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Revolutions and Continuity in Greek Mathematics, Sialaros Michalis


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Автор: Sialaros Michalis
Название:  Revolutions and Continuity in Greek Mathematics
ISBN: 9783110563658
Издательство: Walter de Gruyter
Издательство: de Gruyter
Классификация:


ISBN-10: 3110563657
Обложка/Формат: Hardcover
Страницы: 401
Вес: 0.75 кг.
Дата издания: 23.04.2018
Язык: English
Размер: 24.38 x 17.53 x 2.54 cm
Поставляется из: США
Описание:

This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical revolutions and continuity. Taken together, they provide a powerful lens for evaluating the applicability of Thomas Kuhns ideas on scientific revolutions to the discipline of ancient Greek mathematics. Besides the latest historiographical studies on geometrical algebra and premodern algebra, the reader will find here some papers which offer new insights into the controversial relationship between Greek and pre-Hellenic mathematical practices. Some other contributions place emphasis on the other edge of the historical spectrum, by exploring historical lines of continuity between ancient Greek, Byzantine and post-Hellenic mathematics. The terminology employed by Greek mathematicians, along with various non-textual and material elements, is another topic which some of the essays in the volume explore. Finally, the last three articles focus on a traditionally rich source on ancient Greek mathematics; namely the works of Plato and Aristotle.




New history of greek mathematics

Автор: Netz, Reviel (stanford University, California)
Название: New history of greek mathematics
ISBN: 1108833845 ISBN-13(EAN): 9781108833844
Издательство: Cambridge Academ
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Цена: 5542.00 р.
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Описание: A comprehensive history of Greek mathematics (pure and applied, including the history of astronomy) from its beginnings to its legacy in Byzantium, Islamic science and the scientific revolution. Explores comparative and sociological perspectives and engages the reader with joy of encountering some of the finest mathematics ever created.

The History of Mathematics: A Very Short Introduction

Автор: Stedall, Jacqueline
Название: The History of Mathematics: A Very Short Introduction
ISBN: 0199599688 ISBN-13(EAN): 9780199599684
Издательство: Oxford Academ
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Цена: 1582.00 р.
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Описание: In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day, using illustrative case studies drawn from a range of times and places; including early imperial China, the medieval Islamic world, and nineteenth-century Britain.

Mathematics in Victorian Britain

Автор: Flood, Raymond; Rice, Adrian; Wilson, Robin
Название: Mathematics in Victorian Britain
ISBN: 0199601399 ISBN-13(EAN): 9780199601394
Издательство: Oxford Academ
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Цена: 6875.00 р. 9821.00 -30%
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Описание: With a foreword by Adam Hart-Davis, this book constitutes perhaps the first general survey of the mathematics of the Victorian period. It charts the institutional development of mathematics as a profession, as well as exploring the numerous innovations made during this time, many of which are still familiar today.

Connections in discrete mathematics

Автор: Edited By Steve Butl
Название: Connections in discrete mathematics
ISBN: 1107153980 ISBN-13(EAN): 9781107153981
Издательство: Cambridge Academ
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Цена: 16632.00 р.
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Описание: For over fifty years, Ron Graham has been able to illuminate the common threads connecting different areas in discrete mathematics. Inspired by Graham, this collection of papers written by top researchers in discrete mathematics encompasses a broad range of topics from numbers and geometry to juggling and probability.

Music and Mathematics

Автор: Fauvel, John; Flood, Raymond; Wilson, Robin
Название: Music and Mathematics
ISBN: 0199298939 ISBN-13(EAN): 9780199298938
Издательство: Oxford Academ
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Цена: 6651.00 р.
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Описание: From Ancient Greek times, music has been seen as a mathematical art, and this relationship has fascinated generations. This new in paperback edition of diverse, comprehensive and fully-illustrated papers, authored by leading scholars, links the two fields in a lucid manner that is suitable for students of each subject as well as the general reader.

