Unconventional Mathematical Theorems Beyond Textbooks

In summary, The conversation is about a person looking for a book that contains theorems not typically covered in textbooks, such as Viete's formulas for roots and coefficients of polynomials. They find these theorems useful in increasing computational speed and providing interesting relationships between objects. They are seeking a book that presents many interesting theorems not commonly taught in standard education for different fields in mathematics. Although there are many interesting theorems on Wikipedia, the person is specifically looking for a book recommendation. They mention enjoying Gelbaum and Olmstead's "Counterexamples in Analysis" as a student.
  • #1
zonk
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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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  • #2
as a student i liked counterexamples in analysis by gelbaum and olmstead
 

1. What are unconventional mathematical theorems beyond textbooks?

Unconventional mathematical theorems beyond textbooks refer to mathematical concepts and principles that are not commonly found in traditional textbooks. These theorems often challenge traditional mathematical thinking and provide alternative approaches to solving problems.

2. How are unconventional mathematical theorems discovered?

Unconventional mathematical theorems are often discovered through experimentation, exploration, and critical thinking. They may also be found by analyzing patterns and relationships in mathematical concepts.

3. Can unconventional mathematical theorems be applied in real-life situations?

Yes, many unconventional mathematical theorems have practical applications in various fields such as engineering, physics, and computer science. They can provide new insights and solutions to complex problems.

4. Are unconventional mathematical theorems accepted by the mathematical community?

While unconventional mathematical theorems may initially face skepticism from some members of the mathematical community, they are often embraced and studied by open-minded mathematicians. Theorems that have been rigorously proven and have practical applications are more likely to be accepted.

5. How can one learn about unconventional mathematical theorems beyond textbooks?

One can learn about unconventional mathematical theorems through reading books and articles written by mathematicians, attending conferences and seminars, and engaging in discussions with other mathematicians. Experimentation and exploration can also lead to the discovery of new unconventional theorems.

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