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Books in Applied mathematics

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101-110 of 143 results in All results

Beyond Wavelets

  • 1st Edition
  • Volume 10
  • September 8, 2003
  • Grant Welland
  • English
  • 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.Classical 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 mathematicalfoundations 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.Investigators 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

  • 1st Edition
  • August 15, 2003
  • Isaak D. Mayergoyz
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 5 8 9 - 0
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.

Digital Arithmetic

  • 1st Edition
  • June 10, 2003
  • MiloÅ¡ D. Ercegovac + 1 more
  • English
  • Hardback
    9 7 8 - 1 - 5 5 8 6 0 - 7 9 8 - 9
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 0 4 0 - 6
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-independent 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
  • eBook
    9 7 8 - 0 - 8 5 7 0 9 - 9 5 4 - 9
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-modelling 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.

Mathematical Modelling in Education and Culture

  • 1st Edition
  • May 1, 2003
  • Q-X Ye + 3 more
  • English
  • eBook
    9 7 8 - 0 - 8 5 7 0 9 - 9 5 5 - 6
The mathematical modelling movement in mathematics education at school and university level has been influencing curricula for about 25 years. Lecturers will find material to enhance their teaching and extracurricular activities and educators will find innovative ideas to inform their course design and focus their research, while students will find interesting problems to explore.

Scientific and Engineering Computations for the 21st Century - Methodologies and Applications

  • 1st Edition
  • December 3, 2002
  • M. Mori + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 5 0 9 9 4 - 9
The 20th century saw tremendous achievements and progress in science and technology. Undoubtedly, computers and computer-related technologies acted as one of vital catalysts for accelerating this progress in the latter half of the century. The contributions of mathematical sciences have been equallyprofound, and the synergy between mathematics and computer science has played akey role in accelerating the progress of both fields as well as scienceand engineering.Mathematical sciences will undoubtedly continue to play this vital role in thisnew century. In particular, mathematical modeling and numerical simulation will continue to be among the essential methodologies for solving massive and complex problems that arise in science, engineering and manufacturing. Underpinning this all from a sound, theoretical perspective will be numerical algorithms. In recognition of this observation, this volume focuses on the following specific topics.(1) Fundamental numerical algorithms(2) Applications of numerical algorithms(3) Emerging technologies.The articles included in this issue by experts on advanced scientific and engineering computations from numerous countries elucidate state-of-the-art achievements in these three topics from various angles and suggest the future directions. Although we cannot hope to cover all the aspects in scientific and engineering computations, we hope that the articles will interest, inform and inspire members of the science and engineering community.

Handbook of Dynamical Systems

  • 1st Edition
  • Volume 1A
  • August 20, 2002
  • B. Hasselblatt + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 3 4 4 - 5
Volumes 1A and 1B.These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys.The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics.Volume 1B will appear 2005.

Handbook of Computer Aided Geometric Design

  • 1st Edition
  • August 13, 2002
  • G. Farin + 2 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 3 4 0 - 7
This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering.This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposureto this subject.

Pyramid Algorithms

  • 1st Edition
  • July 10, 2002
  • Ron Goldman
  • English
  • Hardback
    9 7 8 - 1 - 5 5 8 6 0 - 3 5 4 - 7
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 1 5 4 7 - 2
Pyramid Algorithms presents a unique approach to understanding, analyzing, and computing the most common polynomial and spline curve and surface schemes used in computer-aided geometric design, employing a dynamic programming method based on recursive pyramids.The recursive pyramid approach offers the distinct advantage of revealing the entire structure of algorithms, as well as relationships between them, at a glance. This book-the only one built around this approach-is certain to change the way you think about CAGD and the way you perform it, and all it requires is a basic background in calculus and linear algebra, and simple programming skills.

Nonlinear Partial Differential Equations and Their Applications

  • 1st Edition
  • Volume 31
  • June 21, 2002
  • Doina Cioranescu + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 7 6 7 - 2
This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.