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Through the Numerical Analysis lecture I came across Bèzier curves, B-Splines and Spline Interpolation and found it very interesting. The title of the chapter was Computer Aided Geometric Design and I was trying to find literature on this subject.

However, I just found one book with good reviews (Curves and Surfaces for CAGD: A Practical Guide) and it's quite expensive. I was wondering if any of you know some more book and web sources on that subject?

I'm searching for a formal approach with theorems and proofs. A lot of books you find online are not written for math students and are not formal at all.

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There are many books on splines and CAGD.

Try The Essentials of CAGD by Farin and Hansford. All books by Farin are nice, including the one you've mentioned, Curves and Surfaces for CAGD: A Practical Guide.

There is also Fundamentals of Computer Aided Geometric Design by Hoschek and Lasser.

And the freely available Computer Aided Geometric Design by Sederberg, used in a course.

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A few other on-line sources that might be useful:

Notes by Shene.

Book by Patrikalakis and Maekawa.

Notes by Ken Joy.

But none of these use the theorem-proof style of exposition that you're seeking. For that, you might try this book by Carl de Boor, thought it's really about splines, rather than CAGD.

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