Essential Mathematics for Economics:A Student's Guide to Key Mathematical Techniques
Vasileios Zikos
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Vasileios Zikos: Chulalongkorn University, Thailand
in World Scientific Books from World Scientific Publishing Co. Pte. Ltd.
Abstract:
The aim of this textbook is to improve students' ability to formulate economic problems and provide essential mathematical tools for analysis across various contexts. This book presents the author's current understanding of mathematics, shaped by several years of teaching this subject as well as enriched through interactions with his students. To aid students in their learning, the book is written in a manner that better highlights key concepts and provides additional clarity where possible. In this way, it is hoped that students will feel more guided in their study of mathematics and its applications in economics.
Keywords: Microeconomics; Applied Microeconomics; Optimization; First-order Conditions; Second-order Conditions; Equality Constraints; Inequality Constraints; Concavity; Convexity; Matrix Algebra; Determinants; Differential Calculus; Integral Calculus; First-order Linear Differential Equations; Utility Maximization; Profit Maximization; Research Applications (search for similar items in EconPapers)
JEL-codes: C01 C02 C61 D00 (search for similar items in EconPapers)
Date: 2026
ISBN: 9789819814107
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https://www.worldscientific.com/worldscibooks/10.1142/14339 (text/html)
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Chapters in this book:
- Ch 1 LINEAR ALGEBRA , pp 1-23

- Vasileios Zikos
- Ch 2 DIFFERENTIAL CALCULUS , pp 25-38

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- Ch 3 CONCAVITY AND CONVEXITY OF FUNCTIONS , pp 39-56

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- Ch 4 UNCONSTRAINED OPTIMIZATION , pp 57-71

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- Ch 5 OPTIMIZATION WITH EQUALITY CONSTRAINTS , pp 73-87

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- Ch 6 OPTIMIZATION WITH INEQUALITY CONSTRAINTS , pp 89-105

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- Ch 7 INTEGRAL CALCULUS , pp 107-131

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- Ch 8 ECONOMIC DYNAMICS AND FIRST-ORDER LINEAR DIFFERENTIAL EQUATIONS , pp 133-159

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- Ch 9 RESEARCH APPLICATIONS , pp 161-196

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