Optimization theory is one of the oldest branches of mathematics, serving as a catalyst for the development of geometry and differential calculus . Today it finds applications in a myriad of scientific and engineering disciplines. The current chapter briefly surveys material that most students encounter in a good calculus course. This review is intended to showcase the variety of methods used to find the exact solutions of elementary problems. We will return to some of these methods later from a more rigorous perspective. One of the recurring themes in optimization theory is its close connection to inequalities. This chapter introduces a few classical inequalities; more will appear in succeeding chapters.
KeywordsStationary Point Differential Calculus Steep Ascent Multiplier Rule Strict Concavity
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