Sunday, June 10, 2012

Essence of mathematics is not to make simple things complicated, but to make complicated things simple

Get pleasure from the Mathematics
Mathematics is the study of measure, configuration, space, and change. Mathematicians seek out patterns and formulate new conjecture. Through the use of concept and logical reasoning, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and movement of physical objects. Mathematics is not like a game whose tasks are determined by subjectively fixed rules.
Mathematics is used throughout the world as an essential tool in many fields including science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries, which has led to the development of entirely new mathematical disciplines, such as statistics.The word "mathematics" comes from the Greek language, which is known as “what one learns, what one gets to know”.

Pure mathematics
  • Quantity - Measure

The study of quantity starts with numbers (natural numbers and integers and arithmetical operations on them).
Natural
0, 1, 2, 3, 4, ... or 1, 2, 3, 4, ...
Integers
..., −5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5, ...
Positive integers
1, 2, 3, 4, 5, ...
Rational
ab where a and b are integers and b is not zero
Real
The limit of a convergent sequence of rational numbers
Complex
a + bi where a and b are real numbers and i is the square root of −1
·         Natural Numbers are counting numbers
·         A rational number is a number that can be expressed as a fraction with an integer numerator and a non-zero natural number denominator. 
      Real numbers includes decimal points.



  •     Structure

      Many mathematical objects, such as sets of numbers and functions, exhibit internal structure as a consequence of operations or relations that are defined on the set.
  •     Space

     The study of space creates with geometry – in particular, Euclidean geometry. Trigonometry is the branch of mathematics.
·         Analytic geometry, Differential geometry, Algebraic geometry - Quantity and Space  
·         Convex geometry, discrete geometry  - Solve problems in number theory and Functional Analysis 
·         Differential geometry - Vector and Tensor Calculus. 



  •      Change

      Many problems lead naturally to relationships between a quantity and its rate of change, and these are studied as differential equations.

     Why do people learn Maths?
      We study Maths because it teaches us how to think in various situations. It provides us with a method of solving a whole host of life’s problems away from the classroom. Math is radical! 
     
     The following are some of the conditions where people struggle in the life as the knowledge of Maths is poor.
·         Deciding where is best to go for your holidays
·         How big a finance you can afford, which new car should you buy and what type of vehicle financing is available?
·         Should you take that new job?

     These problems may not become visible to have anything to do with the Maths you study at school. But they do. To come up with solutions for the above problems these require planning, logical thinking, experimentation, evaluating and testing to make sure that the decision you have reached is the best one. These skills are needed and developed when studying Maths. The essence of mathematics is not to make simple things complicated, but to make complicated things simple. 

       Let’s Enjoy the Sounds of Maths!!!! Try this now ….
      
     “If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. “

      Question:  A tower casting a shadow across the ground, and given some information about the length of the shadow and the angle of the sun, you have to work out the height of the tower. Sounds like fun, hey?

     Mathematics as a human endeavor!

      Answer:  Simply can get through Trigonometry. So you will be drawing right-angled triangle. Next you must decide what formula you need to use and what calculations you need to do. This requires skills like multiplying, dividing, re-arranging formulae, calculator skills, and rounding.

      IMPORTANT: When you have taken the answer, you must check it b thinking whether is this makes sense by putting it back into the context of the question. Is this height correct if not why? So you may have made a mistake, so you have go back and look through your working to solve it.
     
     You have take pleasure in the life bit in learning Maths. Get up! Think deeply! Maths is Funny! Make the Easiest subject as Maths.
     
      Practicing doing Maths trains you up to be an expert problem solver, and if you can solve life’s many problems, then you will be doing alright. Mathematics have its own importance in the field of development and growth of human being and its surroundings.

    How to Enjoy Learning Maths ?
    To make Maths as an interest subject same as other subjects the below ways will help yourself enjoy learning maths.
    1.      Know what math really is. 
         Math isn’t about memorizing formulas. It’s about problem-solving, deducing truth, and exploring the concepts of change, quantity and structure.

    2.      Learn to apply math.
         As I said before, Math is all about problem-solving and tries to make use of it! This is what makes math a creative subject as well as a logical. Classes generally teach students the formulas and few examples of how they can be applied.
    
     * But to make Maths more interesting started with a real-world problem that requires math and worked backwards, finding the formulas that you would need. I made Maths interesting like this. So you all too try this.

   3.      Relate math to other subjects.
       Math relates to art, business, science, IT etc. If you’re interested in any of these, please try to use Maths to solve the problems same way you apply.

    4.      Surround yourself with Math fanatic. 
         When you sit with friends in a Maths class you rarely talk to each other about math. But when you are in other classes the teacher too can’t stop your chat isn’t it?
     I personally love Maths Companion !! I started Maths from Grade 1 but I made Maths interesting from Grade 7/8. You will have a question why is that? It’s because of the teachers taught Maths to me were weird. In Grade 9 when I get the Maths marks I was so worried and I thought how to make good grades in future. Afterwards my mother started teaching Maths by making it more interesting and she asked to make the same sum 7, 8 times. And also I brainstormed Maths lessons every day. After doing my O/L I got “A” Pass for Maths when I go to net to see the results I saw that have a “A” pass. But I couldn’t belive for that. Why is that? Because in the earlier day I was weak in Maths but today I am proud of myself about Maths. And I express my gratitude to my mother who taught Maths to me.  Math was my favorite subject at school and university! 

3 comments:

  1. Did you enjoy reading the post about Maths? How was it?? Leave your ideas here ... :) Like 2

    ReplyDelete
  2. Personally, i did not like maths myself, but i guess now i found a solution, with these simple techniques, math could really get u goin........fantastic work, i really benefited out of this for today, tomorrow and forever
    thnx

    ReplyDelete
  3. Thanks for getting an idea about the important gift called Maths.. I know that u re doing this subject as u need 2 do @ school but this is needed in ur life most of the time so pls dr make the Maths as ur favorite subject with interest and start climbing the steps to win the flag in ur O/L by getting "A" for the subject Maths and say me u ve achieved this tarrget with the help of my writing

    ReplyDelete