The Music of the Primes
- Downloads：6703
- Type：Epub+TxT+PDF+Mobi
- Create Date：2021-07-26 09:53:36
- Update Date：2025-09-06
- Status：finish
- Author：Marcus du Sautoy
- ISBN：1841155802
- Environment：PC/Android/iPhone/iPad/Kindle
- Download
Summary
The paperback of the critically-acclaimed popular science book by a writer who is fast becoming a celebrity mathematician。Prime numbers are the very atoms of arithmetic。 They also embody one of the most tantalising enigmas in the pursuit of human knowledge。 How can one predict when the next prime number will occur？ Is there a formula which could generate primes？ These apparently simple questions have confounded mathematicians ever since the Ancient Greeks。In 1859， the brilliant German mathematician Bernard Riemann put forward an idea which finally seemed to reveal a magical harmony at work in the numerical landscape。 The promise that these eternal， unchanging numbers would finally reveal their secret thrilled mathematicians around the world。 Yet Riemann， a hypochondriac and a troubled perfectionist， never publicly provided a proof for his hypothesis and his housekeeper burnt all his personal papers on his death。Whoever cracks Riemann's hypothesis will go down in history， for it has implications far beyond mathematics。 In business， it is the lynchpin for security and e-commerce。 In science， it has critical ramifications in Quantum Mechanics， Chaos Theory， and the future of computing
Reviews
Randy
，
Although I'm not a mathematician， I had enough training in math to enjoy the book a great deal， which actually doesn't require a lot of hard math。 I read another book by the same author not that long ago， and it's a good one as well。I especially like the stories of the mathematicians covered in the book。 I know quite a bit about the giants: Euclid， Euler， Gauss， Rienman， Landau， Hardy， Littlewood， Ramanujan， Turing， Erdos， and Weil; but not much about the more recent figures: Selberg， Robinson， Although I'm not a mathematician， I had enough training in math to enjoy the book a great deal， which actually doesn't require a lot of hard math。 I read another book by the same author not that long ago， and it's a good one as well。I especially like the stories of the mathematicians covered in the book。 I know quite a bit about the giants: Euclid， Euler， Gauss， Rienman， Landau， Hardy， Littlewood， Ramanujan， Turing， Erdos， and Weil; but not much about the more recent figures: Selberg， Robinson， Zagler， RSA （used to use RSA tokens myself）， Diaconis， Grothendieck， Bombieri， Connes。 The stories of all of them are really fascinating: Diaconis ran away with a circus， Weil was almost executed as a Soviet Union spy in Finland， Grothendieck talked math in North Vietnam， etc。 Usually I don't read biographies much， maybe I need to change here。 I read about 0， pi， the golden ratio， probably need to read a book about "e"， base of natural logarithm。 。。。more
Fabio Cacciatori
，
Libro molto interessante， non pesante
Edu Zancaner
，
2，3，5，7，11，13，17。。。hace más de 2000 años Euclides demostró que los números primos eran infinitos。 Desde ese momento los matematicos se obsesionaron con intentar predecir el patrón o entender su aleatoridad。El autor nos lleva por la historia de la matemática y en particular a aquellos personajes que estudiaron la melodía de los números primos。 Sin dudas los ejes de este libro son Riemann y Gotinga。Sé puede probar qué todos los ceros no triviales de la función Zeta de Riemann están en la recta1/2？ 2，3，5，7，11，13，17。。。hace más de 2000 años Euclides demostró que los números primos eran infinitos。 Desde ese momento los matematicos se obsesionaron con intentar predecir el patrón o entender su aleatoridad。El autor nos lleva por la historia de la matemática y en particular a aquellos personajes que estudiaron la melodía de los números primos。 Sin dudas los ejes de este libro son Riemann y Gotinga。Sé puede probar qué todos los ceros no triviales de la función Zeta de Riemann están en la recta1/2？ La respuesta vale 1 millón de U$D y la eternidad en el mundo matemático。Sin dudas creo que Moshinus y Balero son los matematicos con más chances de demostrar la hipótesis y vivir para siempre en la historia de las matemáticas。 。。。more
Peter Gleaves
，
A very good book on prime numbers and attempts to prove the Riemann Conjecture （how many prime numbers are there up to a stated number）。 Full of history， humour， anecdotes and number theory， it is a very good book。 However， I struggled to make the connections between some of the analogies made between various branches of mathematics and the physical world and for that reason I have rated the book with 4 stars as opposed to 5。 In the main though， a very pleasant read。
Maya
，
