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Mathematics Unlimited Hardcover – January 25, 2001

4.3 out of 5 stars 3 customer reviews

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Product Details

  • Hardcover: 1236 pages
  • Publisher: Springer; 2001 edition (January 25, 2001)
  • Language: English
  • ISBN-10: 3540669132
  • ISBN-13: 978-3540669135
  • Product Dimensions: 9.8 x 7.9 x 2.6 inches
  • Shipping Weight: 6.8 pounds
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #1,891,165 in Books (See Top 100 in Books)

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18 of 18 people found the following review helpful By Colin McLarty on April 1, 2002
Format: Hardcover Verified Purchase
Maybe you like the idea of this book but you are wondering, does it live up to the promise, will you actually read much of it, is it just too big? The answers are yes, probably yes, and no.
I've browsed maybe half of the chapters. Each one is clear, easy to skim through, with a lot to dig into if you want. So far I've found not one "book report" just summarizing recent work. I've found fascinating helpful interpretations of subjects I don't know -- and challenging positions on subjects that I have my own view of.
Of course you can find fault. The book leans more to applied math than I'd like. And what about functional analysis?
Overall, I am stunned to think I wavered on buying this. I almost passed it up. It would have been a big mistake.
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16 of 19 people found the following review helpful By Dr. Lee D. Carlson HALL OF FAMEVINE VOICE on March 17, 2001
Format: Hardcover
This book is a look to the future of mathematics based on the trends in mathematical thinking at the present time. I did not read all the articles in the book, so my review will be limited to those I did. The article "Experimental Mathematics" by D. Bailey and J. Borwein is an overview of a somewhat controversial activity in mathematics. This activity, characterized as "experimental" mathematics, has, the authors argue, enabled very interesting mathematical problems to be eventually solved. They outline in the article the recent discovery of how to calculate the the nth digit of Pi without computing any of the first n-1 digits without multiple-precision arithmetic and needing only low memory. The calculation scheme was based on a formula that was discovered by a computer, the first time this has happened.according to the authors. Experimental mathematics can be viewed as "real-time" discovery of mathematics, as well as letting us visualize the mathematical structures involved using computer graphics. Mathematicians interested in network modeling will appreciate the article by F. Kelly entitled "Mathematical Modeling of the Internet". Interestingly, his approach makes use of dynamical systems, with the goal of studying the behavior and stability of the TCP/IP protocol. The most interesting section of the article is the section on packet marking strategies. One can find surprising connections between strategies for packet marking, packet shaping, and network QoS, with techniques in option pricing from financial engineering. This is particularly true for frame relay networks. This connection was not discussed in Kelly's article, but I have found these connections in developing my own network models.Read more ›
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By Kenneth A. Perko, Jr. on June 18, 2014
Format: Hardcover Verified Purchase
An unwieldy anthology of topics of interest at the end of the Second Millennium. The German edition is much lighter.
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