Around Caspar Wessel and the Geometric Representation of Complex Numbers PDF Download

Author: Jesper Lützen
Publisher: Kgl. Danske Videnskabernes Selskab
ISBN: 9788778762368
Category : Cartography
Languages : en
Pages : 306

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Author: Caspar Wessel
Publisher: Kgl. Danske Videnskabernes Selskab
ISBN: 9788778761583
Category : Geometry
Languages : en
Pages : 164

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Author: Leo Corry
Publisher: Oxford University Press, USA
ISBN: 0198702590
Category : Mathematics
Languages : en
Pages : 324

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Book Description
This is the story behind the idea of number, from the Pythagoreans, up until the turn of the 20th century, through Greek, Islamic & European mathematics.

Author: Maria Teresa Borgato
Publisher: Birkhäuser
ISBN: 3319735772
Category : Mathematics
Languages : en
Pages : 361

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Book Description
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.

Author: Jacqueline A. Stedall
Publisher: OUP Oxford
ISBN: 0191545759
Category : Mathematics
Languages : en
Pages : 306

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Book Description
For historians of mathematics and those interested in the history of science, 'A Discourse Concerning Algebra' provides an new and readable account of the rise of algebra in England from the Medieval period to the later years of the 17th century. Including new research, this is the most detailed study to date of early modern English algebra, which builds on work published in 1685 by John Wallis (Savilian Professor of Geometry at Oxford) on the history of algebra. Stedall's book follows the reception and dissemination of important algebraic ideas and methods from continental Europe (especially those of Viéte) and the consequent revolution in the state of English mathematics in the 17th century. The text emphasises the contribution of Wallis, but substantial reference is also provided to other important mathematicans such as Harriot, Oughtred, Pell and Brouncker.

Author: Peter De Clercq
Publisher: Aarhus Universitetsforlag
ISBN: 8779343465
Category : Science
Languages : en
Pages : 243

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Thomas Bugge, director of the observatory in Copenhagen, kept a diary during his travels in Germany, Holland and England in 1777. He described his meetings with leading scientists, artists and instrument makers, and the many scientific institutions he visited. The diary is also full of drawings of the buildings, technical devices and instruments he saw. Bugge's diary is now available in an English translation with an introduction and notes by historians of science Kurt Moller Pedersen and Peter de Clercq.

Author: Kevin Lambert
Publisher: University of Pittsburgh Press
ISBN: 0822988410
Category : Mathematics
Languages : en
Pages : 301

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Book Description
In the steam-powered mechanical age of the eighteenth and nineteenth centuries, the work of late Georgian and early Victorian mathematicians depended on far more than the properties of number. British mathematicians came to rely on industrialized paper and pen manufacture, railways and mail, and the print industries of the book, disciplinary journal, magazine, and newspaper. Though not always physically present with one another, the characters central to this book—from George Green to William Rowan Hamilton—relied heavily on communication technologies as they developed their theories in consort with colleagues. The letters they exchanged, together with the equations, diagrams, tables, or pictures that filled their manuscripts and publications, were all tangible traces of abstract ideas that extended mathematicians into their social and material environment. Each chapter of this book explores a thing, or assembling of things, mathematicians needed to do their work—whether a textbook, museum, journal, library, diagram, notebook, or letter—all characteristic of the mid-nineteenth-century British taskscape, but also representative of great change to a discipline brought about by an industrialized world in motion.

Author: Clifford J. Cunningham
Publisher: Springer
ISBN: 3319328751
Category : Science
Languages : en
Pages : 309

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Johann Bode developed a so-called law of planetary distances best known as Bode’s Law. The story of the discovery of Juno in 1804 by Karl Harding tells how Juno fit into that scheme and is examined as it relates to the philosopher Georg Hegel’s 1801 thesis that there could be no planets between Mars and Jupiter. By 1804 that gap was not only filled but had three residents: Ceres, Pallas and Juno! When Juno was discovered no one could have imagined its study would call into question Newton’s law of gravity, or be the impetus for developing the mathematics of the fast Fourier transform by Carl Gauss. Clifford Cunningham, a dedicated scholar, opens to scrutiny this critical moment of astronomical discovery, continuing the story of asteroid begun in earlier volumes of this series. The fascinating issues raised by the discovery of Juno take us on an extraordinary journey. The revelation of the existence of this new class of celestial bodies transformed our understanding of the Solar System, the implications of which are thoroughly discussed in terms of Romantic Era science, philosophy, poetry, mathematics and astronomy. The account given here is based on both English and foreign correspondence and scientific papers, most of which are translated for the first time.

Author: Raymond O. Wells, Jr.
Publisher: Springer
ISBN: 3319581848
Category : Mathematics
Languages : en
Pages : 320

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Book Description
Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century. Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth-century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash. Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.

Author: A.D. Morrison-Low
Publisher: Routledge
ISBN: 135192074X
Category : History
Languages : en
Pages : 378

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Book Description
At the start of the Industrial Revolution, it appeared that most scientific instruments were made and sold in London, but by the time of the Great Exhibition in 1851, a number of provincial firms had the self-confidence to exhibit their products in London to an international audience. How had this change come about, and why? This book looks at the four main, and two lesser, English centres known for instrument production outside the capital: Birmingham, Liverpool, Manchester and Sheffield, along with the older population centres in Bristol and York. Making wide use of new sources, Dr Morrison-Low, curator of history of science at the National Museums of Scotland, charts the growth of these centres and provides a characterisation of their products. New information is provided on aspects of the trade, especially marketing techniques, sources of materials, tools and customer relationships. From contemporary evidence, she argues that the principal output of the provincial trade (with some notable exceptions) must have been into the London marketplace, anonymously, and at the cheaper end of the market. She also discusses the structure and organization of the provincial trade, and looks at the impact of new technology imported from other closely-allied trades. By virtue of its approach and subject matter the book considers aspects of economic and business history, gender and the family, the history of science and technology, material culture, and patterns of migration. It contains a myriad of stories of families and firms, of entrepreneurs and customers, and of organizations and arms of government. In bringing together this wide range of interests, Dr Morrison-Low enables us to appreciate how central the making, selling and distribution of scientific instruments was for the Industrial Revolution.