As a senior grad student, junior researcher and an introspective individual, I always face the question of how math ought to be studied. Among the many successful researchers whom I've had the pleasure of making acquaintance, only a very small portion had research works that would actually contribute to real-life problems. When the question of "why math" resurfaces I'd think well it is something I enjoy doing, and working out every single problem makes me feel accomplished, and I think I'm good at it. Do you think merely "enjoying something" and that "maybe it'll find its applications one day" are good enough justifications for a life-long math career even if we never see an immediate by-product of our efforts in real life problems?
2026-03-26 09:44:52.1774518292
Research in Math
323 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?
Related Questions in RESEARCH
- Online resources for networking and creating new mathematical collaborations
- What to do about the third derivative of a twice differentiable function?
- Is there active research on topological groups?
- Model parameters unknown
- Where does the Jordan canonical form show up in more advanced mathematics?
- Visualization vs memorization of mathematical knowledge
- Math Research Opportunities for a Senior in High School
- Equilibrium proof question in research paper.
- Closed form expression for a Gamma-like integral involving a powered Appell hypergeometric function
- Have seen long proofs in articles some with $15$+ lemmas for a single theorem. How does a writer keep track of and manage so many lemmas?
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?
Actually, this is frequently the way it has gone. Some theory/system will be constructed which is interesting but has no actual applications. Then years/centuries down the line someone comes across it and says "hrm- this would actually be a really good way to model/solve this problem I'm looking at".
That being said with how quickly information is being discovered/communicated these days, the wait is frequently shorter. I absolutely believe that anyone going into mathematics with the intent of only producing results that are practical and useful can have a very fulfilling and meaningful career.