Anachronisms in the History of Mathematics

Anachronisms in the History of Mathematics PDF Author: Niccolò Guicciardini
Publisher: Cambridge University Press
ISBN: 1108883281
Category : Mathematics
Languages : en
Pages : 394

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Book Description
The controversial matters surrounding the notion of anachronism are difficult ones: they have been broached by literary and art critics, by philosophers, as well as by historians of science. This book adopts a bottom-up approach to the many problems concerning anachronism in the history of mathematics. Some of the leading scholars in the field of history of mathematics reflect on the applicability of present-day mathematical language, concepts, standards, disciplinary boundaries, indeed notions of mathematics itself, to well-chosen historical case studies belonging to the mathematics of the past, in European and non-European cultures. A detailed introduction describes the key themes and binds the various chapters together. The interdisciplinary and transcultural approach adopted allows this volume to cover topics important for history of mathematics, history of the physical sciences, history of science, philosophy of mathematics, history of philosophy, methodology of history, non-European science, and the transmission of mathematical knowledge across cultures.

Anachronisms in the History of Mathematics

Anachronisms in the History of Mathematics PDF Author: Niccolò Guicciardini
Publisher: Cambridge University Press
ISBN: 1108883281
Category : Mathematics
Languages : en
Pages : 394

Get Book Here

Book Description
The controversial matters surrounding the notion of anachronism are difficult ones: they have been broached by literary and art critics, by philosophers, as well as by historians of science. This book adopts a bottom-up approach to the many problems concerning anachronism in the history of mathematics. Some of the leading scholars in the field of history of mathematics reflect on the applicability of present-day mathematical language, concepts, standards, disciplinary boundaries, indeed notions of mathematics itself, to well-chosen historical case studies belonging to the mathematics of the past, in European and non-European cultures. A detailed introduction describes the key themes and binds the various chapters together. The interdisciplinary and transcultural approach adopted allows this volume to cover topics important for history of mathematics, history of the physical sciences, history of science, philosophy of mathematics, history of philosophy, methodology of history, non-European science, and the transmission of mathematical knowledge across cultures.

A Remarkable Collection of Babylonian Mathematical Texts

A Remarkable Collection of Babylonian Mathematical Texts PDF Author: Jöran Friberg
Publisher: Springer Science & Business Media
ISBN: 0387345434
Category : Mathematics
Languages : en
Pages : 544

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Book Description
The book analyzes the mathematical tablets from the private collection of Martin Schoyen. It includes analyses of tablets which have never been studied before. This provides new insight into Babylonian understanding of sophisticated mathematical objects. The book is carefully written and organized. The tablets are classified according to mathematical content and purpose, while drawings and pictures are provided for the most interesting tablets.

The Ghosts Of Evolution

The Ghosts Of Evolution PDF Author: Connie Barlow
Publisher: Basic Books
ISBN: 0786724897
Category : Science
Languages : en
Pages : 306

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Book Description
A new vision is sweeping through ecological science: The dense web of dependencies that makes up an ecosystem has gained an added dimension-the dimension of time. Every field, forest, and park is full of living organisms adapted for relationships with creatures that are now extinct. In a vivid narrative, Connie Barlow shows how the idea of "missing partners" in nature evolved from isolated, curious examples into an idea that is transforming how ecologists understand the entire flora and fauna of the Americas. This fascinating book will enrich and deepen the experience of anyone who enjoys a stroll through the woods or even down an urban sidewalk. But this knowledge has a dark side too: Barlow's "ghost stories" teach us that the ripples of biodiversity loss around us now are just the leading edge of what may well become perilous cascades of extinction.

Novel Institutions

Novel Institutions PDF Author: Mary L. Mullen
Publisher: Edinburgh University Press
ISBN: 1474453260
Category : Literary Criticism
Languages : en
Pages : 265

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Book Description
Intro -- Series Editor's Preface -- Acknowledgements -- Introduction -- Part I Necessary and Unnecessary Anachronisms -- Chapter 1 Realism and the Institution of the Nineteenth-Century Novel -- Part II Forgetting and Remembrance -- Chapter 2 William Carleton's and Charles Kickham's Ethnographic Realism -- Chapter 3 George Eliot's Anachronistic Literacies -- Part III Untimely Improvement -- Chapter 4 Charles Dickens's Reactionary Reform -- Chapter 5 George Moore's Untimely Bildung -- Coda: Inhabiting Institutions -- Bibliography -- Index.

