Mathematics for Economists by Carl P. Simon and Lawrence Blume is a widely used graduate-level text that connects rigorous math to economic reasoning. Below is a concise, reader-friendly blog post you can use or adapt.
The final third of the book covers time. Mathematics for Economists — Carl P
The book is structured to take a student from basic algebra to advanced optimization. Key sections include: Criticism: "It's too heavy for undergrads
Simon and Blume solved this problem. Both accomplished mathematicians with a deep appreciation for economics (Simon is a renowned mathematician and political economist; Blume is a distinguished economist at Cornell), the authors crafted a text that is mathematically honest while remaining economically relevant. Mathematics for Economists — Carl P
Varian, H. R. (1992). Microeconomic analysis. W.W. Norton & Company.
He picked up his pencil. He stopped looking at the PDF and looked at the physical book. He opened it to page 664. The binding cracked, a sound like a distant gunshot. He stared at the graph of a saddle point. It was a terrifying topology—a point where stability was an illusion, where the slightest deviation meant falling away forever.
He saw it. The Jacobian matrix of his system had a positive root. The trace was positive. The determinant was negative.