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Welcome to the fascinating journey through the life and achievements of one of India's greatest minds, Aryabhata. In this book, we will explore the remarkable contributions of Aryabhata, a visionary mathematician, and astronomer whose discoveries continue to shape our world today. Aryabhata's story is a testament to the power of human curiosity and intellect. He lived in ancient India, during a time when the Gupta dynasty was fostering a golden age of science, art, and culture. Against this backdrop, Aryabhata emerged as a pioneer, propelling our understanding of mathematics and astronomy to new heights. One of Aryabhata's most enduring legacies is the discovery of zero. Imagine a world without the concept of zero - a world where mathematics and science as we know them would be unimaginable. Aryabhata's ground-breaking work paved the way for the development of modern numerical systems, revolutionizing mathematics and facilitating advancements in countless fields. Throughout this book, we will journey through the key events in Aryabhata's life, from his birth in ancient Magadha to his revolutionary ideas about the rotation of the Earth and the precise calculations of planetary movements. We'll delve into his influential work, the "Aryabhatiya," and explore how it laid the foundation for trigonometry, positional notation, and calendar reforms. As we progress, we will uncover the profound impact Aryabhata had on future generations of mathematicians and astronomers, not only in India but around the world. His teachings and discoveries continue to inspire scholars to this day. So, as we embark on a captivating expedition through time, delving into the life, work, and enduring legacy of Aryabhata, the genius who discovered zero and forever changed the course of human knowledge. Together, we will unravel the story of a man who left an indelible mark on the history of mathematics and astronomy, a true visionary whose contributions continue to shape our understanding of the universe.
The Islamic state has spread its tentacles in India, penetrating stealthily into the academia, media and politics. The mastermind is Shamsur Ali, a physicist from Bangladesh. To destabilize India, he wants to create a sort of apocalypse, which the 21-year-old Kubha must prevent at any cost, come what may. In a brazen attempt at legitimizing the demolition of one of the most prominent historical structures in India, someone unbelievably, it could be both Hiranyagarbha Bharata, a radical Hindu outfit and the Islamic state resorts to a big deceit. Afsar Fareedi, a linguistic paleontologist, catches the fraud. In the melee, there are three gruesome murders, including that of her father, perhaps to eliminate all traces of a carpet which, Afsar discovers, has a lot hidden in its mysterious motifs. At the centre of all this is a verse composed by the maverick mathematician, Aryabhata, some 1,500 years ago.
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
When Aryabhata writes 'Aryabhatiya' in 499 CE, it was the golden period of the Indian culture in every aspect of human activity, such as Economy, Science, Philosophy, Art, and standard of living. After this work, Aryabhata got the attention of his fallows & peers. And then he passes away when he teaching at Nalanda University (Patliputra/Patna). After his death various mathematicians along with his disciples write commentaries on his writings, to continue his legacy. There are more than 15 commentaries till the 1800s and many after that. And there are mathematicians like Varahmihira, Bhaskara I, Brahmagupta, and Bhaskara II, who continue his method of doing mathematics and astronomy. So, if there are various commentaries there, then what is the purpose of this manuscript. To answer this, I would like to put the attention to the point, that thou Aryabhatiya contains highly applicable and advanced mathematics. But it also contains a verity of advanced principal on astronomy and that is the case with its commentaries by learned mathematicians, which divert us to the subject (mathematics) to another subject (astronomy). So, there is a need for a manuscript, that can give a glance of mathematics. So this manuscript is presented to fulfill the requirement. And this manuscript connects the work of Aryabhata to Brahmagupta and Bhaskara II, and highlight the development of the concept of zero to the origin of infinity. It is the main attraction of this work. The manuscript is prepared by selecting the verses from Aryabhatiya (33 verses), BrahmaSphuthaSiddanta (7 verses) by Brahmagupta, and SiddhantaSiromani (3 verses) by Bhaskara II. The author pays his gratitude to previous work done by writers such as 'K.S. Shukla' for "Aryabhatiya of Aryabhata", 'W.E Clark' for "The Aryabhatiya of Aryabhata", ' Pt. Sudhakara Dvivedin' for "BrahmaSphutaSiddhanta", 'H.T. Colebrooke' for "Algebra of Brahmagupta & Bhaskara II" and 'Dr. V. B Panickar' for "Bhaskaracharya's Bijganitam". These are the main source of this manuscript along with others ( as given in the bibliography section). While I began this work, I find that there are two controversial verses in Aryabhataiya from Ganitam (mathematics) section, i.e., verse no.- 6 &7. I face difficulty and not satisfied with the translation by the previous commentators, who declare them mathematically wrong, by ignoring the last verse of Aryabhatiya (The curse of Aryabhata). And I did not dare to go against the warning of Aryabhata and put forward my translation to them. And this work connects these Gurus to modern mathematicians such as B. Riemann & G. Cantor in the last chapter. This is the main attraction of this work. I hope 'Readers' will find themself connected to that.
Each volume of the Dictionary of World Biography contains 250 entries on the lives of the individuals who shaped their times and left their mark on world history. This is not a who's who. Instead, each entry provides an in-depth essay on the life and career of the individual concerned. Essays commence with a quick reference section that provides basic facts on the individual's life and achievements. The extended biography places the life and works of the individual within an historical context, and the summary at the end of each essay provides a synopsis of the individual's place in history. All entries conclude with a fully annotated bibliography.
Each volume of the Dictionary of World Biography contains 250 entries on the lives of the individuals who shaped their times and left their mark on world history. This is not a who's who. Instead, each entry provides an in-depth essay on the life and career of the individual concerned. Essays commence with a quick reference section that provides basic facts on the individual's life and achievements. The extended biography places the life and works of the individual within an historical context, and the summary at the end of each essay provides a synopsis of the individual's place in history. All entries conclude with a fully annotated bibliography.
The mysteries of the fifth Canto of the Srimad Bhagavatam have long puzzled students of Vedic cosmography and astronomy. Confronted with a description of the universe that seems much at variance with the information provided by our senses and standard astronomical calculations, foreign observers and even Indian commentators from the middle ages up to the present have concluded that the Bhagavatam`s account elaborated in other Puranas must be mythological. On the other hand the same persons have been much impressed with vedic astronomical treatises the jyotisasastras which provide remarkably accurate measurements of the solar system.