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This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.
In the 5th century, the Indian mathematician Aryabhata wrote a small but famous work on astronomy in 118 verses called the Aryabhatiya. Its second chapter gives a summary of Hindu mathematics up to that point, and 200 years later, the Indian astronomer Bhaskara glossed that chapter. Volume 1 of this work was an English translation of Bhaskara’s commentary, and this volume contains explanations for each verse commentary translated in volume 1.
Cover -- Copyright -- Contents -- List of Illustrations -- Preface -- 1. Fitting Out -- 2. Shakedown Cruise -- 3. To Pearl Harbor and the Pacific Fleet -- 4. Tarawa: Operation Galvanic -- 5. Independent Duties in the Gilbert and Ellice Islands -- 6. Operation Flintlock -- 7. To Espiritu Santo -- 8. Fifth Fleet Operations in the Southwest Pacific -- 9. Majuro -- 10. Personnel Changes -- 11. Operation Forager and the Battle of the Philippine Sea -- 12. Task Force 58 Returns to Saipan -- 13. The Cotten and Destroyer Squadron 50 Screen the Battle Line -- 14. Command Changes -- 15. Admiral Halsey Trains the Battle Line -- 16. Third Fleet Operations Prior to the Battle of Leyte Gulf -- 17. The Bat...
The reports of a conference of 11 scholars who began the task of examing together primary sources that might shed som elight on exactly how and in what fomrs mathematical problems, concepts, and techniques may have been transmitted between various civilizations, from antiquity down to the European Renaissance following more or less the legendary silk routes between China and Western Europe.
Zusammenfassung: This book contributes to a worldwide history of textual criticism and critical editions of ancient scientific texts. It first looks at ancient editorial practices, and at their impact on modern editions. Contributions analyze how, through time, the perception of what a text was may have changed, and influenced how scholarly texts were made accessible. The second section looks at the historical, political and social contexts within which editions and translations of ancient scientific texts were produced. Finally, the last two parts examine the specificities of editions and translations that bore on scholarly documents. Not only is there a focus on how the elements specific to scientific texts--such as diagrams and numbers--were treated, but case studies analyzing the specific work carried out to edit mathematical and astronomical texts of the past are also offered to the reader. The scholarship displayed in this work lays the foundation for further studies on the history of critical editions and raises questions to those who make scholarly translations and critical editions today
Seki was a Japanese mathematician in the seventeenth century known for his outstanding achievements, including the elimination theory of systems of algebraic equations, which preceded the works of Étienne Bézout and Leonhard Euler by 80 years. Seki was a contemporary of Isaac Newton and Gottfried Wilhelm Leibniz, although there was apparently no direct interaction between them. The Mathematical Society of Japan and the History of Mathematics Society of Japan hosted the International Conference on History of Mathematics in Commemoration of the 300th Posthumous Anniversary of Seki in 2008. This book is the official record of the conference and includes supplements of collated texts of Seki's original writings with notes in English on these texts. Hikosaburo Komatsu (Professor emeritus, The University of Tokyo), one of the editors, is known for partial differential equations and hyperfunction theory, and for his study on the history of Japanese mathematics. He served as the President of the International Congress of Mathematicians Kyoto 1990.
This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta—a doyen of history of mathematics—written on a variety of important topics pertaining to mathematics and astronomy in India. It is divided into ten parts. Part I presents three articles offering an overview of Professor Gupta’s oeuvre. The four articles in Part II convey the importance of studies in the history of mathematics. Parts III–VII constituting 33 articles, feature a number of articles on a variety of topics, such as geometry, trigonometry, algebra, combinatorics and spherical trigonometry, which not only reveal the breadth and depth of Professor Gupta’s work, but also highlight his deep commitment to the promotion of studies in the history of mathematics. The ten articles of part VIII, present interesting bibliographical sketches of a few veteran historians of mathematics and astronomy in India. Part IX examines the dissemination of mathematical knowledge across different civilisations. The last part presents an up-to-date bibliography of Gupta’s work. It also includes a tribute to him in Sanskrit composed in eight verses.
Islamicate Occult Sciences in Theory and Practice brings together the latest research on Islamic occult sciences from a variety of disciplinary perspectives, namely intellectual history, manuscript studies and material culture. Its aim is not only to showcase the range of pioneering work that is currently being done in these areas, but also to provide a model for closer interaction amongst the disciplines constituting this burgeoning field of study. Furthermore, the book provides the rare opportunity to bridge the gap on an institutional level by bringing the academic and curatorial spheres into dialogue. Contributors include: Charles Burnett, Jean-Charles Coulon, Maryam Ekhtiar, Noah Gardiner, Christiane Gruber, Bink Hallum, Francesca Leoni, Matthew Melvin-Koushki, Michael Noble, Rachel Parikh, Liana Saif, Maria Subtelny, Farouk Yahya, and Travis Zadeh.
* 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
Volume IIa presents a critical edition of Adhayāyas 26-31.14 from the Skandapurāṇa, complete with synopsis and annotation. The editors also provide a lengthy introduction and commentary on the edited text, and discuss both philological problems and matters of interpretation.