The Aryabhatiya of Aryabhata

The Aryabhatiya of Aryabhata PDF Author: Walter Eugene Clark
Publisher:
ISBN: 9781494010546
Category :
Languages : en
Pages : 120

Book Description
This is a new release of the original 1930 edition.

Life and Works of Aryabhata

Life and Works of Aryabhata PDF Author: Shalu Sharma
Publisher: CreateSpace
ISBN: 9781495351389
Category : Mathematics
Languages : en
Pages : 82

Book Description
Aryabhata (sometimes spelled as Aryabhatta) was one of the greatest mathematician and astronomer of the classical world. He not only had enormous influence in India but across the world. He was only 23 years old when he wrote the Aryabhatiya. It consisted of this findings including astronomical constants and the sine table, mathematics, the reckoning of time (movement of heavenly bodies) and about the cosmos. He was the one to calculate the value of Pi, observed solar and lunar eclipses, calculated the summation of series of squares and cubes, determined the area of a triangle, defined cosine, versine and inverse sine. He is credited for finding how long it took the earth to spin on its axis, the length of the year and coming up with the heliocentric model and much more. Unfortunately, many of us do not even know who Aryabhata is. Sadly, not much is even known about his life, where he came from, about his parentage or even his name for that matter. This book discovers and evaluates the life and works of the world's most important and forgotten mathematician and astronomer. Find out who Aryabhata was and what he did? Topics covered in the "Life and Works of Aryabhata" Who was Aryabhata? World's greatest mathematicians Indian mathematicians Ancient Indian mathematics Indian mathematics Introduction to Aryabhata Name and place of birth of Aryabhata Taregna - The (birth) place of Aryabhata The works of Aryabhata The Arya-Siddhanta Who invented Pi? Approximation of Pi by others and Aryabhata Aryabhata was not the first to use zero The real story of zero History of algebra Aryabhata and algebra Aryabhata and trigonometry Indian astronomy and Aryabhata Astronomical observations of Aryabhata Heliocentrism and Aryabhata References and further reading

Resolving the Controversies in Astrology and Vedic Astronomy

Resolving the Controversies in Astrology and Vedic Astronomy PDF Author: Dr Sriharsha Indrasena FRCS
Publisher: Devpura Publications (Private) Limited
ISBN:
Category : Body, Mind & Spirit
Languages : en
Pages : 279

Book Description
How astrology works, Rahu-Ketu, tropical zodiac vs sidereal zodiac, Ayanamsha, Vedic calendar, Chaturyuga and Mahayuga, extra and lost months, Saptarshis calendar, Graha Yuddha, Charakaraka, Saka year, Salivahana Saka, Vikram Smvat, Kali year, Yavanapura, dating Varahamihira, Aryabhatta and Kalidasa, King Vikramaditya and the Indian chronology and many more.

Expounding the Mathematical Seed. Vol. 1: The Translation

Expounding the Mathematical Seed. Vol. 1: The Translation PDF Author: Agathe Keller
Publisher: Springer Science & Business Media
ISBN: 3764375922
Category : Science
Languages : en
Pages : 224

Book Description
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. This volume is a literal English translation of Bhaskara’s commentary complete with an introduction.

Encyclopaedia of the Hindu World

Encyclopaedia of the Hindu World PDF Author: Gaṅgā Rām Garg
Publisher:
ISBN: 9788170223733
Category : Hinduism
Languages : en
Pages : 330

Book Description


The Aryabhatiya; With the Commentary Bhatadîpikâ of Paramâdîçvara

The Aryabhatiya; With the Commentary Bhatadîpikâ of Paramâdîçvara PDF Author: B. Aryabhata
Publisher: Legare Street Press
ISBN: 9781015526013
Category : History
Languages : en
Pages : 0

Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A History of Ancient and Early Medieval India

A History of Ancient and Early Medieval India PDF Author: Upinder Singh
Publisher: Pearson Education India
ISBN: 9788131711200
Category : History
Languages : en
Pages : 708

