ABSTRACT
The aim of this book is to bring students of economics and finance who have only an introductory background in mathematics up to a quite advanced level in the subject, thus preparing them for the core mathematical demands of econometrics, economic theory, quantitative finance and mathematical economics, which they are likely to encounter in their final-year courses and beyond. The level of the book will also be useful for those embarking on the first year of their graduate studies in Business, Economics or Finance.
The book also serves as an introduction to quantitative economics and finance for mathematics students at undergraduate level and above. In recent years, mathematics graduates have been increasingly expected to have skills in practical subjects such as economics and finance, just as economics graduates have been expected to have an increasingly strong grounding in mathematics.
The authors avoid the pitfalls of many texts that become too theoretical. The use of mathematical methods in the real world is never lost sight of and quantitative analysis is brought to bear on a variety of topics including foreign exchange rates and other macro level issues.
TABLE OF CONTENTS
part |284 pages
Mathematics
chapter |1 pages
Introduction
chapter |25 pages
Systems of linear equations and matrices
chapter |23 pages
Determinants
chapter |18 pages
Eigenvalues and eigenvectors
chapter |17 pages
Conic sections, quadratic forms and definite matrices
chapter |40 pages
Vectors and vector spaces
chapter |15 pages
Linear transformations
chapter |24 pages
Foundations for vector calculus
chapter |35 pages
Difference equations
chapter |42 pages
Vector calculus
chapter |41 pages
Convexity and optimization
part |207 pages
Applications