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/math/ - Mathematics


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25 Dec 2021Mathchan is launched into public

14 / 3 / 14 / ?

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Request and deliver any books or book recommendation in this thread.

OP starts:
>Algebraic Topology, Allen Hatcher
https://pi.math.cornell.edu/~hatcher/AT/AT+.pdf
You really shouldn't go with any other book. Stick with Hatcher, even when you feel lost.
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>>400
Why should one only stick with Hatcher? I feel like books like May, Strom or Fomenko and Fuchs are plenty good as well.
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>>400
https://www.ihes.fr/~gromov/wp-content/uploads/2018/08/Gromov-Metric-structures-Riemann-non-Riemann-spaces.pdf
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>>400
Are there any books that explain the system in pic or system below
{a231qa=0qa227=0 \begin{cases}\lfloor{\frac{a^2-31-q}{a}}\rfloor=0\\ \lfloor{\frac{q}{a^2-27}}\rfloor =0\end{cases}
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>>402
Have You read it?
How does it compare to rudin, Zorich or Amann&Escher?
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>>789
NTA but how good is Zorich?
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>>845
Zorich is pretty good but wordy at times (not that it is a bad thing but everybody has their preference). The exercises have natural science flavour to them and some of them really hard.
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>>851
Would you recommend to someome with no prior experience with analysis?
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>>852
It's definitely recommended to someone with no experience in analysis. But the first chapter may seem daunting but do not worry about it as it is meant to be skipped ( mostly) , as you don't need to understand zermelo frankel set theory to understand analysis. It is clearly labelled which part can be skipped and which is essential reading.
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>>855
Thanks.
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>>852
NTA but while I really do like his treatment of analysis (i.e. chapter 3 and onwards), I think his introduction isn't that great, specifically chapter 2 (I actually think chapter 1 is great for getting used to basic set theory and learning to handle quantifiers). Especially the problems (e.g. proving Liouville's theorem) are far too difficult compared to what you got in chapter 1. For introductory stuff, I prefer Amann Escher.
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>>858
Test
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>>873
What are you testing?
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Does anyone know of any books that explain quotient vector space and filtration of nilpotent endomorphism?