doc-20231122-wa0000-231218085230-aaf31a5e.pptx

BRIEFING ABOUT CONTRIBUTIONS OF SWAMI TO SCIENCE AND ESP. VEDIC MATHEMATICS

1. Puri Shankaracharya Nischalananda Saraswati’s Vedic mathematics is claimed to have significantly contributed to the recent lunar mission by India — Chandrayaan-2.It has been learnt that ISRO scientists consulted Swami Nischalananda Saraswati Puri Shankaracharya of Govardhana Matha before the July launch of Chandrayaan-2. This was done to dispel some of the doubts that the scientists had at the time. According to Shankaracharya, there is an important connection of water and Earth to Moon in Vishnu Puran and Shrimad Bhagwat Geeta . And as per the Bhishma Parva or the Book of Bhishma , the sixth of eighteen books of the Indian epic Mahabharata, the diameter of the Moon is 11,000 Yojana (1 Yojana = approximately 12.2 km) and its circumference is 33,000 yojana while its thickness is 59 Yojana .

Renowned the world over for being an acclaimed Vedic Mathematician, Shankaracharya Nischalananda Saraswati’s advise was, therefore, considered extremely important.

According to reports, Nischalananda Saraswati is not just a spiritual guru but an expert Vedic mathematician as well. Being the 145 th Shankaracharya, he is following on the footsteps of his great predecessor, the 143 rd Shankaracharya Bharat Krishna Tirtha , who was renowned all over the world as a pioneer in the ancient Vedic mathematics. BRIEFING ABOUT CONTRIBUTIONS OF SWAMI TO SCIENCE AND ESP. VEDIC MATHEMATICS

2. Puri Shankaracharya Nischalananda Saraswati’s has contributed to the lunar mission by India — Chandrayaan-2. His Vedic Mathematics has given many concepts that helped the Indian Space Research Organization (ISRO) Scientists to accomplish this mission. Puri Shankaracharya Nischalananda Saraswati was been invited to the Satish Dhawan Space Centre at Sriharikota . With his valuable knowledge of Vedic Mathematics, scientists were able to launch the Chandrayaan-2. ISRO scientists used calculations and theorems mentioned in Vedic treatises like Bhagwad Gita and Puranas to achieve success in the mission as India. https://g.co/kgs/McMXfU https://govardhanpeeth.org/

3. 3. Construct the system of linear equation from the following figure and solve it completely. SOLUTION:

4. Q3) REFRENCES: 1)”Traffic Flow Theory: Characteristics, Experimental Methods, and Numerical Techniques” by A. K. Gupta 2)https://applicationanthologys16.wordpress.com/2016/04/21/linear-algebra-and-traffic-flow/ Q4 REFRENCES 1) A Textbook of Engineering Mathematics Bali Iyengar Chap: Matrices -191 2)https://quizlet.com/explanations/questions/show-the-following-2-bd225c2c-5bad-4d64-a2aa-728dd574a88a 3)H. K. Dass Chap Determinant and Matrices

5. Q4. Illustrate with example the rank A = rank B does not imply rank A² =rank B² SOLUTION : Let us consider two 2×2 matrices as A and B A= , B= Here since no of non-zero rows in both matrices is 1- (B)=1 Therefore, (B)  

6. Q5) Give the uses of Linear partial differential equations. Partial differential equation is a differential equation containg derivaties of the dependent variable with one independent variable and describe how a quantity changes as a function of one or more independent variables. Applications :- 1. Algebric Geometry: PDE methods are applied in algebraic geometry, particularly in the study of algebraic varieties and their properties. 2. Numerical Analysis: PDE are central to numerical methods for solving mathematical problems.Finite difference, finite element,and spectral methods are widely used for approximating solutions to PDEs. 3. Physics: -physical phenomena: To descibre physical phenomena such as heat conduction,wave propagation,fluid dynamics and electromagnetism. -Motion of Objects: Described by kinematic equations that involve derivatives with respect to time.

7. 4. Computer Science: In computer graphics it is used for tasks like image smoothing ,texture synthesis and surface modeling 5. Engineering: - Electrical Circuits: Described by differential equations that relate . voltage, current, and resistance.
- Control Systems: Describe the dynamics of systems and are used in designing control systems for various applications. 6. Chemistry: - Chemical Reaction Kinetics: Describes how the concentrations of reactants and products change over time.
- Diffusion and Heat Conduction: Described by partial differential equations in the context of mass and heat transfer.

8. 7. Mechanics: - Structural Analysis: Describes the deformation and stress distribution in structures. . - Fluid Dynamics: Describes the motion of fluids, such as the Navier -Stokes equations. 8. Telecommunications: - Signal Processing: Describes the behavior of signals I n communication systems.
- Circuit Design: Involves differential equations for analyzing and designing electronic circuits. 9. Economics: - Economic Growth Models: Describe how a country’s economic output changes over time.
- Epidemiology: Models the spread of diseases in populations, like the SIR (Susceptible-Infectious-Recovered

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