Number Puzzles Questions and Answers
By using your numerical and logical reasoning skills please try to figure out which number is missing in the questions below. The numbers around will give you the clues you need to solve the puzzle.
Tuesday 31 January 2017
Maths in daily life
10 Ways We Use Math Everyday
Math is a part of our lives, whether we clean the house, make supper or mow the lawn. Wherever you go, whatever you do, you are using math daily without even realizing it. It just comes naturally.
Chatting on the cell phone
Chatting on the cell phone is the way of communicating for most people nowadays. It's easy, accessible and cost effective. Every one has a cell phone and it requires a basic knowledge of skill and math. You need to know numbers and how they work, and with today's technology you can do basically everything on your cell phone, from talking and faxing to surfing the Internet.
In the kitchen
Baking and cooking requires some mathematical skill as well. Every ingredient has to be measured and sometimes you need to multiply or divide to get the exact amount you need. Whatever you do in the kitchen requires math. Even just using the stove is basic math skills in action.
Gardening
Even doing something as mundane as gardening requires a basic math skill. If you need to plant or sow new seeds or seedlings you need to make a row or count them out or even make holes. So even without thinking you are doing math. Measuring skills is always needed, and calculations of the essence when doing something new in the garden.
Arts
When doing any form of art you are using math. Whether you're a sculptor, a painter, a dancer or even just doing a collage for fun, you will need to be able to measure, count and apply basic math to it. Every form of art is co-dependant upon math skills.
Keeping a diary
Keeping a diary has become an essential part of our daily lives. We run from place to place and appointment to appointment. Making appointments and having a time schedule that works for you requires math. Without a diary we will crash and burn. Some people even have to make appointments to take some time out. Math is a much needed skill in today's life.
Planning an outing
Every outing you plan needs your math skill. Whether you go to the beach or the zoo is irrelevant. You will plan your way there and you will use your time wisely, math is your guide that will assist you and help you. When driving you need fuel, oil and water, without it your car will break down. All of these require math.
Banking
Can you imagine going to the bank and not having any idea what you need to do or how to manage your finances. This will cause a huge disaster in your life, and you will be bankrupt within hours.
Planning dinner parties
How about that inevitable dinner party or cocktail that you have to host. Planning is essential, how many guests are attending, what foods are you serving, the ambience of the place where you want to host it and so many other essentials all requiring multiplication, division and subtraction.
Decorating your home
Whether you are painting, doing the flooring or just acquiring new furniture, you need math to make your sums add up. Everything you do inside or outside of your home needs math skills. From accessories to a new swimming pool and putting in new lighting.
Statistics
Every basic thing we use in life consist of history. That means statistics. Taking into account the past and the future, and keeping record of what has been done. Without statistics we won't know what worked and what didn't. It helps us to find balance and structure.
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Pythagorean theorem
A:
QUICK ANSWER
The Pythagorean Theorem can be used in any real life scenario that involves a right triangle having two sides with known lengths. In a scenario where a certain section of a wall needs to be painted, the Pythagorean Theorem can be used to calculate the length of the ladder needed if the height of the wall and the distance of the base of the ladder from the wall are known.
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FULL ANSWER
The Pythagorean Theorem can be usefully applied because the relationship between the lengths of the sides in any right triangle is consistent. For example, in a baseball field, if the distance between each base is known, then the shortest distance to throw the ball from first base to third base can be calculated using the Pythagorean Theorem. When purchasing a television, the size advertised refers to the length of the diagonal of the television. If an old TV was being sold, the lengths of two of its sides can be used to calculate the length of the diagonal and thereby determine the size of the TV. Computer monitor sizes are determined the same way. Suitcase sizes are given in terms of the diagonal and the height, using which the length of the suitcase can be calculated using the Pythagorean Theorem.
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Wednesday 25 January 2017
aryabhata
What is the contribution of Aryabhatt in modern mathematics?
2 Answers
Aryabhatta was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy.
He is the author of several treatises on mathematics and astronomy, some of which are lost. His main works are Aryabhatiya and Arya-siddhanta.
Aryabhatiya was particularly popular in South India, where numerous mathematicians over the ensuing millennium wrote commentaries. The work was written in verse couplets and deals with mathematics and astronomy.
