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The Power of Vedic Maths

The Power of Vedic Maths

by Atul Gupta 2013 207 pages
4.05
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Key Takeaways

1. Vedic Mathematics: An Ancient System for Rapid Mental Calculations

These techniques are derived from 16 sutras (verses) in the Vedas, which are thousands of years old and among the earliest literature of ancient Hindus in India.

Origins and principles. Vedic Mathematics is a system of mental calculation techniques derived from ancient Indian texts. Rediscovered by Jagadguru Swami Sri Bharati Krshna Tirthaji in the early 20th century, these methods are based on 16 sutras or aphorisms. These sutras encapsulate fundamental principles that can be applied to various mathematical operations, from basic arithmetic to complex algebra and calculus.

Benefits for learners. The Vedic system offers several advantages over conventional mathematical methods:

  • Increased calculation speed
  • Enhanced mental agility
  • Reduced reliance on calculators
  • Improved problem-solving skills
  • Greater enjoyment of mathematics

By mastering these techniques, students can develop a deeper understanding of mathematical relationships and patterns, leading to improved performance in both academic and real-world scenarios.

2. The Power of Sutra-Based Problem-Solving

It gives tremendous self-confidence to the students which leads them to enjoy mathematics instead of fearing and disliking it.

Sutras as mental shortcuts. Vedic sutras serve as mental shortcuts, allowing for quick and efficient problem-solving. Unlike traditional methods that often involve lengthy procedures, Vedic techniques enable users to arrive at solutions with fewer steps and less mental effort. This efficiency not only saves time but also reduces the likelihood of errors.

Key sutras and their applications:

  • "All from 9 and last from 10": Used for subtraction from numbers like 100, 1000, 10000
  • "Vertically and Crosswise": Employed in multiplication of multi-digit numbers
  • "By one more than the one before": Utilized in squaring numbers ending in 5

By internalizing these sutras, students can approach a wide range of mathematical problems with greater confidence and ease, transforming their relationship with the subject.

3. Mastering Basic Arithmetic Operations with Vedic Techniques

The Vedic method uses the sutra 'All from 9 and last from 10' and gives a very simple and powerful technique to achieve the same result.

Simplified addition and subtraction. Vedic mathematics offers innovative approaches to basic arithmetic operations. For subtraction, the "All from 9 and last from 10" sutra provides a quick method for subtracting from numbers like 100, 1000, or 10000. This technique eliminates the need for borrowing and carrying, making the process more intuitive and less error-prone.

Efficient multiplication methods:

  • Nikhilam method: For numbers close to bases like 100, 1000
  • Urdhva Tiryak method: Cross-multiplication technique for any two numbers
  • Special methods for numbers ending in 5 or 9

Division made easy. Vedic division techniques reduce complex divisions to simpler operations, often involving only single-digit divisors. This approach significantly reduces the mental strain associated with traditional long division methods.

4. Advanced Mathematical Computations Made Simple

Vedic maths provides a powerful method to compute the square of any number of any length with ease and get the answer in one line.

Squaring and square roots. Vedic mathematics offers elegant methods for computing squares and square roots of numbers. The concept of "duplex" is introduced, which simplifies the squaring process for any number, regardless of its length. Similarly, square root extraction is transformed into a series of simple steps, making it possible to perform these calculations mentally.

Cubes and cube roots. The Vedic system provides techniques for quickly calculating cubes of two-digit numbers and extracting cube roots. These methods are particularly useful in fields like engineering and physics, where such calculations are common.

Higher-order operations:

  • Fourth powers of numbers
  • Solving simultaneous equations
  • Checking divisibility by large numbers

By mastering these advanced techniques, students can tackle complex mathematical problems with greater ease and efficiency, opening up new possibilities in fields like science, engineering, and finance.

5. The Concept of Mishrank: Simplifying Complex Calculations

The technique of mishrank is very powerful and provides us with a method to convert digits in a number which are greater than 5, to digits less than 5.

Understanding Mishrank. Mishrank, also known as the vinculum system, is a powerful tool in Vedic mathematics for simplifying calculations involving large numbers. It involves converting digits greater than 5 to their complements with respect to 10, allowing for easier mental manipulation of numbers.

Applications of Mishrank:

  • Addition and subtraction of large numbers
  • Multiplication of numbers with digits close to 10
  • Division involving complex divisors
  • Squaring and cubing of numbers

The Mishrank technique reduces the mental strain associated with handling large numbers, making complex calculations more manageable and less error-prone. By converting difficult numbers into easier-to-handle forms, it enables faster computation and promotes a deeper understanding of numerical relationships.

6. Trigonometry and Algebra Through the Vedic Lens

In Vedic maths we have a concept of a triplet which is very effective in solving all these types of problems.

