Sunday 8 December 2013


Mathematical symbols

These are the main mathematical symbols used. It is very useful in many mathematical operations and proofs. It can be used to explain many things simply.

Math symbols are shorthand marks that represent mathematical concepts.




SymbolName
+addition sign, plus sign
-subtraction sign, minus sign
x or ⋅multiplication sign
÷ or /division sign
=equal
not equal
<less than
>greater than
less than or equal to
greater than or equal to
#number sign
( )parentheses
&and (ampersand)
%percent
πpi
|x|absolute value of x
square root
!factorial
±plus or minus
ˆcaret - to the power of


angle
°degree
perpendicular
||parallel
is similar to (tilde)
union
intersection
null or empty set
is a member of
is not a member of
is a subset of
there exists (existential quantifier)
for all (universal quantifier)
f(x)a function whose variable is x
therefore
Σsum
...ellipsis (and so on)
infinity

Mathematics


Branch of science deals with numbers(quantity), calculations, space, change, structure etc.Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof.When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from countingcalculationmeasurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.


Galileo Galilei (1564–1642) said, "The universe cannot be read until we have learned the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word. Without these, one is wandering about in a dark labyrinth."

Carl Friedrich Gauss (1777–1855) referred to mathematics as "the Queen of the Sciences". 
Benjamin Pierce (1809–1880) called mathematics "the science that draws necessary conclusions". 

David Hilbert said of mathematics: "We are not speaking here of arbitrariness in any sense. Mathematics is not like a game whose tasks are determined by arbitrarily stipulated rules. Rather, it is a conceptual system possessing internal necessity that can only be so and by no means otherwise."

Albert Einstein (1879–1955) stated that "as far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."

French mathematician Claire Voisin states "There is creative drive in mathematics, it's all about movement trying to express itself."

Father of Mathematics

Archimedes is considered to be the father of mathematics, who was basically an ancient Greek mathematicians as well as a philosopher. He made a huge number of discoveries in the fields of physics and engineering. He also very well known as the greatest scientist in classical antiquity. Some of his mathematical proofs absorb the use of infinitesimals in a method that is alike to contemporary integral calculus. By assuming a proposition to be factual and also presenting that this would show the way to a disagreement, he was able to give away answers to problems to a random amount of accurateness, while specifying the confines inside which the answer lay. This mode operand is known as the method of exhaustion. The most well-known illustration of his use of infinitesimals was a calculation of the value of Ï€ (Pi). This was achieved by portraying a bigger polygon outer of a circle and a smaller polygon within the circle. When the polygons had 96 sides each, he was intelligent to work out the lengths of their sides and show that the value of Ï€ lay amid 3 + 1/7 (approximately 3.1429) and 3 + 10/71 (approximately 3.1408). Another well-known mathematical work by Archimedes is The Sand Reckoner. 

Unfortunately some of the people believe Thales as the father of mathematics. and some others would name some others. even most relevant is archemedi