Удивительная математика. Как теория чисел и теория множеств порождают парадоксы бесконечности

U knigi o beskonechnosti ne mozhet bytʹ kont͡sa; beskonechnostʹ - ėto neskonchaemai͡a istorii͡a, utverzhdaet avtor neskolʹkikh mezhdunarodnykh bestsellerov, blesti͡ashchiĭ matematik i filosof, professor Telʹ-Avivskogo universiteta Khaim Shapira.V soprovozhdenii velichaĭshikh matematicheskikh umov vsekh ėpokh s ikh genialʹnymi gipotezami, teoremami i dokazatelʹstvami vy otpravitesʹ v uvlekatelʹnoe matematicheskoe puteshestvie, v khode kotorogo vas zhdet mnozhestvo otkrytiĭ, chudesnai͡a druzhba s t͡siframi i velikolepnai͡a pishcha dli͡a uma. "Pochemu stolʹ mnogie li͡udi churai͡utsi͡a zamyslovatosti i krasoty, kotorye mozhno naĭti v mire chisel i ikh svi͡azi͡akh drug s drugom? Vozmozhno, glavnai͡a prichina zakli͡uchaetsi͡a v nepristupnosti matematiki i tekh trudnosti͡akh, s kotorymi stalkivai͡utsi͡a zhelai͡ushchie poznatʹ ee. Deĭstvitelʹno, matematika vesʹma slozhna, i, chtoby razobratʹsi͡a v ee khitrospletenii͡akh, neobkhodimo zatratitʹ vremi͡a i prilozhitʹ umstvennye usilii͡a - no i za osobo izyskannymi zhemchuzhinami inogda prikhoditsi͡a nyri͡atʹ do samykh nedostupnykh glubin. Dli͡a meni͡a vazhno, chtoby ėtu knigu mog s udovolʹstviem chitatʹ li͡uboĭ chelovek, dostatochno li͡uboznatelʹnyĭ i stremi͡ashchiĭsi͡a vremi͡a ot vremeni porabotatʹ golovoĭ".(Khaim Shapira) Chitatʹ dalʹshe…

There can be no end to a book about infinity; infinity is a never—ending story, says Chaim Shapira, author of several international bestsellers, a brilliant mathematician and philosopher, professor at Tel Aviv University.Accompanied by the greatest mathematical minds of all ages with their brilliant hypotheses, theorems and proofs, you will embark on an exciting mathematical journey, during which you will find many discoveries, wonderful friendship with numbers and great food for the mind. "Why do so many people shy away from the intricacy and beauty that can be found in the world of numbers and their connections to each other? Perhaps the main reason lies in the inaccessibility of mathematics and the difficulties faced by those who wish to learn it. Indeed, mathematics is very complex, and to understand its intricacies, it takes time and mental effort — but sometimes you have to dive to the most inaccessible depths for particularly exquisite pearls. It is important to me that anyone who is curious enough and wants to work with his head from time to time can read this book with pleasure."(Chaim Shapira) Read more…