Ivor Grattan-Guinness Libri

The collection features essays from a prominent historian of mathematics, exploring the intellectual foundations of the discipline. It delves into significant topics in mathematical history and highlights the intriguing and often strange narratives surrounding pseudomath. Organized thematically, these writings provide insight into the evolution of mathematical thought and its cultural implications.

Focusing on the collaboration between Bertrand Russell and A. N. Whitehead, this comprehensive history delves into the mathematical logic and philosophy that emerged from their seminal work, Principia Mathematica. I. Grattan-Guinness explores the mathematical background, key concepts, and lasting influence of their contributions, providing a detailed examination of how their ideas shaped the field of mathematics and logic. This work stands out as the first of its kind, offering a thorough analysis of a pivotal moment in mathematical thought.

The book traces the evolution of mathematics from ancient Greek and medieval Arab contributions to its systematic development in Europe up to the early twentieth century. It explores the growth of various mathematical fields, including arithmetic, geometry, trigonometry, and algebra, while highlighting the connections between mathematics, physics, and astronomy. Additionally, it introduces newer disciplines like probability and statistics, offering a thorough and authoritative narrative on the foundational role of mathematics in the sciences.

The collection features a diverse range of essays that delve into various topics, showcasing insightful analyses and reflections. Each piece offers a unique perspective, encouraging readers to engage with complex themes and ideas. The essays invite contemplation on contemporary issues, making them relevant and thought-provoking for a broad audience. Through this compilation, the author aims to stimulate discussion and deepen understanding of the subjects explored.

Alfred Tarski was a pivotal figure in 20th-century mathematics, contributing significantly to various fields including geometry, set theory, and algebraic logic. His extensive teaching career spanned both universities and secondary schools. Many of his early writings, primarily in Polish, were largely overlooked until recently, highlighting the challenge of accessing his foundational ideas. This exploration of Tarski's work sheds light on his influence and the evolution of mathematical thought.