Menelaus' ›Spherics‹
Menelaus' ›Spherics‹

Author: Roshdi Rashed

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2017-10-23

Total Pages: 888

ISBN-13: 3110571420

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Despite its importance in the history of Ancient science, Menelaus’ Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader will find here, for the first time edited and translated into English, the essentials of this tradition, namely: a fragment of an early Arabic translation and the first Arabic redaction of the Spherics composed by al-Māhānī /al-Harawī, together with a historical and mathematical study of Menelaus’ treatise. With this book, a new and important part of the Greek and Arabic legacy to the history of mathematics comes to light. This book will be an indispensable acquisition for any reader interested in the history of Ancient geometry and science and, more generally, in Greek and Arabic science and culture.

The Mathematics of the Heavens and the Earth
The Mathematics of the Heavens and the Earth

Author: Glen Van Brummelen

Publisher: Princeton University Press

Published: 2021-08-10

Total Pages: 352

ISBN-13: 1400833310

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The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.

College Geometry
College Geometry

Author: Howard Whitley Eves

Publisher: Jones & Bartlett Learning

Published: 1995

Total Pages: 392

ISBN-13: 9780867204759

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College Geometry is divided into two parts. Part I is a sequel to basic high school geometry and introduces the reader to some of the important modern extensions of elementary geometry- extension that have largely entered into the mainstream of mathematics. Part II treats notions of geometric structure that arose with the non-Euclidean revolution in the first half of the nineteenth century.

The Spherics of Theodosios
The Spherics of Theodosios

Author: Nathan Sidoli

Publisher: Taylor & Francis

Published: 2023-07-31

Total Pages: 555

ISBN-13: 1000896056

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This book provides the first English translation of the Greek text of the Spherics of Theodosios (2nd-1st century BCE), a canonical mathematical and astronomical text used from as early as the 2nd century CE until the early modern period. Accompanied by an introduction to the life and works of Theodosios and a contextualization of his Spherics among other works of Greek mathematics and astronomy, the translation is followed by a detailed commentary, and an accessible English paraphrase accompanied with mathematically generated diagrams. The volume has a broad appeal to both general and specialist readers who do not read ancient Greek – allowing readers to understand the mathematical and astronomical principles and methods used by ancient and medieval readers of this important text. The paraphrase with its mathematical diagrams will be useful for readers with a scientific and mathematical background. This study of one of the canonical mathematical and astronomical texts of the ancient Greco-Roman, classical Islamic, and medieval Christian worlds provides an invaluable resource for historians of science, astronomy, and mathematics, and scholars of the ancient and medieval periods.

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences
Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

Author: Ivor Grattan-Guinness

Publisher: Routledge

Published: 2002-09-11

Total Pages: 1788

ISBN-13: 1134957491

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* Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics

Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert
Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert

Author: Renzo Caddeo

Publisher: Springer Nature

Published: 2022-10-31

Total Pages: 437

ISBN-13: 3031095707

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This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes. These works had a major impact on the development of the differential geometry of surfaces and they deserve to be studied, not only as historical documents, but most of all as a rich source of ideas.

The Philosophers and Mathematics
The Philosophers and Mathematics

Author: Hassan Tahiri

Publisher: Springer

Published: 2018-08-14

Total Pages: 357

ISBN-13: 3319937332

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This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements. The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.

Studies in the Making of Islamic Science: Knowledge in Motion
Studies in the Making of Islamic Science: Knowledge in Motion

Author: Muzaffar Iqbal

Publisher: Routledge

Published: 2017-05-15

Total Pages: 583

ISBN-13: 135189725X

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Situated between the Greek, Indian and Persian scientific traditions and modern science, the Islamic scientific tradition received, enriched, transformed and then bequeathed scientific knowledge to Europe. The articles selected for this volume explore the fascinating process of knowledge in motion between different civilizations.