New history of greek mathematics, Netz, Reviel (stanford University, California)
Автор: Stedall, Jacqueline Название: The History of Mathematics: A Very Short Introduction ISBN: 0199599688 ISBN-13(EAN): 9780199599684 Издательство: Oxford Academ Рейтинг: Цена: 1582.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Gow Название: A Short History of Greek Mathematics ISBN: 1108009034 ISBN-13(EAN): 9781108009034 Издательство: Cambridge Academ Рейтинг: Цена: 3958.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: James Gow's A Short History of Greek Mathematics (1884) provided the first full account of the subject available in English, and it today remains a clear and thorough guide to early arithmetic and geometry. Beginning with the origins of the numerical system and proceeding through the theorems of Pythagoras, Euclid, Archimedes and many others, the Short History offers in-depth analysis and useful translations of individual texts as well as a broad historical overview of the development of mathematics. Parts I and II concern Greek arithmetic, including the origin of alphabetic numerals and the nomenclature for operations; Part III constitutes a complete history of Greek geometry, from its earliest precursors in Egypt and Babylon through to the innovations of the Ionic, Sophistic, and Academic schools and their followers. Particular attention is given to Pythagorus, Euclid, Archimedes, and Ptolemy, but a host of lesser-known thinkers receive deserved attention as well.
Автор: Sialaros Michalis Название: Revolutions and Continuity in Greek Mathematics ISBN: 3110563657 ISBN-13(EAN): 9783110563658 Издательство: Walter de Gruyter Цена: 43460.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Kuhn's 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.
Автор: Heath Название: A History of Greek Mathematics ISBN: 1108063063 ISBN-13(EAN): 9781108063067 Издательство: Cambridge Academ Рейтинг: Цена: 6494.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: The understanding of motion - the core concept of natural philosophy - underwent crucial changes in Greek thinking from Parmenides to Aristotle. This book examines the logical, methodological, and mathematical foundations for the emergence of a full conception of motion that also allows for comparing and measuring speeds.
Автор: A.M. Ungar; A. Szab? Название: The Beginnings of Greek Mathematics ISBN: 9048183499 ISBN-13(EAN): 9789048183494 Издательство: Springer Рейтинг: Цена: 29768.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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`.
Автор: Heath Название: A History of Greek Mathematics ISBN: 1108063071 ISBN-13(EAN): 9781108063074 Издательство: Cambridge Academ Рейтинг: Цена: 8078.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Zalamea, Fernando Название: Synthetic philosophy of contemporary mathematics ISBN: 0956775012 ISBN-13(EAN): 9780956775016 Издательство: MIT Press Рейтинг: Цена: 4562.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Chvatal, Vasek (concordia University, Montreal) Название: Discrete mathematical charms of paul erdos ISBN: 1108927408 ISBN-13(EAN): 9781108927406 Издательство: Cambridge Academ Рейтинг: Цена: 3642.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This captivating book provides an introduction to fundamental results of discrete mathematics through the work of Paul Erdos, blended with first-hand reminiscences of his work and life. Written for students, it covers topics ranging from Bertrand`s postulate to evolution of random graphs and topics not typically covered in introductory courses.
Автор: Hayward, Ryan B. Название: Hex, inside and out ISBN: 0367144255 ISBN-13(EAN): 9780367144258 Издательство: Taylor&Francis Рейтинг: Цена: 26796.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written for a wide audience, this is the full story of Hex, inside and out, with all its twists and turns: Hein`s creation, Lindhard`s puzzles, Nash`s proofs, Gale`s Bridg-it, the game of Rex, Shannon`s machines, Bridg-it`s fall, Hex`s resilience, Hex theory, the hunt for winning strategies, and the rise of Hexbots.
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.
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