Mathematics in India has a long and impressive history. Presented in chronological order, this book discusses mathematical contributions of Pre-Modern Indian Mathematicians from the Vedic period (800 B.C.) to the 17th Century of the Christian era. These contributions range across the fields of Algebra, Geometry and Trigonometry. The book presents the discussions in a chronological order, covering all the contributions of one Pre-Modern Indian Mathematician to the next. It begins with an overview and summary of previous work done on this subject before exploring specific contributions in exemplary technical detail. This book provides a comprehensive examination of pre-Modern Indian mathematical contributions that will be valuable to mathematicians and mathematical historians. - Contains more than 160 original Sanskrit verses with English translations giving historical context to the contributions - Presents the various proofs step by step to help readers understand - Uses modern, current notations and symbols to develop the calculations and proofs

Mathematics in India has a long and impressive history. Presented in chronological order, this book discusses mathematical contributions of Pre-Modern Indian Mathematicians from the Vedic period (800 B.C.) to the 17th Century of the Christian era. These contributions range across the fields of Algebra, Geometry and Trigonometry. The book presents the discussions in a chronological order, covering all the contributions of one Pre-Modern Indian Mathematician to the next. It begins with an overview and summary of previous work done on this subject before exploring specific contributions in exemplary technical detail. This book provides a comprehensive examination of pre-Modern Indian mathematical contributions that will be valuable to mathematicians and mathematical historians. Contains more than 160 original Sanskrit verses with English translations giving historical context to the contributions Presents the various proofs step by step to help readers understand Uses modern, current notations and symbols to develop the calculations and proofs

Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).

Alphabetically arranged entries cover the history of astrology from ancient Mesopotamia to the 21st century. In addition to surveying the Western tradition, the book explores Islamic, Indian, East Asian, and Mesoamerican astrology. The field of astrology is growing rapidly, as historians recognize its centrality to the intellectual life of the past and sociologists and anthropologists treat its importance in a number of modern cultures. Despite the historical and cultural significance of the subject, most reference works on astrology focus on instructional techniques and are written by astrologers with little or no interest in the history of the topic. This book instead offers an objective treatment of astrology across world history from ancient Mesopotamia to the present. The book provides alphabetically arranged entries by expert contributors writing on such topics as horoscopes, court astrologers, Renaissance astrology, and comets. While it considers the Western tradition, it also treats Islamic, Indian, East Asian, and Mesoamerican astrology. In doing so, it explores the role of astrology in shaping science, literature, religion, art, and other defining cultural traditions. Sidebars offer excerpts from various historical texts, while entries provide suggestions for further reading.

"The Great Mathematicians of Bharat" emerges as a seminal work, aligning perfectly with the vision of the National Education Policy (NEP) 2020, which emphasizes the integration and appreciation of Indian Knowledge Systems (IKS) in contemporary education. This book meticulously documents the rich legacy of India's mathematical geniuses, serving as a crucial resource in rekindling interest and respect for Bharat's profound mathematical traditions. It underscores the symbiotic relationship between cultural ethos and scientific inquiry, highlighting how Indian mathematicians not only contributed to the field of mathematics but also how their work was deeply interwoven with Hindu spiritual and cultural practices. By chronicling the journey from ancient sages to modern masters, the book provides a comprehensive view of the evolution of mathematical thought in Bharat, thus fulfilling NEP 2020's objective of integrating indigenous knowledge with modern academic frameworks. In doing so, it not only educates but also inspires, setting a precedent for future academic endeavours to explore and celebrate India's rich intellectual heritage.

In this second edition of The Rise of Western Power, Jonathan Daly retains the broad sweep of his introduction to the history of Western civilization as well as introducing new material into every chapter, enhancing the book's global coverage and engaging with the latest historical debates. The West's history is one of extraordinary success: no other region, empire, culture, or civilization has left so powerful a mark upon the world. Daly charts the West's achievements-representative government, the free enterprise system, modern science, and the rule of law-as well as its misdeeds: two World Wars, the Holocaust, imperialistic domination, and the Atlantic slave trade. Taking us through a series of revolutions, he explores the contributions of other cultures and civilizations to the West's emergence, weaving in historical, geographical, and cultural factors. The new edition also contains more material on themes such as the environment and gender, and additional coverage of India, China and the Islamic world. Daly's engaging narrative is accompanied by timelines, maps and further reading suggestions, along with a companion website featuring study questions, over 100 primary sources and 60 historical maps to enable further study.