitution, systems with a linear equation, and other systems treated by comparison. The manuscript ponders on trigonometric functions and equations, straight lines, and points, distances, and slopes, including intersection points of lines, perpendicular distances, angles between lines, positions of points, inverse trigonometric functions, and trigonometric equations. The publication is a valuable source of data for readers interested in intermediate algebra and analytic geometry.
  • 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.
  • Object-Oriented Design and Programming with C++

    Your Hands-On Guide to C++ Programming, with Special Emphasis on Design, Testing, and Reuse
    • 1st Edition
    • Ronald Leach
    • English
    Object-Oriented Design and Programming with C++: Your Hands-On Guide to C++ Programming, with Special Emphasis on Design, Testing, and Reuse provides a list of software engineering principles to guide the software development process. This book presents the fundamentals of the C++ language. Organized into two parts encompassing 10 chapters, this book begins with an overview of C++ and describes object-oriented programming and the history of C++. This text then introduces classes, polymorphism, inheritance, and overloading. Other chapters consider the C++ preprocessor and organization of class libraries. This book discusses as well the scope rules, separate compilation, class libraries, and their organization, exceptions, browsers, and exception handling. The final chapter deals with the design of a moderately complex system that provides file system stimulation. This book is a valuable resource for readers who are reasonably familiar with the C programming language and want to understand the issues in object-oriented programming using C++.
  • French's Index of Differential Diagnosis

    • 11th Edition
    • F. Dudley Hart
    • English
    French's Index of Differential Diagnosis, 11th Edition focuses on treatise on the application of differential diagnosis to all the main signs and symptoms of diseases. The book covers surgery, gynecology, ophthalmology, dermatology, and neurology. The manuscript first ponders on anemia, angioma, antisocial behavior, anxiety, ascites, ataxia, abnormal blood pressure, bradycardia, foulness of breath, and pain in breast. The book then discusses confabulation, cramps, cyanosis, cystinuria, delusions, dementia, diarrhea, diplopia, depression, erythema, and inflammation of eye. The publication takes a look at indigestion, impotence, insomnia, jaundice, keloid, marasmus, muscular atrophy, nasal obstruction, nausea, nasal discharge, swelling of neck, obesity, palpitations, and pelvic swelling. The manuscript also reviews loss of weight, vertigo, vomiting, defects of vision, vaginal discharge, vaginal swelling, sore throat, pain in tongue, trismus, grinding of teeth during sleep, and snoring. The book is a vital reference for researchers wanting to study differential diagnosis.
  • Arches

    Tables for Statistical Analyses
    • 1st Edition
    • Jan Szymczyk
    • Jerzy Mutermilch
    • English
    Arches: Tables for Statistical Analyses presents a table used for simplifying the calculations of numerical determination of the magnitude of the internal forces in various cross-sections. After the evaluation of the redundancies, one of the stages in the analysis of statistically indeterminate arches is for the investigator to determine the magnitudes of the normal forces and bending moments at various cross-sections. A large number of sections should be considered in order for the investigator to get an accurate picture of the distribution of the generalized internal forces. Such number of sections varies between 10 and 20. To simplify the calculations, the book supplements the main tables for the vertical and horizontal components of reactions by auxiliary tables. These auxiliary tables give the magnitudes of normal forces and bending moments for cases usually encountered in actual practice. The book also explains the use of coefficients in the analysis of two-pinned arches with unyielding supports. The text can be useful for mathematicians, statisticians, and scientific investigators who have to deal with the analysis of numerical data.
  • 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.
  • Readings in Fuzzy Sets for Intelligent Systems

    • 1st Edition
    • Didier J. Dubois + 2 more
    • English
    Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.
  • Readings in Artificial Intelligence

    • 1st Edition
    • Bonnie Lynn Webber + 1 more
    • English
    Readings in Artificial Intelligence focuses on the principles, methodologies, advancements, and approaches involved in artificial intelligence. The selection first elaborates on representations of problems of reasoning about actions, a problem similarity approach to devising heuristics, and optimal search strategies for speech understanding control. Discussions focus on comparison with existing speech understanding systems, empirical comparisons of the different strategies, analysis of distance function approximation, problem similarity, problems of reasoning about action, search for solution in the reduction system, and relationship between the initial search space and the higher level search space. The book then examines consistency in networks of relations, non-resolution theorem proving, using rewriting rules for connection graphs to prove theorems, and closed world data bases. The manuscript tackles a truth maintenance system, elements of a plan-based theory of speech acts, and reasoning about knowledge and action. Topics include problems in reasoning about knowledge, integration knowledge and action, models of plans, compositional adequacy, truth maintenance mechanisms, dialectical arguments, and assumptions and the problem of control. The selection is a valuable reference for researchers wanting to explore the field of artificial intelligence.
  • A Simple Introduction to Data and Activity Analysis

    • 1st Edition
    • Rosemary Rock-Evans
    • English
    A Simple Introduction to Data and Activity Analysis provides an introduction to the main concepts embodied in the analysis techniques. This book provides a more balanced picture of the methods of the analysis by showing what deliverables are collected as well as how to obtain them. Organized into eight chapters, this book begins with an overview of some of the activities that need to be done to analyze the business and some of the end and intermediate deliverables produced by these activities. This text then explains how to get the activity analysis deliverables. Other chapters consider the causes and effects of problems in business. This book discusses as well how activities can be decomposed or broken down into more and more detailed activities, using the techniques of activity decomposition and data flow diagramming. The final chapter deals with the methods of analysis that show how different types of input could be converted into the data and activity models. This book is a valuable resource for computer programmers.