In the early 1980s, starting a path as a mature student was quite a challenging endeavor, but it stemmed from a fervent passion. Engaging with mathematics at the University of Erlangen, the program was rigorous and demanding, yet rewarding for those who were dedicated to their scholarly pursuits. In Germany, a first degree was comparable to a master’s, referred to as a diploma in mathematics, highlighting the commitment and effort needed. Typically, the course lasted eight to nine semesters, often extending for some students due to its demanding nature.
The foundational semesters encompassed courses in analysis and algebra, with each week filled with double lectures that lasted ninety minutes, four days a week, along with problem sets and afternoon sessions for discussions and corrections. Students swiftly adapted to the challenges of this academic framework, filling notebooks with notes as they journeyed through intensive topics. For the author, analysis had a certain charm over algebra, a preference that may have hinted at their future academic inclinations.
A crucial aspect of the academic experience at Erlangen involved selecting a subsidiary subject, with philosophy being the chosen discipline, signifying the start of a new intellectual interest. A fortuitous first semester brought the author into contact with Professor Christian Thiel, a significant person in the philosophy department, who sparked a profound interest in the history and philosophy of science. This enthusiasm resulted in a key academic shift after five semesters, moving focus from mathematics to philosophy, alongside studies in history and English.
The author’s relationship with mathematics commenced long before their university days, taking root during their teenage years with O-level and A-level mathematics. A particularly striking accomplishment during A-level studies was achieving an impressive 102% on an examination centered on derivatives, reflecting a strong understanding and passion for mathematical problem-solving. Despite the challenges associated with AD(H)S, the author frequently exceeded academic expectations, fueled by a thorough understanding of the material, though exams occasionally posed difficulties.
A lifetime passion for history, a legacy from their father, a historian, further enriched the mathematics journey: Eric Temple Bell’s “Men of Mathematics.” Although the book faces criticism for its historical inaccuracies, it acted as an early inspiration, paving the way for a lifelong quest for knowledge. This initial spark intensified as the author delved into more literature in the history and philosophy of science, eventually uncovering the works of Stephen Korner and Karl Popper, shaping a deep-seated interest in the field.
A significant realization during the study of the history of mathematics was the concurrent development of calculus by Leibniz and Newton, a topic laden with historical disputes and scholarly discussion. The ‘calculus wars’ became a point of intrigue, thoroughly recorded in histories of mathematics and biographical accounts. However, deeper investigation revealed that calculus was not solely the brainchild of these two figures. Rather, it was the result of over two millennia of mathematical progress, influenced by countless contributors over the ages, with Newton and Leibniz integrating pre-existing knowledge into a unified discipline.
Little by little, the narrative surrounding the origins of calculus faced scrutiny, prompting public contemplation on its development. Through blogging and guest articles, the author shared viewpoints on this intricate history, contesting the conventional narrative of calculus’s inception. Today, a more profound investigation into the evolution of calculus aims to illuminate the extensive contributions that led to the formation of this essential mathematical discipline, inviting others to partake in this ongoing intellectual exploration.