Give Your Students the Proper Groundwork for Future Studies in
Optimization A First Course in Optimization is designed for a
one-semester course in optimization taken by advanced undergraduate
and beginning graduate students in the mathematical sciences and
engineering. It teaches students the basics of continuous
optimization and helps them better understand the mathematics from
previous courses. The book focuses on general problems and the
underlying theory. It introduces all the necessary mathematical
tools and results. The text covers the fundamental problems of
constrained and unconstrained optimization as well as linear and
convex programming. It also presents basic iterative solution
algorithms (such as gradient methods and the Newton-Raphson
algorithm and its variants) and more general iterative optimization
methods. This text builds the foundation to understand continuous
optimization. It prepares students to study advanced topics found
in the author's companion book, Iterative Optimization in Inverse
Problems, including sequential unconstrained iterative optimization
methods.
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