Arya-siddhanta circulated mainly in the northwest of India and, through Iran, had a profound influence on the development of Islamic astronomy.It is one of the earliest astronomical works to assign the start of each day to midnight.
His contribution to mathematics:
Place value system and zero:
The place-value system, first seen in the 3rd-century Bakhshali Manuscript, was clearly in place in his work. While he did not use a symbol for zero, the French mathematician Georges Ifrah argues that knowledge of zero was implicit in Aryabhata's place-value system as a place holder for the powers of ten with null coefficients.
Value of pi :
He also worked on the approximation for pi , and may have come to the conclusion that pi is irrational. In the second part of the Aryabhatiyam (gaṇitapāda 10), he writes:
Trigonometry :
He gave the area of a triangle as:
tribhujasya phalashariram samadalakoti bhujardhasamvargah
that translates to: "for a triangle, the result of a perpendicular with the half-side is the area."
He also discussed the concept of sine in his work by the name of ardha-jya, which literally means "half-chord".
Algebra :
In Aryabhatiya, he provided elegant results for the summation of series of squares and cubes:
and
He is the author of several treatises on mathematics and astronomy, some of which are lost. His main works are Aryabhatiya and Arya-siddhanta.
Aryabhatiya was particularly popular in South India, where numerous mathematicians over the ensuing millennium wrote commentaries. The work was written in verse couplets and deals with mathematics and astronomy.
Arya-siddhanta circulated mainly in the northwest of India and, through Iran, had a profound influence on the development of Islamic astronomy.It is one of the earliest astronomical works to assign the start of each day to midnight.
His contribution to mathematics:
Place value system and zero:
The place-value system, first seen in the 3rd-century Bakhshali Manuscript, was clearly in place in his work. While he did not use a symbol for zero, the French mathematician Georges Ifrah argues that knowledge of zero was implicit in Aryabhata's place-value system as a place holder for the powers of ten with null coefficients.
Value of pi :
He also worked on the approximation for pi , and may have come to the conclusion that pi is irrational. In the second part of the Aryabhatiyam (gaṇitapāda 10), he writes:
caturadhikam śatamaṣṭaguṇam dvāṣaṣṭistathā sahasrāṇāmThis implies that the ratio of the circumference to the diameter is ((4 + 100) × 8 + 62000)/20000 = 62832/20000 = 3.1416, which is accurate to five significant figures.
ayutadvayaviṣkambhasyāsanno vṛttapariṇāhaḥ.
"Add four to 100, multiply by eight, and then add 62,000. By this rule the circumference of a circle with a diameter of 20,000 can be approached."
Trigonometry :
He gave the area of a triangle as:
tribhujasya phalashariram samadalakoti bhujardhasamvargah
that translates to: "for a triangle, the result of a perpendicular with the half-side is the area."
He also discussed the concept of sine in his work by the name of ardha-jya, which literally means "half-chord".
Algebra :
In Aryabhatiya, he provided elegant results for the summation of series of squares and cubes:
mathemeticians list
ist of Indian mathematicians
From Wikipedia, the free encyclopedia
 | This article needs attention from an expert in India. (June 2010) |
The chronology of Indian mathematicians spans from the Indus Valley Civilization and the Vedas to Modern India.
Indian mathematicians have made a number of contributions to mathematics that have significantly influenced scientists and mathematicians in the modern era. These include place-value arithmetical notations, the use of the ruler, the concept of zero, and, most importantly, the Arabic-Hindu numerals predominantly used today and likely into the future.
Contents
[hide]Ancient[edit]
- Baudhayana (fl. c. 800 BCE)
- Katyayana (fl. c. 300 BCE)
- Pingala (possibly c. 500 BCE)
Classical[edit]
Post-Vedic Sanskrit to Pala period mathematicians (5th century BCE to 11th century CE)
- Aryabhata (476–550 CE)
- Varahamihira (505–587 CE)
- Yativṛṣabha – 6th-century mathematician and writer of the book Tiloyapannatti which gives various units for measuring distances and time and postulated different concepts about infinity.
