What is *The Power of Vedic Maths* by Atul Gupta about?

*The Power of Vedic Maths* introduces 16 ancient Vedic sutras to simplify complex calculations mentally, covering algebra, arithmetic, trigonometry, and geometry. Designed for students and professionals, it emphasizes speed and accuracy through techniques like rapid multiplication, division, and square roots, with examples from competitive exams like CAT and CET.

Who should read *The Power of Vedic Maths*?

The book targets students (grades 3–12), teachers, parents, and competitive exam aspirants aiming to reduce calculation time. It’s also valuable for professionals seeking mental math skills for finance, coding, or daily tasks. Non-mathematical readers benefit from its step-by-step approach.

Is *The Power of Vedic Maths* worth reading?

Yes—readers praise its clear explanations, 1000+ practice problems, and real-world applications. Reviewers highlight improved exam performance and reduced math anxiety. However, some note missing advanced concepts, though its accessibility makes it a top choice for Vedic math beginners.

What Vedic Maths techniques does the book teach?

Key methods include: - **Multiplication shortcuts** (e.g., Nikhilam Sutra for numbers near base 10/100). - **Division tricks** like flag-digit division. - **Square roots and cubes** using Dwandwa Yoga. - **Trigonometry applications** for rapid angle calculations.

How does *The Power of Vedic Maths* help in competitive exams?

It teaches mental calculation strategies to solve problems 3–5x faster, critical for exams like SAT, GRE, or CAT. The special chapter analyzes past exam questions, emphasizing pattern recognition and error reduction.

Can Vedic Maths from the book be used in daily life?

Absolutely. Techniques apply to: - **Financial tasks**: Interest, tax, and discount calculations. - **Workplace decisions**: Quick estimations for meetings. - **Education**: Simplifying complex fractions for homework.

What key lessons does *The Power of Vedic Maths* emphasize?

- **Math phobia reduction**: Builds confidence through oral practice. - **Logical thinking**: Enhances problem-solving via pattern recognition. - **Efficiency**: Replaces lengthy steps with one-line solutions.

Does the book include practice exercises?

Yes—it features 1000+ problems with answers, ranging from basic arithmetic to competitive exam-level challenges. Solved examples demonstrate each technique’s application.

베다수학의 원리 요약

삼각법을 활용하여

아툴 굽타

4.06(157 Reviews)

베다수학의 원리 요약 개요

복잡한 문제를 간단한 해결책으로 바꾸는 고대 인도의 시스템, 베다 수학으로 번개처럼 빠른 계산 능력을 갖춰보세요. Microsoft MVP Atul Gupta의 165페이지 분량의 가이드는 수많은 학생들이 CAT 및 AIEEE와 같은 경쟁 시험에서 우수한 성적을 거둘 수 있도록 도왔습니다. 1,000개의 문제를 절반의 시간 안에 해결할 수 있습니까?

전달 방식을 선택하세요

다양한 학습 방식으로 베다수학의 원리 요약 살펴보기

베다수학의 원리의 같은 아이디어를 담았습니다. 나에게 맞는 목소리, 깊이, 속도를 고르고 언제든 바꿔 보세요.

1장

Unlocking Mathematical Brilliance Through Ancient Wisdom

Mathematics has long been feared by many, its complexity causing anxiety in classrooms worldwide. Yet within the ancient Vedic texts lies a revolutionary approach that transforms this dreaded subject into something not just manageable, but genuinely enjoyable. "The Power of Vedic Maths" by Atul Gupta unveils these techniques, derived from 16 sutras (formulas) rediscovered by Jagadguru Swami Sri Bharati Krshna Tirthaji after eight years of intensive study. This approach has gained remarkable popularity in educational circles, with thousands of students worldwide embracing these methods to dramatically improve their calculation speed and mathematical confidence. Even celebrities like Shakuntala Devi, known as the "human computer," attributed her extraordinary mathematical abilities to these ancient techniques. What makes this system truly revolutionary is how it transforms intimidating multi-step problems into elegant, often single-line solutions that can frequently be performed mentally-changing not just how we calculate, but our entire relationship with numbers.

