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Writing the History of Mathematics: Its Historical Development
As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.
Vita Mathematica
Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.
The Geometry of an Art
This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.
European Women in Mathematics
Deformation quantisation and connections / S. Gutt -- What is symplectic geometry? / D. McDuff -- Regular permutation groups and Cayley graphs / C.E. Praeger -- Arithmetic of elliptic curves through the ages / R. Sujatha -- Tricritical points and liquid-solid critical lines / A. Aitta -- Elastic waves in rods of rectangular cross section / A.A. Bondarenko -- Natural extensions for the golden mean / K. Dajani & C. Kalle -- An equivariant tietze extension theorem for proper actions of locally compact groups / A. Feragen -- On uniform tangential approximation by lacunary power series / G. Harutyunyan -- Cyclic division algebras in apace-time coding : a brief overview / C. Hollanti -- And what became of the women? / C. Series -- Three great Girton mathematicians / R.M. Williams -- What about the women now? / R.M. Williams -- Mathematics in society (taking into account gender-aspects) - a one-semester course (BSc) / C. Scharlach
Activity and Sign
The advancement of a scientific discipline depends not only on the "big heroes" of a discipline, but also on a community’s ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives, created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part motivated by the impressing variety of Otte’s thoughts; however, the idea is not to look back, but to find out where the research agenda might lead us in the future. This volume provides new sources of knowledge based on Michael Otte’s fundamental insight that understanding the problems of mathematics education – how to teach, how to learn, how to communicate, how to do, and how to represent mathematics – depends on means, mainly philosophical and semiotic, that have to be created first of all, and to be reflected from the perspectives of a multitude of diverse disciplines.
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...
From Natural Philosophy to the Sciences
During the nineteenth century, much of the modern scientific enterprise took shape: scientific disciplines were formed, institutions and communities were founded, and unprecedented applications to and interactions with other aspects of society and culture occurred. In this book, eleven leading historians of science assess what their field has taught us about this exciting time and identify issues that remain unexamined or require reconsideration. They treat both scientific disciplines—biology, physics, chemistry, the earth sciences, mathematics, and the social sciences—in their specific intellectual and sociocultural contexts as well as the broader topics of science and medicine; science...
Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945
Although today's mathematical research community takes its international character very much for granted, this ``global nature'' is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom thegoal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and nationa...
The Development of Mathematics in Medieval Europe
The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.
