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Mathematics in Industry Landscape
Syahrul Bahar Hamdani
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Mathematics and Logic Competitions 2021
© 2021 Syahrul Hamdani
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Mathematics in Industry Landscape


bg left Hi, I'm Dani 👋🏻

  • Sains Komputasi ITB (2017 - 2019)
  • Matematika Universitas Airlangga (2012 - 2016)

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Experiences

  • Data Science Lead Instructor & Engineer at Bitlabs (Jul 2021 - present)
  • Data Science Engineer at Kurio (Jul 2019 - Jun 2021)
  • Data Scientist at Bareksa (Des 2018 - Apr 2019)

Agenda

  • Historical Timeline of Mathematics
  • Areas of Mathematics
  • Mathematics and Life Sciences
  • Applied Mathematics in Industry
  • The Benefits of Mathematics
  • Some Fun Facts about Math
  • How I Apply Math at Work

DISCLAIMER


Mathematics Historical Timeline

<iframe src="https://mathigon.org/timeline" title="Mathematics Timeline" style="border: none;" width="1000" height="500"> </iframe>

Areas of Mathematics


Traditionally speaking

Adapted from wikipedia...


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Pure Mathematics

Mathematics studied for its intrinsic interest

  • Mathematical foundations - proof theory, set theory, etc.
  • Analysis - functions, limits, derivatives, integrals, etc.
  • Algebra - field theory, groups, rings, etc.
  • Geometry
  • Topology
  • Combinatorics
  • Number theory

Applied Mathematics

Mathematical studies that can be directly applied to real-world problems

  • Probability and statistics - statistics, random variables, events, and other mathematical theory of random phenomena
  • Computational sciences - numerical analysis, algebraic computation, etc.
  • Mathematical physics - classical & quantum mechanics, mechanics of structures, fluid mechanics, etc.
  • Operation research (OR) - mathematical modeling, mathematical optimization, statistical analysis, mathematical programming, etc.

From arxiv:

  • Algebraic geometry
  • Algebraic topology
  • Combinatorics
  • Differential geometry
  • Group theory
  • Numerical analysis
  • Quantum algebra
  • Representation theory
  • Statistics theory
  • etc.

From Society for Industrial and Applied Mathematics (SIAM):

  • Algebraic geometry
  • Applied and computational algorithms
  • Computational science and engineering
  • Life sciences
  • Linear algebra
  • Data Science
  • Optimization
  • Supercomputing
  • etc.

Where does mathematics take place?

It's a mystery for some people.

Hence, to demistify this, let's first take a look from academia perspective.


In Life Sciences


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Who's this?


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Who's this? Sir Isaac Newton


Laws of Motion


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How about mathematics in industry?


"Mau kerja jadi apa nanti lulusan matematika? Di bank?" overheard in every mathematics major in Indonesia


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"Mau kerja jadi apa nanti lulusan matematika? Di bank?" overheard in every mathematics major in Indonesia


Applied Mathematics in Industry


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Recommendation System


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Recommendation System

One of the technique is called collaborative filtering and it uses Singular Value Decomposition.


Gmail's smart compose (reference).


In natural language processing (NLP), language model is a chain of probability of what word come next after some words (reference).


How Math Helps (Me)


Thank You

Any questions?