2장

The Elegant Simplicity of Foundational Techniques

The journey into Vedic mathematics begins with two deceptively simple techniques that form the backbone of this mathematical system. The first involves subtraction from powers of 10 using the sutra "All from 9 and last from 10." Rather than the conventional method of borrowing and carrying, this technique simply requires subtracting each digit from 9 and the final digit from 10. For example, to calculate 10000-7672, we compute (9-7)(9-6)(9-7)(10-2) = 2328. This eliminates the mental burden of carrying and makes the calculation nearly instantaneous. Similarly, for 1000-684, we would calculate (9-6)(9-8)(10-4) = 316, demonstrating how this method works equally well with different powers of 10. The second foundational technique concerns multiplication with a series of 9s. When multiplying an n-digit number by n nines (like 533x999), the result follows a beautiful pattern: the first part is one less than the original number (532), and the second part is the 9's complement of the first part (467), yielding 532467. This pattern extends elegantly to cases where we have more or fewer 9s than digits in the number. For instance, when multiplying 724 by 99, we subtract 1 from 724 (723) and then find its complement to 99 (77), resulting in 71,676. For larger numbers, like 846 x 9999, we get 845 followed by its complement to 999 (154), yielding 8,459,154. These techniques exemplify the Vedic approach-transforming seemingly complex calculations into elegant patterns that can be performed mentally with minimal effort. Rather than relying on memorization of tables or algorithms, Vedic mathematics reveals the inherent structure and harmony within numbers, allowing calculations to flow naturally. The beauty lies not just in the speed of calculation but in how these methods unveil the hidden relationships between numbers, creating a sense of mathematical intuition that conventional approaches rarely develop. The power of these foundational techniques becomes even more apparent when combined with other Vedic methods. For instance, the subtraction technique can be modified for addition to powers of 10, while the multiplication pattern with 9s serves as a gateway to understanding more complex multiplication strategies. Students often report that mastering these basic techniques not only improves their calculation speed but also enhances their overall number sense and problem-solving abilities. These methods demonstrate how Vedic mathematics transforms arithmetic from a mechanical process into an intuitive art form, where patterns and relationships become immediately apparent to the practiced eye. The simplicity of these techniques also makes them particularly valuable in educational settings. Teachers report that students who struggle with traditional arithmetic often find these methods more accessible and engaging. The immediate success they experience with these techniques builds confidence and encourages further exploration of mathematical concepts. This accessibility, combined with the elegant logic underlying each method, exemplifies why Vedic mathematics continues to gain recognition as both a practical tool for calculation and a beautiful system for understanding numerical relationships.

들리는 모든 단어를 눈으로 확인하세요

베다수학의 원리 요약의 각 단어가 오디오에 맞춰 실시간으로 강조되어 편하게 따라 읽을 수 있습니다.

3장

The Mystical Properties of Nine

The number 9 holds a special place in Vedic mathematics, serving as a powerful tool for verification and divisibility testing through the concept of "Navasesh" (remainder when dividing by 9). This ancient system provides an elegant method to check calculations without redoing the entire problem, making it invaluable for both practical applications and mathematical understanding. To find the Navasesh of a number, we add all its digits and continue adding until we reach a single digit. For example, the Navasesh of 8132 is found by adding 8+1+3+2=14, then 1+4=5. This process can be streamlined by ignoring any 9s in the original number and any groups of digits that sum to 9, then reducing intermediate sums immediately. For 44629, we ignore the 9, add 4+4+6=14->1+4=5, then 5+2=7, giving Navasesh 7. This method works equally well for larger numbers; for instance, with 157,892, we can quickly find N(157,892)=5 by grouping and reducing. The verification power of Navasesh extends across all arithmetic operations. For multiplication, the Navasesh of the product should equal the Navasesh of the product of the Navaseshes of the factors. For example, with 38x53=2014: N(38)=2, N(53)=8, and 2x8=16->N(16)=7. Since N(2014)=7, the answer is verified. This principle proves particularly useful in complex calculations: consider 786x425=334,050. We can verify this by noting N(786)=3, N(425)=2, 3x2=6, and N(334,050)=6, confirming the result. In addition operations, the Navasesh of the sum equals the Navasesh of the sum of the Navaseshes. For instance, 567+328=895 can be verified because N(567)=9, N(328)=4, N(9+4)=4, and N(895)=4. This property extends to subtraction and even powers, where the Navasesh of squares follows predictable patterns. For example, numbers with Navasesh 5 always square to numbers with Navasesh 7. Beyond verification, Vedic mathematics converts division by 9 into simple addition operations. For example, to divide 8132 by 9, we place a colon before the last digit, bring down the leftmost digit (8), add it to the next digit (1+8=9), and continue this pattern rightward. Then working backward, we carry multiples of 9 leftward while leaving remainders, yielding 903 remainder 5. This technique can be applied to larger numbers with remarkable efficiency; for instance, 45,678/9 becomes a series of simple additions resulting in 5,075 remainder 3. The properties of 9 reveal themselves in unexpected ways across mathematical operations. In decimal expansions of fractions, numbers divisible by 9 produce repeating decimals with fascinating patterns. For example, 1/9=0.111111..., 2/9=0.222222..., and so on. Even in different number bases, similar patterns emerge, though they manifest around the number one less than the base (e.g., 8 in base 9, 15 in base 16), revealing a fundamental mathematical principle that transcends our decimal system. These mathematical harmonies demonstrate why ancient Vedic mathematicians regarded 9 as having special significance. The consistency of these patterns across different mathematical contexts points to deeper truths about number theory and the inherent structure of our number system, making it a powerful tool for both practical calculation and theoretical understanding.

