Number System in Samskrit


Book Description

Vedanga Jyothisha says - "Like the crest of the peacock, like the gem on the head of a snake, so is Mathematics at the head of all knowledge". Indian Mathematicians are numerous - Pingala, Aryabhata, Bhaskara, Brahmagupta, Kaatyaayana, Mahaaveeraacaarya, Maadhava, Sreedharaacaarya, Bhaarati Krishna Teerthaji Maharaaj and so on. Their contributions to the world of Mathematics are lot many - place value system, importance of 'Zero', etc. Vedas and Mathematics are inseparable. It is an integral part of Vedas, which origin is yet to be clearly specified. Hence the origin of Indian Mathematics also cannot be defined. They used different systems to represent numbers - the major three systems are Katapayaadi Sankhyaa, Bhoota Sankhya and Aryabhateeya Sankhya. These system of numbers were used to represent mathematics through poetic words - dual expertise. It is an ocean. This book tries to bring out a drop from this ocean.




A Sanskrit Grammar for Students


Book Description

This paperback edition of the 1927 text supplies a complete account of classical sanskrit, the literary language of ancient India. After a brief history of sanskrit grammar and a chart of the Devanagari letters, Macdonell, former Boden Professor of Sanskrit at Oxford University provides chapters on alphabet, declension, conjugation, indeclinable words, nominal stem formation, and syntax.







The Cambridge Introduction to Sanskrit


Book Description

This book uses modern pedagogical methods and tools that allow students to grasp straightforward original Sanskrit texts within weeks.







Līlāvatī of Bhāskarācārya


Book Description

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.




Zero


Book Description

Zero indicates the absence of a quantity or a magnitude. It is so deeply rooted in our psyche today that nobody will possibly ask "What is zero?" From the beginning of the very creation of life, the feeling of lack of something or the vision of emptiness/void has been embedded by the creator in all living beings. While recognizing different things as well as the absence of one of these things are easy, it is not so easy to fathom the complete nothingness viz. the universal void. Although we have a very good understanding of nothingness or, equivalently, a zero today, our forefathers had devoted countless hours and arrived at the representation and integration of zero and its compatibility not only with all non-zero numbers but also with all conceivable environments only after many painstaking centuries. Zero can be viewed/perceived in two distinct forms: (i) as a number in our mundane affairs and (ii) as the horrific void or Absolute Reality in the spiritual plane/the ultimate state of mind. Presented are the reasons why zero is a landmark discovery and why it has the potential to conjure up in an intense thinker the dreadful nothingness unlike those of other numbers such as 1, 2, and 3. Described are the representation of zero and its history including its deeper understanding via calculus, its occurrences and various roles in different countries as well as in sciences/engineering along with a stress on the Indian zero that is accepted as the time-invariant unique absolute zero. This is followed by the significant distinction between mathematics and computational mathematics and the concerned differences between the unique absolute zero and non-unique relative numerical zeros and their impact and importance in computations on a digital computer. - Introduces the history of the value of zero and why it was a landmark discovery - Discusses how zero is used in science and engineering and its use in different countries - Explains how zero affects different mathematics and calculus




Science of the Mystical


Book Description

The author, is a practicing physician, and with her deep understanding of Science, views that the ancient Indian scriptures are all scientific treatises, which in addition to providing solution to the problems faced in the physical world, also help in transcend it to higher levels. She cites various discoveries by Western Scientists to substanciate her claim and establishes that religious practices like fasting meditation etc have deep impact on well being of a person. She has also attempted to explain the logic behind miracles, multiple universestime-dialation etc from a scientific perspective.







The Great Mathematicians of Bharat


Book Description

"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.