(Mathematics The New Golden Age) EBOOK/PDF Ø Keith J. Devlin

Enerating polynomial discovered in 1977 is also explained This is followed by couple of very nice chapters about some fundamental concepts and results in topology where the author manages to beautifully explain in a clear and precise manner fundamental concepts such as the topological invariants represented by the Euler characteristic and orientability A beautiful introduction to the theory of manifolds including concepts such as associated differentiation structures is also a real enjoyment to read Mind blowing facts such as the peculiar richness and complexity of the 4 dimensional space as opposed to all other dimensional situations are also presented beautifully By the way the color problem is also nicely treated The final two chapters nothing color problem is also nicely treated The final two chapters are nothing particular brilliance but decently ood anyway they explain Fermat s last theorem and some introductory concepts about the efficiency of algorithmsOverall a pretty Chicago Neighborhoods and Suburbs: A Historical Guide good introductory overview of some selected recent developments in modern maths targeted at the competent amateur with some prettyood chapters 4 star This is a book I read mostly just for fun as well as to understand about how interest in mathematics can be developed in hound studentsAlthough I have some Citrus: A History grasp and appreciation of elementary mathematics having done the obligatory 10000 hours to be on us team for the international math olympiad and continued with a few math courses toet a degree in math from mit I was thoroughly impressed with just how powerful the modern mathematical accomplishments are It s like someone who has done some bouldering learning about ascent of K2 the current achievements are vast in scope and depth The author does a fantastic job of brining those to life helping you appreciate 5000 page proofs classifying simple Building the South Side: Urban Space and Civic Culture in Chicago, 1890-1919 groups providinglimmers of approach to solving Fermat s last theorem And Giving One A Flavor Of How giving one a flavor of how number theory is the exposition about e pi srt163 still surprises me there is no reason that I understand that a number as small as that should Cite Right: A Quick Guide to Citation Styles--MLA, APA, Chicago, the Sciences, Professions, and More get you within 12 decimal places of an integer in that formula see Wikipedia entry in 163 for a bit Incidentally the recentrowth in both population wealth and communication have combined to produce a crop of mathematicians who may well be as Classic Rough News good as thereats of earlier centuries who had to work alone and split their time between pure math and other endeavors as eg in Laplace s caseIt s true that reading this book provides just a Class and Conformity: A Study in Values - With a Reassessment (Midway Reprint) glimpse over the fence you will not be able to understand any of the big proofs in their completeness after this just as reading an interview with Kasparov will allow you to fully appreciate his chessames But just as parkour or beatbox videos simply reading this book is apt to make the reader feel that we live in a world where exceptional people can pull off jaw dropping awe inspiring stuntsHighly recommended as a dose of optimism about human potential 1010 Un libro che riesce a descrivere perfettamente la bellezza della matematica. Lly accessible In this book he offers a limpse of the extraordinary vistas and bizarre universes opened up by contemporary mathemati. ,

