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Part One: Foundations; 1 Arithmetic; 2 Algebra; 3 Linear equations; 4 Quadratic equations; 5 Some further equations and techniques; Part Two: Optimization with one independent variable; 6 Derivatives and differentiation; 7 Derivatives in action; 8 Economic applications of functions and derivatives; 9 Elasticity; Part Three: Mathematics of finance and growth; 10 Compound growth and present discounted value; 11 The exponential function and logarithms; 12 Continuous growth and the natural exponential function; 13 Derivatives of exponential and logarithmic functions and their applications; Part Four: Optimization with two or more independent variables; 14 Functions of two or more independent variables; 15 Maximum and minimum values, the total differential, and applications; 16 Constrained maximum and minimum values; 17 Returns to scale and homogenous functions; partial elasticities; growth accounting; logarithmic scales; Part Five: Some further topics; 18 Integration; 19 Matrix algebra; 20 Difference and differential equations; W21 Extensions and future directions (on the Online Resource Centre)

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