1. Axioms for Numbers2. Sets and Numbers3. Vectors and Lines4. Inner Products5. The Complex Plane6. Vector Geometry7. Matrix Algebra

I. Elements of the theory of setsII. Real numbersIII. Metric spacesIV. Additional properties of the real lineV. Normed spacesVI. Hilbert spacesVII. Spaces of continuous functionsVIII. Differential calculusIX. Analytic functionsX. Existence theoremsXI. Elementary spectral theory

1. Induction2. Iteration

Match wits with the great minds of the world’s greatest civilizations in this fascinating collection of ancient conundrums brainteasers and mind-benders.Dominic Olivastro presents a popular history of mathematics by focusing on the puzzles that civilizations posed for their own education and entertainment. Here are classic “puzzle problems” from ancient Africa Egypt Persia China and Greece and from cultures and texts spanning the Middle Ages and the Renaissance all the way to the present. ...