Number Theory, Volume 1: Tools and Diophantine Equations Contributor(s): Cohen, Henri (Author) |
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ISBN: 144192390X ISBN-13: 9781441923905 Publisher: Springer OUR PRICE: $56.99 Product Type: Paperback - Other Formats Published: November 2010 |
Additional Information |
BISAC Categories: - Mathematics | Number Theory - Mathematics | Number Systems - Mathematics | Counting & Numeration |
Dewey: 512.7 |
Series: Graduate Texts in Mathematics |
Physical Information: 1.5" H x 6.1" W x 9" (2.05 lbs) 650 pages |
Descriptions, Reviews, Etc. |
Publisher Description: The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques. |