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The Concept of a Riemann Surface [Paperback]

Hermann Weyl , Gerald R. MacLane

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Book Description

Mar 26 2009 0486470040 978-0486470047 3rd edition
This classic on the general history of functions was written by one of the 20th century's best-known mathematicians. Weyl combined function theory and geometry in this high-level landmark work, forming a new branch of mathematics and the basis of the modern approach to analysis, geometry, and topology. 1955 edition.

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Amazon.com: 4.0 out of 5 stars  4 reviews
3.0 out of 5 stars Prepare before coming here but look elsewhere Feb 1 2013
By Raghuram Krishnaswamy - Published on Amazon.com
Format:Paperback
Well, as Prof Weyl says, it's a Riemann Surface he wants to talk to you about. Now that's saying a lot. Just remember people like Schrodinger and Einstein had people like Weyl and Grossman teach them about such surfaces. So it's not for the faint hearted (my heart and mind caved in to look elsewhere)

I have many reservations reading stuff that good Prof has put out. First is his very old fashioned symbolism. Extremely Archaic and looks like a cross between Arabic and Gothic. Its quite nonsensical to use all those gothic stuff and bold to the point where you are distracted from learning and trying to comprehend fonts!

Point two is prepare the following before you can even come within sniffing distance of the book.

1. Calculus and Analysis (Start (and end) with Courant and John Vol 1)
2. Complex Analysis (Try the cheap Richard Silverman edition by Dover)
3. Differential Equations (Ordinary and Partial)
4. Open this book.....and best of luck poring all those symbols only Weyl enjoyed using. Even the great Pauli found his symbols "thick as lipstick that one has to rub away before one can understand it"

If this appears too much, leave it out of your cart. Better still, look elsewhere (If you are getting Da Carmo prepare yourself knowing a lot of Algebra of the Saunders MacLane kind)
21 of 78 people found the following review helpful
5.0 out of 5 stars if you haven't hear of this then shoot yourself Dec 14 1999
By A Customer - Published on Amazon.com
Format:Hardcover
this is Weyl's famous exposition of the theory of Riemann surfaces in which the first satisfactory definition of an abstract Riemann Surface is discussed at length
7 of 49 people found the following review helpful
3.0 out of 5 stars I don't want to say it's a bad book Oct 9 2010
By David Tsal - Published on Amazon.com
Format:Paperback|Amazon Verified Purchase
Maybe it's excellent.

But I read its first paragraph and immediately saw that it's way beyond my understanding.

Can someone recommend a book which would prepare me for reading this one. My math knowledge includes all high school stuff, 2 years of calculus and some linear algebra.

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