The document serves as a comprehensive guide to the various branches of mathematics, emphasizing their importance in daily life and technological advancements. It covers branches like arithmetic, geometry, trigonometry, calculus, and applied mathematics, explaining their definitions and real-world applications. The guide highlights the necessity for students to understand these branches to enhance their mathematical skills and its relevance in different fields.

1. The
Comprehensive
Guide on
Branches of
Mathematics
Presented By: Stat Analytica
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2. Overview
Mathematics is crucial for our daily life. We can’t imagine a well-
organized world without the use of mathematics. In recent times
there was a limited study of mathematics. But over the last few
years, mathematics has developed with diverse branches.
Mathematics branches are kept developing to make considerable
contributions to the technology field. Therefore there are plenty of
mathematical branches that exist in the real world. Nowadays,
mathematics starts from the basic to the advanced level that is
helping in the latest computer technology. Thus it becomes crucial
for the students to clear their doubts between the different
branches of mathematics.
Stat Analytica
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3. Branches of
Mathematics
Pure Math
Applied Math
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4. Pure mathematics
It is the basic study of mathematical
concepts. We use it to study many
concepts outside mathematics. It
originated to solve real-world problems.
The real obtained for the pure math
calculation is used for practical
applications.
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5. Arithmetic
Arithmetic is the most ancient branch of
mathematics. It is used to deal with the numbers
i.e., 0 to 9, even odd, prime, or anything. It
contains the basic operation to add, subtract,
multiply, and divide. Arithmetic is used by
everyone, from students to working
professionals. Besides, we use it to perform the
basic calculations in our daily life. It is the
foundation of pure mathematics.
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6. Pure mathematics
It is the basic study of mathematical
concepts. We use it to study many
concepts outside mathematics. It
originated to solve real-world problems.
The real obtained for the pure math
calculation is used for practical
applications.
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7. Geometry
Geometry is one of the high and practical
branches of mathematics. In other words, we can
easily have a reasonable understanding of
geometry from the real world. It deals with the
shapes and sizes of figures and their properties.
Geometry involves points, lines, angles, surfaces,
solids, and shapes. Every industry is using
geometry to fulfill their daily requirements. The
Industrial manufacturing industry depends on
geometry. Even when you walk on the road, you
also use geometry to find your ways of using GPS.
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8. Trigonometry
Trigonometry deals with the higher class of
mathematics. It is derived from two Greek words
i.e., trignon (meaning a triangle) and metron
(meaning a measure). We use it study
relationships between angles and sides of
triangles. In other words, it is directly connected
with geometry. Besides, when the world was
looking for a solution that couldn’t be solved by
the use of arithmetic, algebra, and geometry,
then trigonometry came into existence.
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9. Calculus
Calculus was developed by Issac Newton and
Gottfried Leibniz in the 17th century. It is used to
deal with the instantaneous rates of change
calculations. We also use it for the summation of
small factors to determine the whole number. It is
used for limits, functions, derivatives, integrals,
and infinite series. There are two types of
calculus i.e., differential calculus and integral
calculus. Calculus is used in science, economics,
and engineering.
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10. Analysis
The basic branch of analysis is calculus. We use it
to deal with the study of the rate of change in
different quantities. Apart from that, it is used to
study the functions and limits. We use the
analysis for the use of infinite processes that is
the passage to a limit. It is used to solve the
measuring lengths, areas, volume, and other
quantities.
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11. Number theory
We use it to deal with the number of positive
integers property and relationships. It is one of
the crucial branches of pure math. It is used to
study the integers and integer-valued functions.
Apart from that, we also use it to study the
natural, whole numbers, and prime
numbers.Logic
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12. Logic
It is used as the foundation of underlying
mathematical logic. We use it to formalize valid
reasoning.
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13. Combinatorics
It is used to study discrete objects. In this, we use
to count the object to meet the specific criteria.
We also construct and analyze objects to meet
the specific criteria. In this, we find the smallest,
largest, and optimal objects. We also test to find
the algebraic structure of these objects.
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14. Topology
Topology is extensive in geometry. It is used to
find out those properties of the shapes that can’t
be changed even if the figure dimension is
changed completely.
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15. Topology
Topology is extensive in geometry. It is used to
find out those properties of the shapes that can’t
be changed even if the figure dimension is
changed completely.
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16. Applied
Mathematics
The term applied mathematics is also
known as advanced math. It involves
numerical computations in computer
science. It is used to express mathematical
problems. Nowadays, it is used in some of
the most excellent technologies, such as
modeling and simulation. For example,
we use it to test the train engine
prototypes. Most of the computer testing
software is based on applied math.
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17. Dynamical systems
and differential
equations
When we want to study the unknown functions and their
derivatives, then we use the differential equation. On
the other hand, the dynamic system has a fixed rule. We
use it to describe the clock pendulum swinging, the
water flow in a pipe, and any other thing which is
dynamic in nature.
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18. Mathematical
physics
Mathematics is widely used in the field of physics.
Mathematical physics is evolved to solve
problems in physics. Nowadays, it is widely used
in some of the applications which are based on
physical theories. Besides, integration,
differentiation, integrals, and derivatives are
widely used in physics.
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19. Mathematical
physics
Mathematics is widely used in the field of physics.
Mathematical physics is evolved to solve
problems in physics. Nowadays, it is widely used
in some of the applications which are based on
physical theories. Besides, integration,
differentiation, integrals, and derivatives are
widely used in physics.
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20. Computation
Mathematics is widely used in computer science.
This branch of mathematics is known as
computation. It involves the study of algorithms,
data structure, and scientific computing.science
and engineering. Apart from that, it involves the
methods i.e., used to solve computer science
problems with the help of mathematics.
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21. Information theory
and signal processing
Information theory is another crucial branch of applied
mathematics. It is used for the quantification of
information. It is used to find the best ways to send
reliable data efficiently. On the other hand, signal
processing is popular to analyze, interpret, and signal
manipulations. It is used for many kinds of signals, such
as biological signals, radar signals, and many others.
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22. Probability and
statistics
Probability and statistics are interrelated with each
other. Both of these are important part of applied math.
Probability is used to study uncertain events and
knowledge. Whenever we are going to have the
conclusion for the unknown data, then we use
probability. Probability is used in the field of
predictions. On the other hand, statistics is the science.
We use it to collecting the data, analyzing the data on
the basis of some given criteria.
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23. Conclusion
Imagine a positive outcome and it's likelyMore branch will
definitely add in mathematics. But here in this blog, we have
mentioned the crucial one that can be used by the beginners as
well as from the professional one. Math is everywhere; you can
implement it anytime. So what are you waiting for? Start
applying these basic mathematics branches and start getting a
good command over them. to go that way
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24. Contact us
Website
https://statanalytica.com
Mail
info@statanalytica.com
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