Papers on Topology: Analysis Situs and Its Five Supplements (History of Mathematics)
"These famous papers, with their characteristic mixture of deep insight and inevitable confusion, are here presented complete and in English for the first time, with a commentary by their translator, John Stillwell, that guides the reader into the heart of the subject. One of the finest works of one of the great mathematicians is now available anew for students and experts alike. ----Jeremy GrayThe AMS and John Stillwell have made an important contribution to the mathematics literature in this translation of PoincarÃ©. For many of us, these great papers on the foundations of topology are given greater clarity in English. Moreover, reading PoincarÃ© here illustrates the ultimate in research by successive approximations (akin to my own way of mathematical thinking). ----Stephen SmaleI am a proud owner of the original complete works in green leather in French bought for a princely sum in Paris around 1975. I have read in them extensively, and often during topology lectures I refer to parts of these works. I am happy that there is now the option for my students to read them in English." ----Dennis Sullivan"The English translation of Poincari's celebrated work Analysis situs, together with the series of "Compliments'' he added between 1895 and 1904, makes available a remarkable resource to the non-francophone community. Darboux wrote of Poincari that "when he drafted a memoir, he drafted it in one go, limiting himself to some crossings out, without coming back to what he had written''. Stillwell's translation admits us to this pouring forth of Poincari's ideas, and to their consequences as played out in the supplements. Not only do we get a glimpse of Poincari at work, but these papers contain the beginnings of the modern notions used in topology today and the connections they make with the ideas of the nineteenth century.  "Analysis situs and its supplements have earned their place as the source of many rich ideas that developed into the field of algebraic topology. At the end of the introduction to Analysis situs Poincari writes, "I do not think then that I have engaged in useless work in writing the present memoir''. The reader more than a century later will find that he or she will not engage in useless work in reading Poincari's papers. We have Stillwell to thank for making such work easier with his translation." ---- John McCleary, Mathematical ReviewsI am a proud owner of the original complete works in green leather in French bought for a princely sum in Paris around 1975. I have read in them extensively, and often during topology lectures I refer to parts of these works. I am happy that there is now the option for my students to read them in English. ----Dennis Sullivan