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Practical mathematics in a commercial metropolis
Describes the development and the ultimate demise of the practice of mathematics in sixteenth century Antwerp. Against the background of the violent history of the Religious Wars the story of the practice of mathematics in Antwerp is told through the lives of two protagonists Michiel Coignet and Peeter Heyns. The book touches on all aspects of practical mathematics from teaching and instrument making to the practice of building fortifications of the practice of navigation.
New Perspectives on Mathematical Practices
This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck and Dirk Schlimm; and young, promising researchers at the beginning of their careers. The book is situated within a relatively new and broadly naturalistic tradition in the philosophy of mathematics. In this alternative philosophical current, which has been dramatically growing in importance in the last few decades, unlike in the traditional schools, proper attention is paid to scientific practices as informing for philosophical accounts.
Exploring Classical Greek Construction Problems with Interactive Geometry Software
In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.
Between Tradition and Innovation
Introduction: The Low Countries, Spain, and Europe -- The college and its school of mathematics -- The seventeenth century : the dawn of a new era -- Francisco de Aguilón and mathematical optics -- Gregorio a San Vicente : an ignored genius -- The creative Antwerp-Leuven period -- Exhaustion : the road to infinitesimals -- Infinitesimal calculus at work -- Rome and Prague, the final discoveries -- The erroneous circle quadrature -- Joannes della Faille and the beginning of projective geometry -- The Antwerp students -- The Leuven students -- The later disciples -- The Jesuit architects -- The influence of the school of mathematics.
Travelling Mathematics - The Fate of Diophantos' Arithmetic
In this book the author presents a comprehensive study of Diophantos’ monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. Its author, Diophantos, is an enigmatic figure of whom we know virtually nothing. Starting with Egyptian, Babylonian and early Greek mathematics the author paints a picture of the sources the Arithmetika may have had. Life in Alexandria, where Diophantos lived, is described and, on the basis of the limited available evidence, his biography is outlined. Of Arithmetika’s 13 books only 6 survive in Greek. It was not until 1971 that these were complemented by the discovery of 4 other books in an Arab...
Understanding the Sources of Early Modern and Modern Commercial Law
The contributions of Understanding the Sources of Early Modern and Modern Commercial Law show an excellent assemblage of sources which historians of commercial law use. Besides normative sources, others are often needed to complement them.
The Death of Christ
What was the world like, and what was going on in it, around the time of Jesus’ death? This study examines this very question, and also seeks to place Jesus in his larger historical context, as a non-citizen resident of the Roman Empire living in Judaea and Galilee in the 20s and 30s AD. The book explores the larger background and context to some of the major power-brokers of the Roman Empire in Jesus’ day, including the emperor Tiberius, his ambitious Praetorian Prefect Sejanus, Judaea’s governor Pontius Pilate, and the client king who governed Galilee, Herod Antipas. It further explores some of the larger historical and cultural context and background of some of the characters who pa...
Perspectives on Mathematical Practices
In the eyes of the editors, this book will be considered a success if it can convince its readers of the following: that it is warranted to dream of a realistic and full-fledged theory of mathematical practices, in the plural. If such a theory is possible, it would mean that a number of presently existing fierce oppositions between philosophers, sociologists, educators, and other parties involved, are in fact illusory.
The Ciphers of the Monks
This is the first comprehensive study of an ingenious number-notation from the Middle Ages that was devised by monks and mainly used in monasteries. A simple notation for representing any number up to 99 by a single cipher, somehow related to an ancient Greek shorthand, first appeared in early-13th-century England, brought from Athens by an English monk. A second, more useful version, due to Cistercian monks, is first attested in the late 13th century in what is today the border country between Belgium and France: with this any number up to 9999 can be represented by a single cipher. The ciphers were used in scriptoria - for the foliation of manuscripts, for writing year-numbers, preparing i...