4장

Harnessing the Power of Eleven

The number 11 possesses remarkable properties that Vedic mathematics exploits for rapid calculations, offering elegant solutions that transform complex operations into simple mental processes. This fundamental building block of Vedic mathematics reveals patterns that extend far beyond basic multiplication. Multiplying by 11 becomes almost instantaneous through a simple pattern: each digit of the result comes from adding adjacent pairs of digits from the original number. To multiply 153 by 11, we write the rightmost digit (3) directly, then add pairs (3+5=8, 5+1=6), and finally write the leftmost digit (1) directly, giving 1683. This technique handles carrying digits seamlessly when sums exceed 9, as in 157x11=1727. Additional examples demonstrate its versatility: 246x11=2706, where 6 is written directly, 4+6=10 (write 0, carry 1), 2+4+1=7, and 2 is written directly. Even larger numbers like 4829x11=53119 follow the same principle. For testing divisibility by 11, Vedic mathematics offers an elegant approach: sum all digits in odd positions, then sum all digits in even positions. If the difference between these two sums is either zero or divisible by 11, then the original number is divisible by 11. For example, with 23485, the odd-position sum is 2+4+5=11 and the even-position sum is 3+8=11. Since 11-11=0, the number is divisible by 11. This method works equally well for larger numbers: in 45678932, odd positions sum to 4+6+8+3=21, even positions sum to 5+7+9+2=23, and 23-21=2, indicating the number is not divisible by 11. This pattern extends beautifully to multiplication by 111, where we add three consecutive digits at a time. For 4132x111, we start with the rightmost digit (2), then add pairs (2+3=5), then triplets (2+3+1=6), then pairs again (3+1+4=8), and finally the leftmost digit (4), yielding 458652. The pattern continues for multiplication by 1111 and beyond, creating a cascading series of additions that produce rapid results. For instance, 2345x111=260295, following the same systematic progression. What makes these techniques particularly valuable is how they transform what would normally be multi-step calculations into simple, flowing processes that can be performed mentally. The patterns reveal an underlying mathematical harmony that conventional approaches often obscure. By recognizing these patterns, we develop a more intuitive relationship with numbers, seeing them not as abstract entities requiring mechanical manipulation, but as interconnected elements with predictable behaviors. This shift in perspective makes mathematics less about memorization and more about pattern recognition-a far more natural and enjoyable approach to calculation. These Vedic techniques also provide valuable insights into number theory and the deep relationships between numbers. For example, the divisibility rule for 11 connects to concepts in modular arithmetic, while the multiplication patterns reveal underlying structures in our base-10 number system. Students who master these methods often report increased confidence in handling larger calculations and a greater appreciation for mathematical beauty.

베다수학의 원리 요약에서 더 많은 것을 얻으세요

매일 새로운 인사이트를 10만 개 이상의 레슨에서 만나보세요
단어가 강조되어 오디오와 실시간으로 동기화됩니다
내 라이브러리를 저장하고 모든 기기에서 이용하세요

5장

Nikhilam: Multiplication Through Differences

The Nikhilam method represents one of the most powerful multiplication techniques in Vedic mathematics, particularly effective when multiplying numbers close to convenient bases like 100, 1000, or other round numbers. The approach involves subtracting both numbers from a common base, then performing calculations with these differences. When multiplying numbers close to 50 (like 42x46), we subtract both from 50 to get -8 and -4. We then multiply these differences (-8x-4=32) and add the cross-product of the original numbers with the differences (42x-4 + 46x-8 = -168 + -368 = -536). The final result is 1932. The beauty of Nikhilam lies in its flexibility with different bases. For numbers near 250, like 266x235, we use 250 as the base, subtract to get 16 and -15, multiply these differences (16x-15=-240), and scale appropriately to obtain 62510. Similarly, for numbers close to 500 (like 532x485), we subtract from 500 to get 32 and -15, multiply these differences, and follow the pattern to arrive at 258020. Secondary bases like 40, 60, or 300 can be chosen based on the numbers being multiplied. For 32x48 using base 40, we subtract to get -8 and 8, multiply to get -64, and obtain 1536. For 285x315 using base 300, we get -15 and 15, multiply to get -225, and arrive at 89775. What makes Nikhilam truly revolutionary is how it transforms multiplication into a process of working with differences-often smaller numbers that are easier to manipulate mentally. Rather than multiplying large numbers directly, we work with their deviations from convenient bases, dramatically reducing calculation complexity. This approach exemplifies the Vedic philosophy of finding the path of least resistance in calculation, revealing mathematical relationships that make seemingly complex problems elegantly simple. By choosing appropriate bases, even intimidating multiplications become manageable mental calculations, changing our entire relationship with numerical operations.

6장

Urdhva Tiryak: The Art of Cross Multiplication

The Urdhva Tiryak (vertically and crosswise) multiplication technique represents perhaps the most elegant approach in Vedic mathematics, allowing for computing products in a single line through a systematic pattern of vertical and cross multiplications between digits. For 2-digit multiplication, the process involves three parts: first multiply the rightmost digits, then cross-multiply and add the results, and finally multiply the leftmost digits. With 35x82, we calculate 5x2=10, then (3x2)+(8x5)=46, and finally 3x8=24. Starting from the right, we place 0, carry 1 to get 7, carry 4 to get 8, and finally place 2, resulting in 2870. This pattern extends naturally to 3-digit multiplication, where we compute five parts through vertical and cross multiplication. For each position, we perform cross multiplications between corresponding digits, add the products together with any carry, write down the ones digit, and carry forward the tens. The elegance of this approach lies in eliminating the need for multiple partial products used in traditional multiplication. For 4-digit multiplication, the same principle applies with seven parts. Each digit position requires adding more cross-products: the rightmost position uses just one product, while the middle positions require up to four cross-products plus any carry. This systematic approach makes even complex multiplications like 2316x4256=9073792 manageable through a series of simple calculations. When multiplying numbers with different digit counts, we simply pad the shorter number with leading zeros to create equal-length numbers, maintaining consistency in the method. What distinguishes Urdhva Tiryak is its flowing, systematic nature that eliminates the need for multiple lines of calculation. Rather than computing and adding partial products as in conventional multiplication, this technique integrates all calculations into a single, continuous process that can often be performed mentally. The method reveals the underlying mathematical harmony in multiplication, transforming it from a mechanical procedure into an elegant dance of digits that flows naturally from right to left. This approach not only speeds calculation but deepens mathematical intuition by highlighting the intricate relationships between digits in multiplication.