Vedic approach to trigonometry. The Vedic system introduces the concept of "triplets" for solving trigonometric problems. This approach simplifies the computation of trigonometric ratios and provides an intuitive understanding of the relationships between different trigonometric functions. By using triplets, students can quickly solve problems involving sine, cosine, and tangent functions without relying on complex formulae or tables.

Algebraic problem-solving:

  • Solving simultaneous equations using Vedic methods
  • Simplifying complex algebraic expressions
  • Finding roots of quadratic equations

The Vedic approach to algebra emphasizes pattern recognition and mental computation, allowing for quicker solution of complex problems. These techniques not only save time but also promote a deeper understanding of algebraic relationships, benefiting students in higher mathematics and related fields.

7. Practical Applications of Vedic Mathematics in Modern Life

I have also included a special chapter in which I have shown the application of the techniques to solve problems, collected from several competitive exams.

Competitive exams and standardized tests. Vedic mathematics techniques offer a significant advantage in time-sensitive situations like competitive exams. The ability to perform rapid mental calculations can save precious minutes, potentially improving overall performance. These methods are particularly beneficial for tests that don't allow calculators, such as certain sections of the SAT, GRE, or GMAT.

Real-world applications:

  • Financial calculations: Quick estimation of interest, discounts, and taxes
  • Scientific computations: Faster data analysis and problem-solving in research
  • Business decision-making: Rapid mental estimation for on-the-spot decisions
  • Coding and algorithms: Efficient implementation of mathematical operations in programming

By integrating Vedic mathematics into daily life and professional settings, individuals can enhance their problem-solving skills, improve decision-making speed, and gain a competitive edge in various fields. The practical nature of these techniques makes them valuable tools for students, professionals, and anyone seeking to improve their mathematical proficiency.

Last updated:

FAQ

What's "The Power of Vedic Maths" by Atul Gupta about?

  • Overview of Vedic Maths: The book introduces Vedic Maths, a system of mathematics derived from ancient Indian scriptures known as the Vedas. It focuses on simplifying mathematical calculations using 16 sutras or aphorisms.
  • Purpose and Audience: It aims to make mathematics enjoyable and accessible for students, teachers, and anyone interested in improving their mathematical skills.
  • Techniques Covered: The book covers a wide range of mathematical operations, including arithmetic, algebra, calculus, trigonometry, and geometry, using Vedic methods.
  • Practical Applications: It includes practical examples and exercises to help readers apply these techniques in real-world scenarios and competitive exams.

Why should I read "The Power of Vedic Maths" by Atul Gupta?

  • Simplifies Complex Calculations: The book offers techniques that drastically reduce the number of steps required to solve mathematical problems, making calculations faster and easier.
  • Builds Confidence: By mastering these techniques, readers can gain self-confidence in their mathematical abilities, transforming fear into enjoyment.
  • Versatile Techniques: The methods are applicable to a wide range of mathematical areas, from basic arithmetic to advanced calculus and trigonometry.
  • Competitive Edge: It includes a special chapter on applying Vedic Maths techniques to solve problems from competitive exams, providing a unique advantage.

What are the key takeaways of "The Power of Vedic Maths"?

  • Vedic Sutras: The book is based on 16 Vedic sutras that offer unique methods for solving mathematical problems efficiently.
  • Step-by-Step Approach: Each technique is explained in detail with solved examples, making it easy for readers to understand and apply.
  • Practice Problems: Over 1000 problems are provided for practice, with answers included for self-assessment.
  • Sequential Learning: The book is structured to be read sequentially, allowing readers to build on their knowledge progressively.

What are the best quotes from "The Power of Vedic Maths" and what do they mean?

  • "Mathematics is considered to be a dry and boring subject by a large number of people." This quote highlights the common perception of mathematics and sets the stage for the book's mission to change this view.
  • "These techniques reduce drastically, the number of steps required to solve problems." It emphasizes the efficiency of Vedic Maths in simplifying complex calculations.
  • "It gives tremendous self-confidence to the students which leads them to enjoy mathematics instead of fearing and disliking it." This quote underscores the transformative impact of mastering Vedic Maths techniques on a learner's confidence and attitude towards math.

How does "The Power of Vedic Maths" explain subtraction using Vedic methods?

  • Sutra Used: The book uses the sutra "All from 9 and last from 10" to simplify subtraction from numbers like 100, 1000, etc.
  • Vedic Method: Instead of carrying over digits, each digit is subtracted from 9, and the last digit is subtracted from 10, making the process faster and less mentally taxing.
  • Example Provided: For subtracting 7672 from 10000, the Vedic method quickly yields the result 2328 without the need for carrying over.
  • Application: This method is foundational and is used in more complex operations like multiplication and mishrank.

