Vedic Mathematics

Bose Sumita

Description

Vedic Mathematics unfolds a new method of approach to mathematics. It is based on sixteen one line formulae known as "sutras" and thirteen one line corollaries known as "upa sutra". These simple straight forward formulae and techniques help in solving complex mathematical problems in quick and easy steps.The step-by-step easy methods explained in this book help to remove the mathematics phobia commonly present in students and boost their self-confidence. The short techniques elevate the performance level of the students in any exam be it school, college or competitive examination.Salient features:Salient features: Simple & lucid language Diagrammatic and step-by-step explanation Solved examples for clear understanding Practice exercise & Word of caution in every chapter Time Saving Tricks & Shortcuts Mini Mathematics Refresher Brain racking puzzles

Sujets

• Sciences et techniques

Informations

• Publié par: V & S Publishers
• Date de parution: 01 juin 2015
• Nombre de lectures: 0
• EAN13: 9789350574560
• Langue: English

Extrait

Sumita Bose
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© Copyright: ISBN 978-93-505745-6-0
DISCLAIMER
While every attempt has been made to provide accurate and timely information in this book, neither the author nor the publisher assumes any responsibility for errors, unintended omissions or commissions detected therein. The author and publisher make no representation or warranty with respect to the comprehensiveness or completeness of the contents provided.
All matters included have been simplified under professional guidance for general information only without any warranty for applicability on an individual. Any mention of an organization or a website in the book by way of citation or as a source of additional information doesn't imply the endorsement of the content either by the author or the publisher. It is possible that websites cited may have changed or removed between the time of editing and publishing the book.
Results from using the expert opinion in this book will be totally dependent on individual circumstances and factors beyond the control of the author and the publisher.
It makes sense to elicit advice from well informed sources before implementing the ideas given in the book. The reader assumes full responsibility for the consequences arising out from reading this book. For proper guidance, it is advisable to read the book under the watchful eyes of parents/guardian. The purchaser of this book assumes all responsibility for the use of given materials and information. The copyright of the entire content of this book rests with the author/publisher. Any infringement / transmission of the cover design, text or illustrations, in any form, by any means, by any entity will invite legal action and be responsible for consequences thereon.
Publisher’s Note
I n the modern age of computers and calculators, what if we get some techniques and methods by which we could tickle our brain and apply our mathematical skills in solving complex mathematical problems and solve them in less amount of time; even in less time a calculator takes to solve the same problems? Are there any such methods and techniques? Vedic Mathematics is the answer to this question.
Vedic Mathematics clearly highlights simple steps incorporated in the Vedas of solving complex mathematics problems in an easier, logical and interesting manner. It presents a very sound theoretical exposition with numerous illustrative problems and explanatory notes for easier understanding of critical mathematical problems detailed in 16 sutras and 13 sub-sutras. The step-by-step explanation of the various sutras and sub-sutras and the solved examples given in the book provide a clear and comprehensible understanding of various Vedic mathematical methods.
Vedic Mathematics is useful and interesting for a good many reasons. It is extremely easy to learn; it is effective, and it has a profound simplicity to it. Most of all, because you can achieve brilliant results in a relatively short time, it encourages us to learn in a fun way. Imagine, what better incentive to learn your math tables than to find you can beat your calculator timing with your own mental calculations?
This book will prove to be very useful for students of all age groups of schools and colleges. The most important use of this book will be for the aspirants of examinations like CAT, MAT, Banking, Railway, UPSC, SSC, Engineering, NTSC, Mathematics Olympiad, etc. The various shortcuts and tips, and formula lists for competitive examination discussed in the book will surely help the aspirants to manage their time properly as time plays a vital role in these examinations. We hope this book will help you achieve your goals.
Table of Contents
Preface
Tickle Your Brain
Introduction
Simplification by Traditional Method versus Vedic Method Sutra for squaring and conversion of fraction into decimal Ekadhikena Purvena Sutra for subtraction, multiplication and division Nikhilam Navatascharamam Dashatah Sutra for multiplication Urdhva-tiryagbhyam Sutra for division Paravartya Yojayet Sutra for linear equation, quadratic equation and rational expression Shunyam Samyasamuchaye Sutra for simultaneous linear equations (Anurupye) Shunyamanyat Sutra for simultaneous linear equations Sankalana-vyavkalanabhyam Sutra for solving quadratic and cubic equations Puranpuranabhyam Sutra for solving quadratic equations Chalana-Kalanabhyam Sutra for addition Yavadunam Sutra for Multiplication Vyastisamastih Sutra for converting a fraction into decimal Shesanyankena Charamena Sutra for multiplication by 12 and divisibility by 4 Sopantyadvyaymantyam Sutra for multiplication and conversion of special fractions into decimal Ekanyunena Purvena Sutra for checking factorization of a cubic expression Gunitasamuchayah Sutra for correlation between quadratic equation and the first derivative Gunaksamuchayah Sutra for multiplication Anurupyena Sutra for division Sisyate Sesasagynah Sutra for factorization of quadratic expression and area of rectangle Adyamadyenantyamantyena Sutra for converting special fractions into decimal Kevalaih Saptakam Gunyat Sutra for divisibility Vestanam Sutra for square and cube Yavadunam Tavdunam Sutra for square and cube Yavadunam Tavdunikrtya Varganchya Yojayet Sutra for multiplication Antyayordasakepi Sutra for rational expression Antyayoreva Sutra for factorization of cubic expressions Samuchyaygunitah Sutra for factorization of second degree equation in three variables Lopanasthapanabhyam Sutra for rational expression and simultaneous quadratic equations Vilokanam Sutra for factorization of quadratic and cubic expressions Gunitsamuchchayah Samuchchayagunitah Squareroot Vargamool Cube root Ghanamool Digit sum for checking the basic four operations Beejank
Answers
Formula List for Competitive Examinations
Time Saving Shortcuts & Tips
Preface
2012 is designated as National Year of Mathematics in India to mark the 125th birth anniversary of mathematicalgenius Srinivasa Ramanujan. Henceforth, his birthday 22nd December will be celebrated as National Mathematics Day in India.This book is an effort to commemorate the year of mathematics by highlighting the use of ancient vedic mathematical techniques in the modern world.
The main aim of the book is to remove the fear of mathematics and make it an enjoyable subject. The step-by-step explanation and the solved examples give a clear understanding of the various mathematical methods thereby increasing self-confidence. The word of caution in every chapter warns the students against common errors.
Taking the advantage of my long experience in teaching Mathematics my aim has been to showcase that acquiring skills in numbers can be easy, interesting, relevant and importantly super fun!
This book is a creation not only of the author but also of the editor, Mr. D J Borah as well as the wonderful designing and production team at V& S Publishers. The guidance from Mr. Sahil Gupta and encouragement from Mr. Vinod Gupta are incomparable. I sincerely thank them all for their valuable inputs.
As there is always a scope for improvement, any suggestion from my fellow teachers, students and other readers are most welcome.
– Sumita Bose
Tickle Your Brain
I. Playing Cards