들리는 모든 단어를 눈으로 확인하세요

베다수학의 원리 요약의 각 단어가 오디오에 맞춰 실시간으로 강조되어 편하게 따라 읽을 수 있습니다.

7장

Division Transformed: The Flag-Based Approach

Division in Vedic mathematics undergoes a remarkable transformation through the "flag" technique, which converts traditionally tedious operations into elegant processes requiring only single-digit divisions. This approach separates the last digit(s) of the divisor as the "flag" and divides by the remaining digit(s), dramatically reducing both computation time and mental strain. For division by a two-digit number with a one-digit flag (like 87108/84), we divide by the first digit (8) and use the second digit (4) as the flag. At each step, we divide the current gross dividend by 8, multiply the quotient by the flag 4, subtract from the next gross dividend, and continue. This reduces complex division to simple one-digit operations, making 87108/84=1037 much easier to calculate. When division produces a remainder, the Vedic method handles it elegantly by bringing down zeros and continuing the process to achieve any desired level of decimal precision. For example, when dividing 26382 by 77, we follow the flag-based process until reaching the remainder 48, then continue to calculate 342.623 as the answer. Sometimes during division, we encounter negative net dividends that require adjustment. To fix this, we backtrack one step, reduce the previous quotient digit by 1, and carry forward a larger remainder. This adjustment ensures we can continue the division process with positive net dividends. For larger divisors, the flag has multiple digits. When dividing by a 3-digit number, the flag has two digits; for a 4-digit divisor, the flag has three digits. The process involves cross-multiplication between previous quotient digits and flag digits, maintaining the elegant pattern of Vedic division. What makes this approach revolutionary is how it transforms division-traditionally the most difficult arithmetic operation-into a series of simple, one-digit divisions followed by multiplications and subtractions. This eliminates the guesswork involved in traditional long division and provides a systematic, flowing process that can often be performed mentally. By breaking down complex divisions into manageable steps, the Vedic approach demystifies this operation and builds mathematical confidence through elegant simplicity.

8장

The Art of Squaring Numbers

Squaring numbers becomes remarkably efficient through specialized Vedic techniques that exploit numerical patterns. Two simple techniques handle specific cases with almost instantaneous results, while a more general approach using the concept of "dwandwa" or duplex allows for squaring numbers of any length in a single line. For numbers ending in 5, the square follows a beautiful pattern: multiply the first digit(s) by the next consecutive number, then append 25. For 352, multiply 3 by 4 to get 12, then append 25 for 1225. Similarly, 652=4225 and 1252=15625. This technique works because (10a+5)2=100a2+100a+25, which simplifies to 100a(a+1)+25. Another specialized technique handles products of two numbers that have the same first digit and last digits summing to 10. For 23x27, multiply the common first digit (2) by its next consecutive number (3) to get 6, then multiply the last digits (3x7=21) to get 621. This works for any size numbers where last digits sum to 10 and remaining digits are identical. For squaring any number, Vedic mathematics introduces the concept of duplex (D), defined differently based on digit count. For a single digit a, D(a)=a2; for two digits ab, D(ab)=2xaxb; for three digits abc, D(abc)=2xaxc+b2. This pattern continues for larger numbers by pairing digits from outside inward. To square a number, we arrange its duplex values in sequence and perform a backward pass. For a 2-digit number ab: (ab)2=D(a)/D(ab)/D(b). For example, 342=9/24/16, which resolves to 1156 after carrying digits leftward. This pattern extends to numbers of any length, making squaring remarkably efficient. What makes these squaring techniques particularly elegant is how they transform what would normally be complex multiplications into simple patterns that can often be performed mentally. By recognizing the inherent structure in squares, Vedic mathematics reveals shortcuts that dramatically reduce calculation time while building mathematical intuition. These approaches demonstrate how understanding the deeper patterns within numbers can lead to calculation methods that feel almost magical in their simplicity and speed.

베다수학의 원리 요약에서 더 많은 것을 얻으세요

매일 새로운 인사이트를 10만 개 이상의 레슨에서 만나보세요
단어가 강조되어 오디오와 실시간으로 동기화됩니다
내 라이브러리를 저장하고 모든 기기에서 이용하세요

