Cerreia-Vioglio, Simone; Marinacci, Massimo; Vigna, Elena 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 PDFBibTeX XMLCite \textit{S. Cerreia-Vioglio} et al., Principles of mathematics for economics (to appear). Cham: Springer (2024; Zbl 06630621)