MATHEMATICAL AND EXPERIMENTAL MODELING OF PHYSICAL AND BIOLOGICAL PROCESSES

Subject ISBN Author Publisher Number of Pages Title Year Price
MATHEMATICS 9781138626850 H.T. Banks, H.T. Tran CRC India 298 MATHEMATICAL AND EXPERIMENTAL MODELING OF PHYSICAL AND BIOLOGICAL PROCESSES 2017 Rs. 1035/-
Author: H.T. Banks, H.T. Tran
Description: 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. Integrating real-world applications into the traditional mathematics curriculum, this textbook deals with the formulation and analysis of mathematical models in science and engineering.
Table of Content: * Introduction: The Iterative Modeling Process * Modeling and Inverse Problems * Mechanical Vibrations * Inverse Problems * Mathematical and Statistical Aspects of Inverse Problems * Probability and Statistics Overview * Parameter Estimation or Inverse Problems * Computation of sigman, Standard Errors, and Confidence Intervals * Investigation of Statistical Assumptions * Statistically Based Model Comparison Techniques * Mass Balance and Mass Transport * Introduction * Compartmental Concepts * Compartment Modeling * General Mass Transport Equations * Heat Conduction * Motivating Problems * Mathematical Modeling of Heat Transfer * Experimental Modeling of Heat Transfer * Structural Modeling: Force/Moments Balance * Motivation: Control of Acoustics/Structural Interactions * Introduction to Mechanics of Elastic Solids * Deformations of Beams * Separation of Variables: Modes and Mode Shapes * Numerical Approximations: Galerkins Method * Energy Functional Formulation * The Finite Element Method * Experimental Beam Vibration Analysis * Beam Vibrational Control and Real-Time Implementation * Introduction * Controllability and Observability of Linear Systems * Design of State Feedback Control Systems and State Estimators * Pole Placement (Relocation) Problem * Linear Quadratic Regulator Theory * Beam Vibrational Control: Real-Time Feedback Control Implementation * Wave Propagation * Fluid Dynamics * Fluid Waves * Experimental Modeling of the Wave Equation * Size-Structured Population Models * Introduction: AMotivating Application * ASingle Species Model (Malthusian Law) * The Logistic Model * APredator/Prey Model * ASize-Structured Population Model * The Sinko–Streifer Model and Inverse Problems * Size Structure and Mosquitofish Populations * Appendix A: An Introduction to Fourier Techniques * Fourier Series * Fourier Transforms * Appendix B: Review of Vector Calculus * References appear at the end of each chapter

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