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The Impossibility of Squaring the Circle in the 17th Century, Davide Crippa


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Автор: Davide Crippa
Название:  The Impossibility of Squaring the Circle in the 17th Century
ISBN: 9783030016371
Издательство: Springer
Классификация:

ISBN-10: 3030016374
Обложка/Формат: Soft cover
Страницы: 184
Вес: 0.33 кг.
Дата издания: 2019
Серия: Frontiers in the History of Science
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 29 illustrations, color; 3 illustrations, black and white; viii, 184 p. 32 illus., 29 illus. in color.
Размер: 244 x 170 x 10
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: A Debate Among Gregory, Huygens and Leibniz
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle.The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage.Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
Дополнительное описание: FM.-Introduction.- James Gregory and the Impossibility of Squaring the Central Conic Sections.- Leibniz's Arithmetical Quadrature of the Circle.- Conclusion.-BM.


Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity

Автор: Richeson David S.
Название: Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity
ISBN: 0691218722 ISBN-13(EAN): 9780691218724
Издательство: Wiley
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Цена: 21110.00 T
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Описание: Chinese architecture is astonishingly uniform. Buddhists, Daoists, and Muslims, inside China and beyond, built Chinese-style structures the same way for two thousand years, despite mastering new technologies along the way. Nancy Shatzman Steinhardt offers an authoritative overview of design principles that have stood the test of time-and geography.

Tales of Impossibility: The 2,000-Year Quest to Solve the Mathematical Problems of Antiquity

Автор: Richeson David S.
Название: Tales of Impossibility: The 2,000-Year Quest to Solve the Mathematical Problems of Antiquity
ISBN: 0691192960 ISBN-13(EAN): 9780691192963
Издательство: Wiley
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Цена: 26400.00 T
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Описание:

A comprehensive look at four of the most famous problems in mathematics

Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems--squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle--have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs--demonstrating the impossibility of solving them using only a compass and straightedge--depended on and resulted in the growth of mathematics.

Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Vi te, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems.

Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.

-- "Mathematics Magazine"
Magic Squares in the Tenth Century

Автор: Jacques Sesiano
Название: Magic Squares in the Tenth Century
ISBN: 3319521136 ISBN-13(EAN): 9783319521138
Издательство: Springer
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Цена: 111790.00 T
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Описание: This volume contains the texts and translations of two Arabic treatises on magic squares, which are undoubtedly the most important testimonies on the early history of that science.

Magic Squares in the Tenth Century

Автор: Jacques Sesiano
Название: Magic Squares in the Tenth Century
ISBN: 3319848240 ISBN-13(EAN): 9783319848242
Издательство: Springer
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Цена: 121110.00 T
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Описание: This volume contains the texts and translations of two Arabic treatises on magic squares, which are undoubtedly the most important testimonies on the early history of that science.

The Stars in Our eyes: Representations of the Square Kilometre Array Telescope in the South African Media

Автор: Michael Gastrow
Название: The Stars in Our eyes: Representations of the Square Kilometre Array Telescope in the South African Media
ISBN: 079692547X ISBN-13(EAN): 9780796925473
Издательство: Mare Nostrum (Eurospan)
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Цена: 18480.00 T
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Описание: The Square Kilometre Array (SKA) radio telescope is set to become the largest telescope on Earth, and also the largest science project in Africa. From September 2011 to August 2012, the SKA featured regularly in the South African media.

Overcoming Polarization in the Public Square: Civic Dialogue

Автор: Barthold Lauren Swayne
Название: Overcoming Polarization in the Public Square: Civic Dialogue
ISBN: 3030455858 ISBN-13(EAN): 9783030455859
Издательство: Springer
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Цена: 69870.00 T
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Описание: Drawing on Plato, Buber, Gadamer, Dewey, cognitive bias research, as well as the work of dialogue practitioners, Lauren Swayne Barthold provides a sustained defense of civic dialogue as an effective strategy for avoiding futile political arguments and for creating pluralistic democratic communities.

Overcoming Polarization in the Public Square: Civic Dialogue

Автор: Barthold Lauren Swayne
Название: Overcoming Polarization in the Public Square: Civic Dialogue
ISBN: 3030455882 ISBN-13(EAN): 9783030455880
Издательство: Springer
Рейтинг:
Цена: 79190.00 T
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Описание: Drawing on Plato, Buber, Gadamer, Dewey, cognitive bias research, as well as the work of dialogue practitioners, Lauren Swayne Barthold provides a sustained defense of civic dialogue as an effective strategy for avoiding futile political arguments and for creating pluralistic democratic communities.

The Perilous Public Square: Structural Threats to Free Expression Today

Автор: Pozen David E.
Название: The Perilous Public Square: Structural Threats to Free Expression Today
ISBN: 0231197136 ISBN-13(EAN): 9780231197137
Издательство: Wiley
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Цена: 26400.00 T
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Описание: The Perilous Public Square brings together leading thinkers to identify and investigate today`s multifaceted threats to free expression. They go beyond the campus and the courthouse to pinpoint key structural changes in the means of mass communication and forms of global capitalism.

Taking the Square

Автор: Rovisco Maria
Название: Taking the Square
ISBN: 1783483962 ISBN-13(EAN): 9781783483969
Издательство: Bloomsbury
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Цена: 44550.00 T
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Описание: Explores a rich variety of occupations of public space in order to explore new forms of public expression and modes of citizen participation.

Magic Squares: Their History and Construction from Ancient Times to Ad 1600

Автор: Sesiano Jacques
Название: Magic Squares: Their History and Construction from Ancient Times to Ad 1600
ISBN: 3030179923 ISBN-13(EAN): 9783030179922
Издательство: Springer
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Цена: 79190.00 T
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Описание:

The science of magic squares witnessed an important development in the Islamic world during the Middle Ages, with a great variety of construction methods being created and ameliorated. The initial step was the translation, in the ninth century, of an anonymous Greek text containing the description of certain highly developed arrangements, no doubt the culmination of ancient research on magic squares.

Beyond the Protest Square: Digital Media and Augmented Dissent

Автор: Lokot Tetyana
Название: Beyond the Protest Square: Digital Media and Augmented Dissent
ISBN: 1786605961 ISBN-13(EAN): 9781786605962
Издательство: Rowman & Littlefield Publishers
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Цена: 132350.00 T
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Описание: The book provides an overview of existing theoretical discussions and field research on the role of digital technology, the internet, and social media in social transformations, civic culture, and protests.

The Square Root of 2

Автор: David Flannery
Название: The Square Root of 2
ISBN: 144191899X ISBN-13(EAN): 9781441918994
Издательство: Springer
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Цена: 27910.00 T
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Описание: An elegantly dramatized and illustrated dialog on the square root of two and the whole concept of irrational numbers.


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