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Two Millennia of Mathematics: From Archimedes to Gauss
 
 

Two Millennia of Mathematics: From Archimedes to Gauss [Hardcover]

George M. Phillips
5.0 out of 5 stars  See all reviews (1 customer review)
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"In an ideal university the staff would supplement the standard courses by offering lectures in which they talked about topics which they particularly loved at a level which the students could understand. And, in an ideal university, the students would flock to such lectures.
George Phillips' book consists of five short courses to be given at our ideal university. As the title is intended to suggest, the topics are treated with due respect for their history and all have their roots in the works of Gauss or earlier mathematicians. The level chosen is that of a first or second year student and the exposition uses the relaxed "explanation, theorem, proof"style of the best colloquium talks."
London Mathematical Society Newsletter, October 2001


"In five chapters (From Archimedes to Gauss, Logarithms, Interpolation, Continued fractions, More number theory), the author shows that many interesting and important results in mahtematics have been discovered by ordinary people and not onl by great geniuses. Each chapter includes the history of its topic with an interpretation of the mathematical problems. The book shows how and why some results in mathematics have been discovered or obtained, by following the steps of well-known mathematicians who discovered them. It is a useful source of mathematical material for teachers, undergraduate students, students and the vast numbers of amateurs who love mathematics."
European Mathematical Society Newsletter, Issue 41, September 2001

Book Description

A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.

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First Sentence
Archimedes will be remembered when Aeschylus is forgotten because languages die and mathematical ideas do not. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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5.0 out of 5 stars Math motivated by history, Jun 25 2003
By 
Carl F. Mclaren Jr. (Haines City, Florida USA) - See all my reviews
(REAL NAME)   
This review is from: Two Millennia of Mathematics: From Archimedes to Gauss (Hardcover)
You might think this is a history of math book but it isn't, it's a math book where the 5 topics are subjects the author likes and he motivates the math via some history. You can "look inside" to see the topics, but what I believe to be the most important thing in a review of a math book is "who is this appropriate for ?". The answer in this case is a person with a math background like you would receive in a physics, chemistry, or engineering undergrad degree or a math major undergrad student. You will not be able to follow it without a certain mathematical maturity. I loved it because I'm a mathematician with an interest in these subjects which I have seen before. A more advanced book along the same lines is "Pi and the AGM". People looking for interesting math not requiring as much math background might like "Prime Obsession" or "The Golden Ratio".
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Amazon.com: 5.0 out of 5 stars (1 customer review)

5 of 5 people found the following review helpful
5.0 out of 5 stars Math motivated by history, Jun 24 2003
By Carl F. Mclaren Jr. - Published on Amazon.com
Amazon Verified Purchase(What's this?)
This review is from: Two Millennia of Mathematics: From Archimedes to Gauss (Hardcover)
You might think this is a history of math book but it isn't, it's a math book where the 5 topics are subjects the author likes and he motivates the math via some history. You can "look inside" to see the topics, but what I believe to be the most important thing in a review of a math book is "who is this appropriate for ?". The answer in this case is a person with a math background like you would receive in a physics, chemistry, or engineering undergrad degree or a math major undergrad student. You will not be able to follow it without a certain mathematical maturity. I loved it because I'm a mathematician with an interest in these subjects which I have seen before. A more advanced book along the same lines is "Pi and the AGM". People looking for interesting math not requiring as much math background might like "Prime Obsession" or "The Golden Ratio".
 Go to Amazon.com to see the review  5.0 out of 5 stars 
 
 
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