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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.

  • On Growth, Form and Computers

    • 1st Edition
    • Sanjeev Kumar + 1 more
    • English
    Conceived for both computer scientists and biologists alike, this collection of 22 essays highlights the important new role that computers play in developmental biology research. Essays show how through computer modeling, researchers gain further insight into developmental processes. Featured essays also cover their use in designing computer algorithms to tackle computer science problems in areas like neural network design, robot control, evolvable hardware, and more. Peter Bentley, noted for his prolific research on evolutionary computation, and Sanjeev Kumar head up a respected team to guide readers through these very complex and fascinating disciplines.
  • Mathematics for Multimedia

    • 1st Edition
    • Mladen Victor Wickerhauser
    • English
    Mathematics for Multimedia explains the mathematics behind multimedia applications such as compression, signal processing, and image/video processing. This timely and thoroughly modern text is a rigorous survey of selected results from algebra and analysis, requiring only undergraduate math skills. More specifically, it focuses on when and why modern robust methods provide more accurate results. The topics are 'gems' chosen for their usefulness in understanding and creating application software for multimedia signal processing and communication. The course Mathematics for Multimedia has been offered biennially at Washington University since 1997. It has proved popular with students from sophomores to beginning graduate students who seek an innovative course of rigorous contemporary mathematics with practical applications. For the instructor, the material is divided into six chapters that may be presented in six lecture hours each. Thus, the entire text may be covered in one semester, with time left for examinations and student projects. For the student, there are more than 100 exercises with complete solutions, and numerous example programs in Standard C. Each chapter ends with suggestions for further reading. The book also describes and illustrates easy-to-use software for applying cutting-edge techniques. This book is aimed at a wide audience, including computer science and multimedia students and professors as well as those interested in employing mathematics in multimedia design and implementation.
  • Beyond Wavelets

    • 1st Edition
    • Volume 10
    • Grant Welland
    • English
    "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.
  • Mathematical Models of Hysteresis and their Applications

    Second Edition
    • 1st Edition
    • Isaak D. Mayergoyz
    • English
    This new edition has been significantly revised and updated to reflect advances in the field since the publication of the first edition, such as the systematic experimental testing of Preisach models of hysteresis. The author has, however, retained the two most salient features of the original, the emphasis on the universal nature of mathematical models of hysteresis and their applicability to the description of hysteresis phenomena in various areas of science, technology and economics and its accessibility to a broad audience of researchers, engineers, and students.
  • Introductory Statistics for Engineering Experimentation

    • 1st Edition
    • Peter R. Nelson + 2 more
    • English
    The Accreditation Board for Engineering and Technology (ABET) introduced a criterion starting with their 1992-1993 site visits that "Students must demonstrate a knowledge of the application of statistics to engineering problems." Since most engineering curricula are filled with requirements in their own discipline, they generally do not have time for a traditional two semesters of probability and statistics. Attempts to condense that material into a single semester often results in so much time being spent on probability that the statistics useful for designing and analyzing engineering/scientif... experiments is never covered. In developing a one-semester course whose purpose was to introduce engineering/scientif... students to the most useful statistical methods, this book was created to satisfy those needs.
  • Advances in Computers

    Highly Dependable Software
    • 1st Edition
    • Volume 58
    • Marvin Zelkowitz
    • English
    Since 1960, Advances in Computers has chronicled the constantly shifting theories and methods of Information Technology which greatly shapes our lives today. Highly Dependable Software is the 58th volume in this Series. The seven chapters describe various approaches towards dependability: software development measurability, transformation oriented programming, Bounded Model Checking, GUI testing, history and lessons from software inspections, impact and problems related to errors in software, the evolution of the various security policies. This book would be an invaluable addition to any university course in computer technology, and an excellent reference tool for industrial practitioners.
  • Advances in Computers

    • 1st Edition
    • Volume 59
    • Marvin Zelkowitz
    • English
    Since 1960, Advances in Computers has chronicled the constantly shifting theories and methods of Information Technology which greatly shapes our lives today. This volume, the 59th in the series, presents two general themes. The first 4 papers discuss tool use in developing software - how groups work together to produce a product, and why the very industries that need them often do NOT adopt such tools. The fifth paper addresses a current hardware issue - cache coherence. As we build faster machines, a way to increase performance is to have multiple CPUs working on solving the same problem. This requires two or more CPUs to address the same memory at the same time. The cache coherence problem is how to allow both machines to access the same memory without "stepping on each others toes" so that memory gets lost or corrupted.
  • Numerical Methods for Fluids, Part 3

    • 1st Edition
    • Volume 9
    • P.G. Ciarlet
    • English
  • Measure Theory and Integration

    • 2nd Edition
    • G De Barra
    • English
    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.
  • Calculations for Molecular Biology and Biotechnology

    A Guide to Mathematics in the Laboratory
    • 1st Edition
    • Frank H. Stephenson
    • English
    Calculations in Molecular Biology and Biotechnology: A Guide to Mathematics in the Laboratory is the first comprehensive guide devoted exclusively to calculations encountered in the genetic engineering laboratory. Mathematics, as a vital component of the successful design and interpretation of basic research, is used daily in laboratory work. This guide, written for students, technicians, and scientists, provides example calculations for the most frequently confronted problems encountered in gene discovery and analysis. The text and sample calculations are written in an easy-to-follow format. It is the perfect laboratory companion for anyone working in DNA manipulation and analysis.