Mathematical and Experimental Modeling of Physical and Biological Processes

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A01=H.T. Banks
A01=H.T. Tran
applied mathematics
Author_H.T. Banks
Author_H.T. Tran
Cantilever Beam
Category=PB
Convective Heat Transfer Coefficient
Cost Functionals
D2p Dt2
Data Set
differential
dynamic properties of beams
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equation
Es Id Ua
Euler Bernoulli Beam Model
experimental validation
Fluid Element
frequency
Gambusia Affinis
H.T. Banks
Heat Equation
heat transfer
initial
inverse
inverse problems
iterative
mass transport analysis
mathematical modeling
mathematical modeling for engineering applications
natural
Neutral Axis
Non-constant Variance
ordinary
Ordinary Differential Equation
Parameter Estimation Problems
partial
Piezoceramic Patches
population dynamics theory
Prey Model
Prismatic Bars
problem
Rectangular Cross-sectional Area
Si Unit
Single Species Model
Size Structured Population Model
size-structured population dynamics
Spring Mass Dashpot System
statistical modeling
Tip Mass
vibrational control systems
Vice Versa
wave propagation

Product details

  • ISBN 9781420073379
  • Weight: 750g
  • Dimensions: 156 x 234mm
  • Publication Date: 12 Jan 2009
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering. For each case study problem, the authors discuss why a model is needed and what goals can be achieved with the model.

Exploring what mathematics can reveal about applications, the book focuses on the design of appropriate experiments to validate the development of mathematical models. It guides students through the modeling process, from empirical observations and formalization of properties to model analysis and interpretation of results. The authors also describe the hardware and software tools used to design the experiments so faculty/students can duplicate them.

Integrating real-world applications into the traditional mathematics curriculum, this textbook deals with the formulation and analysis of mathematical models in science and engineering. It gives students an appreciation of the use of mathematics and encourages them to further study the applied topics. Real experimental data for projects can be downloaded from CRC Press Online.

North Carolina State University, Raleigh, USA University of Maryland, College Park, USA

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