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Can anyone please recommend a book that describes Affine Spaces and Affine Transformations? Many books i saw described it very briefly. Can anyone please suggest a book that deals with it in detail?


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Check out Kaplansky's "Linear Algebra and Geometry", Chapter 3‌​. It contains some stuff but you might want it more detailed. – Rudy the Reindeer Sep 12 '12 at 10:06
There's a long list of books at Wikipedia. – Willie Wong Sep 12 '12 at 10:57

For the more geometrical concepts related to affine spaces, a good resource is Chapter 2 of Marcel Berger's Geometry I. (To get the most out of it, one should review Chapters 0 and 1 to make sure the concepts and terminologies used are familiar.)

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Thanks a lot everyone! – Mukund Sep 12 '12 at 14:17
Hi all, i saw the book(Geometry I by Marcel Berger) preview on Amazon. Could anyone please let me know if this would be too much for a newbie? I saw the contents and it seems very interesting. I am planning on buying this book. – Mukund Sep 12 '12 at 17:53
Depends on what you mean by newbie :-) The publisher lists the content level of the book at "lower undergraduate", and I remember the discussion being very intuitive (once you learn how to translate the notation into mental pictures) and down-to-earth, so shouldn't be too hard to get into. (BTW, Springer also sells eBook edition of this book at a slight discount, if you want to save money.) – Willie Wong Sep 13 '12 at 9:56
Thanks a lot Willie Wong! – Mukund Sep 13 '12 at 14:16

You can read Jean Gallier's book Basics of Affine Geometry, which is available from Springer. Gallier also has some notes on this topic available for free download at and at

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