- Brahmagupta (598–670 CE) – Helped bring the concept of zero into arithmetic
- Bhaskara I (600–680 CE)
- Shridhara (between 650–850) – Gave a rule for finding the volume of a sphere
- Mahavira (9th century CE)
- Pavuluri Mallana – (11th century CE)
- Hemachandra (1087–1172 CE)
- Bhaskara II (1114–1185 CE)
Medieval to Mughal period (1200–1800)[edit]
- Narayana Pandit
- Madhava of Sangamagrama
- Parameshvara, (1360–1455), discovered drk-ganita, a mode of astronomy based on observations
- Nilakantha Somayaji, (1444–1545), Mathematician and Astronomer
- Raghunatha Siromani, (1475–1550), Logician
- Mahendra Suri (14th century)
- Shankara Variyar (c. 1530)
- Jyeshtadeva, (1500–1610), Author of Yuktibhāṣā
- Achyuta Pisharati, (1550–1621), Mathematician and Astronomer
- Munishvara (17th century)
- Kamalakara (1657)
- Jagannatha Samrat (1730)
Born in 1800s[edit]
- Radhanath Sikdar (1813–1870)
- Ramchandra (1821–1880)
- Pathani Samanta (1835–1904)
- Ashutosh Mukherjee (1864–1924)
- Ganesh Prasad (1876–1935)
- Swami Bharati Krishna Tirtha (1884–1960)
- Srinivasa Ramanujan (1887–1920)
- A. A. Krishnaswami Ayyangar (1892–1953)
- Prasanta Chandra Mahalanobis (1893–1972)
Born in 1900s[edit]
- Subbayya Sivasankaranarayana Pillai (1901–1950)
- Raj Chandra Bose (1901–1987)
- Tirukkannapuram Vijayaraghavan (1902–1955)
- Dattaraya Ramchandra Kaprekar (1905–1986)
- Samarendra Nath Roy (1906–1964)
- suchitra gagil
- Damodar Dharmananda Kosambi (1907–1966)
- Sarvadaman Chowla (1907–1995)
- Lakkoju Sanjeevaraya Sharma (1907–1998)
- Subrahmanyan Chandrasekhar (1910–1995)
- S. S. Shrikhande (born 1917)
- Anil Kumar Gain (1919–1978)
- Calyampudi Radhakrishna Rao (born 1920)
- Harish-Chandra (1923-1983)
- P. K. Srinivasan (1924–2005)
- Shreeram Shankar Abhyankar (1930–2012)
- M. S. Narasimhan (born 1932)
- C. S. Seshadri (born 1932)
- K. S. S. Nambooripad (born 1935)
- Ramaiyengar Sridharan (born 1935)
- Vinod Johri (1935–2014)
- Ramdas L. Bhirud (1937-1997)
- S. Ramanan (born 1937)
- Pranab K. Sen (born 1937)
- C. P. Ramanujam (1938–1974)
- V. N. Bhat (1938–2009)
- S. R. Srinivasa Varadhan (born 1940)
- M. S. Raghunathan (born 1941)
- Vashishtha Narayan Singh (born 1942)
- S. B. Rao (born 1943)
- Gopal Prasad (born 1945)
- Vijay Kumar Patodi (1945–1976)
- S. G. Dani (born 1947)
- Raman Parimala (born 1948)
- Navin M. Singhi (born 1949)
- Sujatha Ramdorai
- R. Balasubramanian (born 1951)
- M. Ram Murty (born 1953)
- Rattan Chand (born 1955)
- Narendra Karmarkar (born 1957)
- Dinesh Thakur (mathematician) (born 1961)
- Manindra Agrawal (born 1966)
- Madhu Sudan (born 1966)
- Chandrashekhar Khare (born 1968)
- U. S. R. Murty
- L. Mahadevan
- Kapil Hari Paranjape
- Vijay Vazirani (born 1957)
- Umesh Vazirani
- Mahan Mj (born 1968)
- Santosh Vempala (born 1971)
- Kannan Soundararajan (born 1973)
- Kiran Kedlaya (born 1974)
- Ritabrata Munshi (born 1976)
- Amit Garg (born 1978)
- Subhash Khot(born 1978)
References[edit]
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