Book:G.H. Hardy/A Course of Pure Mathematics/Tenth Edition

G.H. Hardy: A Course of Pure Mathematics (10th Edition)

Published $\text {1952}$, Cambridge University Press

Subject Matter

• Real Analysis

Contents

Preface to the Tenth Edition (August 1950, J.E. Littlewood)

Preface to the Seventh Edition (November 1937, G.H.H.)

Extract from the Preface to the First Edition (September 1908, G.H.H.)

Chapter I: Real Variables

Chapter II: Functions of Real Variables

Chapter III: Complex Numbers

Chapter IV: Limits of Functions of a Positive Integral Variable

Chapter V: Limits of Functions of a Continuous Variable. Continuous and Discontinuous Functions

Chapter VI: Derivatives and Integrals

Chapter VII: Additional Theorems in the Differential and Integral Calculus

Chapter VIII: The Convergence of Infinite Series and Infinite Integrals

Chapter IX: The Logarithmic, Exponential, and Circular Functions of a Real Variable

Chapter X: The General Theory of the Logarithmic, Exponential, and Circular Functions

Appendix I. The inequalities of Hölder and Minkowski

Appendix II. The proof that every equation has a root

Appendix III. A note on double limit problems

Appendix IV. The infinite in analysis and geometry

Index