Did you know that...28 facts to enrich ur brain.....

1. π=3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 ...
2. A sphere has two sides. However, there are one-sided surfaces.
3. There are shapes of constant width other than the circle. One can even drill square holes.
4. There are just five regular polyhedra
5. In a group of 23 people, at least two have the same birthday with the probability greater than 1/2
6. Everything you can do with a ruler and a compass you can do with the compass alone
7. Among all shapes with the same perimeter a circle has the largest area.
8. There are curves that fill a plane without holes
9. Much as with people, there are irrational, perfect, complex numbers
10. As in philosophy, there are transcendental numbers
11. As in the art, there are imaginary and surreal numbers
12. A straight line has dimension 1, a plane - 2. Fractals have mostly fractional dimension
13. You are wrong if you think Mathematics is not fun
14. Mathematics studies neighborhoods, groups and free groups, rings, ideals, holes, poles andremovable poles, trees, growth ...
15. Mathematics also studies models, shapes, curves, cardinals, similarity, consistency, completeness,space ...
16. Among objects of mathematical study are heredity, continuity, jumps, infinity, infinitesimals,paradoxes...
17. Last but not the least, Mathematics studies stability, projections and values, values are oftenabsolute but may also be extreme, local or global.
18. Trigonometry aside, Mathematics comprises fields like Game Theory, Braids Theory, Knot Theoryand more
19. One is morally obligated not to do anything impossible
20. Some numbers are square, yet others are triangular
21. The next sentence is true but you must not believe it
22. The previous sentence was false
23. 12+3-4+5+67+8+9=100 and there exists at least one other representation of 100 with 9 digits in the right order and math operations in between
24. One can cut a pie into 8 pieces with three movements
25. Program=Algorithms+Data Structures
26. There is something the dead eat but if the living eat it, they die.
27. A clock never showing right time might be preferable to the one showing right time twice a day
28. Among all shapes with the same area circle has the shortest perimeter

How to succeed in maths.......

Step 1: Hard work trumps natural talent.

As in most everything, the people who are most successful in math are the ones who work the hardest--not those with "natural talent."   In school, those who work hard get better grades in math than the "smart'' students who just coast.  Most aspects of mathematics can only be learned by hard practice.  This holds true whether you want to develop your problem solving abilities or your computational skills.  No one thinks they can run a marathon by using only their natural talent, but there are lots of people with no talent for running who have worked hard and have successfully completed many marathons.

Step 2: Keep an open mind.

In math almost everything you learn is useful, even if you can't see it right away.  All the formulas, theorems, ideas, proofs, and problems you study in high school and college are connected to lots of real world applications, even if you don't see them now.    And more importantly, even if you think you'll never use the specific things you are studying, they help develop your mind and make it easier for you to solve other problems later--the problems you really care about.   It's like boxing: training programs for boxers often involve lots of jumping rope.  A boxer might complain "When am I ever going to use this? I am never going to jump rope in a match."   But jumping rope makes them better boxers, even though the boxers never actually jump rope while fighting.   The math you are learning is much more useful than jumping rope; but even if you never use it in your daily life yet, it makes you smarter.  That is the most important reason to study it.

Step 3: Find the reasons--don't just memorize.

Mathematics is not just a long list of random formulas that someone invented out of nowhere.  Math works because it is true--there is a reason for every step, every rule, and every part of every formula.  Don't just memorize the formulas and the rules.  Find out where they came from, why they work, and what they mean.  It may sound like more work to do this, but if you try it, you will quickly find that understanding the reasons and the meaning actually makes everything easier.

Step 4: Never give up.

Math is hard.  Anyone who says otherwise is lying.  But you can do it anyway.  If you want to be good at anything, you have to stick with it, even when you feel like quitting.  You gain the most when you finally figure out a problem after a long struggle.  That's how you get smarter.  But you'll get nowhere if you give up whenever a problem is confusing or when you can't solve it right away.

Athletes know that working, fighting, against something that is hard makes you stronger.  The same goes for your brain--getting the right answer quickly won't make you smarter, but fighting with a hard problem for a long time will.

Step 5: Learn to read the textbook.

Math books are not like other books--they pack a lot of information into a small space.  One page might take you an hour to really understand well.  That is not because the books are poorly written--it is because it takes time to absorb the information, and you have to think carefully about every line.  You even have to think a lot about the pictures.

Most people who try to read math books get frustrated and give up--they expect the math book to be as easy to read as their favorite novel.  But if you slow down and really think about what is happening in each step, you will find that your book is like a personal tutor.  Most books have lots of examples and explain things in several different ways.  Most of them are written by someone who has been teaching for a long time and knows how to help you with the confusing parts.  Once you get the hang of reading them, they can make learning math a lot easier.

