Further Mathematics for Economic Analysis – Knut Sydsaeter, Peter J. Hammond, Arne Strøm, Atle Seierstad – 2nd Edition

1 Topics in Linear Algebra
2 Multivariable Calculus
3 Static Optimization
4 Topics in Integration
5 Differential Equations I: First-Order Equations in One Variable
6 Differential Equations II: Second-Order Equations and Systems in the Plane
7 Differential Equations III: Higher-Order Equations
8 Calculus of Variations
9 Control Theory: Basic Techniques
10 Control Theory with Many Variables
11 Difference Equations
12 Discrete Time Optimization
13 Topology and Separation
14 Correspondences and Fixed Points

Appendix A Sets, Completeness, and Covergence
A.1 Sets and Functions
A.2 Least Upper Bound Principle
A.3 Sequences of Real Numbers
A.4 Infimum and Supremum of Functions

Appendix B Trigonometric Functions
B.1 Basic Definitions and Results
B.2 Differentiating Trigonometric Functions
B.3 Complex Numbers