Symmetry and the Monster One of the greatest quests of mathematics

Автор: Ronan
Название: Symmetry and the Monster One of the greatest quests of mathematics
ISBN: 0192807234 ISBN-13(EAN): 9780192807236
Издательство: Oxford Academ
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Цена: 2216.00 р.
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Описание: The `Monster of Symmetry` is a giant snowflake in 196,884 dimensions - with a beautiful structure which may turn out to unlock the very fabric of our universe. The story of the hunt for the monster, and its eventual discovery, became the biggest joint mathematical project of all time - involving determination, luck, and some very extraordinary characters.

A History of Greek Mathematics

Автор: Heath
Название: A History of Greek Mathematics
ISBN: 1108063071 ISBN-13(EAN): 9781108063074
Издательство: Cambridge Academ
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Цена: 8078.00 р.
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Описание: Published in 1921 and aimed at mathematicians and classicists, this rigorous two-volume work traces ancient Greek mathematics from Thales of Miletus to the achievements of the Alexandrian algebraists. The coverage in Volume 2 begins with Aristarchus of Samos and Archimedes, extending to the algebra of Diophantus of Alexandria.

A History of Greek Mathematics

Автор: Heath
Название: A History of Greek Mathematics
ISBN: 1108063063 ISBN-13(EAN): 9781108063067
Издательство: Cambridge Academ
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Цена: 6494.00 р.
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Описание: Published in 1921 and aimed at mathematicians and classicists, this rigorous two-volume work traces ancient Greek mathematics from Thales of Miletus to the achievements of the Alexandrian algebraists. Volume 1 includes an introduction and a section on numerical notation and arithmetical operations. The coverage begins with Thales and extends to Euclid.

Classics in the History of Greek Mathematics

Автор: Jean Christianidis
Название: Classics in the History of Greek Mathematics
ISBN: 9048158508 ISBN-13(EAN): 9789048158508
Издательство: Springer
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Цена: 33541.00 р.
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The Beginnings of Greek Mathematics

Автор: A.M. Ungar; A. Szab?
Название: The Beginnings of Greek Mathematics
ISBN: 9048183499 ISBN-13(EAN): 9789048183494
Издательство: Springer
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Цена: 29768.00 р.
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Описание: When this book was first published, more than five years ago, I added an appendix on How the Pythagoreans discovered Proposition 11.5 of the `Elements`.

The Mathematics of Secrets: Cryptography from Caesar Ciphers to Digital Encryption

Автор: Holden Joshua
Название: The Mathematics of Secrets: Cryptography from Caesar Ciphers to Digital Encryption
ISBN: 0691183317 ISBN-13(EAN): 9780691183312
Издательство: Wiley
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Цена: 2533.00 р.
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Описание:

The Mathematics of Secrets takes readers on a fascinating tour of the mathematics behind cryptography--the science of sending secret messages. Most books about cryptography are organized historically, or around how codes and ciphers have been used, such as in government and military intelligence or bank transactions. Joshua Holden instead shows how mathematical principles underpin the ways that different codes and ciphers operate. Holden focuses on both code making and code breaking and he discusses the majority of ancient and modern ciphers currently known.

Holden begins by looking at substitution ciphers, built by substituting one letter or block of letters for another. Explaining one of the simplest and historically well-known ciphers, the Caesar cipher, Holden establishes the key mathematical idea behind the cipher and discusses how to introduce flexibility and additional notation. Holden goes on to explore polyalphabetic substitution ciphers, transposition ciphers, including one developed by the Spartans, connections between ciphers and computer encryption, stream ciphers, and ciphers involving exponentiation. He also examines public-key ciphers, where the methods used to encrypt messages are public knowledge, and yet, intended recipients are still the only ones who are able to read the message. He concludes with a look at the future of ciphers and where cryptography might be headed. Only basic mathematics up to high school algebra is needed to understand and enjoy the book.

With a plethora of historical anecdotes and real-world examples, The Mathematics of Secrets reveals the mathematics working stealthily in the science of coded messages.

Synthetic philosophy of contemporary mathematics

Автор: Zalamea, Fernando
Название: Synthetic philosophy of contemporary mathematics
ISBN: 0956775012 ISBN-13(EAN): 9780956775016
Издательство: MIT Press
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Цена: 4562.00 р.
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Описание: A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest.

A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics.

The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830-1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the "real mathematics" of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Ch telet), Zalamea challenges philosophy's self-imposed ignorance of the "making of mathematics."

In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd.

Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.


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