A Course of Pure Mathematics

G.H. Hardy, M.A., F.R.S.
Fellow of New College,
Savilian Professor of Geometry in the University of Oxford,
Late Fellow of Trinity College, Cambridge


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Title: A Course of Pure Mathematics
Author: G.H. Hardy, M.A., F.R.S.
Edition: Third
Release Date: Oct. 29, 2012 [EBook #36276]
Language: English
Character set encoding:UTF-8
Markup: HTML5 + MathML
Source Markup: LATEX
Preface to the Third Edition3
Extract from the Preface to the Second Edition5
Extract from the Preface to the First Edition6
IReal Variables9
IIFunctions of Real Variables113
IIIComplex Numbers217
IVLimits of Functions of a Positive Integral Variable357
VLimits of Functions of a Continuous Variable. Continuous and Discontinuous Functions533
VIDerivatives and Integrals639
VIIAdditional Theorems in the Differential and Integral Calculus863
VIIIThe Convergence of Infinite Series and Infinite Integrals1043
IXThe Logarithmic and Exponential Functions of a Real Variable1201
XThe General Theory of the Logarithmic, Exponential, and Circular Functions1339
Appendix I1491
Appendix II1513
Appendix III1522
Appendix IV1528