I have a question about how to memorize textbooks. For example, let's say that the table of contents of a math book is made like this. A. The limit of a sequence (A1. The limit of a sequence A2. The series) B.Differential method (B1. Differential method of various functions B2. various Differential method B3. Utilization of derivatives C. integral method (C1. Different integral method C2. Utilization of static integral) The biggest unit chapter here will be three (A, B, C). And there will be seven chapters in all of the smaller units (A1 to C2). But the problem is that I have to study more than 10 books. So the largest unit of space would be 30(3x10) and the smaller unit of chapter would be over 70(7x10). This is what happens when I make a smaller unit of chapter(70chapter) into a palace.(The advantage is that each chapter has a high association with its name and space. The downside is that there are so many chapters that it can be confusing.
Those textbooks are highly redundant: it's unlikely that you will need to store each (sub)chapter independently. What you see in a real analysis course is built on top of your calculus course(s). You'll find the same basic concepts: limit, differentiation, integral, and so on. Math is about studying various mathematical objects put in some context: series, linear operators, Hilbert spaces and so on. For each of them, you have a definition, some theorems/lemmas that give you an alternative but equivalent definition ("characterization") and various properties (how those objects behave given a context, e.g. a metric space). Some parts of those theorems/lemmas/properties/contexts are seen in an introductory textbook, others are seen in a more advanced textbook. For instance, you may study compact metric spaces, e.g. called (X, d) (X is a topological space, d a distance). The definition is that (X, d) is a compact metric space iff X is coverable using a finite set of open spaces and it is complete. A theorem will tell you that it is equivalent to say that for every convergent series of X, its limit in an element of X. You'll have a list of various properties, like "a continuous real-valued function defined over a compact set is bounded and reaches its bounds". You put those images together in some mind palace or story. Later on, you may find out about the link between compact metric spaces and Cantor sets: you only need to store those new images with your "compact metric spaces" images. I never used mnemonics for studying mathematics (beside a few very specific things like memorizing the different types of matrices), but my guess is that it would be better to memorize those objects along their theorems and properties (and the main points of the proofs) instead on memorizing how the book is put together. Again, I never tried this (I planned to review my math this way), so maybe you should try a few things to see what's working. Keep in mind that the goal is not to be able to recite those books (as if you were praying), but to understand how those objects work in this or that context and how you could use this to solve new problems.
Of course there are easier and harder books. However as long as you can make up keywords for sentences and paragraphs you'll be always able to memorize these keywords with a memory palace. But I agree it's more complex.
@@MemorysportsTV I do this thing where I remember acronyms for school such as "SOCCAR" for soil erosion, oragutans, climate change, carbon sinks lost... and I remember a soccer ball in my memory palace to help me remember it instead of having individual images for each word so its much more concise. Is this fine?
A MEMORY Athelete, how can you commit such an act. Hope you get some rest next time, or not because the expressions you had were comedic lol@@MemorysportsTV
Tks for sharing.
Awesome info! Still looking forward to a congruent 2 card shadow system vid here on yt! No sweat though, love your work
I have a question about how to memorize textbooks.
For example, let's say that the table of contents of a math book is made like this.
A. The limit of a sequence (A1. The limit of a sequence A2. The series) B.Differential method (B1. Differential method of various functions B2. various Differential method B3. Utilization of derivatives C. integral method (C1. Different integral method C2. Utilization of static integral)
The biggest unit chapter here will be three (A, B, C).
And there will be seven chapters in all of the smaller units (A1 to C2).
But the problem is that I have to study more than 10 books.
So the largest unit of space would be 30(3x10) and the smaller unit of chapter would be over 70(7x10).
This is what happens when I make a smaller unit of chapter(70chapter) into a palace.(The advantage is that each chapter has a high association with its name and space. The downside is that there are so many chapters that it can be confusing.
Those textbooks are highly redundant: it's unlikely that you will need to store each (sub)chapter independently. What you see in a real analysis course is built on top of your calculus course(s). You'll find the same basic concepts: limit, differentiation, integral, and so on.
Math is about studying various mathematical objects put in some context: series, linear operators, Hilbert spaces and so on. For each of them, you have a definition, some theorems/lemmas that give you an alternative but equivalent definition ("characterization") and various properties (how those objects behave given a context, e.g. a metric space). Some parts of those theorems/lemmas/properties/contexts are seen in an introductory textbook, others are seen in a more advanced textbook.
For instance, you may study compact metric spaces, e.g. called (X, d) (X is a topological space, d a distance). The definition is that (X, d) is a compact metric space iff X is coverable using a finite set of open spaces and it is complete. A theorem will tell you that it is equivalent to say that for every convergent series of X, its limit in an element of X. You'll have a list of various properties, like "a continuous real-valued function defined over a compact set is bounded and reaches its bounds". You put those images together in some mind palace or story. Later on, you may find out about the link between compact metric spaces and Cantor sets: you only need to store those new images with your "compact metric spaces" images.
I never used mnemonics for studying mathematics (beside a few very specific things like memorizing the different types of matrices), but my guess is that it would be better to memorize those objects along their theorems and properties (and the main points of the proofs) instead on memorizing how the book is put together. Again, I never tried this (I planned to review my math this way), so maybe you should try a few things to see what's working. Keep in mind that the goal is not to be able to recite those books (as if you were praying), but to understand how those objects work in this or that context and how you could use this to solve new problems.
This is wonderful
How to use memory palace after build it?
after a while building memory palace become difficult as the amount of information increased.
what about math and computer science or programming or any book is really needs so much of numbers or coding?
Of course there are easier and harder books. However as long as you can make up keywords for sentences and paragraphs you'll be always able to memorize these keywords with a memory palace. But I agree it's more complex.
@@MemorysportsTV I do this thing where I remember acronyms for school such as "SOCCAR" for soil erosion, oragutans, climate change, carbon sinks lost... and I remember a soccer ball in my memory palace to help me remember it instead of having individual images for each word so its much more concise. Is this fine?
@@MemorysportsTV it allowed me to memorise it in my longer term memory in like 30 sec
that awesome thxx for advice
oh no.. the host looks like he's ready to fall asleep
Haha yeah but that was rather due to not enough sleep than to the great conversation :D
A MEMORY Athelete, how can you commit such an act. Hope you get some rest next time, or not because the expressions you had were comedic lol@@MemorysportsTV
@@piaoaaapiao Haha I can because I try not to care about too much about others opinions on me :)
@@MemorysportsTV thats the way! I also highly recommend Matt Walker's book