For the "non-Mathmo", this book will provide a fascinating insight into the career arc of a Mathematician from high school beginnings right up to post-graduate University and research positions. However, it is so much more than that: as is now the norm for Stewart, the work is generously peppered with accessible, entertaining anecdotes which serve as appropriate interludes at any point he is in danger of entering 'yawn booorrring' territory. These anecdotes also elucidate exactly what it is that Mathematicians do and go some way to explaining to the layman just what the appeal of the subject is. Particularly worthy of praise is the fact that Stewart has not relied on the clichés of popular Mathematics which we have all seen before (The Death of Evariste Galois, Sophie Germain etc.) and instead injects some new, lesser known stories into the mix.
Much more narratively interesting than his other works, the apparently ageless Stewart corresponds with a young Mathematician giving advice as she travels, over the course of a decade or so, along the path of a Maths student, eventually to the career ladder. The nature of their correspondence at first has a sinister edge, as if he is grooming her, but any such suspicions are swiftly dropped as it becomes more apparent that the letter format is merely a tool Stewart is employing to spread his message about the world of Mathematics. The personal touch gives Stewart's page-voice a warmth that successfully dampens the often smug and arrogant tone present in his other works.
To the Mathematics student, this work is both an invaluable motivational tool and a useful tome of advice for any career or study choices that the student finds themselves having to make. As a Mathematics student myself I often felt while reading the book that I could slip into the role of Meg (the eponymous "young Mathematican") and feel the wisdom was being addressed to me personally. Chapter 14's anthropological approach to the academic environment (a clever, almost tribal analysis of "gift giving" and "tribute") is essential reading for anyone in the academic field intending to manipulate the machine in their favour. Academia is a highly politicised field and Stewart's insights will minimise frustrations if carefully considered.
While it is a perpetual problem for the popular Mathematics writer to dumb down the subject enough to make it accessible, Stewart has achieved something truly praiseworthy here, a triumph of style that manages to address two audiences on two separate levels with one single voice. If before his work and the work of his popular Mathematics writing peers (especially Keith Devlin) were really only suitable for Mathematicians and students in Mathematical Sciences then Letters to a Young Mathematician marks an important turning point in contemporary popular Mathematical literature for being a work that can be appreciated truly outside of the academic context. Stewart is finally taking Mathematical literature to the places that Russell Stannard did with his Uncle Albert books and Jostein Gaarder did with Sophie's World and for this he can only be praised.