Sources and studies in the history of mathematics and physical sciences
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 423-426) and index.
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India : the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry ; a classical period inaugurated by Aryabhata's invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions ; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlights of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts. Recent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translation of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts.
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Mathematics of India.
شماره استاندارد بين المللي کتاب و موسيقي
9789811317743
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Calculus-- India-- History.
موضوع مستند نشده
Mathematicians-- India-- History.
موضوع مستند نشده
Mathematics-- History.
موضوع مستند نشده
Mathematics-- India-- History.
موضوع مستند نشده
Mathematics-- Study and teaching.
موضوع مستند نشده
Trigonometry-- India-- History.
موضوع مستند نشده
Calculus.
موضوع مستند نشده
Mathematicians.
موضوع مستند نشده
Mathematics-- Study and teaching.
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Trigonometry.
نام جغرافیایی به منزله موضوع
موضوع مستند نشده
India.
بدون عنوان
7
رده بندی کنگره
شماره رده
QA27
.
I4
نشانه اثر
D58
2018
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )