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A Pathway Into Number Theory [Paperback]

R. P. Burn
4.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

December 28, 1996 0521575400 978-0521575409 2
Number theory is concerned with the properties of the natural numbers: 1,2,3,.... During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today, the results of extensive numerical work are instantly available and mathematicians may traverse the road leading to their discoveries with comparative ease. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern high school course in mathematics is sufficient background for the whole book which, as a whole, is designed to be used as an undergraduate course in number theory to be pursued by independent study without supporting lectures.

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Editorial Reviews

Review

'I'm pleased to report there is a new edition of R. Burn's A Pathway into Number Theory, a book that takes readers quickly and painlessly from simple facts about whole numbers to the wonders of the quadratic forms, Pell's equation and Minkowski's theorem.' Ian Stewart, New Scientist

'... admirably suitable for those meeting number theory for the first time and for unsupported individual study.' Nick Lord, The Mathematical Gazette

Book Description

Now in its second edition, this book consists of a sequence of exercises that will lead readers from simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A high-school course in mathematics is the only requirement.

Product Details

  • Paperback: 280 pages
  • Publisher: Cambridge University Press; 2 edition (December 28, 1996)
  • Language: English
  • ISBN-10: 0521575400
  • ISBN-13: 978-0521575409
  • Product Dimensions: 9.1 x 5.9 x 0.8 inches
  • Shipping Weight: 15.5 ounces (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,879,686 in Books (See Top 100 in Books)

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11 of 12 people found the following review helpful
4.0 out of 5 stars Burn uses problems to introduce number theory ideas. November 24, 1998
Format:Paperback
This book is a carefully sequenced set of problems along with answers and a few comments. Burn uses those problems to introduce important number theory ideas. I enjoyed working through the problems to learn more about number theory. Most problems are accessible to those with a good high school mathematics background.
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