9장

Beyond Arithmetic: Advanced Applications

Vedic mathematics extends far beyond basic arithmetic, offering elegant approaches to advanced mathematical operations including cube roots, trigonometry, and solving simultaneous equations. These applications demonstrate the depth and versatility of the Vedic system. For cubes of two-digit numbers, Vedic mathematics uses the expansion of (a+b)3, where each term can be derived from the previous by multiplying by the ratio b/a. Starting with a3, each subsequent term is calculated by multiplying by this ratio, then doubling the middle terms and adding all terms. For 123, we start with 13=1, then multiply by 2 for each term: 1,2,4,8, and after doubling the middle terms: 1+4+8+8=21, yielding 1728. In trigonometry, Vedic mathematics introduces the concept of a "triplet" (a,b,c) representing the sides of a right triangle. Using this triplet, trigonometric ratios are defined directly: sin A = 2nd value/last value, cos A = 1st value/last value, and tan A = 2nd value/1st value. This approach eliminates complex formulas and makes calculating trigonometric ratios remarkably straightforward. For example, if tan A = 4/3, we build the triplet (3,4,5) and immediately read off any ratio: cosec A = 5/4, cos A = 3/5, and so on. For solving simultaneous equations, Vedic mathematics offers an elegant method similar to Cramer's Rule but easier to remember. With coefficients arranged in a grid (a b c / p q r), x equals (br-cq)/(bq-ap) and y equals (cp-ar)/(bq-ap). This method provides direct solutions without the tedious elimination process of conventional algebra. The "Mishrank" or Vinculum notation converts digits greater than 5 to digits less than 5 by representing them as negative values with a bar notation. This makes arithmetic operations simpler and faster, particularly for addition, subtraction, multiplication, division, and computing squares and cubes. These advanced applications reveal how Vedic mathematics offers a comprehensive mathematical system that extends from basic arithmetic to complex operations. By focusing on pattern recognition and elegant shortcuts, the Vedic approach transforms even advanced mathematics into accessible, intuitive processes. This demonstrates that the power of Vedic mathematics lies not just in calculation speed but in providing a fundamentally different-and often more natural-way of understanding mathematical relationships.

10장

Transforming Mathematical Education and Practice

The practical applications of Vedic mathematics extend far beyond theoretical interest, offering powerful tools for solving real-world mathematical problems efficiently. These techniques have proven particularly valuable in competitive exams, where speed and accuracy are crucial. The book demonstrates twenty diverse mathematical problems from competitive exams, covering areas like perfect squares, percentage changes, algebraic expressions, divisibility tests, multiplication shortcuts, and geometric calculations. Solutions using Vedic techniques show dramatic reductions in calculation time and complexity. For example, multiplication problems using bases like 500 or 800, divisibility tests for 9 and 11, and mental computation of squares and square roots demonstrate how Vedic methods offer significant advantages over conventional approaches. Beyond competitive exams, Vedic mathematics has profound implications for mathematical education. Traditional mathematics education often emphasizes memorization and mechanical application of algorithms, leading many students to fear and dislike the subject. In contrast, the Vedic approach reveals the inherent patterns and relationships within numbers, fostering mathematical intuition rather than rote learning. This shift in perspective transforms mathematics from a dreaded subject into an enjoyable exploration of numerical relationships. The author's experience training thousands of children in these methods has shown how Vedic mathematics can build confidence and enjoyment in mathematics. Students who previously struggled with conventional approaches often find the Vedic techniques intuitive and accessible, leading to dramatic improvements in both speed and accuracy. Perhaps most importantly, Vedic mathematics changes our relationship with numbers. Rather than viewing calculation as a mechanical process requiring strict adherence to algorithms, the Vedic approach encourages flexibility, creativity, and pattern recognition. This develops a more natural, intuitive understanding of mathematics that extends beyond specific techniques to a deeper appreciation of mathematical harmony. As mathematical literacy becomes increasingly important in our technology-driven world, the Vedic approach offers a valuable alternative to conventional mathematics education-one that builds not just calculation skills but genuine mathematical understanding and appreciation. By revealing the elegant patterns hidden within numbers, Vedic mathematics transforms mathematics from a feared subject into a fascinating journey of discovery, accessible to anyone willing to explore its ancient wisdom.

★★★★★

베다수학의 원리 요약 완독을 축하합니다

“23일째 매일 사용하고 있어요. 이제 제 일상의 한 부분이 되었습니다.”

jayallen

베다수학의 원리 요약의 핵심 주제

mental calculation techniques
ancient mathematical sutras
arithmetic speed shortcuts
numerical pattern recognition
mathematical error verification

베다수학의 원리 요약의 명문장

Mathematics has long been feared by many.
Change not just how we calculate, but our entire relationship with numbers.
Arithmetic from a mechanical process into an intuitive art form.
The number 9 holds a special place in Vedic mathematics.
The number 11 possesses remarkable properties.

베다수학의 원리 요약의 등장인물

Atul GuptaAuthor of the book
Jagadguru Swami Sri Bharati Krshna TirthajiRediscoverer of the 16 Vedic sutras
Shakuntala DeviMathematical prodigy known as the human computer

저자 소개

The Power of Vedic Maths의 저자인 아툴 굽타(Atul Gupta)는 응용 미시경제학자이자 미국 의료 시스템 연구로 명성 높은 의료 정책 전문가입니다.

와튼 스쿨 교수이자 도린다 앤 마크 빈켈만 석좌 교수(Dorinda and Mark Winkelman Distinguished Faculty Scholar)인 굽타의 연구는 지불 제도 개혁과 조직 구조를 포함한 의료 분야의 생산성 동인을 조사합니다. American Economic Review 및 JAMA와 같은 주요 학술지에 발표된 그의 연구 결과는 정책 토론과 규제 변화에 영향을 미쳤으며, 특히 2022년 국정연설(State of the Union address)에서 인용되기도 했습니다.

