# KINDLE EPUB The Art of the Infinite The Pleasures of Mathematics – shelving–for–books.co.uk

## Robert M. Kaplan ✓ 0 characters

One of my favorite books on math The essence of mathematics lies entirely on its freedom said Georg CantorTHE Man Who Figured Outman who figured out there are countable and uncountable infinities Wow Infinite freedom Well at least freedom within a playground nested with infinities Hilbert s paradise as you are about to learn in this book Hey Robert and Ellen managed to make number theory palatable for the layperson with an entire chapter on Cantor s work An infinite gold mine as a chapter And there is much The whole thing is a vivid narrative about mathematical beauty everywhere playful with subtle humor and deep erudition That is history geometry philosophy poetry infinite entertainment Mathematics is something that I find interesting but definitely wish I knew about So I went to

local library looking for good book on math to give me an introduction to the subject When I found this book I thought I d found what I was looking for Robert Kaplan's The Nothing That Is A Natural History of Zero was an international best seller translated into ten languages The Times called it elegant discursive and littered with uotes and allusions from Auinas via Gershwin to Woolf and The Philadelphia Inuirer praised it as absolutely scintillating In this delightful new book Robert Kaplan writing together with his wife Ellen Kaplan once again takes us on a witty literate and accessible tour of the world of mathematics Where The Nothing That Is looked at math through the lens of zero The Art of the Infinite takes infinity in its countless. Oy was I wrongThe book is writtenMy Local Library Looking For

In This Weird Florid Prose And Justthis weird florid prose and just way it was written made it impossible to ead I tried eally hard but I Prose so purple I claim it was abused This book needed an editor to cut out the blathering that the authors thought clever The Au bagne references to Rimbaud and Proust to cite just a couple were completely unnecessary and distractingIead the first 3 chapters and then skipped to the last the chapter on Georg Cantor and aleph null aleph one and transfinite numbers Fun fact Cantor was a conspiracy theoristI was excited when I Indistractable read this in the introductionMany small things estrange math from its proper Wow I loved this book Iteally opened my mind around how numbers are epresented and

constructedThis is one of the best bookshave ead that explores one of the best books I have ead that explores foundations of numbers in a very understandable format The approachdevelopment of math knowledge in the book was entertaining with a mix. Guises as a touchstone for understanding mathematical thinking Tracing a path from Pythagoras whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret the existence of irrational numbers; through Descartes and Leibniz; to the brilliant haunted Georg Cantor who proved that infinity can come in different sizes the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics The Kaplans guide us through the Republic of Numbers where we meet both its upstanding citizens and shadowy dwellers; and we travel across the plane of geo. Of history and inspiring proofs and examples I wished I ead this book when I was in high school Topics I eally appreciated include the explanation of number fields In particular I eally enjoyed the explanation of why a heptagonI Have Read That Explorescan t be constructed with compass and uler through the previously developed understanding of fields toolst be constructed compass and uler through the previously developed understanding of fields Additional tools be neededOf course I ve known a lot about numbers for years and I use Real and Complex numbers every day as an engineer But I never had such an appreciation for how to constructrepresent numbers exactlyAs a side note The book didn t talk about this but floating point numbers are popular for approximating eal numbers Floating point numbers can be problematic because of truncation and ounding errors that occur in calculations This book has inspired me to learn about Exact Reals and has given me the ability to followunderstand papers on various strategies for exact eals as an al. Metry into the unlikely ealm where parallel lines meet Along the way deft character studies of great mathematicians and eually colorful lesser ones illustrate the opposed yet intertwined modes of mathematical thinking the intutionist notion that we discover mathematical truth as it exists and the formalist belief that math is true because we invent consistent ules for it Less than All wrote William Blake cannot satisfy Man The Art of the Infinite shows us some of the ways that Man has grappled with All and eveals mathematics as one of the most exhilarating expressions of the human imaginati. .

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Robert M. Kaplan