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Rational points on elliptic curves

By: Contributor(s): Material type: TextTextLanguage: English Series: Undergraduate Texts in MathematicsPublication details: New york Springer verlag 1992Description: x, 281p. illISBN:
  • 0387978259 (HB)
Subject(s):
Contents:
1. Geometry and arithmetic 2. Points of finite order 3. The group of rational points 4. Cubic curves over finite fields 5. Integer points on cubic curves 6. Complex multiplication
Summary: The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate curriculum.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 517.58 SIL (Browse shelf(Opens below)) Available 28712

Includes index

Includes bibliography (p. 259-262) and references

1. Geometry and arithmetic
2. Points of finite order
3. The group of rational points
4. Cubic curves over finite fields
5. Integer points on cubic curves
6. Complex multiplication

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate curriculum.

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The Institute of Mathematical Sciences, Chennai, India