The queen of mathematics : a historically motivated guide to number theory /
This book takes the unique approach of examining number theory as it developed from the 17th through 19th centuries, leading to an understanding of today's research problems on the basis of their historical evolution. With its historical framework and narrative style, Goldman's book makes...
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| Format: | eBook |
| Language: | English |
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Wellesley, Mass. :
A.K. Peters,
©1998.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- From fermat to legendre
- Founding fathers
- Fermat
- Euler
- From euler to lagrange; the theory of continued fractions
- Lagrange
- Legendre
- Gauss and the disquistiones arithmeticae
- Gauss
- Theory of congruence1
- Theory of congruences 2
- Primitive roots and power residues
- Congruences of the second degree
- Binary quadratic forms 1: arithmetic theory
- Binary quadratic forms 2: geometric theory
- Cyclotomy
- Algebraic number theory
- Algebraic number theory 1: the gaussian integers and biquadratic reciprocity
- Algebraic number theory 2: algebraic numbers and quadratic fields
- Algebraic number theory 3: ideals in quadratic fields
- Arthmetic on curves
- Arithmetic on curves 1: rational points and plane algebraic curves
- Arithmetic on curves 2: rational points and elliptic curves
- Arithetic on curves 3: the twentieth century
- Miscellaneous topics
- Irrational and transcendental numbers, diophantine approximation
- Geometry of numbers
- P-adic numbers and valuations.