Very accessible （I'm a high school senior and I managed to follow without too much difficulty） but still discusses the maths in detail。 Very clear and engaging to read。 Very accessible （I'm a high school senior and I managed to follow without too much difficulty） but still discusses the maths in detail。 Very clear and engaging to read。 。。。more
Maria
，
it was v nice book， enterntaining if anything i wish there was more maths， but knowing that im only year 12 i doubt i would have understood much more。 i guess the book did do exactly what its meant to do give u an overview of the story and a v much overview of the whole history of the discoevery of some order in the distribution of primes。 mi summary: （el resto esta en one note）t1。 Who wants to be a millionaire？tta。 Proofs son importante y presenta un run through de todos los proofs que que han it was v nice book， enterntaining if anything i wish there was more maths， but knowing that im only year 12 i doubt i would have understood much more。 i guess the book did do exactly what its meant to do give u an overview of the story and a v much overview of the whole history of the discoevery of some order in the distribution of primes。 mi summary: （el resto esta en one note）t1。 Who wants to be a millionaire？tta。 Proofs son importante y presenta un run through de todos los proofs que que han dado a sus discoverers un immortality en mathematics: Tiemann hyspothesis， fermats last theorem， goldbach's conjecture， hilbert space， the ramanujan tau function， euclids algorithm， the hardy-littlewood circle methos， fourier series， godel numberting， a siegel zero， the selberg trace formula， the sieve of eratotsthese， mersenne primes， the euler proudct and gaussian integersttt2。 The atoms of arithmetictta。 Gauss se hecho a la fama cuando predijo la location de ceres， un planeta que estaba believed de haberse desaparecidottb。 Su invention de modular arithemtic con sus clock calculators， que tiene un special link con prime numbers ttc。 。There are two species of cicada called Magicicada septendecim and Magicicada tredecim which often live in the same environment。 They have a life cycle of exactly 17 and 13 years， respectively。 For all but their last year they remain in the ground feeding on the sap of tree roots。 Then， in their last year， they metamorphose from nymphs into fully formed adults and emerge en masse from the ground。 It is an extraordinary event as， every 17 years， Magicicada septendecim takes over the forest in a single night。 They sing loudly， mate， eat， lay eggs， then die six weeks later。 The forest goes quiet for another 17 years。 But why has each species chosen a prime number of years as the length of their life cycle？ There are several possible explanations。 Since both species have evolved prime number life cycles， they will be synchronised to emerge in the same year very rarely。 In fact they will have to share the forest only every 221 = 17 × 13 years。 Imagine if they had chosen cycles which weren’t prime， for example 18 and 12。 Over the same period they would have been in synch 6 times， namely in years 36， 72， 108， 144， 180 and 216。 These are the years which share the prime building blocks of both 18 and 12。 The prime numbers 13 and 17， on the other hand， allow the two species of cicada to avoid too much competition。ttd。 Fermats "formula to calculate prime numbers"， of 2 to the power of 2 to the power of n and add 1， que mas tarde eurler proved no funcionaba para n =5tte。 Fermats little theorem that every prim enumber that is 4n +1 puede ser escrito como la suma de dos squaresttf。 Los mersenne primes of 2^n -1ttg。 Euler tambien produjo una formula que producia bastantes prime numbers x to the power of 2 + x + q where q could equal 2，3，4，11，17 y 41 que funcionann hasta q -2tth。 Gass tambien fue quien hice el primer formular que estimaba el amount of prime numbers up to a certain point， donde the numbers from 1 to N roughly 1 out of every log（N） numbers will be prime （where log（N） denotes the logarithm of N to the base e）。 He could then estimate the number of primes from 1 to N as roughly N/log（N）。 Aunque que suene muy vague si se encontrase una diferencia entre π（N） y π（N +1）， you know that N + 1 must be a new primetti。 Legendre’s improvement was to replace the approximation N/log（N） by thus introducing a small correction （minuding el denomitor por 1。08366 which had the effect of shifting Gauss’s curve up towards the true number of primes。ttj。 Utilizando la idea de que primes eran randomly assigned as prime of not iwth a probability of 1/log（N） pero ajustando esto un poco gauss utilizo esta idea to estimate the number of primes you should get after tossing the prime number coin N times。 With a normal coin which lands heads with probability ， the number of heads should be N。 