The queen of mathematics : a historically motivated guide to number theory (Book, 2010) []
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The queen of mathematics : a historically motivated guide to number theory

Author: Jay R Goldman
Publisher: Boca Raton, FL : CRC Press, [2010] ©2004
Edition/Format:   Print book : EnglishView all editions and formats

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Document Type: Book
All Authors / Contributors: Jay R Goldman
ISBN: 1568810067 9781568810065
OCLC Number: 811645988
Notes: Originally published: Natick, Mass. : A.K. Peters, 1998.
"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."--Back cover.
Description: xxiv, 525 pages : illustrations ; 24 cm
Contents: pt. 1. From fermat to legendre: chap. 1. Founding fathers --
chap. 2. Fermat --
chap. 3. Euler --
chap. 4. From euler to lagrange; the theory of continued fractions --
chap. 5. Lagrange --
chap. 6. Legendre --
pt. 2. Gauss and the disquistiones arithmeticae: chap. 7. Gauss --
chap. 8. Theory of congruence1 --
chap. 9. Theory of congruences 2 --
chap. 10. Primitive roots and power residues --
chap. 11. Congruences of the second degree --
chap. 12. Binary quadratic forms 1: arithmetic theory --
chap. 13. Binary quadratic forms 2: geometric theory --
chap. 14. Cyclotomy --
pt. 3. Algebraic number theory: chap. 15. Algebraic number theory 1: the gaussian integers and biquadratic reciprocity --
chap. 16. Algebraic number theory 2: algebraic numbers and quadratic fields --
chap. 17. Algebraic number theory 3: ideals in quadratic fields --
pt. 4. Arthmetic on curves: chap. 18. Arithmetic on curves 1: rational points and plane algebraic curves --
chap. 19. Arithmetic on curves 2: rational points and elliptic curves --
chap. 20. Arithetic on curves 3: the twentieth century --
pt. 5. Miscellaneous topics: chap. 21. Irrational and transcendental numbers, diophantine approximation --
chap. 22. Geometry of numbers --
chap. 23. P-adic numbers and valuations.
Responsibility: Jay R. Goldman, School of Mathematics, University of Minnesota, Minneapolis, Minnesota.


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