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.
"Since its publication in 1908, G.H. Hardy's Pure Mathematics has been a classic work to which successive generations of budding mathematicians have turned 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."--Jacket.