Where Can I Find a Complete Self-Study Guide to Learning Maths from Scratch?

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SUMMARY

This discussion focuses on finding a comprehensive self-study guide for learning mathematics from the basics to the first year of university. Key resources mentioned include Khan Academy, which offers structured video tutorials from early math to advanced topics, and MathWorld, an online math dictionary for definitions and explanations. Essential mathematical branches to study include calculus, linear algebra, differential equations, real analysis, abstract algebra, and statistics. The discussion emphasizes the importance of a methodical approach to learning mathematics without the need for additional resources.

PREREQUISITES
  • Understanding of basic arithmetic and algebra
  • Familiarity with online learning platforms like Khan Academy
  • Knowledge of mathematical terminology such as differentiation and integration
  • Awareness of various branches of mathematics including calculus and linear algebra
NEXT STEPS
  • Explore Khan Academy's complete math curriculum
  • Research MathWorld for definitions and explanations of mathematical concepts
  • Study the fundamentals of calculus, focusing on differentiation and integration
  • Learn about linear algebra and its applications in advanced mathematics
USEFUL FOR

This discussion is beneficial for self-learners, students preparing for university-level mathematics, and anyone seeking a structured approach to mastering mathematical concepts from the ground up.

mather
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hello

I am looking for a step-by-step methodical way to learn maths from scratch up to 1st university year.

I need a whole and complete self study method (eg. CDs, DVDs, websites, books, encyclopedias, etc), that won't require you to refer to other resources

is there anything like this?

I don't want a bunch of articles in mathematics, which may be complete, but they are not in an order to guide your learning from the basics and upwards

I need something like a tutorial, that will start from not taking anything as known and lead you to advanced university-entry mathematics

first of all, I am troubled with all these branches of mathematics, calculus, algebra, geometry, trigonometry, differentiation, derivatives, etc

I don't know how many are of them and I don't know what each of these mean and contain

any help please?

PS: I tried to post this in learning materials, but couldn't
 
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Khan Academy is a very good resource. They have videos starting from early math ranging all the way to upper division math.
 
Try MathWorld

There are several good math dictionaries online, like MathWorld. Just google math dictionaries, and look up the explanations.
Calculus is differentiation and integration.
After calculus you need linear algebra, differential equations, real analysis, abstract(AKA modern algebra), probably complex analysis, some statistics. Electives depend on what you want to do later, but do not worry about that now. Some of these decisions should be put off until you've had more math and must make a decision.
You never know what may come up. Long out of school, I suddenly discovered "Very Large Numbers" , I mean huge, that exponents cannot deal with, way beyond googleplex. Its a hobby for me.
But you need a job. Visit a math department at a university, find out who is hiring grads and what they are looking for.
 

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