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A Functional Analysis Framework for Modeling, Estimation and Control in Science
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A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering Hardcover - 2012 - 1st Edition

by H. T. Banks


From the publisher

A Modern Framework Based on Time-Tested Material
A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering presents functional analysis as a tool for understanding and treating distributed parameter systems. Drawing on his extensive research and teaching from the past 20 years, the author explains how functional analysis can be the basis of modern partial differential equation (PDE) and delay differential equation (DDE) techniques.

Recent Examples of Functional Analysis in Biology, Electromagnetics, Materials, and Mechanics
Through numerous application examples, the book illustrates the role that functional analysis-a classical subject-continues to play in the rigorous formulation of modern applied areas. The text covers common examples, such as thermal diffusion, transport in tissue, and beam vibration, as well as less traditional ones, including HIV models, uncertainty in noncooperative games, structured population models, electromagnetics in materials, delay systems, and PDEs in control and inverse problems. For some applications, computational aspects are discussed since many problems necessitate a numerical approach.

Details

  • Title A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering
  • Author H. T. Banks
  • Binding Hardcover
  • Edition number 1st
  • Edition 1
  • Pages 280
  • Volumes 1
  • Language ENG
  • Publisher CRC Press
  • Date 2012-06-22
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9781439880838 / 1439880832
  • Weight 1.35 lbs (0.61 kg)
  • Dimensions 9.3 x 6.2 x 0.9 in (23.62 x 15.75 x 2.29 cm)
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Library of Congress subjects Functional analysis, Engineering - Mathematical models
  • Library of Congress Catalog Number 2012009388
  • Dewey Decimal Code 515.7

About the author

H.T. Banks is a Distinguished University Professor and Drexel Professor of Mathematics at North Carolina State University, where he is also the director of the Center for Research in Scientific Computation and co-director of the Center for Quantitative Sciences in Biomedicine. He currently serves on the editorial boards of 14 journals and has published over 425 papers in applied mathematics and engineering journals. A fellow of the IEEE, IoP, SIAM, and AAAS, Dr. Banks has received numerous honors, including the W.T. and Idalia Reid Prize in Applied Mathematics from SIAM, the Lord Robert May Prize from the Journal of Biological Dynamics, and Best Paper Awards from the ASME and ACS.

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