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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.

BooksJournals

    • Fractional Differential Equations

      • 1st Edition
      • Volume 198
      • October 21, 1998
      • Igor Podlubny
      • English
      • Hardback
        9 7 8 0 1 2 5 5 8 8 4 0 9
      • eBook
        9 7 8 0 0 8 0 5 3 1 9 8 4
      This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'.This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models.In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research.A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications.

    • Principles of Real Analysis

      • 3rd Edition
      • August 26, 1998
      • Charalambos D. Aliprantis
      • Owen Burkinshaw
      • English
      • Hardback
        9 7 8 0 1 2 0 5 0 2 5 7 8
      • Paperback
        9 7 8 0 1 2 3 9 1 0 9 9 8
      • eBook
        9 7 8 0 0 8 0 5 7 3 1 0 6
      With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniell Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis.

    • Projects for Calculus

      • 2nd Edition
      • November 3, 1998
      • Keith D. Stroyan
      • English
      • Paperback
        9 7 8 0 1 2 6 7 3 0 3 1 9
      • eBook
        9 7 8 0 0 8 0 5 3 9 9 4 2
      Projects for Calculus is designed to add depth and meaning to any calculus course. The fifty-two projects presented in this text offer the opportunity to expand the use and understanding of mathematics. The wide range of topics will appeal to both instructors and students. Shorter, less demanding projects can be managed by the independent learner, while more involved, in-depth projects may be used for group learning. Each task draws on special mathematical topics and applications from subjects including medicine, engineering, economics, ecology, physics, and biology.

    • Experimental Design Techniques in Statistical Practice

      • 1st Edition
      • January 1, 1998
      • William P Gardiner + 1 more
      • English
      • Paperback
        9 7 8 1 8 9 8 5 6 3 3 5 8
      • eBook
        9 7 8 0 8 5 7 0 9 9 7 8 5
      Provides an introduction to the diverse subject area of experimental design, with many practical and applicable exercises to help the reader understand, present and analyse the data. The pragmatic approach offers technical training for use of designs and teaches statistical and non-statistical skills in design and analysis of project studies throughout science and industry.

    • Vector Calculus

      • 1st Edition
      • May 1, 1998
      • William Cox
      • English
      • Paperback
        9 7 8 0 3 4 0 6 7 7 4 1 4
      • eBook
        9 7 8 0 0 8 0 5 7 2 9 5 6
      Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration.Undergra... who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differential equations will find it a useful introduction and basic reference.

    • Parallel Computational Fluid Dynamics '97

      • 1st Edition
      • April 17, 1998
      • D. Emerson + 4 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 4 4 2 5 4
      • eBook
        9 7 8 0 0 8 0 5 3 8 3 7 2
      Computational Fluid Dynamics (CFD) is a discipline that has always been in the vanguard of the exploitation of emerging and developing technologies. Advances in both algorithms and computers have rapidly been absorbed by the CFD community in its quest for more accurate simulations and reductions in the time to solution. Within this context, parallel computing has played an increasingly important role. Moreover, the uptake of parallel computing has brought the CFD community into ever-closer contact with hardware vendors and computer scientists. The multidisciplinary subject of parallel CFD and its rapidly evolving nature, in terms of hardware and software, requires a regular international meeting of this nature to keep abreast of the most recent developments.Paralle... CFD '97 is part of an annual conference series dedicated to the discussion of recent developments and applications of parallel computing in the field of CFD and related disciplines. This was the 9th in the series, and since the inaugural conference in 1989, many new developments and technologies have emerged. The intervening years have also proved to be extremely volatile for many hardware vendors and a number of companies appeared and then disappeared. However, the belief that parallel computing is the only way forward has remained undiminished. Moreover, the increasing reliability and acceptance of parallel computers has seen many commercial companies now offering parallel versions of their codes, many developed within the EC funded EUROPORT activity, but generally for more modest numbers of processors. It is clear that industry has not moved to large scale parallel systems but it has shown a keen interest in more modest parallel systems recognising that parallel computing will play an important role in the future. This book forms the proceedings of the CFD '97 conference, which was organised by the the Computational Engineering Group at Daresbury Laboratory and held in Manchester, England, on May 19-21 1997. The sessions involved papers on many diverse subjects including turbulence, reactive flows, adaptive schemes, unsteady flows, unstructured mesh applications, industrial applications, developments in software tools and environments, climate modelling, parallel algorithms, evaluation of computer architectures and a special session devoted to parallel CFD at the AEREA research centres. This year's conference, like its predecessors, saw a continued improvement in both the quantity and quality of contributed papers.Since the conference series began many significant milestones have been acheived. For example in 1994, Massively Parallel Processing (MPP) became a reality with the advent of Cray T3D. This, of course, has brought with it the new challenge of scalability for both algorithms and architectures. In the 12 months since the 1996 conference, two more major milestones were achieved: microprocessors with a peak performance of a Gflop/s became available and the world's first Tflop/s calculation was performed. In the 1991 proceedings, the editors indicated that a Tflop/s computer was likely to be available in the latter half of this decade. On December 4th 1996, Intel achieved this breakthrough on the Linpack benchmark using 7,264 (200MHz) Pentium Pro microprocessors as part of the ASCI Red project. With the developments in MPP, the rapid rise of SMP architectures and advances in PC technology, the future for parallel CFD looks both promising and challenging.

    • Handbook of Coding Theory

      • 1st Edition
      • Volume II
      • November 16, 1998
      • Bozzano G Luisa
      • English
      • Hardback
        9 7 8 0 4 4 4 5 0 0 8 7 8
      • eBook
        9 7 8 0 0 8 0 9 2 9 1 3 2
      The second volume of this work contains Parts 2 and 3 of the "Handbook of Coding Theory". Part 2, "Connections", is devoted to connections between coding theory and other branches of mathematics and computer science. Part 3, "Applications", deals with a variety of applications for coding.

    • Handbook of Proof Theory

      • 1st Edition
      • Volume 137
      • July 9, 1998
      • S.R. Buss
      • English
      • Hardback
        9 7 8 0 4 4 4 8 9 8 4 0 1
      • Paperback
        9 7 8 0 4 4 4 5 5 1 3 7 5
      • eBook
        9 7 8 0 0 8 0 5 3 3 1 8 6
      This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth.The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.

    • Time-Frequency/Time-Scale Analysis

      • 1st Edition
      • Volume 10
      • September 21, 1998
      • Patrick Flandrin
      • English
      • Hardback
        9 7 8 0 1 2 2 5 9 8 7 0 8
      • eBook
        9 7 8 0 0 8 0 5 4 3 0 3 1
      This highly acclaimed work has so far been available only in French. It is a detailed survey of a variety of techniques for time-frequency/time-... analysis (the essence of "Wavelet Analysis"). This book has broad and comprehensive coverage of a topic of keen interest to a variety of engineers, especially those concerned with signal and image processing. Flandrin provides a discussion of numerous issues and problems that arise from a mixed description in time and frequency, as well as problems in interpretation inherent in signal theory.

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