The one thing a book can't do is answer questions.  The great secret is read the book before you go to class.  Then you can ask the teacher about all the things that didn't make sense in the book.  Most people only try to read the book after class, when they didn't understand some part of what the teacher was saying.  But then if you have a question, you're stuck--you can't ask your questions because the teacher is gone.

Step 6: Talk to your teacher.

Professors and teachers want to help you.  Get to know them.  Go to them for help--they love to talk to students who want to learn.   Go to them to get help finding the right classes, to get help with homework (even for a class they are not teaching), and just to discuss life.  They can help you with your math, and they can help you avoid the mistakes they made when they were students.

Step 7: Look for the beauty.

Math is extremely useful, but it is also beautiful.  It connects lots of different ideas into one.  It explains important things that cannot be understood in any other way.  When you finally get it, it is exciting to see how things fit together, why things work, how it all makes sense.   Enjoy the experience of opening your mind.

facts about 2013.......

1. 2013 is composed of four different digits, and is the first such year since 1987.

2. 2013 is composed of four sequential digits, although obviously not in order. The last such year was nearly 600 years ago, back in 1432. But the next such year is only 18 years away.

3. 2013, 2014, and 2015 are consecutive years each of which is the product of three distinct primes (3 x 11 x 61, 2 x 19 x 53, and 5 x 13 x 31, respectively). The last such three-year sequence was back in 1885-1887, and the next one isn’t until 2665-2667.

4. As was 2012, 2013 is one of only 45 multi-digit numbers that, when spelled out in English, are alliterative (i.e., “two thousand thirteen”)

computational biologist

A computational biologist applies the techniques of computer science, applied mathematics and statistics to address biological problems. His/her main focus lies on developing mathematical modeling and computational simulation techniques. By these means it addresses scientific research topics without a laboratory.

Low-end Salary: 

 $45,000/yr

Median Salary: 

 $83,000/yr

High-end Salary: 

 $150,000/yr

EDUCATION: 

Until recently, there were no formal educational opportunities in computational biology at the graduate level. Therefore, most of the current practitioners and authorities in the field have a combination of degrees at the graduate (master's or doctorate) and undergraduate levels in mathematics, computer science, and biology.

MATH REQUIRED: 

College Algebra Trigonometry Calculus I and II Linear Algebra Numerical Analysis and Differential Equations Probability and Statistics

WHEN MATH IS USED: 

Computational biologists use math as they apply algorithms and statistical techniques to the interpretation, classification and understanding of biological data. These typically consist of large numbers of DNA, RNA, or protein sequences. They also are concerned with building computational models of biological systems and mathematically modeling the behavior or molecules.

POTENTIAL EMPLOYERS: 

Highly qualified individuals are in demand at academic, private, and government research institutes alike.

FACTS: 

The International Society for Computational Biology (ISCB) is an organization for computational biologists and it serves over 2500 members from nearly 70 countries around the world.

Mathematical biophysicists.......

Have biology but don't want to leave maths then this job is for you.........

Low-end Salary: 

 $34,392/yr Mathematical biophysicists develop theories and methods of the physical sciences for the investigation of biological systems.

Median Salary: 

 $93,270/yr

High-end Salary: 

 $113,068/yr

EDUCATION: 

A Ph.D. degree usually is required for independent research, but a master’s degree is sufficient for some jobs in applied research or product development.

MATH REQUIRED: 

College Algebra Trigonometry Calculus I and II Linear Algebra

WHEN MATH IS USED: 

Mathematical biophysicists use math as they apply models and experimental techniques to larger systems such as tissues, organs, populations, and ecosystems. Scientists in this field conduct research concerned with understanding the interactions between the various systems of a cell, including the interactions between DNA, RNA and protein biosynthesis.

POTENTIAL EMPLOYERS: 

About 39 percent of all biological scientists were employed by Federal, State, and local governments. Federal biological scientists work mainly for the U.S. Departments of Agriculture, Interior, and Defense and for the National Institutes of Health. Most of the rest work in scientific research and testing laboratories, the pharmaceutical and medicine manufacturing industry, or colleges and universities.

                                                                         -source internet.

Mӧbius band.....

A Mӧbius band    (also called Mӧbius strip) is a one-sided surface that can be obtained by gluing two ends of a half-twisted long rectangular strip. They look cool in M.C. Escher’s drawings and in real life:

Mӧbius bands were independently discovered by German mathematician Johann Listing and German scholar August Ferdinand Mӧbius in the 1850s. Some interesting things about these shapes are as follows:

• If you draw a line down the middle of the strip, you will eventually reach the starting point after drawing on what appears to be both sides of the strip – proving that there really is only one side.
• By tracing one’s finger along the edge of a Mobius band, every possible point on the edge of the object will be touched – proving that the surface has only one edge.
• It is impossible to cut a Mobius band in half. If you cut a Mobius band along the centerline, you will end up with one long strip with two full twists, rather than two separate strips.
• The B.F. Goodrich Company utilized Mӧbius-like shapes to design conveyor belts. Because the “wear and tear” was distributed throughout the entire shape, these belts lasted twice as long as conventional belts.
• Mobius bands have been in the design of electronic resistors, compact resonators and superconductors for complex electrotechnology applications.

