Book:Bharati Krishna Tirthaji/Vedic Mathematics

Contents

 * General Editor's Foreword (Banaras Hindu University, Varanasi-5, March 17, 1965, V.S. Agrawala, M.A., Ph.D., D.Litt.)


 * Foreword (Varanasi, 22-3-1965, Swami Pratyagatmananda Saraswati)


 * A Humble Homage (Varanasi-5, 23-3-65, Prem Lata Sharma, Dean, Faculty of Music and Fine Arts, Banaras Hindu University)


 * I INTRODUCTORY
 * 1. My Beloved Gurudeva (Srimati Manjula Trivedi)
 * 2. Author's Preface
 * A. - A Descriptive Prefatory Note
 * B. - Explanatory Exposition
 * C. - Illustrative Specimen Samples


 * II TEXT


 * Sixteen Sūtras and their Corollaries
 * Prolegomena


 * CHAPTER
 * I. Actual Applications of the Vedic Sūtras
 * II. Arithmetical Computations
 * III. Multiplication
 * Practical Application (compound multiplication)
 * Practice & Proportion (compound multiplication)
 * IV. Division by the Nikhilam method
 * V. Division by the Parāvartya method
 * VI. Argumental Division
 * Linking note (Recapitulation & Conclusion)
 * VII. Factorisation (of simple quadratics)
 * VIII. Factorisation (of harder quadratics)
 * IX. Factorisation of Cubics etc.
 * X. Highest Common Factor
 * XI. Simple Equations (First Principles)
 * XII. Simple Equations (by Sūnyam etc.)
 * XIII. Merger Type of Easy Simple Equations
 * Extension method
 * XIV. Complex Mergers
 * XV. Simultaneous Simple Equations
 * XVI. Miscellaneous (Simple) Equations
 * XVII. Quadratic Equations
 * XVIII. Cubic Equations
 * XIX. Bi-quadratic Equations
 * XX. Multiple Simultaneous Equations
 * XXI. Simultaneous Quadratic Equations
 * XXII. Factorisation & Differential Calculus
 * XXIII. Partial Fractions
 * XXIV. Integration by Partial Fractions
 * XXV. The Vedic Numerical Code
 * XXVI. Recurring Decimals
 * XXVII. Straight Division
 * XXVIII. Auxiliary Fractions
 * XXIX. Divisibility & Simple Osculators
 * XXX. Divisibility & Complex Multiplex Osculators
 * XXXI. Sum & Difference of Squares
 * XXXII. Elementary Squaring, Cubin etc.
 * XXXIII. Straight Squaring
 * XXXIV. Vargamūla (square root)
 * XXXV. Cube Roots of Exact Cubes
 * XXXVI. Cube Roots (General)
 * XXXVII. Pythagoras' Theorem etc.,
 * XXXVIII. Apollonius' Theorem
 * XXXIX. Analytical Conics
 * XL. Miscellaneous Matters
 * Press Opinions