What is the "Multiplication with a series of 9s" technique in "The Power of Vedic Maths"?

  • Basic Concept: This technique involves multiplying a number by a series of 9s, such as 999 or 9999, using a simple method.
  • Step-by-Step Process: The first part of the result is one less than the given number, and the second part is the 9's complement of the first part.
  • Example: For 533 × 999, the result is 532467, where 532 is one less than 533, and 467 is the 9's complement of 532.
  • Oral Calculation: This method allows for quick mental calculations, especially useful for large numbers.

How does "The Power of Vedic Maths" approach division by 9?

  • Navasesh Concept: The book introduces the concept of 'Navasesh' or digital root, which is the remainder when a number is divided by 9.
  • Verification Method: Navasesh is used to verify the correctness of arithmetic operations like addition, subtraction, and multiplication.
  • Step-by-Step Division: The book provides a method to compute the quotient and remainder when dividing by 9, simplifying the process to basic addition.
  • Practical Application: This technique is particularly useful for checking the divisibility of numbers and verifying results quickly.

What is the "Nikhilam" multiplication method in "The Power of Vedic Maths"?

  • Base Concept: Nikhilam involves using a base (like 100 or 1000) to simplify multiplication, especially for numbers close to these bases.
  • Crosswise Addition: The method uses crosswise addition and multiplication of differences from the base to find the result.
  • Example: For multiplying 93 × 98, the base is 100, and the result is obtained as 9114 by crosswise addition and multiplication.
  • Versatility: This method can be extended to numbers close to other bases like 50, 250, and 500, making it highly versatile.

How does "The Power of Vedic Maths" explain the "Urdhva Tiryak" multiplication method?

  • Cross-Multiplication: Urdhva Tiryak involves vertical and crosswise multiplication of digits, providing a one-line solution for multiplication.
  • Digit-by-Digit Process: The method calculates each digit of the result by multiplying and adding specific pairs of digits.
  • Example: For 23 × 45, the result is obtained by multiplying and adding pairs of digits in a specific order, yielding 1035.
  • Scalability: This technique can be extended to multiply numbers with more digits, making it applicable to a wide range of problems.

What is the "Mishrank" technique in "The Power of Vedic Maths"?

  • Digit Conversion: Mishrank involves converting digits greater than 5 to their complements, simplifying arithmetic operations.
  • Application in Operations: It is used in addition, subtraction, multiplication, and division to make calculations faster and easier.
  • Example: For subtraction, 8988 - 6869 can be converted to an addition problem using mishrank, simplifying the process.
  • Versatility: Mishrank can also be applied to finding squares and cubes, demonstrating its wide applicability.

How does "The Power of Vedic Maths" approach finding square roots?

  • Duplex Concept: The book uses the concept of 'duplex' to simplify the process of finding square roots, even for non-perfect squares.
  • Step-by-Step Process: It involves subtracting the duplex of previous digits from the gross dividend to find the net dividend.
  • Example: For finding the square root of 2116, the process involves calculating duplexes and adjusting dividends to arrive at the result 46.
  • Decimal Accuracy: The method allows for finding square roots to any desired level of decimal accuracy, making it highly precise.

What are the applications of Vedic Maths in competitive exams as per "The Power of Vedic Maths"?

  • Sample Problems: The book includes a chapter with sample problems from competitive exams, demonstrating the application of Vedic Maths techniques.
  • Efficiency in Solutions: Solutions using Vedic Maths are often faster and more efficient, providing a competitive edge.
  • Variety of Problems: The problems cover a range of topics, including arithmetic, algebra, and geometry, showcasing the versatility of Vedic Maths.
  • Practice Exercises: Additional problems for practice are provided, allowing readers to gain expertise and confidence in using these techniques.

Review Summary

4.05 out of 5
Average of 100+ ratings from Goodreads and Amazon.

The Power of Vedic Maths receives generally positive reviews, with an average rating of 4.06 out of 5 based on 155 reviews. Readers find it easy to follow, with clear examples and step-by-step instructions. Some appreciate its comprehensive coverage of Vedic math techniques, while others note that certain concepts may be missing. The book is praised for its accessibility compared to other texts on the subject. Readers find some techniques more applicable than others, with multiplication and trigonometry being highlights. Overall, it's considered a good resource for those interested in mental math techniques.

Your rating:
4.45
27 ratings

About the Author

The author of "The Power of Vedic Maths" is listed as Unknown. There is limited information available about the author in the provided content. The librarian note indicates that there are multiple authors with the same name in the Goodreads database, suggesting potential confusion or ambiguity regarding the author's identity. Without additional details, it's not possible to provide a comprehensive summary of the author's background, qualifications, or other works. The lack of author information may impact readers' ability to assess the credibility or expertise behind the book's content on Vedic mathematics techniques.

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