After years of searching for examples in natural materials, U.S. Department of Energy scientists have recently discovered Möbius-like shapes occurring in metamaterials – that is, materials engineered from artificial “atoms” and “molecules”. This is big news for scientists who want to create structures with shapes that aren’t naturally occurring in materials or molecules, and up to this point were limited to only mathematical imagination.

aint it cool?????????

Red-Black Card Trick.

Here's a pretty easy card trick that you can do that can also be pretty surprising. Here's how the trick you do will appear to others:

Take a deck of cards, and give it to a spectator and ask her to shuffle the deck and return it to you face down. You take the cards, and (with a little showmanship but without looking at the fronts of the cards) separate them into two piles, and then say "I've made two piles so that the number of red cards in the first pile is the number of black cards in the second pile."

Have your spectator turn over the cards and verify!

Presentation Suggestions:
Your spectator can shuffle the cards as many times as she likes--- it won't matter! When she gives the cards to you, all you are really doing (though don't make it obvious) is counting the cards into two piles so that there are 26 cards in each pile.

The Math Behind the Fact:
The reason this trick works is simple... if the number of red cards in the first and second piles is R and S, and the number of black cards in the first and second piles is A and B, then we know that R+S=26 (since the total number of red cards is 26) and S+B=26 (since the total number of cards in the second pile is 26). These two equations can be subtracted from one another to show that R-B=0, or R=B.

e (mathematical constant).

Ever think how the value of e comes out ,even after using many times in your daily maths routine.If you have and already know it, this post is not meant for you (plz check other posts),if not checkout this!!!!!!!!
e is a constant which is the limit of (1+(1/n))to the power n i.e.,the more you put value of n the more you get closer to its precise value......

or, in pure maths.,

The Kruskal Count....

Martin Kruskal, a Princeton physicist, discovered a strange mathematical property that appears to apply to all written text. Follow the steps listed below to discover this weird phenomenon.
Consider Steve Jobs’ famous commencement speech to Stanford University students in 2005:
Step 1: Select any word from any of the first ten words and count the number of letters in that word.
Step 2: Count that many words forward through the passage to land on a new word. (For example, if you chose “limited” in Step 1, count forward 7 words to “else’s”)
Step 3: Count the number of letters in the new word and move forward that many words.
Step 4: Repeat Steps 1 through 3 until there are not enough words to complete the last word count.
Step 5: Write down the last word on which you land.
No matter which word you use to start the steps, you will always land on the same word (In this case “to”). Weird, huh?

*verified by most of the text but still possibilities of exception 'may' be there.......not easy to find.......

Mathematical careers............

Mathematician is considered the Best Job of All Jobs.
Mathematicians median annual income was pegged at $94,160(around 48 lakh rupees.) and that is too much even in countries like america!!!!!!!
The top 3 jobs on the list were:

1. Mathematician
2. Actuary
3. Statistician

"The top 15 highest-earning college degrees all have one thing in common -- math skills. That's according to a recent survey from the National Association of Colleges and Employers, which tracks college graduates' job offers."

"Math is at the crux of who gets paid," said Ed Koc, director of research at NACE. "If you have those skills, you are an extremely valuable asset. We don't generate enough people like that in this country."

KEEP IN TOUCH FOR MORE CAREER OPTIONS IN MATHEMATICS........

want to be a statistician....

Statistics is the scientific application of mathematical principles to the collection, analysis, and presentation of numerical data. Statisticians apply their mathematical and statistical knowledge to the design of surveys and experiments; the collection, processing, and analysis of data; and the interpretation of the experiment and survey results. Opinion polls, statements of accuracy on scales and other measuring devices, and information about average earnings in an occupation are all usually the work of statisticians.

Low-end Salary: 

 $39,840/yr

Median Salary: 

 $73,880/yr

High-end Salary: 

 $199,710/yr

EDUCATION: 

A master’s degree in statistics or mathematics is the minimum educational requirement, but research and academic jobs generally require a Ph.D.; Federal Government jobs require at least a bachelor’s degree.

MATH REQUIRED: 

College Algebra Trigonometry Calculus I, II, III Linear Algebra Ordinary Differential Equations Theory of Analysis Mathematical Models

WHEN MATH IS USED: 

Statistics is the scientific application of mathematical principles to the collection, analysis, and presentation of numerical data. Statisticians apply their mathematical and statistical knowledge to the design of surveys and experiments; the collection, processing, and analysis of data; and the interpretation of the experiment and survey results.

