[PDF] Advanced Vedic Mathematics by Rajesh Kumar Thakur Download Free

Download Advanced Vedic Mathematics was written by Rajesh Kumar Thakur in Pdf for Free to ace Vedic Maths to compete for Competitive Exams like SSC, Banking, Insurance & other Exams.

The world of maths is always expanding, and it can be difficult to keep up with all the new developments. Maybe you’ve heard about a new branch of mathematics called Vedic Maths, or maybe you haven’t.

Advanced Vedic Mathematics by Rajesh Kumar Thakur PDF
Advanced Vedic Mathematics by Rajesh Kumar Thakur PDF

In this article, we explore what Vedic Maths is, how it differs from regular math, and what it means for the future of mathematics. You might have heard that Vedic Maths is a system of maths that has been around for over 5,000 years. Unlike regular maths where numbers are restricted to ten digits, Vedic maths uses sixteen digits. This includes all 10 digits and six extra symbols called “atoms”. With these atoms, mathematical equations can be solved in fewer steps than before. Studies show that students who use Vedic Maths outperform their peers on every level.

About Book:

Vedic mathematics is a 5,000-year-old system that has sixteen sutras and 16 sub-sutras, which are not only good for solving simple arithmetic and algebra, but also deal with higher-level problems like calculus. In this book, renowned mathematician Rajesh Kumar Thakur lays out the complex Vedic Sutras in a comprehensive manner that helps to simplify their application to complicated issues.

Competitive exams today require a lot of knowledge in algebra, arithmetic, geometry and trigonometry. This book can help simplify these problems which you’ll find in partial fractions and differentiation.

About Author:

Rajesh Kumar Thakur is a mathematics teacher by profession, and also an award-winning mathematician. His publications total more than 57 books, 67 e-books and 350 blog posts since 2012 at the AIRMC of India. A number lover, he has won over 500 articles with various newspapers and magazines like Amar Ujala, Prabhat Khabar, Navbharat Times. He received several awards for his work including Math Genius Award, Arvind Pandey Yuva Lekhan Award, National Best Teacher Award, Global Teacher Award. You can contact him at [email protected] or @R_K_THAKUR on Twitter.

Advanced Vedic Mathematics PDF

In this blog we will talk about one of the most complex and interesting fields of mathematics, Vedic Mathematics. This field of mathematics is fairly new and not many people know it exists. It’s a branch of mathematics that deals with the properties and patterns in numbers and how they can be used to find answers fast and easily.

“This Book Is Small In Size But Greater In Quantity. Only Advanced Vedic Mathematics Book To Have.”

This Book deals with it very efficiently and is compiled in a great way to master in Vedic Maths. It comes up with great explanations with some Solved Questions for a good understanding of concepts. The book has been written by Rajesh Kumar Thakur who is well-versed on the subject matter, which is why he has provided an excellent insight into how the topic works and what makes it so difficult to understand at times.

Advanced Vedic Mathematics - Rajesh Kumar Thakur PDF
Advanced Vedic Mathematics – Rajesh Kumar Thakur PDF

Book Details:-

Book Name:Advanced Vedic Mathematics
Author/Publisher:Rupa Publications
No of Pages:208 Pages
File Type:PDF (Downloadable)
PDF Size:7.9 MB


  • This book is a must-have for anyone with a quantitative interest. When new, it may look content deficient but the more questions that are added the better it will be.
  • The book contains Vedic tricks for Higher Class Mathematical Calculations, it is useful for 10th to 12th standard.
  • It is a great book for all ages and especially people who are taking exams like Aptitude or competitive exams by other institutes.

Vedic Sutras

  • Ekadhikena Purvena —By one more than the previous one
  • Nikhilam Navatascaramam Dasatah —All from nine and last from ten
  • Urdhva Tiryagbhyam —Vertically and crosswise
  • Paravartya Yojayet —Transpose and apply
  • Sunyam Samasamuccaye —The summation is equal to zero
  • Anurupye Sunyamanyat —If one is in ratio, the other one is zero
  • Sankalana–Vyavakalanabhyam —By addition and subtraction
  • Puranapuranabhyam —By completion and non-completion
  • Calana–Kalanabhyam —Sequential motion
  • Yavadunam —The deficiency
  • Vyastisamastih —Whole as one and one as whole
  • Sesanyankena Caramena —Remainder by last digit
  • Sopantyadvayamantyam —Ultimate and twice the penultimate
  • Ekanyunena Purvena —By one less than the previous one
  • Gunitasamuccayah —The whole product is the same
  • Gunakasamuccayah —Collectivity of multipliers

