Gamma by Julian Havil

Gamma

Among the many constants that appear in mathematics, π, e, and i are the most familiar. Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathemat...


Details Gamma

TitleGamma
ISBN9780691099835
Author
Release DateApr 6th, 2003
PublisherPrinceton University Press
LanguageEnglish
GenreScience, Mathematics, Nonfiction, History, Popular Science
Rating

Reviews Gamma

  • Yasiru (reviews will soon be removed and linked to blog)
    1970-01-01
    Still a favourite of mine, this is perhaps the best 'popular' maths book I've yet come across. I feel the existence of such accounts is something of a niche in mathematics, since most popular books on subjects like physics tend to be largely descriptive and deliberately avoid actual results and derivations for fear of becoming inaccessible. As with Havil's text here, and others like Dunham's, Maor's, Nahin's, et al. however, in mathematics compar...
  • Kelly Novak
    1970-01-01
    A rare in-depth look at the gamma constantI was hoping to find a book that went further into the rabbit hole of the gamma constant than most books. It pops up in many places, but why? Here, Havil goes further than I expected, and is easy to follow. He also remains entertaining while doing so.And it is always interesting to end up with my favorite subject, the Riemann Hypothesis. My friends sometimes tease me for reading books on math and the Riem...
  • Jose Moa
    1970-01-01
    With the excuse of the gamma Euler constant,this book gives a very kind introduction to the gamma or generaliced factorial function ,to the z function and a brief introduction to de difficult subject of the analytic number theory.The book is full of striking results,and in a appendix gives a notions of complex variable,all understable with the mathematical maturity and backgrund of high school mathematics
  • Michael Davis
    1970-01-01
    heavier than I expected, but I am loving it.
  • Pelle
    1970-01-01
    I enjoyed the book, having studied and never really (at least not conciously) encountered the constant gamma. The author starts off with the history of the logarithm, the harmonic series and reaches after that the discovery of gamma. From here on, the journey continues to prime number and the Riemann assumption. The content is very technical which the author warns about right in the introduction, why I would only recommend to people having studie...
  • Andrew Davis
    1970-01-01
    We are introduced to Zeta function introduced by Euler in 1734, also known as Basel Problem. We then proceed to gamma constant and Gamma function, explored by Euler as well. In the second part of the book we move to Prime numbers and Euler's contribution to discipline of mathematics. No wonder Euler is considered as one of the best mathematicians ever.
  • Mark Moon
    1970-01-01
    I read this on vacation earlier this year. Strikes a good balance between popular appeal and technical detail. Lots of fun.
  • Eric S
    1970-01-01
    This book is a 5 on content and quality. I gave it a 4 because I didn't like it that much.
  • Douglas
    1970-01-01
    At the time this book came out, I was going through parts of Whittaker's famous "Modern Analysis". This book was written when mathematicians still "did" mathematics. They got their hands dirty. They didn't immediately seek full generalization. While mathematics will always possess what looks to the layman like hieroglyphic notation, the notation employed in Whittaker's book reminds us that it is to be an aid to thought, not an impediment or a pyr...
  • Nick
    1970-01-01
    I've read this book twice now. It's quite good.Some tidbits:p.32-33 Kempner series = Harmonic series with those terms whose denominators having a fixed digit dropped (e.g. only sum reciprocals of numbers without a '7' in them). This is bounded by geometric series, and therefore converges.p.39 Fun proof of sum of reciprocal squares = pi^2 / 6, appropriate for calc class, once you know Taylor series for sin.p. 44-45 \int_0^1 1/(x^x) dx = \sum_n=0^{...
  • Bill H
    1970-01-01
    Not gonna lie: I admit I skimmed over most of the mathematical detail in favor of the historical context I was really looking for. But I got enough out of it to have at least an interesting conversation or two on the Bolzano–Weierstrass theorem and Benford's Law (that's a fun one!) and some other odds and ends. Not really a general-audience publication, really, though.
  • Peter Flom
    1970-01-01
    A look at Euler's constant from many directions. Requires a knowledge of calculus for full enjoyment
  • Matt Jarvis
    1970-01-01
    I found this book quite difficult, but it was a very engaging read none the less and exposed me to some areas of mathematics that I have not seen before, and am now eager to explore!
  • Scott Morrison
    1970-01-01
    THe maths really was a bit complex for a light read, interesting, but not as good as others like it.
  • Charles Eliot
    1970-01-01
    An unexpectedly wonderful romp through the wonderful world of number theory. If you've every been enthralled by numbers - even for a moment - this book will bring back that joy.