A Course of Pure Mathematics Centenary edition

Description

Celebrating 100 years in print with Cambridge, this newly updated edition includes a foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. There are few textbooks in 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 rigor 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. 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 Content: Ch. 1. Real variables -- Ch. 2. Functions of real variables -- Ch. 3. Complex numbers -- Ch. 4. Limits of functions of a positive integral variable -- Ch. 5. Limits of functions of a continuous variable. Continuous and discontinuous functions -- Ch. 6. Derivatives and integrals -- Ch. 7. Additional theorems in the differential and integral calculus -- Ch. 8. Convergence of infinite series and infinite integrals -- Ch. 9. Logarithmic, exponential, and circular functions of a real variable -- Ch. 10. General theory of the logarithmic, exponential, and circular functions -- App. I. proof that every equation has a root -- App. II. note on double limit problems -- App. III. infinite in analysis and geometry -- App. IV. infinite in analysis and geometry.