Short Book on Long Sums

Fernando Q. Gouvêa is a number theorist and historian of mathematics. In number theory, he has been interested in the connection between p-adic modular forms and deformations of Galois representations. As a historian, his main focus is on the early history of algebraic number theory, but he has also written on other historical topics. He enjoys books and has written many book reviews for a wide range of publications. For many years, he served as an editor of MAA Focus and MAA Reviews. His current project is a forthcoming book on the history of p-adic numbers and p-adic analysis in the first decades of the twentieth century. Gouvêa’s other books include Arithmetic of p-adic Modular Forms, A Guide to Groups, Rings, and Fields, and (with William P. Berlinghoff) Math through the Ages: A Gentle History for Teachers and Others.

• - To the reader.- Getting close with lines.- Getting closer with polynomials.- Going all the way: Convergence.- Power series.- Distant mountains.- Appendix A: SageMath: A (very) short introduction.- Appendix B: Why I do it this way.- Bibliography.