But the probability with the prime number coin is getting smaller with each toss。 In Gauss’s model the number of primes is predicted to be Gauss actually went one step further to produce a function which he called the logarithmic integral， denoted by Li（N）。 The construction of this new function was based on a slight variation of the above sum of probabilities， and it turned out to be stunningly accurate。ttt3。 Riemanns imaginary mathematical landscapetta。 Euler habalndo del zeta function Now， however， quite unexpectedly， I have found an elegant formula depending upon the quadrature of the circle’ – in modern parlance， a formula depending on the number π = 3。1415 … By some pretty reckless analysis， Euler had discovered that this infinite sum was homing in on the square of π divided by 6ttb。 En el famous paper de riemann had been to confirm that Gauss’s function would provide a better and better approximation to the number of primes as one counted higher。 Although he had discovered the tools that would eventually establish Gauss’s Prime Number Conjecture， even this was out of reach。 Riemann may not have provided all the answers， but his paper pointed to a completely new approach to the subject which would set the course of number theory to this day。ttt4。 The riemann hypothesis from random primes to orderly zerostta。 Riemann investigo el plotting del zeta function y utilizando los imaginary nubmers descubrio During his doctorate， Riemann had discovered two crucial and rather counterintuitive facts about these imaginary landscapes。 First， he had learnt that they had an extraordinarily rigid geometry。 There was only one way that the landscape could be expanded。 The geometry of Euler’s landscape to the east completely determined what was possible out to the west。 Riemann couldn’t massage his new landscape to create hills wherever he fancied。 Any changes would cause the seam between the two landscapes to tear。 The inflexibility of these imaginary landscapes was a striking discoveryttb。 in these imaginary landscapes the location of all the imaginary numbers where the function outputs zero told you everything。 These places are called the zeros of the zeta function。ttc。 Riemann， though， was able to produce an exact formula for the number of primes up to N by using the coordinates of these zeros。 The formula that Riemann concocted had two key ingredients。 The first was a new function R（N） for estimating the number of primes less than N which substantially improved on Gauss’s first guess。 Riemann’s new function was， like Gauss’s， still producing errors， but Riemann’s calculations revealed that his formula gave significantly smaller errors。 For example， Gauss’s logarithmic integral predicted 754 more primes than there were up to 100 million。 Riemann’s refinement predicted only 97 more an error of roughly one-thousandth of 1 per cent。ttd。 Riemann made the stunning discovery that encoded in the varying heights of these waves was the way to correct the errors in his guess for the number of primes。 His function R（N） gave a reasonably good count of the number of primes up to N。 But by adding to this guess the height of each wave above the number N， he found he could get the exact number of primes。 The error had been eliminated completely。 Riemann had unearthed the Holy Grail that Gauss had sought: an exact formula for the number of primes up to N。tte。 As he began to explore the precise location of these points， he got a big surprise。 Instead of being randomly dotted around the map， making some notes louder than others， the zeros he calculated seemed to be miraculously arranged in a straight line running north—south through the landscape。 It appeared as if every point at sea level had the same east—west coordinate， equal to 。 If true， it meant that the corresponding waves were perfectly balanced， none performing louder than any otherttf。 His belief that every point at sea level in his landscape would be found on this straight line is what has become known as the Riemann Hypothesis。ttt5。 The mathematical relay race: realising riemanns revolutiontta。 Gauss habia claimed que el error de su formula nunca seriea mas que el square root de n The Russian mathematician Pafnuty Chebyshev couldn’t actually prove that the percentage error between Gauss’s guess and the true number of primes became smaller and smaller， but he did manage to show that the error for the number of primes up to N would never be more than 11 per cent， however big you chose N。 This may sound a far cry from the 0。003% that Gauss had achieved for the number of primes up to a billion， but the significance of Chebyshev’s result was that he could guarantee that however far one counted primes， the error would not suddenly become overwhelmingly large。 