Book Description
Basic Approach Developed as a comprehensive introductory work for scholars and students of ancient and early medieval Indian history, this books provides the most exhaustive overview of the subject. Dividing the vast historical expanse from the stone age to the 12th century into broad chronological units, it constructs profiles of various geographical regions of the subcontinent, weaving together and analysing an unparalleled range of literary and archaeological evidence. Dealing with prehistory and protohistory of the subcontinent in considerable detail, the narrative of the historical period breaks away from conventional text-based history writing. Providing a window into the world primary sources, it incorporates a large volume of archaeological data, along with literary, epigraphic, and numismatic evidence. Revealing the ways in which our past is constructed, it explains fundamental concepts, and illuminates contemporary debates, discoveries, and research. Situating prevailing historical debates in their contexts, Ancient and Early Medieval India presents balanced assessments, encouraging readers to independently evaluate theories, evidence, and arguments. Beautifully illustrated with over four hundred photographs, maps, and figures, Ancient and Early Medieval India helps visualize and understand the extraordinarily rich and varied remains of the ancient past of Indian subcontinent. It offers a scholarly and nuanced yet lucid account of India s early past, and will surely transform the discovery of this past into an exciting experience. Tabel of Contents List of photographs List of maps List of figures About the author Preface Acknowledgements A readers guide 1. Understanding Literary and Archaeological Sources 2. Hunter-Gatherers of the Palaeolithic and Mesolithic Ages 3. The Transition to Food Production: Neolithic,Neolithic Chalcolithic, and Chalcolithic Villages, c. 7000 2000 bce 4. The Harappan Civilization, c. 2600 1900 bce 5. Cultural Transitions: Images from Texts and Archaeology, c. 2000 600 bce 6. Cities, Kings, and Renunciants: North India, c. 600 300 bce 7. Power and Piety: The Maurya Empire, c. 324 187 bce 8. Interaction and Innovation, c. 200 BCE 300 ce 9. Aesthetics and Empire, c. 300 600 ce 10. Emerging Regional Configurations, c. 600 1200 ce Note on diacritics Glossary Further readings References Index Author Bio Upinder Singh is Professor in the Department of History at the University of Delhi. She taught history at St. Stephen s College, Delhi, from 1981 until 2004, after which she joined the faculty of the Department of History at the University of Delhi. Professor Singh s wide range of research interests and expertise include the analysis of ancient and early medieval inscriptions; social and economic history; religious institutions and patrona≥ history of archaeology; and modern history of ancient monuments. Her research papers have been published in various national and international journals. Her published books include: Kings, Brahmanas, and Temples in Orissa: An Epigraphic Study (AD 300 1147) (1994); Ancient Delhi (1999; 2nd edn., 2006); a book for children, Mysteries of the Past: Archaeological Sites in India (2002); The Discovery of Ancient India: Early Archaeologists and the Beginnings of Archaeology (2004); and Delhi: Ancient History (edited, 2006).

Sûrya-Siddhânta

Sûrya-Siddhânta PDF Author: Phanindralal Gangooly
Publisher: Motilal Banarsidass Publ.
ISBN: 9788120806122
Category : Science
Languages : en
Pages : 498

Book Description
The oldest and most important treaitse of the post-Christian period on Indian Astronomy that has come down to us is the Surya Siddhanta consisting 14 chapters written in slokas. Alberuni says that Lata was the author of this work. According to the introductory verses Surya the sun-god revealed it to Asura Maya in the city of Romaka.

Cultural Foundations of Mathematics

Cultural Foundations of Mathematics PDF Author: C. K. Raju
Publisher: Pearson Education India
ISBN: 9788131708712
Category : Calculus
Languages : en
Pages : 536

Book Description
The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.

Taming the Untamed

Taming the Untamed PDF Author: Devinder Dhingra
Publisher: Devinder Kumar Dhingra
ISBN:
Category : Science
Languages : en
Pages : 168

Book Description
A must-read for astrologers and intriguing for astronomers who wish to explore the ancient stuff, the book has the author’s complete research work on the subject. The new edition three is divided in two parts. The first, ‘Preliminary’ part, has all the relevant six chapters of the author’s research on the 27 degrees ayanamsha mentioned in the Surya Siddhanta that earlier used to be in the old editions of ‘The Unanswered part I’. The second, ‘Mains’ part, resolves all the ambiguities associated with the ayanamsha puzzle and provides concrete solutions. Readers will learn about the basic revolution, the concept of nirayana in detail and how the figure of 4320K years yuga is valid apart from other related discussions. Being first in the world, it reveals certain important findings such as "how controversial oscillating ayana of 27 degree as mentioned in Surya Siddhantha is valid even when compared to modern astronomy?" and why it is called ayanamsa and not vishuwamsa? Additionally, it resolves the issue of Surya Siddhantha's longer year length and explains how it is calculated.