Download or read book Around Caspar Wessel and the Geometric Representation of Complex Numbers written by Jesper Lützen and published by Kgl. Danske Videnskabernes Selskab. This book was released on 2001 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Around Caspar Wessel and the Geometric Representation of Complex Numbers written by Jesper Lützen and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Analytical Representation of Direction written by Caspar Wessel and published by Kgl. Danske Videnskabernes Selskab. This book was released on 1999 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Brief History of Numbers written by Leo Corry and published by Oxford University Press, USA. This book was released on 2015 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Correspondences and Critical Editions written by Maria Teresa Borgato and published by Birkhäuser. This book was released on 2019-03-22 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Discourse Concerning Algebra written by Jacqueline A. Stedall and published by OUP Oxford. This book was released on 2003-01-16 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Observer of Observatories written by Peter De Clercq and published by Aarhus Universitetsforlag. This book was released on 2010-12-30 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Symbols and Things written by Kevin Lambert and published by University of Pittsburgh Press. This book was released on 2021-10-12 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Bode s Law and the Discovery of Juno written by Clifford J. Cunningham and published by Springer. This book was released on 2017-06-02 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Differential and Complex Geometry Origins Abstractions and Embeddings written by Raymond O. Wells, Jr. and published by Springer. This book was released on 2017-08-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Philosophers and Mathematics written by Hassan Tahiri and published by Springer. This book was released on 2018-08-14 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements. The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.
Download or read book Making Scientific Instruments in the Industrial Revolution written by A.D. Morrison-Low and published by Routledge. This book was released on 2017-03-02 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numbers and Proofs written by Reg Allenby and published by Elsevier. This book was released on 1997-09-26 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any attempt proof is made. Established proofs which the student is in a better position to follow then follow.Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well as giving a definitive guide to the more common forms. Stressing the importance of backing up "truths" found through experimentation, with logically sound and watertight arguments, it provides an ideal bridge to more complex undergraduate maths.
Download or read book Mastering the History of Pure and Applied Mathematics written by Toke Knudsen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-06-04 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present collection of essays are published in honor of the distinguished historian of mathematics Professor Emeritus Jesper Lützen. In a career that spans more than four decades, Professor Lützen's scholarly contributions have enhanced our understanding of the history, development, and organization of mathematics. The essays cover a broad range of areas connected to Professor Lützen's work. In addition to this noteworthy scholarship, Professor Lützen has always been an exemplary colleague, providing support to peers as well as new faculty and graduate students. We dedicate this Festschrift to Professor Lützen—as a scholarly role model, mentor, colleague, and friend.
Download or read book A Friendly Approach To Complex Analysis written by Amol Sasane and published by World Scientific Publishing Company. This book was released on 2013-12-24 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy-Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series expansions.Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text.
Download or read book Explaining Beauty in Mathematics An Aesthetic Theory of Mathematics written by Ulianov Montano and published by Springer Science & Business Media. This book was released on 2013-12-20 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics. The volume begins with a discussion of the reasons to interpret mathematical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted to the revision and improvement of McAllister’s theory of the role of beauty in science. These antecedents are used as a foundation to formulate a naturalistic aesthetic theory. The central idea of the theory is that aesthetic phenomena should be seen as constituting a complex dynamical system which the author calls the aesthetic as process theory. The theory comprises explications of three central topics: aesthetic experience (in mathematics), aesthetic value and aesthetic judgment. The theory is applied in the final part of the volume and is used to account for the three most salient and often used aesthetic terms often used in mathematics: beautiful, elegant and ugly. This application of the theory serves to illustrate the theory in action, but also to further discuss and develop some details and to showcase the theory’s explanatory capabilities.
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:
