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Astronomical Application of Vedic Mathematics by Kenneth Williams Pdf
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.
Vedic Mathematics Or Sixteen Simple Mathematical Formulae from the Vedas for One-line Answers to All the Mathematical Problems) by Bhāratī Kṛṣṇa Tīrtha Pdf
Vertically and Crosswise by Andrew P. Nicholas,Kenneth R. Williams,Jeremy Pickles Pdf
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 Cosmic Calculator by Kenneth Williams,Mark Gaskell Pdf
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.
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.
Vedic Mathematics, 'Vedic' or 'Mathematics': A Fuzzy & Neutrosophic Analysis by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf
The ?Vedas? are considered ?divine? in origin and are assumed to be revelations from God. In traditional Hinduism, the Vedas were to be learnt only by the ?upper? caste Hindus. The ?lower castes? (Sudras) and so-called ?untouchables? (who were outside the Hindu social order) were forbidden from even hearing to its recitation. In recent years, there have been claims that the Vedas contain the cure to AIDS and the production of electricity.Here the authors probe into Vedic Mathematics (that gained renown during the revivalist Hindutva rule in India and was introduced into school syllabus in several states); and explore if it is really ?Vedic? in origin or ?Mathematics? in content. To gain a better understanding of its imposition, we interviewed students, teachers, parents, educationists and activists. We analyze this problem using models like Fuzzy Cognitive Maps (FCM), Fuzzy Relational Maps (FRM) and newly constructed Fuzzy Dynamical System (and their Neutrosophic Analogues). The issue of imposition of Vedic Mathematics into the school curriculum involves religious politics, caste supremacy, apart from elementary arithmetic ? so we use fuzzy and neutrosophic techniques to gain acute insight into how students have been affected because of this politically motivated syllabus revision.
Studies in Indian Mathematics and Astronomy by Aditya Kolachana,K. Mahesh,K. Ramasubramanian Pdf
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.
Vedic Mathematics by Swami Bharati Krishna Tirtha,Vasudeva Sharana Agrawala Pdf
This epoch-making and monumental work on Vedic Mathematics unfolds a new method of approach. It relates to the truth of numbers and magnitudes equally applicable to all sciences and arts. The book brings to light how great and true knowledge is born of intuition, quite different from modern Western method. The ancient Indian method and its secret techniques are examined and shown to be capable of solving various problems of mathematics. The universe we live in has a basic mathematical structure obeying the rules of mathematical measures and relations. All the subjects in mathematics-Multiplication, Division, Factorization, Equations, Calculus, Analytical Conics, etc.-are dealt with in forty chapters, vividly working out all problems, in the easiest ever method discovered so far. The volume, more a 'magic', is the result of intuitional visualization of fundamental mathematical truths born after eight years of highly concentrated endeavour of Jagadguru Sri Bharati Krsna Tirtha.
Vedic Mathematics for All Ages by Vandana Singhal Pdf
The author has attempted to codify several useful results embedded in the ancient lore, in a form which is easily accessible to the children learning mathematics. Many of the chapters deal with computations using simple techniques which will shorten the effort involved in the conventional approach. The price one pays, of course, is that one has to learn the tricks, memorize them and use the appropriate one for each problem. While one might think that this takes away the generality of the modern approach, it certainly has the element of charm and intrigue which children [and grown-ups!] will find entertaining. Even working out why many of these approaches lead to correct results is a valuable exercise by itself. Contents Foreword, Preface, Feedback, Introduction, 1. Complement, Subtraction, Multiplication by Specific Numbers, Base Multiplication, Working Base Multiplication, Multiplication, Algebra, Digital Roots, Divisibility, Division I, Division II, Squares, Straight Squaring, Cubes, Square roots of exact squares, Cube roots of exact cubes, Straight Division, Square roots II, Sutras, Glossary, Index.
VEDIC MATHEMATICS For Students, Level – 1 of 5 Series is the first book on Vedic Mathematics introducing the ancient techniques and fundamental concepts present in Mathematics. This book has detailed illustrations of all the methods explained in detail. This book helps students increase their ability and get into their comfort zone when solving problems. Vedic Mathematics can aspire young minds to be creative and improve lateral thinking. In ancient India, Mathematics was known by the general name Ganitha, which includes arithmetic, geometry, algebra, astronomy and astrology. In the field of Mathematics, ancient Indians made three distinct contributions – the notation system, the decimal system and the use of zero. The system discovered by Swami Bharathi Krishna Tirthaji is based on sixteen formulae (or sutras) and thirteen sub-formulae (upa-sutras). These sutras can be related to natural and mental functions such as completing a whole, noticing analogies, generalisation and so on. It provides one line, mental and super-fast methods along with quick cross-checking systems. It offers concepts, methods, tricks and shortcuts to workout complex mathematical problems fast, literally in few seconds without using calculators and computers. SALIENT FEATURES OF VEDIC MATHEMATICS: ü Removes fear of Mathematics ü Enables strong Logical thinking & Problem-Solving skills ü Enables Faster Calculations ü Improves Concentration ü Encourages Mental Calculations ü Encourages Multidimensional Thinking ü Develops Creativity
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.