The Power of Vedic Maths가 고대 수학 원리를 현대적 문제 해결에 적용하고 있다면, 굽타의 학문적 초점은 공공 재정과 산업 조직의 접점에 있으며, 이는 데이터 기반 솔루션에 대한 그의 폭넓은 헌신을 반영합니다. 그의 연구는 The New York Times 및 The Economist와 같은 주요 언론 매체에 자주 소개되며, 그는 인도 의료 시스템의 재구상을 위한 랜싯(The Lancet) 위원회의 위원으로 활동하고 있습니다.

굽타는 스탠퍼드 대학교에서 경제학 박사 학위를, 인도 경영대학원 아메다바드(IIM Ahmedabad)에서 MBA 학위를 취득했습니다.

베다수학의 원리 요약 다운로드

베다수학의 원리 요약을 무료 PDF 또는 EPUB으로 받으세요. 인쇄하거나 오프라인에서 언제든 읽을 수 있습니다.

다른 사용자들도 좋아한 책

Vedic Mathematics Made Easy

Dhaval Bathia

Street-Fighting Mathematics

Sanjoy Mahajan

Pascal's Triangle: Ancient Math Meets Modern Power 책 표지

Pascal's Triangle and the Binomial Theorem

Resources for Teach Yourself > Pascal's triangle & Binomial expansion from mathcentre

Lesson Explainer: Pascal's Triangle and the Binomial Theorem

6 sources

Pascal's Triangle: Ancient Math Meets Modern Power

A Mind for Numbers

Barbara Oakley

Atmamun

Kapil Gupta

Speed Math for Kids

Bill Handley

Division Deep Dive: From Concepts to Calculation Mastery 책 표지

Teaching Division To Your Child | Tips, Advice, Techniques

6 sources

Division Deep Dive: From Concepts to Calculation Mastery

Ancient Wisdom Meets Market Mastery 책 표지

6 sources

Ancient Wisdom Meets Market Mastery

베다수학의 원리 요약에 관한 자주 묻는 질문

더 알아보기

학습 계획

Algorithmic Math for Competitive Programming

This learning plan is essential for developers and students aiming to excel in high-level coding competitions and technical interviews. It bridges pure mathematics with computational efficiency, benefiting anyone looking to master the underlying logic of complex algorithms.

1 h 36 m•4 섹션

학습 계획

Math

This plan is essential for anyone looking to bridge the gap between basic arithmetic and high-level abstract reasoning. It is ideal for students, professionals, or lifelong learners who want to master logical problem-solving and the universal principles of mathematics.

5 h 33 m•4 섹션

학습 계획

Learn math

This comprehensive plan is designed for anyone looking to transition from basic numeracy to deep mathematical intuition. It is ideal for students or professionals who want to bridge the gap between foundational skills and advanced data analysis while exploring the philosophical nature of the subject.

4 h 55 m•4 섹션

학습 계획

Mathematics

This comprehensive path bridges the gap between basic arithmetic and the advanced theories that define our physical reality. It is ideal for students, professionals, or lifelong learners seeking to sharpen their analytical intuition and master the universal language of logic.

3 h 46 m•4 섹션

학습 계획

Outperform my math rival in speed and skill

This plan is designed for competitive students and math enthusiasts who want to bridge the gap between competence and mastery. It combines mechanical speed with psychological resilience to ensure you remain calm and accurate during high-stakes academic rivalries.

3 h 36 m•3 섹션

학습 계획

The Great Mathematical Debate

This learning plan bridges the gap between abstract philosophy and rigorous mathematics, offering deep insights into how we perceive universal truths. It is ideal for students, educators, and thinkers who want to understand whether math is discovered or invented.

1 h 12 m•3 섹션

학습 계획

Math Theorems for Beginners

Mathematical theorems are the building blocks of logical thinking and problem-solving across science, technology, engineering, and everyday decision-making. This learning plan is ideal for students beginning their mathematical journey, professionals seeking to strengthen their analytical skills, or curious learners who want to understand the elegant logic underlying mathematics and its profound impact on our understanding of reality.

3 h 58 m•4 섹션

학습 계획

The Unified Architecture of Mathematics

This learning plan is essential for students and professionals seeking to move beyond rote memorization toward a holistic understanding of mathematical structures. It is ideal for those who want to see the hidden threads connecting geometry, algebra, and physics in a single, coherent framework.

2 h•4 섹션

컬럼비아 대학교 동문들이 제작 | 샌프란시스코에서 개발

BeFreed는 호기심 넘치는 글로벌 커뮤니티를 하나로 연결합니다

4.7

평균 평점

앱 평가 7.84천 개 이상

BeFreed 커뮤니티

정말이지 아직 앱을 다 써 보지도 않았는데, 며칠 써 본 것만으로도 깊은 인상을 받았어요… BeFreed는 제가 써 본 어떤 학습 앱과도 차원이 달라요. 몰입감이 엄청나고 집중력도 실제로 좋아져서, 스마트폰을 하염없이 스크롤하는 분들께 딱이에요!

@ladyInfinity

정확히 23일 전에 BeFreed를 구입했는데, 그날부터 하루도 빠짐없이 쓰고 있어요. 제 일상 업무 흐름과 학습 습관에 완전히 자리 잡았어요.

