A Course of Pure Mathematics Centenary Edition

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Cambridge University Press, Mar 13, 2008 - Mathematics - 509 pages
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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.
 

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good book

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this is and will always serve the people,s enquiring mind ,s about maths and its meaning to us in nour every day life,s and to learn from as well that we are onlyey human but for the enthuserist good perhap,s a bit more time reading the book for what it is and a lot more for nbstudents of the subject matter wf 

Contents

CHAPTER II
40
Fig 13 Fig 14
56
Fig 16
65
MISCELLANEOUS EXAMPLES ON CHAPTER II
67
CHAPTER III
72
Fig 19
75
Kg 21
79
u
90
Examples XLIX 1 Prove that if a 0 then
259
CHAPTER VII
285
CHAPTER VIII
341
or diverge according as Z2n2m converges or diverges ie
355
Examples LXXXI 1 If z is less than
387
CHAPTER IX
398
The general form of the graph of the logarithmic function
400
where s 1 for large n and divergent if
419

25 Cross ratios The cross ratio ziZ2 z3z4 is defined
99
CHAPTER IV
110
since lim jn
131
so that I zn rn Thus zn
163
CHAPTER V
172
Fig 27
185
Examples XXXVIII lIffix lx except when x 0aadpx
195
CHAPTER VI
210
3 Differentiate
227
CHAPTER X
447
2 we may get a different value corresponding to every
451
Suppose first that
481
22 The transformation z Z If z Z
483
Fig 58 Fig 59
485
APPENDIX I
487
Fig A Fig B
492
APPENDIX III
498
APPENDIX IV
502

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Page 6 - ... could often do things much better than my teachers; and even at Cambridge I found, though naturally much less frequently, that I could sometimes do things better than the College lecturers. But I was really quite ignorant, even when I took the Tripos, of the subjects on which I have spent the rest of my life; and I still thought of mathematics as essentially a 'competitive

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