4,0 von 5 SternenGood Introduction for Mentoring Young Mathematicians
3. Juni 2007 - Veröffentlicht auf Amazon.com
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.
If you have any interest in mathematics at all, you will enjoy this book. Like all of Stewart's books on mathematics, this is well-written, understandable, and interesting. The intended audience would be high-school students who are thinking about majoring in mathematics, college students who are majoring in mathematics, and the rest of us who wish we were smart enough to have majored in mathematics.
Stewart talkes broadly about what the fields of math involve, including some philosophy of mathematics, which is a fascinating field in its own right. He provides advice on what its like to study math, teach math, and above all, DO math.
The only downside of this book is the high price (in the bookstore) for such a small book. PolymathInTraining practiced unaccustomed frugality by reading this entire book in the bookstore for the price of a cup of coffee. But I will purchase it when it is released in paperback.
My 16-year-old is in college aspiring to be a mathematician. He's working under a professor on some undergraduate research, and this book was recommended by that professor. I couldn't have asked for a more inspiring book.