Vedic Sub Sutras

  • Anurupyena —Proportionately
  • Sisyate Sesasamjnah —Knowing remainder from remainder
  • Adyamadyenantya–mantyena —First by first and last by last
  • Kevalaih Saptakam Gunyat —Only multiple of seven
  • Vestanam —Osculation
  • Yavadunam–Tavadunam —Whatever be the deficiency, lessen it further
  • Yavadunam Tavadunikrtya Varganaca Yojayet —Whatever the extent of its deficiency, lessen it further to that extent and set up the square of the deficiency
  • Antyayotdasakepi —When the sum of the last digits is ten
  • Antyayoreva —Only the last term
  • Samuccayagunitah —Sum of the coefficients in the product
  • Lopanasthapanabhyam —By elimination and retention
  • Vilokanam —The product of the sum of the coefficient
  • Gunitasamuccayah Samuccaya gunitah —The product of the sum of the coefficients in the
  • factor is equal to the sum of the coefficients in the product
  • Dwandwayogah —Duplex combination
  • Shuddah —Dot
  • Dhwajankam —Flag digit


1. Nikhilam Navatascaramam Dasatah:

The literal meaning is ‘all from 9 and the last from 10’. This means, start from the left-most digit, subtract all the digits from 9 and the last digit from 10. This is a base method which works better when a number is close to base 10 or a multiple of 10.

2. Anurupyena:

This Vedic sub-sutra literally means ‘proportionality’. This sub-sutra is applicable when either the multiplicand or the multiplier is sufficiently far away from the powers of base 10. (100, 1000, 10,000 and so on are powers of base 10, but if the base is near 20, 30, 250, 500, 750, and so on, then this sutra will be applicable.)

3. Ekanyunena Purvena:

It literally means ‘one less than the previous’. This sutra has limited application. It is used for multiplication wherein the multiplier digits consist entirely of 9s.

4. Urdhva Tiryagbhyam:

It is a general formula applicable to all cases of multiplication. It is a process of vertical and crosswise multiplication. This method has been further simplified and dealt with using the dot and cross method in this book.


1. Yavadunam Tavaduni Kritya Vargena Yojayet:

This Vedic sub-sutra is used for squaring numbers that are closer to the
base (10n). This Vedic sutra simply says,
a) Find the extent or deficiency of a number to be squared with respect to its base. This extent or deficiency is termed here as the deviation.
b) Set up the square of the deviation at the end.

2. Dwanda Yoga or Duplex Method:

The Duplex combination is applicable in all cases. The duplex of different combinations of digits that will make calculation easy is discussed in this chapter.


1. Anurupyen

Anurupyen Vedic Sutra is based on the concept of geometric progression. This method is best suited for cubing a small number comfortably. Though you can find the cube of a bigger number using this method, it involves a lot of calculations. In a geometric series, each successive number is the multiple of some constant ratio called r, or the common ratio.

2. Nikhilam Vedic Sutra

This method works better if the number to be cubed is near the base, which is either a multiple or a power of 10.

It is difficult to understand a book without understanding the basics. It will be more difficult if you do not have an idea about what vedic maths is, so I recommend that you first watch a few videos on youtube. They should help you get started with your advanced math classes!

Vedic maths tricks are good to learn and also easy to understand. They take longer than usual but they’re worth it in the end as you become more comfortable with these formulas. Here are some of our Vedics math tricks for you!

The Essentials of Vedic Mathematics by Rajesh Kumar Thakur PDF

The Essentials of Vedic Math is a great resource for those looking to master the ancient art of Vedic mathematics without the assistance of an expert. This system consists of 16 sutras and 16 sub-sutras and can be applied to a variety of situations today. Through this book, readers can learn how to make even the most basic arithmetic operations simpler, as well as how to tackle more complex mathematical concepts such as solving quadratic equations and cubing factorization. Considering the widespread use of Vedic mathematics among those preparing for competitive exams, this book can be a great resource in helping one gain an advantage.

Book Details:-

Book Name:The Essentials of Vedic Mathematics
Author/Publisher:Rajesh Kumar Thakur
No of Pages:297 Pages
File Type:PDF (Downloadable)
PDF Size:1.95 MB

This book was written to assist students who are studying for the CAT, SAT, XAT, MAT, banking entrance tests, engineering exams, and many other similar competitive tests. It focuses on the necessity of having speed and logic to finish the exam questions promptly and accurately. Furthermore, certain parts of the book are beneficial to students who are studying for their CBSE and ICSE exams. The book is created to be comprehensible and beneficial to a broad range of readers.

The Essentials of Vedic Mathematics - Rajesh Kumar Thakur PDF

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One comment

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