Cassels, J. W. S., Lectures on Elliptic Curves
E654587
"Cassels, J. W. S., Lectures on Elliptic Curves" is a classic introductory monograph that systematically develops the arithmetic theory of elliptic curves, widely used as a foundational text in number theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Cassels, J. W. S., Lectures on Elliptic Curves canonical | 1 |
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
monograph ⓘ textbook ⓘ |
| author | J. W. S. Cassels NERFINISHED ⓘ |
| contains |
exercises
ⓘ
theorems with proofs ⓘ worked examples ⓘ |
| emphasis |
Diophantine methods
ⓘ
arithmetic properties of elliptic curves ⓘ rational solutions to polynomial equations ⓘ |
| field |
arithmetic geometry
ⓘ
number theory ⓘ |
| focusesOn |
Diophantine equations
ⓘ
Mordell–Weil theorem NERFINISHED ⓘ arithmetic of elliptic curves ⓘ descent on elliptic curves ⓘ elliptic curves over number fields ⓘ heights on elliptic curves ⓘ rational points on elliptic curves ⓘ torsion points on elliptic curves ⓘ |
| genre | academic monograph ⓘ |
| influenced | later textbooks on elliptic curves ⓘ |
| intendedAudience |
graduate students in mathematics
ⓘ
researchers in number theory ⓘ |
| isConsidered | classic introduction to elliptic curves ⓘ |
| isUsedAs |
foundational text for arithmetic of elliptic curves
ⓘ
standard reference in number theory courses ⓘ |
| language | English ⓘ |
| level | introductory graduate ⓘ |
| mainSubject | elliptic curves ⓘ |
| prerequisite |
basic algebra
ⓘ
elementary number theory ⓘ some algebraic number theory ⓘ |
| reputation |
concise
ⓘ
rigorous ⓘ standard reference in arithmetic geometry ⓘ |
| structure | systematic development of arithmetic theory of elliptic curves ⓘ |
| topic |
Galois representations of elliptic curves
ⓘ
Weierstrass equations NERFINISHED ⓘ algebraic number theory ⓘ elliptic curves over the rationals ⓘ group law on elliptic curves ⓘ local fields and elliptic curves ⓘ reduction of elliptic curves modulo primes ⓘ |
| usedIn |
graduate seminars on elliptic curves
ⓘ
self-study by number theorists ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.