Mathematics

This book is part of the series of three books arise from lectures organized by Hitoshi Murakami at RIMS, Kyoto University in the summer of 2001. The lecture series was aimed at a broad audience that included many graduate students. Its purpose lay in familiarizing the audience with the basics of 3-manifold theory and introducing some topics of current research.

This book provides the reader with research arising from the Humboldt-Kolleg Proof; held in Bern in fall 2013, which gathered leading experts actively involved with the concept proof; in philosophy, mathematics and computer science.

The phenomenal true story of the black female mathematicians at NASA at the leading edge of the feminist and civil rights movement, whose calculations helped fuel some of America's greatest achievements in space;a powerful, revelatory contribution that is as essential to our understanding of race, discrimination, and achievement in modern America as Between the World and Me and The Immortal Life of Henrietta Lacks. Soon to be a major motion picture.

Representation theory plays an important role in algebra, and in this book Manz and Wolf concentrate on that part of the theory which relates to solvable groups.

Revised notes from the "Seminar on Atiyah-Singer Index Theorem. (AM-57)" 1963-1964.

In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics.

Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of two numbers is their minimum and the product is their sum. Tropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century.