(P/B) A COURSE OF PURE MATHEMATICS

Παρουσίαση

There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit. Celebrating 100 years in print with Cambridge, this edition includes a Foreword by T. W. Korner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to. (From the publisher)

Περιεχόμενα

Foreword T. W. Korner
1. Real variables
2. Functions of real variables
3. Complex numbers
4. Limits of functions of a positive integral variable
5. Limits of functions of a continuous variable: continuous and discontinuous functions
6. Derivatives and integrals
7. Additional theorems in the differential and integral calculus
8. The convergence of infinite series and infinite integrals
9. The logarithmic, exponential, and circular functions
10. The general theory of the logarithmic, exponential, and circular functions
Appendices
Index