Many universities claim that there are three general areas in mathematics: analysis, which deals with continuous aspects of mathematics; algebra, which deals with discrete aspects; and geometry.
If you were to chose the fourth, what would it be?
2026-03-27 23:32:06.1774654326
The fourth pillar of mathematics? (analysis, algebra, geometry and ...)
1.5k Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in SOFT-QUESTION
- Reciprocal-totient function, in term of the totient function?
- Ordinals and cardinals in ETCS set axiomatic
- Does approximation usually exclude equality?
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Online resources for networking and creating new mathematical collaborations
- Random variables in integrals, how to analyze?
- Could anyone give an **example** that a problem that can be solved by creating a new group?
- How do you prevent being lead astray when you're working on a problem that takes months/years?
- Is it impossible to grasp Multivariable Calculus with poor prerequisite from Single variable calculus?
- A definite integral of a rational function: How can this be transformed from trivial to obvious by a change in viewpoint?
Related Questions in EDUCATION
- Good ideas for communicating the joy of mathematics to nine and ten year olds
- Is method of exhaustion the same as numerical integration?
- How do you prevent being lead astray when you're working on a problem that takes months/years?
- Is there a formula containing index of π (exclude index 1)
- How deep do you have to go before you can contribute to the research frontier
- What are the mathematical topics most essential for an applied mathematician?
- i'm 15 and I really want to start learning calculus, I know geometry, a little trig, and algebra 1 and 2 what is the best way to go about this?
- How to self teach math? (when you have other academic commitments)
- The Ideal First Year Undergraduate Curriculum for a Mathematics Autodidact
- How to solve 1^n=1 for n=0?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Wikipedia lists four ideas on which pure mathematics focuses:
Quantity
Structure
Space
Change
The second, third, and fourth categories seem to match your labels of algebra, geometry, and analysis, respectively. The first could probably be labeled number theory, but Wikipedia also lists number theory as studying structure (so perhaps "quantity" shouldn't really be a separate category?). If the quantity category were to be kept, it could correspond to arithmetic. However, it seems demeaning to analysis/geometry/algebra to elevate arithmetic to a "pillar of mathematics".
Since this is quite a subjective question, the words of whoever wrote that section of the article are not fact. Neither are my opinions particularly supported by ethos.