A Gateway to Number Theory Applying the Power of Algebraic Curves |
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| Author:
| Kendig, Keith |
| Series title: | Dolciani Mathematical Expositions Ser. |
| ISBN: | 978-1-4704-5622-1 |
| Publication Date: | Jun 2021 |
| Publisher: | American Mathematical Society
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| Imprint: | MAA Press |
| Book Format: | Paperback |
| List Price: | USD $59.00USD $59.00 |
Book Description:
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Challenge: Can you find all the integers $a$, $b$, $c$ satisfying $2a^{{2}} + 3b^{{2}} = 5c^{{2}}$? Looks simple, and there are in fact a number of easy solutions. But most of them turn out to be anything but obvious! A major advance in number theory means this book can give an easy answer to this and countless similar questions.
Challenge: Can you find all the integers $a$, $b$, $c$ satisfying $2a^{{2}} + 3b^{{2}} = 5c^{{2}}$? Looks simple, and there are in fact a number of easy solutions. But most of them turn out to be anything but obvious! A major advance in number theory means this book can give an easy answer to this and countless similar questions.