Before Chebyshev’s result， Gauss’s conjecture had been based solely on a small amount of experimental evidence。 Chebyshev’s theoretical analysis provided the first real support for some connection between logarithms and primes。 However， there was still a long way to go to prove that the connection would remain as tight as Gauss was conjecturing。ttb。 Back al riemanns hypothesis Hadamard’s paper fell short of a complete proof， his ideas were enough to award him the prize。 Spurred on by the award， by 1896 he had managed to fill in the gaps in his previous ideas。 He couldn’t show that all the zeros were on Riemann’s critical line through ， but he could prove that there were no zeros as far east as the border through 1。 ttc。 Finally， a century after Gauss’s discovery of a connection between primes and the logarithm function， mathematics had a proof of Gauss’s Prime Number Conjecture。 No longer a conjecture， thenceforth it was known as the Prime Number Theorem。 ttd。 Together， Landau and Bohr made the first successful push to navigate the points at sea level in Riemann’s landscape。 They were able to show that most of the zeros like to be bunched up against Riemann’s ley line。 They considered the number of zeros from 0。5 to 0。51 and compared it to the number of zeros outside this thin strip of land。 They were able to prove that the zeros in this strip at least accounted for a large proportion of the zeros。 Riemann had predicted that all the zeros were on the line through 。 Landau and Bohr couldn’t prove anything as definite as that， but they had made a start。tte。 After two centuries in the wilderness of disinterest in ideas from the Continent， an English mathematician， G。 H。 Hardy， seized Riemann’s baton and managed to prove that infinitely many of the zeros were indeed lining up on the north—south line running through 1/2ttf。 Gauss had made a second conjecture: that his guess would always overestimate the number of primes – it would never predict that there were fewer primes than there really were in the range from 1 to N。 ttBut in 1912 Littlewood discovered that， contrary to expectations， Gauss’s hypothesis was a mirage。 The foundation stone crumbled into dust under his scrutiny。 He proved that as you counted higher you would eventually come to regions of numbers where Gauss’s guess would switch from overestimating to underestimating the number of primes。 I in 1933， a graduate student of Littlewood’s named Stanley Skewes estimated that by the time one had counted the primes up to ， one will have witnessed Gauss’s guess finally underestimate the number of primes。ttttt6。 Ramanujan， the mathematical mystictta。 The clue to decoding Ramanujan’s formula is to rewrite the number 2 as 1/（2−1） （2−1 is another way of writing ）。 Applying the same trick to each number in the infinite sum， Hardy and Littlewood rewrote Ramanujan’s formula as Staring them in the face was Riemann’s answer to how to calculate the zeta function when fed with the number −1。 With no formal training， Ramanujan had run the whole race on his own and reconstructed Riemann’s discovery of the zeta landscape。ttb。 As Hardy and Littlewood pored over this second letter they found that Ramanujan had come up with another of Riemann’s fundamental discoveries。 Riemann’s refinement of Gauss’s formula for counting primes was very accurate， and Riemann had discovered how to use the zeros in the zeta landscape to remove the errors that his formula was still producing。 From absolutely nowhere Ramanujan had reconstructed part of the formula that Riemann had discovered fifty years before。 Ramanujan’s formula included Riemann’s refinement of Gauss’s guess for the number of primes， but it was missing the corrections that Riemann had built from the zeros in his landscape。ttc。 Whereas Ramanujan had failed with the primes， he was spectacularly successful with the partition numbers。 The combination of Hardy’s skill at negotiating complex proofs and Ramanujan’s blind insistence that a formula must exist carried them both through to its discovery。 Littlewood never understood ‘why Ramanujan was so certain there was one’。 And when one looks at the formula – which involves the square root of 2， π， differentials， trigonometric functions， imaginary numbers – one has to wonder from where it was conjuredt7。 Mathematical exodus from gottingen to princetontta。 Siegel discovered that Riemann was using an extraordinary formula which enabled him to calculate the heights in his zeta landscape very accurately。 The first part of the formula was based on a trick that Hardy and Littlewood had discovered。 Riemann had anticipated their contribution by some sixty years。 The second piece of the formula was completely new: Riemann had also discovered a way to add up the remaining infinite sum that was much cleverer than the method currently being used。 