Christoph J. Scriba - Böcker

This is the first volume of a six volume compendium on the correspondences of John Wallis (1616-1703). Wallis was Savilian Professor of Geometry at Oxford from 1649 until his death, and was a founding member of the Royal Society and a central figure in the scientific and intellectual history of England. Along with his role as decipherer on the Parlimentary side during the Civil War, he prepared the ground for the discovery of infinitesimal calculus by Newton and Leibniz and played a decisive role in modernization of English mathematics. This volume provides fascinating insight into the life of Wallis through his correspondences with intellectual and political figures of the latter part of the 17th century.

Containing many previously unpublished letters, this third volume of a six volume collection of the complete correspondence of John Wallis (1616-1703), documents an important period in the history of the Royal Society and the University of Oxford. By providing access to these letters, this painstakingly crafted edition will enable readers to gain a deeper and richer awareness of the intellectual culture on which the growth of scientific knowledge in early modern Europe was based. Wallis was Savilian Professor of Geometry of Oxford from 1649 until his death, and was a founding member of the Royal Society and a central figure in the scientific and intellectual history of England. In the period covered Wallis is engaged in scientific debates on techniques for determining areas contained by curves (quadratures) and figures (cubatures), as well as on the theory of motion and the nature of the tides. He also continues to attack the mathematical undertakings of Thomas Hobbes and to respond to attacks which the philosopher in turn levels against him. We also find evidence for the consolidation of mathematics as an academic discipline in the University of Oxford just fifty years after the establishment of the first mathematical lecturerships. Wallis is called upon more than once to deliver ceremonial lectures on mathematical topics to foreign dignitaries visiting the University. At the same time the volume allows us to witness the beginnings of a remarkable development in mathematical publishing. Many of Wallis's letters to Henry Oldenburg, secretary of the Royal Society, on a variety of topics in the mathematical and physical sciences, are transformed into articles and published in Oldenburg's journal, the Philosophical Transactions. Part of the reason for this development also becomes clear in the letters: the long and costly process of publishing mathematical books such as Wallis's three part Mechanica: sive de motu. This volume not only signals the modernization of mathematics in the second half of the seventeenth century but we also see two new figures emerge for the first time, whose careers are in different ways closely associated with Wallis: Isaac Newton and Gottfried Wilhelm Leibniz.

The Correspondence of John Wallis (1616 -1703) is a critically acclaimed resource in the history of early modern science. Volume IV covers the period from 1672 to April 1675 and contains over eighty previously unpublished letters. It documents Wallis's role in the crucial debate over the method of tangents involving figures such as Sluse, James Gregory, Hudde, Barrow, Newton, and Christiaan Huygens. In this way it illuminates further an important part of the history of the calculus. Wallis's letters also provide valuable new insights into mathematical book production and the importance of the international exchange of books in the growth and dissemination of mathematical knowledge. We learn more about the part played by the intelligencer John Collins and the astronomer royal John Flamsteed in the edition of Jeremiah Horrox's Opera posthuma, published by Wallis in 1673. There are also new insights on the background to Wallis's early work on equations, and the reasons why he criticized Gaston Pardies's proposed tract on motion. The causes of the breakdown in Wallis's epistolary relation to Christiaan Huygens following the publication of the Horologium oscillatorium in 1673 are also revealed. Many letters reflect Wallis's active involvement in the Royal Society. Through the medium of correspondence the Savilian professor participated in numerous debates such as those over the anomalous suspension of mercury in the Torricellian tube or Hevelius's use of plain sights in positional astronomy. The volume allows us to gain a deeper understanding of the background to these debates. Furthermore, the volume throws important new light on the history of the University of Oxford and of the University Press in the early modern period. As keeper of the University Archives, Wallis was one of the institution's highest officers. Scarcely any event of note concerning the University did not require his involvement in some way, and this is reflected in numerous letters and documents which the volume publishes for the first time.

5000 Years of Geometry

Zahlreiche Abbildungen, viele davon jetzt in Farbe, erhöhen den Lesegenuss des Buches. "Ein spannender Überblick über die Entwicklung von Konzepten und Erkenntnissen der Geometrie von der Frühgeschichte über die Antike, die Bauhüttenbücher des Mittelalters und die Renaissancezeit bis zur Gegenwart."