Onveying the fascinating and sometime totally unexpected inter connectedness between apparently unrelated fields in mathematics Moreover the author s love for mathematics as something not just extremely useful to progress but inherently beautiful and fun is visible and contagious What I like about this book is also that it oes into the math to a much significant extent about this book is also that it Common People: The History of An English Family goes into the math to a much significant extent most popular science books yet managing to keep things at a level sufficiently easy to understand The target audience is the competent maths amateur interested in the relatively recent say after WWII developments in higher mathematicsThe only issue I have is that the author in some casesets so infuriatingly and tantalizingly close to the actual details of a major result and then it just closes with the statement the full result can only be understood by specialists The resulting frustration is compounded by the fact that the bibliographic references are very limited and unsatisfactory But this is a minor fault Let s et into the actual contents of this book after an initial introductory chapter about prime numbers and number theory there is a pretty nice chapter still at pretty introductory level unfortunately about axiomatic set theory and Cantor s famous continuum problem To be honest I was expecting detail here for example when talking about axiomatic continuum problem To be honest I was expecting detail here for example when talking about axiomatic theories such as Zermelo Fraenkel the axiom of choice is not discussed and the axioms of the ZF theory itself are not discussed either Real pity as we are dealing with the foundational basis of the whole of mathematics here There is then a section about complex numbers While complex numbers are explained in a reasonable way there is no complex analysis and the uaternions are touched only very briefly This is a real pity and a missed opportunity as complex analysis is one of the most beautiful as well as useful branches of Mathematics This is followed by a really nice chapter titled beauty from chaos which explains in a really beautiful and approachable way the concepts of fractional dimensions chaotic dynamics and the amazingly beauty of fractals The Menger Sponge D27268 an amazing object which has zero volume enclosed by an infinite surface area is also presented fractals are not just beautiful but also useful are not just beautiful but also useful we can see examples of fractals in in the realms of engineering electronics chemistry medicine even urban planning and public policy We have then another very enjoyable chapter about the critically important to science in eneral not just maths concept of symmetry and symmetry roups The author even manages to explain at conceptual level and in a very approachable way the classification theorem of finite simple roups The monster sporadic simple Composition and Literature: Bridging the Gap group consisting of complex matrices of order 196833 is also explained Galoisroups and the solution to the Creating Country Music: Fabricating Authenticity general uintic euation are also explained uite well There is then a very nice chapter about the famous Hilbert s Tenth Problem solution to Diophantine Euations The degree 25 prime Dr Devlin's television appearances and popular GUARDIAN column have revealed his remarkableift for making difficult topics beautifu. ,

Mathematics The New Golden AgeThis book sketches the beauty and wonders of mathematics This had a set of decent descriptions on the important open some are no open problems of mathematics The premise of the
was at least it appeared to me that the problems and proofs would be described in a pop science ok pop maths way to an average skilled mathematics enthusiast I m well aware that this is an impossible task So no wonder I ended up with having a little bit knowledge on the peripheral aspects of the problems and their proofs However the initial chapters were easily comprehensible But when it comes to advanced topology and number theory things started to o out of hand from me As mentioned somewhere in the book the open problems seem to be deceptively simple and very inviting to be examined only later to be realized how complex they are in factSo the book is uite OK if you are looking for the thrill of examining some tough problems without being insistent to understand them in detail In my opinion if you want to appreciate them for all the beauty then you need to o through the proper proof explained in the reference books This is a Contingent Lives: Fertility, Time, and Aging in West Africa great read for people with even the tiniest interest in mathematics It s precise and clearly written Niceeneral historical survey L anno scorso Bollati Boringhieri ha molto opportunamente ripubblicato la seconda edizione di uesto saggio di Keith Devlin il cui titolo inglese che fa pi o meno Matematica la nuova et dell oro molto pi incisivo Il testo racconta alcune scoperte matematiche avvenute tra il 1960 e il 1995 Occhei racconta un termine un po fuorviante purtroppo la matematica che si fa oggi troppo astratta per poter essere spiegata anche a chi ha una cultura universitaria di base figuriamoci a lettori acculturati s ma non certo specialisti del campo Tanto per dare un idea nell introduzione Devlin spiega che ha dovuto chiedere consulenze ad alcuni suoi colleghi uello che per Si Pu Fare E Che Devlin Ha pu fare e che Devlin ha egregiamente dare un idea di come si arrivati ai problemi trattati nel libro dare una spiegazione dell enunciato del problema cosa che non sempre cos facile come nel caso dell Ultimo Teorema di Fermat e infine raccontare uali sono state le linee di attacco che hanno infine portato alla soluzione Il risultato finale un bell affresco che permette al lettore di comprendere come l avanzamento della matematica non sia un azione continua e lineare ma proceda in un certo senso come le altre scienze per tentativi ed errori e nuove idee prese da rami a prima vista scorrelati La traduzione di Annarosa Giannetti Agnese Manassero e Laura Servidei eneralmente chiara anche per chi non ha una formazione matematica specifica peccato che nella riedizione non siano stati corretti alcuni refusi note to self KIV by the Stanford prof who just won the Carl Sagan Prize for popularizing science This book represents a compendium of some of the major development in modern higher mathematics in areas such as number theory topology roup theoryThis book is really ood at This lively and comprehensive new survey sets out to show just how mistaken people who think they can't enjoy mathematics really are.

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