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For undergraduate and postgraduate courses in math's for economics and math's for econometrics at level 1 and 2 in Economics Departments, also suitable for general math's courses on Social Science degrees.
The first volume of this two volume series presents an introduction to mathematical analysis through comprehensive and rigorous topics ranging from elementary algebra to advanced topics, whilst focusing on the core topics of mathematics for economists. The major strength of this text is its mathematical reliability, and in-keeping the growing demand this text includes more elementary material, whilst more advanced topics will publish in Volume II. Through the incorporation of a wealth of problem and answer material and clear arguments and explanations of mathematical.
List of contents
1. Introductory Topics,~II: Algebra
2. Introductory Topics,~II: Equations
3. Introductory Topics,~III: Miscellaneous
4. Functions of One Variable
5. Properties of Functions
6. Differentiation
7. Implicit Differentiation and Continuity
8. Single-Variable Optimization
9. Integration
10. Mathematics of Finance
11. Functions of Several Variables
12. Tools for Comparative Statics
13. Multivariable Optimization
14. Equality Constraints The Greek Alphabet
Answers to Odd-Numbered Problems
Index
About the author
Knut Sydsaeter ist Professor für Mathematik an der Wirtschaftsfakultät der Universität Oslo mit langjähriger Unterrichtserfahrung in Mathematik für Wirtschaftswissenschaftler. Daneben gab er Kurse in Dynamischer Optimierung in Yale, Berkeley und Göteborg. Seine Mathematikbücher wurden bereits in mehrere Sprachen übersetzt.
Peter Hammond ist Professor für Ökonomie an der Stanford Universität. Er war Mitherausgeber des Review of Economic Studies und der Econometric Society Monograph Series. Im Moment ist er Mitglied im Herausgebergremium des Social Choice and Welfare und des Journal of Economic Theory.
Summary
The book is primarily intended for undergraduate courses in Mathematics for Economists at first and second year level. Students are expected to have completed A-Level mathematics, or at least a preliminary course. However, there is considerable coverage of basic material in early revision or 'catch-up' chapters. The book is also appropriate for students of other social sciences who are taking a general mathematics course. Essential Mathematics for Economic Analysisprovides an invaluable introduction to mathematical analysis for economists and students from other social science backgrounds taking a general course in mathematics. The coverage is comprehensive, ranging from elementary algebra to more advanced material, whilst focusing on all the core topics usually taught in undergraduate courses on mathematics for economists.