For many years Serge Lang has given talks to undergraduates on selected itemsin mathematics which could be extracted at a level understandable by studentswho ha... » 

For many years Serge Lang has given talks to undergraduates on selected itemsin mathematics which could be extracted at a level understandable by studentswho have had calculus. Written in a conversational tone Lang now presents acollection of those talks as a book. The talks could be given by faculty buteven better they may be given by students in seminars run by the studentsthemselves. Undergraduates and even some high school students will enjoy thetalks which cover prime numbers the abc conjecture approximation theorems ofanalysis BruhatTits spaces harmonic and symmetric polynomials and more in alively and informal style. TOCPrime Numbers. The abc Conjecture. GlobalIntegration of Locally Integrable Vector Fields. Approximation Theorems ofAnalysis. Other Connections. BruhatTits Spaces. Harmonic and SymmetricPolynomials. «