Foundations of Mathematical Modeling and Analysis in Engineering - Brossura

Watson, A. Ted

 
9780443295928: Foundations of Mathematical Modeling and Analysis in Engineering

Sinossi

Foundations of Mathematical Modeling and Analysis for Engineering is designed for first-year graduate and advanced undergraduate engineering students. The book explores linear system theory and demonstrates its application in developing analytical solutions to various equations, essential for describing physical systems through mathematical modeling. This foundation is crucial for learning and research in engineering and various scientific fields. It equips students with the mathematical tools needed to solve entire classes of linear algebraic, ordinary-, and partial-differential equations, while also teaching principles for formulating, organizing, and solving linear subsystems, all of which are vital components of both linear and nonlinear mathematical models.

This knowledge prepares students for advanced studies in engineering, applied mathematics, and foundational sciences.

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Informazioni sull?autore

Professor Emeritus A. Ted Watson holds a BS from University of Texas at Austin and a PhD from California Institute of Technology, both in chemical engineering. He attained the position of Professor at Texas A&M University (TAMU) before joining Colorado State University (CSU) as the founding department head of chemical & biological engineering. He has advanced mathematical modeling and system and parameter identification while working within a variety of fields. He established the Engineering Imaging Laboratory at TAMU and Rocky Mountain Magnetic Resonance at CSU and was elected Fellow of the American Institute of Chemical Engineers (AIChE).

Dalla quarta di copertina

Foundations of Mathematical Modeling and Analysis in Engineering offers a comprehensive presentation of the mathematical principles underpinning modern engineering and the quantitative sciences. Designed for graduate and advanced undergraduate students, as well as seasoned professionals, this book bridges the gap between abstract mathematical theory and real-world engineering applications.
It equips students with the mathematical tools needed to solve essential classes of algebraic, ordinary-, and partial-differential equations, while also teaching principles for formulating, analyzing, and solving linear subsystems that are vital components for working with both linear and nonlinear mathematical models. Methods are provided to specify associated model properties and parameters from system observations, and to evaluate the efficacy of candidate models for characterizing processes.

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