In contrast to Euler’s methods that had been used to locate the first 138 zeros， the points at sea level in the zeta landscape， Riemann’s formula would maintain a head of steam as he calculated farther north。ttb。 Selberg could not prove that all the zeros were on the line， he was able to show that the percentage captured by his method would not tail off to zero as he counted farther north。 He wasn’t too sure what fraction of the total number of zeros he had caught， but this was the first substantial bite out of the pie which left some tooth marks。 In retrospect， it looks as if he managed to prove that about 5 to 10 per cent of the zeros were on the line。 As you counted north， then， at least this proportion of zeros obeyed the Riemann Hypothesis。ttc。 Dirichlet utilizo el zeto function to prive that if you take a clock calculator with n hours on the clocck face and you dfeed in the primes， the calculator will hit one oclock infinitely often， there are infinitely many primes that have remainder 1 after diviging by nttd。 The record for the number of zeros proved to be in the line is held by Brian Conrey of Oklahoma University， who proved in 1987 that 40 per cent of the zeros must lie on the line。ttt 。。。more
Alejandro Ruiz
，
Maravilloso！！Un libro que sale de la zona de confort para adentrarse en la historia （hasta 2003） del intento de demostración de la hipótesis de Riemann。 Se nota que el autor ha tenido contacto con muchos de los mejores matemáticos que lo han intentado。Normalmente en divulgación se repite mucho los mismos temas y salen los matemáticos más famosos de la historia， pero aquí he conocido un poco la vida de Siegel， Selberg， Julia Robinson， Cohen， Weil， Zagier， Connes y muchos otros de una capacidad ab Maravilloso！！Un libro que sale de la zona de confort para adentrarse en la historia （hasta 2003） del intento de demostración de la hipótesis de Riemann。 Se nota que el autor ha tenido contacto con muchos de los mejores matemáticos que lo han intentado。Normalmente en divulgación se repite mucho los mismos temas y salen los matemáticos más famosos de la historia， pero aquí he conocido un poco la vida de Siegel， Selberg， Julia Robinson， Cohen， Weil， Zagier， Connes y muchos otros de una capacidad abrumadora。El autor hace de un tema tan complejo que se lea como una auténtica aventura intelectual。 。。。more
Barun Patra
，
Prime numbers and their distribution have always been one of the more interesting subjects to talk about。 This book takes you through the whole journey of starting out with finding the first few prime numbers to trying to find a pattern on how primes are spread through the universe of natural numbers。 The list of protagonists include Euclid， Euler， Gauss， Riemann， Polignac， Hilbert， Hardy， Littlewood， Ramanujan， Godel， Turing to name a few。 Naturally， the book focuses on one of the most importan Prime numbers and their distribution have always been one of the more interesting subjects to talk about。 This book takes you through the whole journey of starting out with finding the first few prime numbers to trying to find a pattern on how primes are spread through the universe of natural numbers。 The list of protagonists include Euclid， Euler， Gauss， Riemann， Polignac， Hilbert， Hardy， Littlewood， Ramanujan， Godel， Turing to name a few。 Naturally， the book focuses on one of the most important conjectures ever : The Riemann Hypothesis。Although the book does not delve into any theory， it is tough not to keep reading about each of the protagonists and their achievements on the side。 It is tough to get out of the loop。 Wikipedia， Numberphile， 3Blue1Brown are some of the resources that I would suggest to go along with the book。All in all， a very interesting read！ 。。。more
Katie Esposito
，
A very well written book that gives more life to mathematics than what’s typically perceived。 This book is a brief timeline of many of the players involved in the research and understanding of the Riemann Hypothesis and prime number analysis。 It’s not at all a technical book and can be easily enjoyed by people with or without a deep understanding of mathematics
Consuelo Martella
，
Il testo è scorrevole， c'è solo una piccola parte più tecnica， che però non credo renda difficile la lettura più di tanto。 Il testo è scorrevole， c'è solo una piccola parte più tecnica， che però non credo renda difficile la lettura più di tanto。 。。。more
Katy
，
My flatmates can attest to my absolute love of this book and， now， prime numbers with the amount of times I audibly gasped and then forced them to hear me read a passage aloud。 I love this book and everyone in it， with the exception of the one Nazi mathematician。
Louise Nolan
，
