This is a good book of advice to young mathematicians, it covers every aspect of a mathematician's study, career path and aspirations. As a father of 3 teenage children, as well as a former french mathematics student (who makes a living in IT using some pathetic applied math occasionally), I am grateful for the wisdom given in this book which I can impart to my own children - should one day they tell me they want to pursue a career in mathematics. Math deserves the most gifted young students to pursue, contrary to the common 'wisdom' (or 'Herd Mentality') that Engineering, Accountancy, Law, Medicine, or Life Science which is à-la-mode in my country now, are most promising careers.
Math's beauty is in par with the Nature's beauty. And only those who are keen to explore would be revealed the secret of the Creator. I quoted 2006-Fields Medalist Prof Terence Tao's personal favourite algebra equation: "Sum of Cubes will always be a Square" (1^3+2^3+3^3+... + N^3) = (1+2+3...+N)^2. The secret behind this beautiful equation is "3-dimension can be reduced to 2-dimension". Can N-dimension be reduced to (N-1) dimension in some similar way ? this is a fascinating congesture for promising mathematicians to explore and derive useful applications from it.