Mathematics branches out in the following order: arithmetic, algebra, geometry, trigonometry, calculus, and statistics/probability.
If you want a detailed answer, read below
Mathematics is a vast field that branches out into many different subcategories. The order in which mathematics branches out is as follows:

Arithmetic: Arithmetic is the branch of mathematics that deals with the study of numbers and their properties. It includes operations such as addition, subtraction, multiplication, and division.

Algebra: Algebra is the branch of mathematics that deals with the study of mathematical symbols and the rules for manipulating these symbols. It includes topics such as equations, matrices, and polynomials.

Geometry: Geometry is the branch of mathematics that deals with the study of shapes, sizes, and positions of objects in space. It includes topics such as lines, angles, shapes, and threedimensional objects.

Trigonometry: Trigonometry is the branch of mathematics that deals with the study of triangles and the relationships between their sides and angles. It includes topics such as sine, cosine, and tangent functions.

Calculus: Calculus is the branch of mathematics that deals with the study of rates of change and accumulation. It includes topics such as derivatives, integrals, and limits.

Statistics/Probability: Statistics and probability are branches of mathematics that deal with the study of data and the chances of events occurring. They include topics such as probability distributions, hypothesis testing, and regression analysis.
As Albert Einstein once said, “Pure mathematics is, in its way, the poetry of logical ideas”. Mathematics has played an important role in human history and has numerous interesting facts associated with it. Here are a few examples:
 The earliest evidence of humans using math dates back to over 35,000 years ago, with tally marks being found on animal bones.
 The word “mathematics” comes from the Greek word mathema, which means “learning” or “study”.
 The famous Fibonacci sequence, where each number is the sum of the two preceding numbers, can be found in nature in the arrangement of leaves on a stem and the spirals of a pinecone.
 The concept of negative numbers was not widely accepted until the 17th century.
 The ancient Greeks believed that perfect shapes existed only in the realm of ideas and the physical world was just an imperfect copy of these shapes.
 The number zero was invented independently by both the Maya civilization and the Indian mathematician Brahmagupta.
 The concept of infinity was first introduced by the Greek philosopher Zeno of Elea in the 5th century BCE.
Table:
Branch of Mathematics  Definition 

Arithmetic  The study of numbers and their properties 
Algebra  The study of mathematical symbols and the rules for manipulating these symbols 
Geometry  The study of shapes, sizes, and positions of objects in space 
Trigonometry  The study of triangles and the relationships between their sides and angles 
Calculus  The study of rates of change and accumulation 
Statistics/Probability  The study of data and the chances of events occurring 
Answer in the video
The Map of Mathematics video explains the interconnectedness of different areas of mathematics and how they are applied to solve problems in other fields. It also discusses the foundations of mathematics and how it does not have a complete and consistent set of axioms.
Other methods of responding to your inquiry
The main branches of mathematics are algebra, number theory, geometry and arithmetic. Based on these branches, other branches have been discovered. Before the advent of the modern age, the study of mathematics was very limited.
Mathematics can be broadly grouped into the following branches:
 Arithmetic: It is the oldest and the most elementary among other branches of mathematics.
 Algebra: It is a kind of arithmetic where we use unknown quantities along with numbers.
 Geometry: It is the most practical branch of mathematics that deals with shapes and sizes of figures and their properties.
See Mathematics Subject Classification [ http://www.ams.org/publications/mathreviews/historicalclassifications ] for one list of branches of mathematics. The major divisions are listed below. Each one has many subdivisions. The detailed subdivisions are available at MSC2010 database [ http://www.ams.org/msc/msc2010.html ]. There are thousands of topics.
There is no particular order that works since each branch of mathematics is used in the other branches. For example, you might think that number theory is a basic branch and so should appear early in the list, but number theory uses advanced topics from complex analysis and topology, so perhaps it should appear later. But complex analysis and topology use concepts from earlier number theory, so that’s not so clear.
General/foundations
00: General (Includes topics such as recreational mathematics, philosophy of mathematics and mathematical modeling.)
01: History and biography
03: Mathematical logic and foundations, including model …
More intriguing questions on the topic
In this way, What is the correct order of math subjects?
The typical order of math courses followed by most students in high school is:
 Algebra 1.
 Geometry.
 Algebra 2.
 Trigonometry.
 PreCalculus.
 Calculus.
 Advanced Placement Classes.
What are the 8 branches of mathematics?
Among the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and nonEuclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry.
What is the order of math problem?
To help students in the United States remember this order of operations, teachers drill the acronym PEMDAS into them: parentheses, exponents, multiplication, division, addition, subtraction. Other teachers use an equivalent acronym, BODMAS: brackets, orders, division and multiplication, and addition and subtraction.
Also asked, What are the 5 foundation of mathematics?
Different Branches of Mathematics. Shakuntala Devi rightly said that without mathematics, there is nothing you can do. To explore more, let’s first know the 5 main branches of mathematics, i.e. Algebra, Number Theory, Arithmetic and Geometry.
What are the main branches of mathematics? Answer to this: Among the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and nonEuclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry.
What can you do without mathematics? As an answer to this: Shakuntala Devi rightly said that without mathematics, there is nothing you can do. To explore more, let’s first know the 5 main branches of mathematics, i.e. Algebra, Number Theory, Arithmetic and Geometry.
Correspondingly, Which branch of mathematics deals with rate of change in different quantities?
Analysis: It is the branch that deals with the study of the rate of change in different quantities. Calculus forms the base of analysis. To learn more about the branches of mathematics, download BYJU’S – The Learning App.
Thereof, What is mathematics based on?
The reply will be: Mathematics is the theoretical science of quantity, number, and space, either as abstract concepts (pure mathematics) or as applied to other disciplines (applied mathematics). It is the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects.
Also, What are the main branches of mathematics?
Among the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and nonEuclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry.
Then, What are the different types of mathematics? Answer to this: These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline .
In respect to this, Which branch of mathematics deals with rate of change in different quantities?
Analysis: It is the branch that deals with the study of the rate of change in different quantities. Calculus forms the base of analysis. To learn more about the branches of mathematics, download BYJU’S – The Learning App.
Also question is, Why is arithmetic an important branch of mathematics?
As a response to this: Addition, subtraction, multiplication, and division form the basis of it because they are used to solve a large number of questions and advance in more complex concepts. Arithmetic is one of the most important branches because its principles are used in everyday life for a variety of reasons.