@jayallen

솔직히 이 앱은 제 기대를 전부 뛰어넘었어요. 어떤 주제든 오디오로 만들어 달라고 할 수 있고, 결과물이 놀라워요. 제 전문 분야는 심리치료 쪽이고 여러 학문이 얽혀 있는데도 답변이 아주 정확해요.

@Raguipa

제일 고마운 건 스크롤하는 시간이 확 줄었다는 거예요. 검색하는 시간은 줄고 흡수하는 시간은 늘었어요. 오디오북 전권, 팟캐스트, 학습 플랜의 조합이 정말 훌륭해요.

@colonyofcreatorsNGO

저는 24년째 PhotoReading 속진 학습 강사로 일하고 있어요… 책과 독서, 배움이 제 전문인데, BeFreed는 정보를 소화하기 쉽게 전달하는 혁신적인 방식을 정말 잘 구현했어요.

@BeFreed user

단순한 책 요약 앱이 아니에요. '재미' 스타일을 써 봤는데, 전통적인 방식보다 훨씬 나은 요약이고 아이디어를 이해하기도 쉬워요. 이것만으로도 값어치를 해요.

@austinakon

이 앱이 정말 좋아요. 며칠 써 봤는데 듣는 걸 멈출 수가 없어요. 시작하기에 이보다 좋을 수 없어요.

@jcrules328

정말 마음에 들어요. 한 달 정도 써 봤는데 숨은 보석을 찾은 기분이에요. BeFreed로 제가 원하는 주제를 직접 만들 수 있어서 좋고, 목소리도 훌륭한 데다 내레이션 선택지가 무궁무진해요.

@DanielCZ

정말이지 아직 앱을 다 써 보지도 않았는데, 며칠 써 본 것만으로도 깊은 인상을 받았어요… BeFreed는 제가 써 본 어떤 학습 앱과도 차원이 달라요. 몰입감이 엄청나고 집중력도 실제로 좋아져서, 스마트폰을 하염없이 스크롤하는 분들께 딱이에요!

@ladyInfinity

정확히 23일 전에 BeFreed를 구입했는데, 그날부터 하루도 빠짐없이 쓰고 있어요. 제 일상 업무 흐름과 학습 습관에 완전히 자리 잡았어요.

@jayallen

솔직히 이 앱은 제 기대를 전부 뛰어넘었어요. 어떤 주제든 오디오로 만들어 달라고 할 수 있고, 결과물이 놀라워요. 제 전문 분야는 심리치료 쪽이고 여러 학문이 얽혀 있는데도 답변이 아주 정확해요.

@Raguipa

제일 고마운 건 스크롤하는 시간이 확 줄었다는 거예요. 검색하는 시간은 줄고 흡수하는 시간은 늘었어요. 오디오북 전권, 팟캐스트, 학습 플랜의 조합이 정말 훌륭해요.

@colonyofcreatorsNGO

저는 24년째 PhotoReading 속진 학습 강사로 일하고 있어요… 책과 독서, 배움이 제 전문인데, BeFreed는 정보를 소화하기 쉽게 전달하는 혁신적인 방식을 정말 잘 구현했어요.

@BeFreed user

단순한 책 요약 앱이 아니에요. '재미' 스타일을 써 봤는데, 전통적인 방식보다 훨씬 나은 요약이고 아이디어를 이해하기도 쉬워요. 이것만으로도 값어치를 해요.

@austinakon

이 앱이 정말 좋아요. 며칠 써 봤는데 듣는 걸 멈출 수가 없어요. 시작하기에 이보다 좋을 수 없어요.

@jcrules328

정말 마음에 들어요. 한 달 정도 써 봤는데 숨은 보석을 찾은 기분이에요. BeFreed로 제가 원하는 주제를 직접 만들 수 있어서 좋고, 목소리도 훌륭한 데다 내레이션 선택지가 무궁무진해요.

@DanielCZ

유용한 정보와 아이디어를 8~15분짜리 팟캐스트 스타일 오디오로 압축해서 들을 수 있다는 게 정말 좋아요. 원래 팟캐스트는 군더더기가 많아서 안 좋아했는데, 여기는 그걸 싹 걷어냈어요.

@BeFreed user

박사 과정을 마무리하는 중이라 낯선 자료를 많이 읽어야 해요… BeFreed에서는 프롬프트만 입력하면 앱이 자료를 찾아서 오디오 팟캐스트로 만들어 줘요. BeFreed의 과정이 NotebookLM보다 더 매끄럽게 느껴져요.

@Brad

아침을 준비하거나 산책하거나 출퇴근할 때 들을 것을 YouTube에서 자주 찾곤 했는데, BeFreed는 광고도 군더더기도 없이 훨씬 더 딱 맞는 걸 들려줘요!

@BeFreed user

이 플랫폼의 가장 큰 장점은 활용도예요. 다루지 못하는 주제가 말 그대로 하나도 없어요. 무엇을 던져도 다 소화해요… 제한이 전혀 없으면서 약속을 실제로 지키는 학습 도구는 정말 드물어요.