Du sautoys book on the Riemann Hypothesis is so much more chatty and equation free than Derbyshire’s book。 But du sautoy is trying to talk about prime numbers in general。 The story is technically fascinating and the characters involved are so compelling。 Gauss - discovery of Ceres， the prime number conjecture and many other breakthroughs in algebra and physics。Riemann - another Göttingen Professor，
Kaan Kçsln
，
Makes me wanna go and solve the Riemann hypothesis。
Veronika Sebechlebská
，
Asi mi to nikto nebude veriť， ale toto bola najnapínavejšia knižka， akú som tento rok čítala
Naz
，
Loved it。 I understood how professional mathematicians go about their work。 Tremendously useful read。 I would even say that if you are planning to study mathematics at a university， certainly read this！
Alvaro Fuentes
，
Excepcional， de esos libros que no te permiten parar。 De manera entretenida du Sautoy nos lleva por el mundo de los números primos y muchas de las historias de las figuras matemáticas claves en el estudio de éstos números， los protagonistas no son tanto los número primos， como son aquellos que han dedicado su vida a entenderlos， se narran los éxitos y fracasos de gigantes cómo Gauss， Riemann， Rammanujan， Hilbert entre otros muchos matemáticos del siglo XX。 El villano indestructible de esta histo Excepcional， de esos libros que no te permiten parar。 De manera entretenida du Sautoy nos lleva por el mundo de los números primos y muchas de las historias de las figuras matemáticas claves en el estudio de éstos números， los protagonistas no son tanto los número primos， como son aquellos que han dedicado su vida a entenderlos， se narran los éxitos y fracasos de gigantes cómo Gauss， Riemann， Rammanujan， Hilbert entre otros muchos matemáticos del siglo XX。 El villano indestructible de esta historia es a la vez el héroe: La Hipótesis de Riemann。 El mejor libro de divulgación matemática que me he leído。 。。。more
Jaimeoka
，
4。0
Taylor Ellwood
，
This is another fascinating history of mathematics， which explores the efforts of various people to solve the Riemann Hypothesis and map out the primes。 I fund the presentation of the material to be engaged and enjoyed learning more about mathematics and how the work done around Primes has had such a pivotal role in our lives and in the technology we have access too。
Alessandro Bertole'
，
For the appasionate of the maths and the fascinating world of prime numbers
Jordi Solis Calancha
，
Very nice history about prime numbers。 Riemann hypothesis is not easy to explain it and more difficult to understand it。 It's a pity that the demonstration was lost。。。 Very nice history about prime numbers。 Riemann hypothesis is not easy to explain it and more difficult to understand it。 It's a pity that the demonstration was lost。。。 。。。more
Chris Mead
，
I think the analogies used in this book actually obfuscate the riemann hypothesis。 At points I was trying to imaging maps and where my north/south or east/west lines were and then remembering where I needed to look to get different complex numbers and imagine their points at sea level。。。 The root of the problem is so much simpler， at least to state， than this book lays out。 Anyone with the desire to learn about the maths here will understand those statements which makes me think the analogies ar I think the analogies used in this book actually obfuscate the riemann hypothesis。 At points I was trying to imaging maps and where my north/south or east/west lines were and then remembering where I needed to look to get different complex numbers and imagine their points at sea level。。。 The root of the problem is so much simpler， at least to state， than this book lays out。 Anyone with the desire to learn about the maths here will understand those statements which makes me think the analogies are unnecessary as well as confusing。Beyond that， the stories of the mathematicians laying the groundwork toward and around the hypothesis was fascinating and I enjoyed learning about each of them which saved the book for me。 。。。more
Laura
，
"Un libro meraviglioso， enormemente godibile！"Come non essere d'accordo con Oliver Sacks？ L'enigma dei numeri primi è davvero un libro estremamente interessante che non annoia mai。 In questo saggio viene ripercorsa la storia della nascita di una delle più importanti congetture matematiche， ossia l'ipotesi di Riemann， tuttora irrisolta。 In questa storia fanno la loro comparsa tantissime personalità di spicco del mondo della Matematica， da Gauss fino a Grothendieck。 L'autore non si è limitato a de "Un libro meraviglioso， enormemente godibile！"Come non essere d'accordo con Oliver Sacks？ L'enigma dei numeri primi è davvero un libro estremamente interessante che non annoia mai。 In questo saggio viene ripercorsa la storia della nascita di una delle più importanti congetture matematiche， ossia l'ipotesi di Riemann， tuttora irrisolta。 