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Adolf Hurwitz, David Hilbert und Hermann Minkowski – drei Ausnahmemathematiker, die sich in den 1880er Jahren in Königsberg (dem heutigen Kaliningrad) beruflich und privat kennenlernten. In diesem Buch wird ihr umfangreicher Briefwechsel, soweit erhalten,...
This book addresses contemporary issues in the philosophy of mathematics that deal with the role of mathematics in explanations of empirical phenomena. It brings together various debates, such as on indispensability, number theory, abstraction principles, and...
Delving into previously undisclosed archival sources, this monograph offers a meticulously researched portrayal of Italian Jewish mathematicians amidst the turmoil sparked by the 1938 Italian Racial Laws. Forced migration due to fascist anti-Semitism saw the exodus of...
This book offers a contribution to our understanding of Nicholas of Cusa’s theory of geometry. It is based not only on his—generally more famous—philosophical texts (e.g., De docta ignorantia, Idiota, etc.), but also, and more significantly, on the...
Against a century of inclusive studies, this book presents a new interpretation of the Inca calculating board known as the yupana, based on a different set of assumptions. Instead of seeing Inca numbers as positional, like the modern Hindu-Arabic numerals used by...
This biography illuminates the life of Ennio De Giorgi, a mathematical genius in parallel with John Nash, the Nobel Prize Winner and protagonist of A Beautiful Mind. Beginning with his childhood and early years of research, into his solution of the 19th problem of...
Zero indicates the absence of a quantity or a magnitude. It is so deeply rooted in our psyche today that nobody will possibly ask "What is zero?" From the beginning of the very creation of life, the feeling of lack of something or the vision of emptiness/void has been...
Der Abituraufsatz zum Thema Des Lebens Mühe lehrt allein des Lebens Güter schätzen (Goethe) inspirierte den 16-jährigen Felix Klein zu der Aussage: „…ist ein Leben köstlich gewesen, so ist es Mühe und Arbeit...
Can one prove that 1 + 1 = 2? How long is the coastline of Britain? Which US president proved Pythagoras' theorem on right-angled triangles? Who originated the quadratic equation we learned at school? In how many ways can you tile your bathroom? Is there a formula for...
This monograph presents an interpretive essay on the foundations of Leibniz’s calculus, accompanied by key texts in English translation. The essay examines Leibniz's evolving views on infinitesimals and infinite numbers, tracing their development from his early...
This monograph traces the development of projective geometry from its Greek origins to the early 20th century. It covers Renaissance perspective studies and insights from the late sixteenth to seventeenth centuries, examining the contributions of Desargues and...
This book highlights and develops a hitherto neglected area of Hans Blumenberg's contributions, i.e., history and philosophy of science. It covers both Blumenberg’s works on the history of ideas and conceptual change, as well as his studies on transformative periods and...
For the last 30 years the Symposium on Elementary Mathematics Teaching (SEMT) has provided cutting edge excellence in research in elementary school mathematics education. From this wealth of material this book encapsulates the trends and explores how its plenary and...
This volume contains 8 papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics. Some of...
This book, which is aimed at general readers interested in maths as well as professional mathematicians, addresses numerous aspects of this spell-binding science. In particular, the book shows how mathematics is structured and how it works. Practical examples are...
This book provides a philosophy of mathematics that resonates with critical mathematics education. It draws attention to the social complexities that characterise the period of Modernity including the extreme exploitation of manual workers and their families, brutal...
Dieses Buch behandelt Grenzen als allgegenwärtige Erscheinungen verschiedener Lebenswelten. Grenzen markieren stets Zweiseitigkeit: Es gibt genau zwei Seiten, auf beiden ist oder geschieht jeweils etwas anderes, aber niemals Nichts. Der Autor arbeitet anhand...
A revelatory story of the woman who made foundational contributions to science and mathematics and persevered in the face of discrimination. Emmy Noether's mathematical genius enabled Einstein to bring his General Theory of Relativity–the basis of our current...
This text describes the process that led to knowledge becoming the most important modern good and a complex phenomenon beginning at the end of the 19th century. It was a change in the way of understanding the world proposed by mathematics and geometry. This volume...
This book both articulates and responds to increasing scholarly interest in the materiality of the book. Taking as its base the unique collection of mathematical books in the Russell Library at Maynooth, it addresses questions related to printing techniques and print...
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