Struggling with Advanced Math Notations? Here's How to Overcome It!

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SUMMARY

The discussion focuses on overcoming challenges associated with advanced mathematical notations, particularly the Greek alphabet and various symbols. Participants recommend the book "Foundations of Higher Mathematics" by Fletcher and Patty as a valuable resource for understanding logical statements, proofs, sets, and functions. It is emphasized that familiarity with common Greek letters such as \phi, \psi, \alpha, \beta, and \theta will develop over time. Additionally, critical reading and practice are essential for mastering mathematical notation, which functions as a written language distinct from natural languages.

PREREQUISITES
  • Understanding of basic mathematical concepts
  • Familiarity with logical statements and proofs
  • Knowledge of set theory and functions
  • Basic reading skills in mathematical contexts
NEXT STEPS
  • Read "Foundations of Higher Mathematics" by Fletcher and Patty
  • Practice identifying and using Greek letters in mathematical contexts
  • Explore resources on logical reasoning and proof techniques
  • Engage in exercises that require critical reading of mathematical texts
USEFUL FOR

Students transitioning from basic mathematics to advanced topics, educators teaching higher-level math, and anyone seeking to improve their understanding of mathematical notation and symbols.

yuska
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I’m about to learn advances of mathematics. However, notations, symbols, such as Greek, etc, makes me MORE difficult to learn it. Does anyone here know the way to solve this problem and get easier?
 
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Yeah, start easy :smile:
I agree that the switch of notation is the biggest obstruction. You will probably find a book like "Foundations of higher mathematics" by Fletcher and Patty quite useful. It's an introduction to things like logical statements, ways to prove something, sets, functions and all the other basic things you encounter anywhere in mathematics, introducing a lot of notation.

About the Greek alphabet, don't worry - you'll get used to it. You will learn the letters as you go; the most common ones such as \phi, \psi, \alpha, \beta, \theta you will pick up rather soon, others you will only encounter only much later (some fellow students who didn't take Greek only learned some of them in the third year in university).

And of course, if something is not clear: ask someone!
 
yuska said:
I’m about to learn advances of mathematics. However, notations, symbols, such as Greek, etc, makes me MORE difficult to learn it. Does anyone here know the way to solve this problem and get easier?
Your worry expressed indicates the stress of transitioning from "Basic Mathematics" to Introductory Algebra. Maybe you are really trying to transit from Introductory Algebra into Geometry. What you need is the ability to read critically and practice. Notation will always be important. Mathematics works like a written language. It is not the same to use as a natural human language. Mathematics is nearly always handled in written form, and so notation, just as in written English, will always be important for clear communication.
 
Wow, we all read the question differently. I thought the poster was asking about historical advances in mathematics, complaining that early notation differed from modern symbolic notation.
 
Yeah, it's probably the subtle difference between "advances" and "advanced" that I initially missed as a non-native English speaker, mainly looking at the title :smile:
I admit it is a bit ambiguous though. So sorry if I misinterpreted your question.
 

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