Unconventional Mathematical Theorems Beyond Textbooks

AI Thread Summary
The discussion centers on the search for a book that compiles lesser-known theorems in mathematics, particularly those not typically found in standard textbooks. The focus is on the utility of these theorems, such as Viete's formulas, which enhance computational efficiency and reveal intriguing relationships among mathematical objects. Participants express interest in resources that present a variety of interesting theorems, emphasizing a preference for content over presentation style. A specific mention is made of "Counterexamples in Analysis" by Gelbaum and Olmstead, indicating a desire for similarly engaging material. The conversation highlights the need for accessible literature that explores unconventional mathematical concepts.
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I'm looking for something like a books filled with theorems not typically covered in textbooks. For example Viete's formulas for roots and coefficients of polynomials, which, strangely enough, I find useful. They speed up my computational speed and give interesting relationships between objects. A book that presents many interesting theorems that are not heavily utilized in standard education for different fields in mathematics. Anyone know a book like that? There are many interesting theorems on wikipedia that look interesting, but I don't care too much about the way they are presented.
 
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as a student i liked counterexamples in analysis by gelbaum and olmstead
 

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