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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.

    • Measure Theory and Integration

      • 2nd Edition
      • July 1, 2003
      • G De Barra
      • English
      • Paperback
        9 7 8 1 9 0 4 2 7 5 0 4 6
      • eBook
        9 7 8 0 8 5 7 0 9 9 5 2 5
      This text approaches integration via measure theory as opposed to measure theory via integration, an approach which makes it easier to grasp the subject. Apart from its central importance to pure mathematics, the material is also relevant to applied mathematics and probability, with proof of the mathematics set out clearly and in considerable detail. Numerous worked examples necessary for teaching and learning at undergraduate level constitute a strong feature of the book, and after studying statements of results of the theorems, students should be able to attempt the 300 problem exercises which test comprehension and for which detailed solutions are provided.
    • Object-Oriented Design with UML and Java

      • 1st Edition
      • December 17, 2003
      • Kenneth Barclay + 1 more
      • English
      • Paperback
        9 7 8 0 7 5 0 6 6 0 9 8 3
      • eBook
        9 7 8 0 0 8 0 4 9 7 5 5 6
      Object-Oriented Design with UML and Java provides an integrated introduction to object-oriented design with the Unified Modelling Language (UML) and the Java programming language. The book demonstrates how Java applications, no matter how small, can benefit from some design during their construction. Fully road-tested by students on the authors' own courses, the book shows how these complementary technologies can be used effectively to create quality software. It requires no prior knowledge of object orientation, though readers must have some experience of Java or other high level programming language. This book covers object technology; object-oriented analysis and design; and implementation of objects with Java. It includes two case studies dealing with library applications. The UML has been incorporated into a graphical design tool called ROME, which can be downloaded from the book's website. This object modelling environment allows readers to prepare and edit various UML diagrams. ROME can be used alongside a Java compiler to generate Java code from a UML class diagram then compile and run the resulting application for hands-on learning. This text would be a valuable resource for undergraduate students taking courses on O-O analysis and design, O-O modelling, Java programming, and modelling with UML.
    • Progress in Optice

      • 1st Edition
      • February 13, 2003
      • Brian Evans
      • English
      • eBook
        9 7 8 0 0 8 0 8 8 0 1 0 5
    • Mathematica by Example

      • 3rd Edition
      • December 10, 2003
      • Martha L. Abell + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 0 4 1 5 6 3 2
      • eBook
        9 7 8 0 0 8 0 4 9 1 7 9 0
      This third edition of Mathematica by Example is completely compatible with recent Mathematica versions. Highly readable and informative, this volume is geared toward the beginning Mathematica user, and focuses on the most often used features of this powerful tool. The book covers popular applications of mathematics within different areas including calculus, linear algebra, ordinary differential equations, and partial differential equations.
    • Beyond Wavelets

      • 1st Edition
      • Volume 10
      • September 8, 2003
      • Grant Welland
      • English
      • Paperback
        9 7 8 0 1 2 4 1 1 3 0 6 0
      • Hardback
        9 7 8 0 1 2 7 4 3 2 7 3 1
      • eBook
        9 7 8 0 0 8 0 5 2 7 8 0 2
      "Beyond Wavelets" presents state-of-the-art theories, methods, algorithms, and applications of mathematical extensions for classical wavelet analysis. Wavelets, introduced 20 years ago byMorlet and Grossmann and developed very rapidly during the 1980's and 1990's, has created a common link between computational mathematics and other disciplines of science and engineering.Classica... wavelets have provided effective and efficient mathematical tools for time-frequency analysis which enhances and replaces the Fourier approach.However, with the current advances in science and technology, there is an immediate need to extend wavelet mathematical tools as well. "Beyond Wavelets" presents a list of ideas and mathematicalfoundati... for such extensions, including: continuous and digital ridgelets, brushlets, steerable wavelet packets, contourlets, eno-wavelets, spline-wavelet frames, and quasi-affine wavelets. Wavelet subband algorithms are extended to pyramidal directional and nonuniform filter banks. In addition, this volume includes amethod for tomographic reconstruction using a mechanical image model and a statistical study for independent adaptive signal representation.Inves... already familiar with wavelet methods from areas such as engineering, statistics, and mathematics will benefit by owning this volume.
    • Intelligent Systems for Information Processing: From Representation to Applications

      • 1st Edition
      • November 7, 2003
      • B. Bouchon-Meunier + 2 more
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 3 7 9 3
      • eBook
        9 7 8 0 0 8 0 5 2 5 6 5 5
      Intelligent systems are required to enhance the capacities being made available to us by the internet and other computer based technologies. The theory necessary to help providing solutions to difficult problems in the construction of intelligent systems are discussed. In particular, attention is paid to situations in which the available information and data may be imprecise, uncertain, incomplete or of a linguistic nature. Various methodologies to manage such information are discussed. Among these are the probabilistic, possibilistic, fuzzy, logical, evidential and network-based frameworks.One purpose of the book is not to consider these methodologies separately, but rather to consider how they can be used cooperatively to better represent the multiplicity of modes of information. Topics in the book include representation of imperfect knowledge, fundamental issues in uncertainty, reasoning, information retrieval, learning and mining, as well as various applications.Key Features:• Tools for construction of intelligent systems• Contributions by world leading experts• Fundamental issues and applications• New technologies for web searching• Methods for modeling uncertain information• Future directions in web technologies• Transversal to methods and domains
    • Special Volume: Foundations of Computational Mathematics

      • 1st Edition
      • Volume 11
      • May 30, 2003
      • Phillipe G. Ciarlet
      • English
      • Hardback
        9 7 8 0 4 4 4 5 1 2 4 7 5
      From geometric integration and its applications, and linear programming and condition numbers under the real number computational model, to chaos in finite difference schemes, these essays explore the foundational issues of computational mathematics.
    • Statistics and Probability for Engineering Applications

      • 1st Edition
      • April 14, 2003
      • William DeCoursey
      • English
      • eBook
        9 7 8 0 0 8 0 4 8 9 7 5 9
      Statistics and Probability for Engineering Applications provides a complete discussion of all the major topics typically covered in a college engineering statistics course. This textbook minimizes the derivations and mathematical theory, focusing instead on the information and techniques most needed and used in engineering applications. It is filled with practical techniques directly applicable on the job. Written by an experienced industry engineer and statistics professor, this book makes learning statistical methods easier for today's student. This book can be read sequentially like a normal textbook, but it is designed to be used as a handbook, pointing the reader to the topics and sections pertinent to a particular type of statistical problem. Each new concept is clearly and briefly described, whenever possible by relating it to previous topics. Then the student is given carefully chosen examples to deepen understanding of the basic ideas and how they are applied in engineering. The examples and case studies are taken from real-world engineering problems and use real data. A number of practice problems are provided for each section, with answers in the back for selected problems. This book will appeal to engineers in the entire engineering spectrum (electronics/electri... mechanical, chemical, and civil engineering); engineering students and students taking computer science/computer engineering graduate courses; scientists needing to use applied statistical methods; and engineering technicians and technologists.
    • Handbook of Algebra

      • 1st Edition
      • Volume 3
      • October 15, 2003
      • English
      • eBook
        9 7 8 0 0 8 0 5 3 2 9 7 4