Renshaw: Maths for Economics 2e 
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Additional chapter and appendices
Chapter W21 'Extensions and future directions', written by Professor Norman Ireland of Warwick University, provides an introduction to some more advanced topics which should help undergraduate students intending to take further modules in mathematical economics in their second or later years of study, as well as postgraduate students.
To download the complete chapter as a PDF document click the link below:
Chapter W21: Extensions and future directions (PDF 1.3MB)
The four sections of the chapter can also be downloaded individually:
Section 21.1: Introduction and 21.2: Functions and analysis (PDF 538KB)
Section 21.3: Comparative statics (PDF 188KB)
Section 21.4: Second order difference equations (PDF 166KB)
Appendices (PDF 251KB)
Appendix W21.1 Proof of Taylor’s theorem
Appendix W21.2 Using Taylor’s formula to relate production function forms
Appendix W21.3 The firm’s maximum profit function with two products
Appendix W21.4 Removing the imaginary number
The solutions to the progress exercises in the chapter can be found here.
There are some further exercises to accompany the chapter as well as the answers to these exercises.
Additional appendices
To download the appendices for chapters 11, 13, 17, and 18 click the links below:
- Chapter 11 appendix
- The family of exponential and logarithmic functions
- Chapter 13 appendix
- Derivatives of exponential and logarithmic functions
- Chapter 17 appendix
- Proofs of rules 17.5 and 17.7
- Chapter 18 appendix
- Fundamental theorems of the indefinite and definite integrals
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