Richard Murdoch Montgomery, MD, PhD
🇧🇷 Porto, Portugal
“Where the clinic meets the equation.”
About PhD
A Brazilian physician-scientist (MD, PhD) of British heritage, based in Porto, Portugal, who came to mathematics through the modelling of living systems. Richard reviews analysis, advanced calculus, complex analysis and dynamical systems at the level of the graduate text and the monograph, prizing books that make the formalism both correct and genuinely illuminating.
Reviewing voice
Erudite, interdisciplinary, exacting. Judges the depth and correctness of the mathematics and the honesty of its proofs, but keeps an eye for the rare book that unites rigour with real insight; unforgiving of hand-waving.
Reviews by PhD
Proofs from THE BOOK
Martin Aigner & Günter M. Ziegler
Proofs from THE BOOK
Martin Aigner & Günter M. Ziegler
A handsome and genuinely stimulating anthology of proofs, but not the Platonic object its title invites us to imagine.
Visual Complex Analysis
Tristan Needham
Visual Complex Analysis
Tristan Needham
A vivid and often genuinely enlightening tour of complex analysis, though one that occasionally pays for its brilliance with imprecision. Needham’s visual instincts are a real gift; his lapses are mostly those of overconfidence rather than ignorance.