Why is Math Mindblowing to you and What are some Mindblowing Books about Math

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Discussion Overview

The discussion revolves around the subjective nature of what makes mathematics "mindblowing" to individuals, as well as recommendations for inspiring mathematical literature. Participants explore how personal experiences and backgrounds influence their perceptions of mathematical concepts and the impact of various books on their understanding of math.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants suggest that the mindblowing nature of math varies based on the reader's level of expertise, with different books resonating with professionals versus high school students.
  • A participant recommends Hilbert's "Geometry and the Imagination" as a universally inspiring book for all readers.
  • Another participant mentions "Fermat's Enigma" by Simon Singh as an interesting read, though not necessarily mind-blowing, highlighting its historical context regarding Fermat's Last Theorem.
  • One contributor expresses a preference for books that reflect the struggles of their authors, suggesting that works by well-known mathematicians are often more inspiring than those by textbook writers.
  • Participants express admiration for various authors, including Vladimir Arnold, Lanczos, Gelfand, Baez, Kolmogorov, Whittaker, and Euler, noting their contributions to inspiring mathematical literature.

Areas of Agreement / Disagreement

Participants generally agree on the subjective nature of what constitutes mindblowing mathematics and the importance of personal experience in this context. However, there are multiple competing views regarding which books are most inspiring and why.

Contextual Notes

The discussion reflects a variety of personal preferences and experiences, which may not be universally applicable. The criteria for what makes a book inspiring or mindblowing are not explicitly defined and may depend on individual interpretations.

Who May Find This Useful

This discussion may be useful for readers interested in mathematics, particularly those seeking recommendations for inspiring mathematical literature or exploring different perspectives on the impact of math on individuals.

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Why is Math Mindblowing to you and What are some Mindblowing Books about Math
 
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what blows your mind depends on where you are right now. So a book that blows a professional mathematician's mind may not impress a high school student. But I suggest hilbert's "geometry and the imagination" to all readers.
 
I wouldn't necessarily call it "mind-blowing," but Fermat's Enigma by Simon Singh is a really cool math book. It's about the history of Fermat's Last Theorem and how it was finally solved in the 1990's.
 
Mathwonk, I completely agree. Hilbert's Geometry and the Imagination is, by far, the most inspiring book in my mathematical library.

Books that I consider inspiring are books that I know was a product of struggle. That is, the mathematician author better have written it with the blood of his heart. In that sense, any writing from any "famous" mathematician is bound to be better than some textbook writer. There is certainly a sense of appreciation reading from primary sources rather than tertiary sources of mathematical struggles.

I really like Vladimir Arnold's books, few of the very rare good post-Bourbaki works of mathematics. Other modern writers I like are Lanczos, Gelfand, and Baez. In the pre-Bourbaki era, I really like Kolmogorov, Whittaker, and Euler.
 

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