Earn Galois Dream: Group Theory And Differential Equations: Group Theory And Differential Equations Penned By Michio Kuga Physical Book

book is lighthearted and makes you want to like it, Given the fun style and lack of exercises, I was expecting this to be a book that could accommodate a superficial reading.
This was not really the case, On the other hand, it looks like the hard proofs were all skipped, so it does not appear to be designed for a serious reading either.


my favorite quote: "One of the misfortunes of life is that xLy does not imply that yLx.
" This is a very good book, While it is not a strictly formal introduction to the realm of differential Galois theory, it is a very good book for learning intuition towards group theory and topology and how they are used within the often terrifying realms of complex analysis and differential equations.
I would recommend reading it alongside a formal book so that you can gain the formality you require while simultaneously getting the insight that you need to truly understand the subject.
The only fall back that this book has is its lack of formality, which when you consider that it was actually used as lecture notes aimed towards a class of first years, is not that surprising.
A good read overall, and worth it for anyone who wishes to dip their toes into the world of differential Galois theory.
More like Galois' Nightmare. This book goes fromreal quick, The first half is easy and fun, the second half is fairly dense and obscure, This is rather hybrid book. Like, a cross between popular mathematics and college textbook,

At first glance one may think it's for popular audience, but then equations came along, Weirdly enough then you realize that they're not fullon rigorous math: in this book the author used them as if just to help clarify what he had to say.
Where there are equations there would also be sketches, cartoons, even quirky analogies, "Men Who Do Not Realize That Their Wives Have Been Interchanged" is particularly memorable

I personally find this book very good, not always easy, but effective.
It should be noted that this book has somewhat of a curve: At first it goes easy with illustration and such, then a bit more complicated homeomorphy etc the last few chapters then decide to be generous with long proofs.
They are mostly tackleable if you've studied collegelevel math,

though,

Recommendation: only if you have prior mathematical training, First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experiencean introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world.
English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations.
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