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.

This is a new release of the original 1930 edition.

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

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.

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

In 1150 AD, Bhaskaracarya (b. 1114 AD), renowned mathematician and astronomer of Vedic tradition composed Lilavati as the first part of his larger work called Siddhanta Siromani, a comprehensive exposition of arithmetic, algebra, geometry, mensuration, number theory and related topics. Lilavati has been used as a standard textbook for about 800 years. This lucid, scholarly and literary presentation has been translated into several languages of the world. Bhaskaracarya himself never gave any derivations of his formulae. N.H. Phadke (1902-1973) worked hard to construct proofs of several mathematical methods and formulae given in original Lilavati. The present work is an enlargement of his Marathi work and attempts a thorough mathematical explanation of definitions, formulae, short cuts and methodology as intended by Bhaskara. Stitches are followed by literal translations so that the reader can enjoy and appreciate the beauty of accurate and musical presentation in Lilavati. The book is useful to school going children, sophomores, teachers, scholars, historians and those working for cause of mathematics.