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Principles of mathematics for economics (to appear). (English) Zbl 06630621

Cham: Springer (ISBN 978-3-319-44713-1/pbk; 978-3-319-44715-5/ebook). xxv, 1505 p. (2024).
Preliminary review / Publisher’s description: This textbook provides a comprehensive and rigorous introduction to various mathematical topics that play a key role in economics and finance. Motivated by economic applications, the authors introduce students to key mathematical ideas through an economic viewpoint, starting from the real line and moving to n-dimensional spaces, with a special emphasis on global optimization. Additionally, the text helps unacquainted, but intellectually curious, students become familiar with mathematical proofs.
The book is suitable for both self-study and rigorous introductory mathematics courses for undergraduate students majoring in economics or finance.

MSC:

91-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to game theory, economics, and finance
91B02 Fundamental topics (basic mathematics, methodology; applicable to economics in general)
00A06 Mathematics for nonmathematicians (engineering, social sciences, etc.)
15-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra
26-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions
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