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Astronomical Applications of Vedic Mathemetics is a self-contained book which shows Vedic mathematics applications in many areas of Astronomy including Prediction of Eclipses the Solution of Kepler`s Equation (an important equation in astronomy for finding planetary coordinates), Solution of Spherical Triangles, Prediction of Planetary Positions.
The remarkable system of Vedic mathematics was created after careful study of ancient -Sanskrit texts early last century. The Vedic system with its direct, easy and flexible approach forms a complete system of mental, mathematics (though the methods can also' be written down) and brings out the naturally coherent and unified structure of mathematics. Many of the features and techniques of this unique system are truly amazing in their efficiency and originality. Being a mental system, Vedic Mathematics encourages creativity and innovation. Mental mathematics increases mental agility, improves memory, the ability to hold ideas in the mind and promotes confidence, as well as being of great practical use. This course consists of three textbooks an Answer Book and a Teacher's Guide. The course is aimed at 11-14 year old pupils though some of it is very suitable for children from 8 years. Vedic Mathematics is being taught in many schools world-wide with great success: many top mathematics prizes have been won by students of this system.
Vertically and Crosswise is an advanced book of sixteen chapters on one Vedic Mathematics sutra. Primarily it deals with the solution of equations, ranging from elementary examples of the sutra to no linear partical differential equations. Other topics include the inversion of matrices, curve-fitting, and methods of obtaining series expansions of common functions of one and ot two independent variables.
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.
Vedic Mathematics was reconstructed from ancient vedic texts early last century by Sri Bharati Tirthaji (1884-1960). It is a complete systems of mathematics which has many surprising properties and applies at all levels and areas of mathematics, pure and applied. The system is based on sixteen word-formulae that relate to the way in which we use our mind.
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.
This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I constitutes introductory articles which give an overview of the life and work of Prof. Shukla, including details of his publications, reminiscences from his former students, and an analysis of his monumental contributions. Part II is a collection of important articles penned by Prof. Shukla related to various aspects of Indian mathematics. Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof. Shukla. Parts IV and V consist of a number of important articles of Prof. Shukla on different aspects of Indian astronomy. Part VI includes some important reviews authored by him and a few reviews of his work. Given the sheer range and depth of Prof. Shukla’s scholarship, this volume is essential reading for scholars seeking to deepen their understanding of the rich and varied contributions made by Indian mathematicians and astronomers.