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This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).

This book, edited by Kim Williams and Cosimo Monteleone, follows the publication of two other books dedicated to Daniele Barbaro and published by Springer: Daniele Barbaro's Vitruvius of 1567 (Kim Williams, 2019) and Daniele Barbaro's Perspective of 1568 (Kim Williams and Cosimo Monteleone, 2021). Therefore, it can be considered another installment in a series that has deepened the scientific treatises published by Daniele Barbaro. Due to the numerous scientific interests that Barbaro matured in the years he spent at the University of Padua, we have invited experts in these topics to discuss Barbaro in relation to his training. In particular, the book opens with the essays of the two editors to frame its general theme in relation to mathematics. Cosimo Monteleone addressed the relationship between Barbaro's perspective theory with Euclid's optics, the Aristotelian process of knowledge and the ophthalmological discoveries of the University of Padova in the Renaissance. Kim Williams underlines how Barbaro's arithmetic and geometry established `the most certain sciences' and set the base of the `primary sciences'. A series of essays concerning Barbaro's training at the University of Padua complete the theoretical framework analyzed by the two editors. These studies embrace the following subjects: mathematical instruments (Filippo Camerota), astronomy and sundials (Cristiano Guarneri), mathematics, geometry and polyhedral (Vera Viana), perspective and anamorphosis (Agostino De Rosa), botany and the foundation of the botanical garden (Stefano Zaggia), Vitruvius' architecture (Ekaterina Igoshina, Ilya Anikyev, Anna Markova) and Aristotelianism (Branko Mitrovi¿). A foreword by Xavier Salomon sets the stage for this book, outlining the innovations that Barbaro brought to scientific knowledge.Barbaro's scientific efforts are sometimes dismissed in recent studies as a compilation of known principles. The aim of this present book is to reveal the truly innovative nature of Barbaro's experiments and results and restore him to his rightful place as an original scholar of Renaissance.

This was accompanied by an explosion of new international or national associations of mathematicians with for instance the founding, in 1918, of the International Mathematical Union and the controversial creation of the International Research Council.

This volume approaches the history of water in the Iberian Peninsula in a novel way, by linking it to the ongoing international debate on water crisis and solutions to overcome the lack of water in the Mediterranean. What water devices were found?

The contributions in this proceedings volume offer a new perspective on the mathematical ties between France and Italy, and reveal how mathematical developments in these two countries affected one another.

Thiscollection presents significant contributions from an international network project on mathematicalcultures, including essays from leading scholars in the history and philosophyof mathematics and mathematics education. Mathematicshas universal standards of validity.

This book is a collection of papers presented at the "Archimedes in the 21st Century" world conference, held at the Courant Institute of Mathematical Sciences in 2013.

This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds often shaped not only their writing on the history of mathematics, but, in some instances, were also influential in their subsequent reception. During the period from roughly 1880-1940, mathematics modernized in important ways, with regard to its content, its conditions for cultivation, and its identity; and the writing of the history of mathematics played into the last part in particular. Parallel to the modernization of mathematics, the history of mathematics gradually evolved into a field of research with its own journals, societies and academic positions. Reflecting botha new professional identity and changes in its primary audience, various shifts of perspective in the way the history of mathematics was and is written can still be observed to this day. Initially concentrating on major internal, universal developments in certain sub-disciplines of mathematics, the field gradually gravitated towards a focus on contexts of knowledge production involving individuals, local practices, problems, communities, and networks. The goal of this book is to link these disciplinary and methodological changes in the history of mathematics to the broader cultural contexts of its practitioners, namely the historians of mathematics during the period in question.

This volume focuses on the outstanding contributions made by botany and the mathematical sciences to the genesis and development of early modern garden art and garden culture.

This Festschrift volume, showcasing recent historical research by leading experts on three continents, offers a global perspective on important themes in this field.

This book commemorates the 150th birthday of Corrado Segre, one of the founders of the Italian School of Algebraic Geometry and a crucial figure in the history of Algebraic Geometry.

This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds often shaped not only their writing on the history of mathematics, but, in some instances, were also influential in their subsequent reception. During the period from roughly 1880-1940, mathematics modernized in important ways, with regard to its content, its conditions for cultivation, and its identity; and the writing of the history of mathematics played into the last part in particular. Parallel to the modernization of mathematics, the history of mathematics gradually evolved into a field of research with its own journals, societies and academic positions. Reflecting both a new professional identity and changes in its primary audience, various shifts of perspective in the way the history of mathematics was and is written can still be observed to this day. Initially concentrating on major internal, universal developments in certain sub-disciplines of mathematics, the field gradually gravitated towards a focus on contexts of knowledge production involving individuals, local practices, problems, communities, and networks. The goal of this book is to link these disciplinary and methodological changes in the history of mathematics to the broader cultural contexts of its practitioners, namely the historians of mathematics during the period in question.

This volume focuses on the outstanding contributions made by botany and the mathematical sciences to the genesis and development of early modern garden art and garden culture.

This Festschrift volume, showcasing recent historical research by leading experts on three continents, offers a global perspective on important themes in this field.

This book commemorates the 150th birthday of Corrado Segre, one of the founders of the Italian School of Algebraic Geometry and a crucial figure in the history of Algebraic Geometry.

The contributions in this proceedings volume offer a new perspective on the mathematical ties between France and Italy, and reveal how mathematical developments in these two countries affected one another.

This bookgathers the proceedings of the conference "Cultures of Mathematics andLogic," held in Guangzhou, China. In this context, thecultural diversity can be diachronical (different cultures in differenthistorical periods), geographical (different cultures in different regions), orsociological in nature.

Thiscollection presents significant contributions from an international network project on mathematicalcultures, including essays from leading scholars in the history and philosophyof mathematics and mathematics education. Mathematicshas universal standards of validity.

This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).

This volume approaches the history of water in the Iberian Peninsula in a novel way, by linking it to the ongoing international debate on water crisis and solutions to overcome the lack of water in the Mediterranean. What water devices were found?

This bookgathers the proceedings of the conference "Cultures of Mathematics andLogic," held in Guangzhou, China. In this context, thecultural diversity can be diachronical (different cultures in differenthistorical periods), geographical (different cultures in different regions), orsociological in nature.

Mathematical correspondence offers a rich heritage for the history of mathematics and science, as well as cultural history and other areas. It naturally covers a vast range of topics, and not only of a scientific nature; it includes letters between mathematicians, but also between mathematicians and politicians, publishers, and men or women of culture.Wallis, Leibniz, the Bernoullis, D'Alembert, Condorcet, Lagrange, Gauss, Hermite, Betti, Cremona, Poincaré and van der Waerden are undoubtedly authors of great interest and their letters are valuable documents, but the correspondence of less well-known authors, too, can often make an equally important contribution to our understanding of developments in the history of science.Mathematical correspondences also play an important role in the editions of collected works, contributing to the reconstruction of scientific biographies, as well as the genesis of scientific ideas, and in the correct dating and interpretation of scientific writings.This volume is based on the symposium "Mathematical Correspondences and Critical Editions," held at the 6th International Conference of the ESHS in Lisbon, Portugal in 2014. In the context of the more than fifteen major and minor editions of mathematical correspondences and collected works presented in detail, the volume discusses issues such as . History and prospects of past and ongoing edition projects,. Critical aspects of past editions,. The complementary role of printed and digital editions, . Integral and partial editions of correspondence,. Reproduction techniques for manuscripts, images and formulae, and the editorial challenges and opportunities presented by digital technology.

This book is a collection of papers presented at the "Archimedes in the 21st Century" world conference, held at the Courant Institute of Mathematical Sciences in 2013.