This text focuses on two key components of microeconomics - optimization subject to constraints and the development of comparative statics. It assumes familiarity with calculus of one variable and basic linear algebra, allowing more extensive coverage of additional topics like constrained optimization, the chain rule, Taylor's theorem, line integrals and dynamic programming. The book contains numerous examples that illustrate economics and mathematical situations, many with complete solutions.;"Mathematics for Economists" provides a collection of topics to complement first semester PhD microeconomics course. It contains the mathematical material necessary as background for topics covered in graduate level microeconomics courses.