@jayallen

BeFreed는 환상적이에요. 디자인이 편해서 헤매는 시간은 줄고 배우는 시간은 늘었어요. 오디오북, 팟캐스트, 학습 플랜의 조합은 천재적이에요. 제 하루가 완전히 달라졌어요.

@BeFreed user

처음엔 이탈리아어로 팟캐스트를 만드는 방법을 이해하는 데 시간이 좀 걸렸는데, 알고 나니까 — 와! 정말 대단해요! 어떤 주제든 설명해 달라고 하면 정말 똑똑하게 잘 설명해 줘요!

@matteo77

BeFreed는 제가 매일 쓰는 오디오북 앱이 됐어요… 제일 마음에 드는 건 텍스트를 넣으면 이동 중에도 들을 수 있는 오디오로 만들어 준다는 점이에요.

@kotanzu1

유용한 정보와 아이디어를 8~15분짜리 팟캐스트 스타일 오디오로 압축해서 들을 수 있다는 게 정말 좋아요. 원래 팟캐스트는 군더더기가 많아서 안 좋아했는데, 여기는 그걸 싹 걷어냈어요.

@BeFreed user

박사 과정을 마무리하는 중이라 낯선 자료를 많이 읽어야 해요… BeFreed에서는 프롬프트만 입력하면 앱이 자료를 찾아서 오디오 팟캐스트로 만들어 줘요. BeFreed의 과정이 NotebookLM보다 더 매끄럽게 느껴져요.

@Brad

아침을 준비하거나 산책하거나 출퇴근할 때 들을 것을 YouTube에서 자주 찾곤 했는데, BeFreed는 광고도 군더더기도 없이 훨씬 더 딱 맞는 걸 들려줘요!

@BeFreed user

이 플랫폼의 가장 큰 장점은 활용도예요. 다루지 못하는 주제가 말 그대로 하나도 없어요. 무엇을 던져도 다 소화해요… 제한이 전혀 없으면서 약속을 실제로 지키는 학습 도구는 정말 드물어요.

@jayallen

BeFreed는 환상적이에요. 디자인이 편해서 헤매는 시간은 줄고 배우는 시간은 늘었어요. 오디오북, 팟캐스트, 학습 플랜의 조합은 천재적이에요. 제 하루가 완전히 달라졌어요.

@BeFreed user

처음엔 이탈리아어로 팟캐스트를 만드는 방법을 이해하는 데 시간이 좀 걸렸는데, 알고 나니까 — 와! 정말 대단해요! 어떤 주제든 설명해 달라고 하면 정말 똑똑하게 잘 설명해 줘요!

@matteo77

BeFreed는 제가 매일 쓰는 오디오북 앱이 됐어요… 제일 마음에 드는 건 텍스트를 넣으면 이동 중에도 들을 수 있는 오디오로 만들어 준다는 점이에요.

@kotanzu1

웹에서 BeFreed가 어떻게 논의되고 있는지 더 보기

지금 바로 학습 여정을 시작하세요

2장

베다수학의 원리 요약

베다수학의 원리 요약 개요

다양한 학습 방식으로 베다수학의 원리 요약 살펴보기

Unlocking Mathematical Brilliance Through Ancient Wisdom

The Elegant Simplicity of Foundational Techniques

들리는 모든 단어를 눈으로 확인하세요

The Mystical Properties of Nine

Harnessing the Power of Eleven

베다수학의 원리 요약에서 더 많은 것을 얻으세요

Nikhilam: Multiplication Through Differences

Urdhva Tiryak: The Art of Cross Multiplication

들리는 모든 단어를 눈으로 확인하세요

Division Transformed: The Flag-Based Approach

The Art of Squaring Numbers

베다수학의 원리 요약에서 더 많은 것을 얻으세요

Beyond Arithmetic: Advanced Applications

Transforming Mathematical Education and Practice

베다수학의 원리 요약 완독을 축하합니다

베다수학의 원리 요약의 핵심 주제

베다수학의 원리 요약의 명문장

베다수학의 원리 요약의 등장인물

저자 소개

베다수학의 원리 요약 다운로드

다른 사용자들도 좋아한 책

베다수학의 원리 요약에 관한 자주 묻는 질문

What is The Power of Vedic Maths by Atul Gupta about?

Who should read The Power of Vedic Maths?

Is The Power of Vedic Maths worth reading?

What Vedic Maths techniques does the book teach?

더 알아보기

BeFreed는 호기심 넘치는 글로벌 커뮤니티를 하나로 연결합니다

다양한 학습 방식으로 베다수학의 원리 요약 살펴보기

Unlocking Mathematical Brilliance Through Ancient Wisdom

The Elegant Simplicity of Foundational Techniques

들리는 모든 단어를 눈으로 확인하세요

The Mystical Properties of Nine

Harnessing the Power of Eleven

베다수학의 원리 요약에서 더 많은 것을 얻으세요

Nikhilam: Multiplication Through Differences

Urdhva Tiryak: The Art of Cross Multiplication

들리는 모든 단어를 눈으로 확인하세요

Division Transformed: The Flag-Based Approach

The Art of Squaring Numbers

베다수학의 원리 요약에서 더 많은 것을 얻으세요

Beyond Arithmetic: Advanced Applications

Transforming Mathematical Education and Practice

베다수학의 원리 요약 완독을 축하합니다

다른 사용자들도 좋아한 책

더 알아보기