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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.

  • Computers and Informatics in Developing Countries

    • 1st Edition
    • Mohan Munasinghe
    • English
    Computers and Informatics in Developing Countries is a collection of papers documenting the conference of the Expert Group on Computers and Informatics for Development which investigates how the international scientific and development community can assist developing countries in using computer and informatics technology to promote progress and growth. The papers address the need for developing countries to formulate and apply computer and informatics policies for development, as well as the role of an International Centre for Computers and Informatics (ICCI) should play in the development process. The ICCI should be based on the network principle that links other regional and national computer centers. The advantages of the network principle are lower startup costs, avoidance of setting up a large organization, and localized services of needs. An international organization similar to ICCI can accelerate Third World developmental efforts following the identification of needs of developing countries as regards computer and informatics, setting of clear objectives of ICCI, and meeting with potential donors. The collection is suitable for heads of both non-government agencies and government departments involved in international aid, education, or development, and also to administrators of educational institutions and philanthropic organizations.
  • Computers and Informatics in Developing Countries

    The First Generation
    • 1st Edition
    • D.B. Arnold + 1 more
    • English
    ISO Standards for Computer Graphics: The First Generation discusses the expected standards in the quality of computer graphics; the aspects and examples of said standards; and the materials from the standards being described. The book is divided into six parts. Part 1 covers topics such as the applicability of first-generation ISO standards; software architecture; application program interface, device interface, metafile, archive, and language binding standards; and the ISO and its related bodies. Part 2 deals with topics such as output primitives and attributes, coordinate systems, and storage mechanisms. The third part talks about language bindings, encodings, and formal specifications. The fourth part tackles validation and testing; conformance testing of graphic standards; and the registration of graphical items. The book also discusses the status and future direction of ISO standards for computer graphics; it also presents in the last part the bibliography of the included topics, glossary on related bodies, and the formal specification of a part of GKS. The text is recommended for computer engineers, IT experts, and graphic designers who would like to know the ISO standards for computer graphics and its implications in their practice.
  • Proceedings of the Eighth Power Systems Computation Conference

    Helsinki, 19-24 August 1984
    • 1st Edition
    • Committee 8th Pwr Sys Comp Conf
    • English
  • Numerical Methods in Software and Analysis

    • 2nd Edition
    • John R. Rice
    • English
    Numerical Methods, Software, and Analysis, Second Edition introduces science and engineering students to the methods, tools, and ideas of numerical computation. Introductory courses in numerical methods face a fundamental problem—there is too little time to learn too much. This text solves that problem by using high-quality mathematical software. In fact, the objective of the text is to present scientific problem solving using standard mathematical software. This book discusses numerous programs and software packages focusing on the IMSL library (including the PROTRAN system) and ACM Algorithms. The book is organized into three parts. Part I presents the background material. Part II presents the principal methods and ideas of numerical computation. Part III contains material about software engineering and performance evaluation. A uniform approach is used in each area of numerical computation. First, an intuitive development is made of the problems and the basic methods for their solution. Then, relevant mathematical software is reviewed and its use outlined. Many areas provide extensive examples and case studies. Finally, a deeper analysis of the methods is presented as in traditional numerical analysis texts.
  • Introduction to Biostatistics

    A Guide to Design, Analysis and Discovery.
    • 1st Edition
    • Ronald N. Forthofer + 1 more
    • English
    The Biostatistics course is often found in the schools of public Health, medical schools, and, occasionally, in statistics and biology departments. The population of students in these courses is a diverse one, with varying preparedness. The book assumes the reader has at least two years of high school algebra, but no previous exposure to statistics is required.Written for individuals who might be fearful of mathematics, this book minimizes the technical difficulties and emphasizes the importance of statistics in scientific investigation. An understanding of underlying design and analysis is stressed. The limitations of the research, design and analytical techniques are discussed, allowing the reader to accurately interpret results. Real data, both processed and raw, are used extensively in examples and exercises. Statistical computing packages - MINITAB, SAS and Stata - are integrated. The use of the computer and software allows a sharper focus on the concepts, letting the computer do the necessary number-crunching.
  • Geometric Measure Theory

    A Beginner's Guide
    • 2nd Edition
    • Frank Morgan
    • English
    Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Morgan emphasizes geometry over proofs and technicalities, and includes a bibliography and abundant illustrations and examples. This Second Edition features a new chapter on soap bubbles as well as updated sections addressing volume constraints, surfaces in manifolds, free boundaries, and Besicovitch constant results. The text will introduce newcomers to the field and appeal to mathematicians working in the field.
  • Handbook of Mathematical Formulas and Integrals

    • 1st Edition
    • Alan Jeffrey
    • English
    If there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse.
  • Optimization Techniques in Statistics

    • 1st Edition
    • Jagdish S. Rustagi
    • English
    Statistics help guide us to optimal decisions under uncertainty. A large variety of statistical problems are essentially solutions to optimization problems. The mathematical techniques of optimization are fundamentalto statistical theory and practice. In this book, Jagdish Rustagi provides full-spectrum coverage of these methods, ranging from classical optimization and Lagrange multipliers, to numerical techniques using gradients or direct search, to linear, nonlinear, and dynamic programming using the Kuhn-Tucker conditions or the Pontryagin maximal principle. Variational methods and optimization in function spaces are also discussed, as are stochastic optimization in simulation, including annealing methods. The text features numerous applications, including:Finding maximum likelihood estimatesMarkov decision processesProgramming methods used to optimize monitoring of patients in hospitalsDerivation of the Neyman-Pearson lemmaThe search for optimal designsSimulation of a steel millSuitable as both a reference and a text, this book will be of interest to advanced undergraduate or beginning graduate students in statistics, operations research, management and engineering sciences, and related fields. Most of the material can be covered in one semester by students with a basic background in probability and statistics.
  • Further Computer Appreciation

    • 1st Edition
    • T. F. Fry
    • English
    Further Computer Appreciation is a comprehensive cover of the principles and aspects in computer appreciation. The book starts by describing the development of computers from the first to the third computer generations, to the development of processors and storage systems, up to the present position of computers and future trends. The text tackles the basic elements, concepts and functions of digital computers, computer arithmetic, input media and devices, and computer output. The basic central processor functions, data storage and the organization of data by classification of computer files, identifying records and coding are also considered. The book discusses as well the systems and management considerations, programming and software, and hardware systems. The text is useful for computer science, computer engineering and computer programming students.
  • Medieval Studies and the Computer

    Computers and The Humanities
    • 1st Edition
    • Anne Gilmour-Bryson
    • English
    Medieval Studies and the Computer focuses on the use of computers in medieval studies and humanities research. Topics covered range from encoding and concording texts to the use of conceptual glossaries by medievalists, as well as the use of computers for compiling Middle English lexicography and the Wisconsin Dictionary of the Old Spanish Language. A computer analysis of metrical patterns in the epic Beowulf and of Notker Labeo's Old High German is also presented. Comprised of 26 chapters, this volume begins by discussing "contexts" in concordances and the set of conventions employed in text encoding. The reader is then introduced to the series of initiatives undertaken in Belgium to study Latin literature and linguistics; the use of conceptual glossaries by medieval scholars; and the use of the computer to make a word list of the Decretum Gratiani and to study Geoffrey Chaucer's vocabulary. Subsequent chapters discuss a computer program called KLIC (Key Letter In Context) for graphological analysis; a set of routines written in SAIL (Stanford Artificial Intelligence Language) for use by social historians in quantitative analysis or text processing; and the use of Mark IV, a general-purpose file management system, to analyze medieval charters. This book will be of interest to medievalists, social historians, students and scholars of humanities, and computer scientists.