A deck of cards is divided into three separate piles - A, B and C.
In pile A there are three times as many Blacks as there are Reds.
In pile B there are three times as many Reds as there are Blacks.
In pile C there two times as many Blacks as there are Reds.
How many cards of each colour are there in each of the three piles?
II. Population

Aryabhatta Nagar has two types of flats - Type I and Type II.
The number of people living in Type I flat is less than five hundred.
One third, one fourth, one fifth and one seventh of the population of Type I flats are all whole numbers. The sum of these fractions is equal to the ratio of the population living in Type II flats to that of the population of Type I flats. How many people live in Type II flats?
III. Waking Time

Mr. Ayush Ghosh catches a local train everyday from Howrah station. Unfortunately one day he fell asleep when the train still had twice as far to go as it had already travelled. Due to some unusual jerks he woke up halfway through the trip.
However, he fell asleep again. Now the train had half the distance to go that it had already covered. Mr.Ghosh woke up at the end of the journey.
What part of the total journey was he awake?
IV. Square Transformation

Suresh was given a 13 by 13 square sheet in an interview and asked to divide it into minimum number of squares. For example, the first square could be four by four the second five by five etc. He was also given the following conditions:
More than one square can be of the same size.
All the squares cannot be of the same size.
No portion of the big square can be left out.
Overlapping of squares is not allowed.
What was the least number of squares which Suresh could draw on the 13by 13 square sheet by fulfilling the above conditions?
V. Party Time

At a New Year party a person said - “In this party there are 17 children, 12 males, 19 females and 14 adults. If you include me the number of different boy- girl couple would be equal to the number of different man-woman couple.” Is the speaker a boy, a girl, a man or a woman?

Playing Cards
Let the number of red cards be x or z and the