Geometry

Geometry PDF Author: Michel Serres
Publisher: Bloomsbury Publishing
ISBN: 1474281419
Category : Philosophy
Languages : en
Pages : 224

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Book Description
In this third installment of his classic 'Foundations' trilogy, Michel Serres takes on the history of geometry and mathematics. Even more broadly, Geometry is the beginnings of things and also how these beginnings have shaped how we continue to think philosophically and critically. Serres rejects a traditional history of mathematics which unfolds in a linear manner, and argues for the need to delve into the past of maths and identify a series of ruptures which can help shed light on how this discipline has developed and how, in turn, the way we think has been shaped and formed. This meticulous and lyrical translation marks the first ever English translation of this key text in the history of ideas.

The Shaping of Deduction in Greek Mathematics

The Shaping of Deduction in Greek Mathematics PDF Author: Reviel Netz
Publisher: Cambridge University Press
ISBN: 9780521541206
Category : History
Languages : en
Pages : 356

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Book Description
The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.

Shaping the Sciences of the Ancient and Medieval World

Shaping the Sciences of the Ancient and Medieval World PDF Author: Agathe Keller
Publisher: Springer Nature
ISBN: 3031496175
Category :
Languages : en
Pages : 582

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Book Description


Osiris, Volume 38

Osiris, Volume 38 PDF Author: James Evans
Publisher: University of Chicago Press
ISBN: 0226827887
Category : History
Languages : en
Pages : 419

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Book Description
Perceptively explores the shifting intersections between algorithmic systems and human practices in the modern era. How have algorithmic systems and human practices developed in tandem since 1800? This volume of Osiris deftly addresses the question, dispelling along the way the traditional notion of algorithmic “code” and human “craft” as natural opposites. Instead, algorithms and humans have always acted in concert, depending on each other to advance new knowledge and produce social consequences. By shining light on alternative computational imaginaries, Beyond Craft and Code opens fresh space in which to understand algorithmic diversity, its governance, and even its conservation. The volume contains essays by experts in fields extending from early modern arithmetic to contemporary robotics. Traversing a range of cases and arguments that connect politics, historical epistemology, aesthetics, and artificial intelligence, the contributors collectively propose a novel vocabulary of concepts with which to think about how the history of science can contribute to understanding today’s world. Ultimately, Beyond Craft and Code reconfigures the historiography of science and technology to suggest a new way to approach the questions posed by an algorithmic culture—not only improving our understanding of algorithmic pasts and futures but also unlocking our ability to better govern our present.

From Eudoxus to Einstein

From Eudoxus to Einstein PDF Author: C. M. Linton
Publisher: Cambridge University Press
ISBN: 1139453793
Category : Science
Languages : en
Pages : 530

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Book Description
Since man first looked towards the heavens, a great deal of effort has been put into trying to predict and explain the motions of the sun, moon and planets. Developments in man's understanding have been closely linked to progress in the mathematical sciences. Whole new areas of mathematics, such as trigonometry, were developed to aid astronomical calculations, and on numerous occasions throughout history, breakthroughs in astronomy have only been possible because of progress in mathematics. This book describes the theories of planetary motion that have been developed through the ages, beginning with the homocentric spheres of Eudoxus and ending with Einstein's general theory of relativity. It emphasizes the interaction between progress in astronomy and in mathematics, showing how the two have been inextricably linked since Babylonian times. This valuable text is accessible to a wide audience, from amateur astronomers to professional historians of astronomy.

Worlds Out of Nothing

Worlds Out of Nothing PDF Author: Jeremy Gray
Publisher: Springer Science & Business Media
ISBN: 0857290606
Category : Mathematics
Languages : en
Pages : 390

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Book Description
Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.