A Course of Pure Mathematics Centenary Edition

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