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                     Mathematics
Algebra, Calculus and Analysis,Combinatorics
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What is Mathematics?
    mathematics. The study of numbers, 
equations, functions, and geometric shapes 
(see geometry) and their relationships. 
Some branches of mathematics are 
characterized by use of strict proofs based 
on axioms. Some of its major subdivisions 
are arithmetic, algebra, Arithmetic helps 
tallying. It helps estimating. It helps 
copmaring things.Addition, subtraction , 
increase and divisions are the essential 
tasks of the arithmetic, through which we 
can characterize and create a lot more 
activities siuiting our commonsense Next
circumstance.geometry, and calculus.
Types of Mathematics
Algebra.
Calculus and analysis.
Geometry and topology.
Combinatorics.
Logic.
Number theory.
Dynamical systems and differential 
equations.
Mathematical physics
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Algebra Mathematics
Algebra: Algebra is a division of 
mathematics designed to help solve certain 
types of problems quicker and easier. 
Algebra is based on the concept of 
unknown values called variables, unlike 
arithmetic which is based entirely on known 
number values. 
     For example, 2(3 + 8) is a numeric 
expression. Algebraic expressions include 
at least one variable and at least one 
operation (addition, subtraction, 
multiplication, division). For example, 2(x + 
8y) is an algebraic expression. Next
Calculus and analysis
Calculus and analysis : Numerical 
investigation is the part of science 
managing limits and related speculations, 
for example, separation, joining, measure, 
vast arrangement, and logical capacities. 
These speculations are typically 
contemplated with regards to genuine and 
complex numbers and capacities
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Geometry and Topology 
Mathematics
Geometry : Geometry is a branch of 
mathematics concerned with questions of 
shape, size, relative position of figures, and 
the properties of space. A mathematician 
who works in the field of geometry is called 
a geometer.
Topology : Topology is the mathematical 
study of the properties that are preserved 
through deformations, twistings, and 
stretchings of objects.A circle is 
topologically equivalent to an ellipse (into 
which it can be deformed by stretching) 
and a sphere is equivalent to an ellipsoid. Next
Mathematics Help Online
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Combinatorics Mathematics
Combinatorics  Mathematics: 
Combinatorics is the branch of 
mathematics studying the enumeration, 
combination, and permutation of sets of 
elements and the mathematical relations 
that characterize their properties. 
Mathematicians sometimes use the term 
"combinatorics" to refer to a larger subset 
of discrete mathematics that includes 
graph theory.
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Number Theory Mathematics
Number theory: Number theory, branch 
of mathematics concerned with properties 
of the positive integers. Sometimes called 
“higher arithmetic,” it is among the oldest 
and most natural of mathematical pursuits. 
These categories reflect the methods used 
to address problems concerning the 
integers.
For example, 268 = 100 ⋅ 2 + 10 ⋅ 6 + 1 ⋅ 8 
268 = 100
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Dynamical Systems and 
Differential Equations
Dynamical Systems: dynamical system is a system 
in which a function describes the time dependence 
of a point in a geometrical space. Examples include 
the mathematical models that describe the swinging 
of a clock pendulum, the flow of water in a pipe, and 
the number of fish each springtime in a lake.
Differential equations : A differential condition is a 
scientific condition that relates some capacity with 
its subsidiaries. In applications, the capacities for the 
most part speak to physical amounts, the 
subordinates speak to their rates of progress, and 
the differential condition characterizes a connection 
between the two.
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Mathematical Physics
    Scientific material science alludes to the 
improvement of numerical techniques for 
application to issues in material science. 
The Journal of Mathematical Physics 
characterizes the field as "the utilization of 
arithmetic to issues in material science and 
the improvement of numerical techniques 
reasonable for such applications and for the 
definition of physical theories". It is a part 
of connected science, however manages 
physical issues.
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