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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.

    • Elementary Linear Algebra

      • 3rd Edition
      • October 31, 2003
      • Stephen Andrilli + 1 more
      • English
      • Paperback
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      • eBook
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      The transition to upper-level math courses is often difficult because of the shift in emphasis from computation (in calculus) to abstraction and proof (in junior/senior courses). This book provides guidance with the reading and writing of short proofs, and incorporates a gradual increase in abstraction as the chapters progress. This helps students prepare to meet the challenges of future courses such as abstract algebra and elementary analysis.
    • Sobolev Spaces

      • 2nd Edition
      • Volume 140
      • June 26, 2003
      • Robert A. Adams + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 3 9 5 8 4 1 9
      • Hardback
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      • eBook
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      Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences. This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike.
    • Advances in Computers

      • 1st Edition
      • Volume 57
      • June 3, 2003
      • Marvin Zelkowitz
      • English
      • Hardback
        9 7 8 0 1 2 0 1 2 1 5 7 1
      • eBook
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      Advances in Computers remains at the forefront in presenting the new developments in the ever-changing field of information technology. Since 1960, Advances in Computers has chronicled the constantly shifting theories and methods of this technology that greatly shape our lives today. Information Repositories focuses on the use of large data repositories to store and retrieve information. This series is an invaluable addition to any university course in computer technology, as well as finding itself at home on the bookshelf of industrial practitioners.
    • Stochastic Processes: Modeling and Simulation

      • 1st Edition
      • Volume 21
      • February 24, 2003
      • D N Shanbhag
      • English
      • Hardback
        9 7 8 0 4 4 4 5 0 0 1 3 7
      This sequel to volume 19 of Handbook on Statistics on Stochastic Processes: Modelling and Simulation is concerned mainly with the theme of reviewing and, in some cases, unifying with new ideas the different lines of research and developments in stochastic processes of applied flavour. This volume consists of 23 chapters addressing various topics in stochastic processes. These include, among others, those on manufacturing systems, random graphs, reliability, epidemic modelling, self-similar processes, empirical processes, time series models, extreme value therapy, applications of Markov chains, modelling with Monte Carlo techniques, and stochastic processes in subjects such as engineering, telecommunications, biology, astronomy and chemistry. particular with modelling, simulation techniques and numerical methods concerned with stochastic processes. The scope of the project involving this volume as well as volume 19 is already clarified in the preface of volume 19. The present volume completes the aim of the project and should serve as an aid to students, teachers, researchers and practitioners interested in applied stochastic processes.
    • Digital Arithmetic

      • 1st Edition
      • June 10, 2003
      • MiloÅ¡ D. Ercegovac + 1 more
      • English
      • Hardback
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      • Paperback
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      • eBook
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      Digital arithmetic plays an important role in the design of general-purpose digital processors and of embedded systems for signal processing, graphics, and communications. In spite of a mature body of knowledge in digital arithmetic, each new generation of processors or digital systems creates new arithmetic design problems. Designers, researchers, and graduate students will find solid solutions to these problems in this comprehensive, state-of-the-art exposition of digital arithmetic.Ercegovac and Lang, two of the field's leading experts, deliver a unified treatment of digital arithmetic, tying underlying theory to design practice in a technology-independe... manner. They consistently use an algorithmic approach in defining arithmetic operations, illustrate concepts with examples of designs at the logic level, and discuss cost/performance characteristics throughout. Students and practicing designers alike will find Digital Arithmetic a definitive reference and a consistent teaching tool for developing a deep understanding of the "arithmetic style" of algorithms and designs.
    • Mathematical Modelling

      • 1st Edition
      • June 1, 2003
      • S J Lamon + 2 more
      • English
      • Paperback
        9 7 8 1 9 0 4 2 7 5 0 3 9
      • eBook
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      Mathematical modelling is often spoken of as a way of life, referring to habits of mind and to dependence on the power of mathematics to describe, explain, predict and control real phenomena. This book aims to encourage teachers to provide opportunities for students to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education. Habits, misconceptions, and mindsets about mathematics can present obstacles to university students’ acceptance of a ‘‘models-and-modelli... perspective’’ at this stage of mathematics education. Without prior experience in building, interpreting and applying mathematical models, many students may never come to view and regard modelling as a way of life. The book records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003.
    • Statistical Methods

      • 2nd Edition
      • January 7, 2003
      • Rudolf J. Freund + 1 more
      • English
      • eBook
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      This broad text provides a complete overview of most standard statistical methods, including multiple regression, analysis of variance, experimental design, and sampling techniques. Assuming a background of only two years of high school algebra, this book teaches intelligent data analysis and covers the principles of good data collection.
    • Geometric Computations with Interval and New Robust Methods

      • 1st Edition
      • December 1, 2003
      • H Ratschek + 1 more
      • English
      • Paperback
        9 7 8 1 8 9 8 5 6 3 9 7 6
      • eBook
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      This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors. It also considers computations on geometric point-sets, which are neither robust nor reliable in processing with standard methods. The authors provide two effective tools for obtaining correct results: (a) interval arithmetic, and (b) ESSA the new powerful algorithm which improves many geometric computations and makes them rounding error free.
    • Parallel Computational Fluid Dynamics 2002

      • 1st Edition
      • April 25, 2003
      • K. Matsuno + 4 more
      • English
      • Hardback
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      • eBook
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      This volume is proceedings of the international conference of the Parallel Computational Fluid Dynamics 2002. In the volume, up-to-date information about numerical simulations of flows using parallel computers is given by leading researchers in this field. Special topics are "Grid Computing" and "Earth Simulator". Grid computing is now the most exciting topic in computer science. An invited paper on grid computing is presented in the volume. The Earth-Simulator is now the fastest computer in the world. Papers on flow-simulations using the Earth-Simulator are also included, as well as a thirty-two page special tutorial article on numerical optimization.