I've been reading the book The Cauchy-Schwarz master class and I'm enjoying it very much so far. In particular, I very much like the style of exposition which explains, connects and illustrates great ideas in inequalities well, shows some interesting advanced applications, and provides historical background. Moreover, I wish I'd read (parts of) it back in high school, as there are many gems in it which come up in math Olympiads; it's amazing how the book manages to be relevant for mathematicians in all stages of their development. Overall, I believe reading it will be an enjoyable experience which will give me a more holistic and principled perspective on the art of inequalities.

Are you aware of books that do a similar thing for other areas of math?

  • $\begingroup$ In my opinion, this book is hopelessly outdated now. $\endgroup$ Jun 22, 2017 at 8:22
  • $\begingroup$ can you elaborate? $\endgroup$
    – amakelov
    Jun 22, 2017 at 8:23
  • $\begingroup$ There are many new methods with C-S. $\endgroup$ Jun 22, 2017 at 8:25
  • 3
    $\begingroup$ @MichaelRozenberg "Hopelessly outdated"? "Many new methods with C-S" since 2004? Please name three. Do you think Polya's "inequalities", Zygmund's "Trigonometric Series" are also hopelessly outdated? $\endgroup$ Jun 22, 2017 at 9:05
  • 2
    $\begingroup$ I have already contributed my modest opinion regarding the $abc$ circular - completely useless - inequalities which you seem to have an unsatiable lust for, elsewhere. Do you have real-mathematics examples? $\endgroup$ Jun 22, 2017 at 9:32


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