Mathematics and Its History

John Stillwell is Professor Emeritus at the University of San Francisco and formerly Associate Professor at Monash University in Melbourne, Australia. He is an accomplished author, whose Springer books include: The Four Pillars of Geometry, Elements of Algebra, Naive Lie Theory, and many more.

“This is a beautiful book. … it would be fun to teach a course from it and I hope to get that chance. … This book flows so well that I did not feel anything was lacking from it. … I am confident that the many readers of Stillwell’s work will find it satisfying and worthwhile to update their libraries with this edition. Those currently unfamiliar with his work will find this a delightful place to begin.” (Michele Intermont, MAA Reviews, October 18, 2021)

• 1. The Theorem of Pythagoras.- 2. Greek Geometry.- 3. Greek Number Theory.- 4. Infinity in Greek Mathematics.- 5. Polynomial Equations.- 6. Algebraic Geometry.- 7. Projective Geometry.- 8. Calculus.- 9. Infinite Series.- 10. Elliptic Curves and Functions.- 11. Complex Numbers and Curves.- 12. Complex Numbers and Functions.- 13. Non-Euclidean Geometries.- 14. Group Theory.- 15. Topology.- 16. Commutative Algebra.- 17. Sets, Logic, and Computation.- Bibliography.- Index.