Travelling Mathematics The Fate Of Diophantos Arithmetic PDF EPUB Download

Travelling Mathematics The Fate Of Diophantos Arithmetic also available in docx and mobi. Read Travelling Mathematics The Fate Of Diophantos Arithmetic online, read in mobile or Kindle.

Travelling Mathematics - The Fate of Diophantos' Arithmetic

Author: Ad Meskens

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 210

View: 744

In this book the author presents a comprehensive study of Diophantos’ monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. Its author, Diophantos, is an enigmatic figure of whom we know virtually nothing. Starting with Egyptian, Babylonian and early Greek mathematics the author paints a picture of the sources the Arithmetika may have had. Life in Alexandria, where Diophantos lived, is described and, on the basis of the limited available evidence, his biography is outlined. Of Arithmetika’s 13 books only 6 survive in Greek. It was not until 1971 that these were complemented by the discovery of 4 other books in an Arab translation. This allows the author to describe the structure, the contents and the mathematics of the Arithmetika in detail. Furthermore it is shown that Diophantos had a remarkable skill to solve higher degree equations. In the second part, the author draws our attention to the survival of Diophantos’ work in both Arab and European mathematical cultures. Once Xylander’s critical 1575 edition reached its European public, the fame of the Arithmetika grew. It was studied, translated and modified by such authors as Bombelli, Stevin and Viète. It reached its pinnacle of fame in 1621 with the publication of Bachet’s translation into Latin. The marginal notes by Fermat in his copy of Diophantos, including his famous “Last Theorem”, were the starting point of a whole new research subject: the theory of numbers.

The Oxford Dictionary of Late Antiquity

Author: Oliver Nicholson

Publisher: Oxford University Press

ISBN:

Category: History

Page: 1743

View: 772

The Oxford Dictionary of Late Antiquity is the first comprehensive reference book covering every aspect of history, culture, religion, and life in Europe, the Mediterranean, and the Near East (including the Persian Empire and Central Asia) between the mid-3rd and the mid-8th centuries AD, the era now generally known as Late Antiquity. This period saw the re-establishment of the Roman Empire, its conversion to Christianity and its replacement in the West by Germanic kingdoms, the continuing Roman Empire in the Eastern Mediterranean, the Persian Sassanian Empire, and the rise of Islam. Consisting of over 1.5 million words in more than 5,000 A-Z entries, and written by more than 400 contributors, it is the long-awaited middle volume of a series, bridging a significant period of history between those covered by the acclaimed Oxford Classical Dictionary and The Oxford Dictionary of the Middle Ages. The scope of the Dictionary is broad and multi-disciplinary; across the wide geographical span covered (from Western Europe and the Mediterranean as far as the Near East and Central Asia), it provides succinct and pertinent information on political history, law, and administration; military history; religion and philosophy; education; social and economic history; material culture; art and architecture; science; literature; and many other areas. Drawing on the latest scholarship, and with a formidable international team of advisers and contributors, The Oxford Dictionary of Late Antiquity aims to establish itself as the essential reference companion to a period that is attracting increasing attention from scholars and students worldwide.

From Alexandria, Through Baghdad

Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J.L. Berggren

Author: Nathan Sidoli

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 583

View: 628

This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.

Exploring Classical Greek Construction Problems with Interactive Geometry Software

Author: Ad Meskens

Publisher: Birkhäuser

ISBN:

Category: Mathematics

Page: 185

View: 844

In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.

Qualitative Computing

Author:

Publisher:

ISBN:

Category:

Page:

View: 616

Game, Set and Math

Enigmas and Conundrums

Author: Ian Stewart

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 208

View: 174

Twelve essays take a playful approach to mathematics, investigating the topology of a blanket, the odds of beating a superior tennis player, and how to distinguish between fact and fallacy.

Diophantine Geometry

An Introduction

Author: Marc Hindry

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 561

View: 174

This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.

History of mathematics

Author: Arthur Gittleman

Publisher: Merrill Publishing Company

ISBN:

Category: Mathematics

Page: 291

View: 129

Traces the origins and development of arithmetic, geometry, trigonometry, analytic geometry, and calculus from the ancient civilizations to the present

The Arithmetic Teacher

Author:

Publisher:

ISBN:

Category: Arithmetic

Page:

View: 959

Math Horizons

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 855

Best Books