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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.

  • Advances in Computers

    • 1st Edition
    • Volume 77
    • Marvin Zelkowitz
    • English
    This is volume 77 of Advances in Computers. Since 1960, annual volumes are produced containing chapters by some of the leading experts in the field of computers today. For 50 years these volumes offer ideas and developments that are changing our society. This volume presents eight different topics covering many different aspects of computer science. A wide range of subjects are covered from insights into the different ways individuals can interact with electronic devices to how common law is adapting to and impacting on the Internet.
  • Handbook of Algebra

    • 1st Edition
    • Volume 6
    • M. Hazewinkel
    • English
    Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed.
  • Combinatory Logic

    • 1st Edition
    • Volume 65
    • Lev D. Beklemishev
    • English
  • Mathematical Problems in Elasticity and Homogenization

    • 1st Edition
    • Volume 2
    • O.A. Oleinik + 2 more
    • English
    This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof.It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heat-transfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations.
  • Theory of extremal problems

    • 1st Edition
    • Volume 6
    • English
  • Logic Colloquium 76, Proceedings of a conference

    • 1st Edition
    • Volume 87
    • Lev D. Beklemishev
    • English
  • Why Programs Fail

    A Guide to Systematic Debugging
    • 2nd Edition
    • Andreas Zeller
    • English
    Why Programs Fail: A Guide to Systematic Debugging is proof that debugging has graduated from a black art to a systematic discipline. It demystifies one of the toughest aspects of software programming, showing clearly how to discover what caused software failures, and fix them with minimal muss and fuss. The fully updated second edition includes 100+ pages of new material, including new chapters on Verifying Code, Predicting Erors, and Preventing Errors. Cutting-edge tools such as FindBUGS and AGITAR are explained, techniques from integrated environments like Jazz.net are highlighted, and all-new demos with ESC/Java and Spec#, Eclipse and Mozilla are included. This complete and pragmatic overview of debugging is authored by Andreas Zeller, the talented researcher who developed the GNU Data Display Debugger(DDD), a tool that over 250,000 professionals use to visualize the data structures of programs while they are running. Unlike other books on debugging, Zeller's text is product agnostic, appropriate for all programming languages and skill levels. The book explains best practices ranging from systematically tracking error reports, to observing symptoms, reproducing errors, and correcting defects. It covers a wide range of tools and techniques from hands-on observation to fully automated diagnoses, and also explores the author's innovative techniques for isolating minimal input to reproduce an error and for tracking cause and effect through a program. It even includes instructions on how to create automated debugging tools. The text includes exercises and extensive references for further study, and a companion website with source code for all examples and additional debugging resources is available.