In questa storia fanno la loro comparsa tantissime personalità di spicco del mondo della Matematica， da Gauss fino a Grothendieck。 L'autore non si è limitato a descrivere i progressi matematici raggiunti nella scalata al monte Riemann， ma ha raccontato le vicende umane che li hanno accompagnati， vicende che spesso erano particolarmente stravaganti （stiamo sempre parlando di matematici/che）。È sconvolgente scoprire quante applicazioni della teoria dei numeri facciano parte della nostra vita quotidiana， e soprattutto quanto sia essenziale il mistero che avvolge i numeri primi per la nostra stessa sicurezza。 Da studentessa di Matematica ammetto di essere di parte: il mondo dei numeri mi affascina moltissimo e la teoria dei numeri è una branca della matematica che mi attira molto。Penso comunque che questo libro possa essere letto con passione da chiunque sia realmente interessat* all'argomento， a prescindere dal percorso di studi scelto o dal proprio lavoro。 Ammetto che la prima volta che provai a leggerlo （prima di iscrivermi alla facoltà di Matematica） lo abbandonai dopo i primi due capitoli， quindi non so dire oggettivamente se possa essere gradevole per tutt*。 Ma alla fine della lettura si è inevitabilmente catapultat* in quell'universo fantastico che è il mondo della Matematica， lasciandoci con la curiosità di approfondirlo o perlomeno con tanta ammirazione。 。。。more
Kate
，
Even though it was clear from the very beginning that the book would be about the Riemann Hypothesis， the author very slowly unravelled what the Riemann Hypothesis is。 On one hand， it was excellent， as it gave a reader a solid background about the topic， but on the other hand the initial slow pace of the book was slightly annoying。 After explaining what the book was about， the futile struggle with proving the Hypothesis was described。
Jose
，
Increíble viaje de la historia de los números。
Lou
，
I enjoyed the book。 I would have rated it higher if the explanations of the concepts were a bit more detailed。 The story of the Reimann Hypothesis， and its progression through Europe and the US over time was clear and easily understood and interesting to read。 In my opinion， the detail of the math involved was written for someone with a mathematics background; written like the background was understood by the reader。 I have degrees in engineering， but I am not a mathematician。 I would have like I enjoyed the book。 I would have rated it higher if the explanations of the concepts were a bit more detailed。 The story of the Reimann Hypothesis， and its progression through Europe and the US over time was clear and easily understood and interesting to read。 In my opinion， the detail of the math involved was written for someone with a mathematics background; written like the background was understood by the reader。 I have degrees in engineering， but I am not a mathematician。 I would have like more thorough explanations of the math itself。 。。。more
Ahmad Hesham
，
The book is certainly very interesting， although I should note that it is somehow similar to "Men of Mathematics，" by Eric Bell （or something like that。） The focus --sometimes-- gets shifted from the primes to personal lives and struggles of mathematicians working on them。 Now， this is not to say that the book is "bad" or anything， it is quite the exact opposite; I absolutely loved it！ The book is certainly very interesting， although I should note that it is somehow similar to "Men of Mathematics，" by Eric Bell （or something like that。） The focus --sometimes-- gets shifted from the primes to personal lives and struggles of mathematicians working on them。 Now， this is not to say that the book is "bad" or anything， it is quite the exact opposite; I absolutely loved it！ 。。。more
Harry Vincent
，
7。5/10
Siddharth Shankar
，
Well explained foundations of prime number and also its relation to music theory。 Brings out the artistic and scientific forms of maths in the best possible way。 Discusses many different perspective of looking at the Riemann hypothesis and also different approaches to solve it。
Thomas Dalcolle
，
Valuable historical and anecdotal narration of the struggle about primes， shallow mathematical insight。
Pablo Prieri
，
Fascinating book about one of the greatest unsolved mathematical mysteries， I liked every piece of this thrilling journey。 The “music of the primes” is an accurate title of you can expect to encounter in this book， Math&History with a little of music， the authors traces a beautiful analogy between the Riemann hypothesis and the world of music
Reference
google book https://www.google.com/search?tbm=bks&q=The Music of the Primes
hathitrust digital library https://babel.hathitrust.org/cgi/ls?q1=The Music of the Primes&field1=ocr&a=srchls&ft=ft&lmt=ft