Mathematical Correspondences and Critical Editions
Mathematical Correspondences and Critical Editions

Author: Maria Teresa Borgato

Publisher: Birkhäuser

Published: 2019-03-22

Total Pages: 361

ISBN-13: 3319735772

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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.

The Secret Formula
The Secret Formula

Author: Fabio Toscano

Publisher: Princeton University Press

Published: 2024-12-03

Total Pages: 176

ISBN-13: 0691264880

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The legendary Renaissance math duel that ushered in the modern age of algebra The Secret Formula tells the story of two Renaissance mathematicians whose jealousies, intrigues, and contentious debates led to the discovery of a formula for the solution of the cubic equation. Niccolò Tartaglia was a talented and ambitious teacher who possessed a secret formula—the key to unlocking a seemingly unsolvable, two-thousand-year-old mathematical problem. He wrote it down in the form of a poem to prevent other mathematicians from stealing it. Gerolamo Cardano was a physician, gifted scholar, and notorious gambler who would not hesitate to use flattery and even trickery to learn Tartaglia's secret. Set against the backdrop of sixteenth-century Italy, The Secret Formula provides new and compelling insights into the peculiarities of Renaissance mathematics while bringing a turbulent and culturally vibrant age to life. It was an era when mathematicians challenged each other in intellectual duels held outdoors before enthusiastic crowds. Success not only enhanced the winner's reputation, but could result in prize money and professional acclaim. After hearing of Tartaglia's spectacular victory in one such contest in Venice, Cardano invited him to Milan, determined to obtain his secret by whatever means necessary. Cardano's intrigues paid off. In 1545, he was the first to publish a general solution of the cubic equation. Tartaglia, eager to take his revenge by establishing his superiority as the most brilliant mathematician of the age, challenged Cardano to the ultimate mathematical duel. A lively account of genius, betrayal, and all-too-human failings, The Secret Formula reveals the epic rivalry behind one of the fundamental ideas of modern algebra.

Architecture and Mathematics from Antiquity to the Future
Architecture and Mathematics from Antiquity to the Future

Author: Kim Williams

Publisher: Birkhäuser

Published: 2015-02-09

Total Pages: 723

ISBN-13: 331900137X

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Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals. Volume I covers architecture from antiquity through Egyptian, Mayan, Greek, Roman, Medieval, Inkan, Gothic and early Renaissance eras and styles. The themes that are covered range from symbolism and proportion to measurement and structural stability. From Europe to Africa, Asia and South America, the chapters span different countries, cultures and practices.

The Art of Science
The Art of Science

Author: Rossella Lupacchini

Publisher: Springer

Published: 2014-07-22

Total Pages: 220

ISBN-13: 3319021117

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In addition to linear perspective, complex numbers and probability were notable discoveries of the Renaissance. While the power of perspective, which transformed Renaissance art, was quickly recognized, the scientific establishment treated both complex numbers and probability with much suspicion. It was only in the twentieth century that quantum theory showed how probability might be molded from complex numbers and defined the notion of “complex probability amplitude”. From a theoretical point of view, however, the space opened to painting by linear perspective and that opened to science by complex numbers share significant characteristics. The Art of Science explores this shared field with the purpose of extending Leonardo’s vision of painting to issues of mathematics and encouraging the reader to see science as an art. The intention is to restore a visual dimension to mathematical sciences – an element dulled, if not obscured, by historians, philosophers, and scientists themselves.

Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture
Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture

Author: Jens Høyrup

Publisher: Springer Science & Business Media

Published: 2007-12-24

Total Pages: 482

ISBN-13: 3764383917

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This book deals with one of the earliest surviving "abbacus" treatises, one that is by far more orderly than any of the extant predecessors and is also the first to contain a presentation of algebra. The book contains an edition and an English translation of a manuscript from c. 1450. In addition, it features an extensive discussion of the contents of the treatise and its location within early abbacus culture.

History of Virtual Work Laws
History of Virtual Work Laws

Author: Danilo Capecchi

Publisher: Springer Science & Business Media

Published: 2012-05-11

Total Pages: 491

ISBN-13: 8847020565

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The book presents a history of classical mechanics by focusing on issues of equilibrium. The historical point of view adopted here restricts attention to cases where the effectiveness of forces is assessed on the basis of the virtual motion of their points of application. For completeness, hints of the alternative approach are also referred, the Archimedean for ancient mechanics and the Newtonian for modern mechanics. The laws resulting from consideration of virtual motions are named laws of virtual work. The modern formulations of the principle of virtual work are only a particular form of them. The book begins with the first documented formulations of laws of virtual work in the IV century BC in Greece and proceeds to the end of the XIX century AD in Europe. A significant space is devoted to Arabic and Latin mechanics of Middle Ages. With the Renaissance it began to appear slightly different wordings of the laws, which were often proposed as unique principles of statics. The process reached its apex with Bernoulli and Lagrange in the XVIII century. The book ends with some chapters dealing with the discussions that took place in the French school on the role of the Lagrangian version of the law of virtual work and its applications to continuum mechanics.

Universities and Science in the Early Modern Period
Universities and Science in the Early Modern Period

Author: Mordechai Feingold

Publisher: Springer Science & Business Media

Published: 2006-10-03

Total Pages: 309

ISBN-13: 1402039751

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This book includes most of the contributions presented at a conference on “Univ- sities and Science in the Early Modern Period” held in 1999 in Valencia, Spain. The conference was part of the “Five Centuries of the Life of the University of Valencia” (Cinc Segles) celebrations, and from the outset we had the generous support of the “Patronato” (Foundation) overseeing the events. In recent decades, as a result of a renewed attention to the institutional, political, social, and cultural context of scienti?c activity, we have witnessed a reappraisal of the role of the universities in the construction and development of early modern science. In essence, the following conclusions have been reached: (1) the attitudes regarding scienti?c progress or novelty differed from country to country and follow differenttrajectoriesinthecourseoftheearlymodernperiod;(2)institutionsofhigher learning were the main centers of education for most scientists; (3) although the universities were sometimes slow to assimilate new scienti?c knowledge, when they didsoithelpednotonlytoremovethesuspicionthatthenewsciencewasintellectually subversivebutalsotomakesciencearespectableandevenprestigiousactivity;(4)the universities gave the scienti?c movement considerable material support in the form of research facilities such as anatomical theaters, botanical gardens, and expensive instruments; (5) the universities provided professional employment and a means of support to many scientists; and (6) although the relations among the universities and the academies or scienti?c societies were sometimes antagonistic, the two types of institutionsoftenworkedtogetherinharmony,performingcomplementaryratherthan competing functions; moreover, individuals moved from one institution to another, as did knowledge, methods, and scienti?c practices.