POTENTIAL EMPLOYERS: 

About 20 percent of jobs are in the Federal Government, where statisticians are concentrated in the Departments of Commerce, Agriculture, and Health and Human Services. Another 10 percent are found in State and local governments, including State colleges and universities. Most of the remaining jobs are in private industry, especially in scientific research and development services, insurance carriers, and pharmaceutical and medicine manufacturing.

FACTS: 

Statisticians are hired by professional sports teams to analyze teams and players and to determine the probability a particular play be executed successfully. Statistician was named as the number three best job in The Best and Worst Jobs in the United States in 2009.

                                                                                                      -source internet

*all details are according to US.

want to be an actuary...

An actuary is a business professional who deals with the financial impact of risk and uncertainty. Actuaries apply mathematical and statistical theories to solve real business problems. Actuaries assemble and analyze data to estimate the probability and likely cost of an event such as death, sickness, injury, disability, or loss of property. They also address financial questions; including those involving the way a company should invest its resources to maximize its return on investments. "Actuaries are in high demand, and they are highly paid for the services they render."

Low-end Salary: 

 $53,100/yr

Median Salary: 

 $87,650/yr

High-end Salary: 

 $160,000/yr

EDUCATION: 

Actuaries need a strong foundation in mathematics, statistics, and general business. They generally have a bachelor’s degree and are required to pass a series of exams in order to become a certified actuary.

MATH REQUIRED: 

College Algebra Trigonometry Calculus I and II Linear Algebra Probability and Mathematical Statistics Applied statistics Actuarial Mathematics Optional courses in numerical analysis, some training in operations research, substantial training in computer science

WHEN MATH IS USED: 

Actuaries assemble and analyze data to estimate the probability and likely cost of an event such as death, sickness, injury, disability, or loss of property. Using their broad knowledge of statistics, finance, and business, actuaries help design insurance policies, pension plans, and other financial strategies in a manner which will help ensure that the plans are maintained on a sound financial basis.

POTENTIAL EMPLOYERS: 

Actuaries are essential to the insurance industry; to other businesses and corporations, including sponsors of pension plans; and togovernment agencies, such as the Government Actuary’s Department in the UK or the Social Security Administration in the US.

FACTS: 

In 2009, a Wall Street Journal survey on the best jobs in the United States listed an actuary as the second best job. In 2006, U.S. News & World Report included actuaries among the 25 Best Professions that it expects will be in great demand in the future.

                                                                                                                    -source internet

*all details are according to US.

want to be a mathematician....

Mathematics is one of the oldest and most fundamental sciences. Mathematicians do research in fields such as logic, set theory, abstract algebra, number theory, geometry, topology, dynamical systems, combinatorics, game theory, probability, and statistics. Although math has numerous applications, mathematicians also find math interesting in its own right.

Low-end Salary: 

 $55,680/yr

Median Salary: 

 $101,040/yr

High-end Salary: 

 $152,140/yr

EDUCATION: 

A Ph.D. in mathematics is usually needed to work as a mathematician, although there are some opportunities for those with a master’s degree. There are also more job opportunities for those who have experience in a related field, such as computer science or engineering.

MATH REQUIRED: 

College Algebra Trigonometry Calculus I, II, III Linear Algebra Ordinary Differential Equations Real Analysis Abstract Algebra Theory of Analysis Complex Analysis This is a very basic list; most mathematicians will study all the math they can and will study additional topics depending on their interests.

WHEN MATH IS USED: 

Mathematicians use mathematical theory, computational techniques, algorithms, and the latest computer technology to solve economic, scientific, engineering, and business problems. There are two broad classes of mathematicians: those who work in theoretical mathematics and those who work in applied mathematics (although there's a lot of overlap).

POTENTIAL EMPLOYERS: 

Many mathematicians work for the Federal Government, with about 80 percent of those working for the U.S. Department of Defense. Other positions within the Federal Government include working for the National Institute of Standards and Technology (NIST) or the National Aeronautics and Space Administration (NASA). Other employers include technical consulting services and insurance carriers. Many mathematicians are employed as university faculty and divide their time between teaching and research.

FACTS: 

The British mathematician Alan Turing is credited with helping to end World War II. Without Turing’s help cracking the Enigma code, British and American intelligence would not have been able to capture the German secrets that they did. Churchill even admitted that without Turing’s contributions, the war would have dragged on for much longer.

                                                                                                                            -source internet

*all details are according to US.

maths in everyday life....

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.

maths behind google...

 The name of the popular search engine ‘Google’ came from a misspelling of the word ‘googol’, which is a very large number (the number one followed by one hundred zeros to be exact).

truely defined...

word math.

From number 0 to 1000, the letter ‘A’ only appears in 1000 (One thousand).

the dice fact....

The opposite sides of a dice always add up to 7.