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FROM THE SHARED SHELF · 2006–2026 SAMPLE

The Princeton Companion to Mathematics

Timothy Gowers, June Barrow-Green, Imre Leader

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Original Hacker News comments, in the readers’ own words.

enriquto
The princeton companion is nice to have around, but you do not really read it end to end. Spivak's calculus you bring to the beach and read it between swim and swim. EDIT: Also, some books by Hilbert are breathtakingly beautiful: Geometry and the Imagination (just the chapter on synthetic differential geometry is worth more than 10 other great books), and the Methods of Mathematical Physics is also great. It begins by giving three proofs of cauchy-schwartz inequality, and then goes on to give several different definitions of the eigenvectors of a matrix. Both of those make great beach readings for this summer.

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