UID:
almahu_9947363381402882
Format:
XVII, 453 p.
,
online resource.
ISBN:
9789401132183
Series Statement:
Mathematics and Its Applications ; 70
Note:
1. Congruences -- 2. Quadratic forms -- 3. Division of the circle (cyclotomy) -- 4. Theory of surfaces -- 5. Harmonic analysis -- 6. Prime numbers in arithmetic progressions -- 7. Theory of algebraic equations -- 8. The beginnings of complex function theory -- 9. Entire functions -- 10. Riemann surfaces -- 11. Meromorphic differentials on closed Riemann surfaces -- 12. The theorems of Abel and Jacobi -- 13. Elliptic functions -- 14. Riemannian geometry -- 15. On the number of primes less than a given magnitude -- 16. The origins of algebraic number theory -- 17. Field theory -- 18. Dedekind’s theory of ideals -- 19. The ideal class group and the group of units -- 20. The Dedekind ?-function -- 21. Quadratic forms and quadratic fields -- 22. The different and the discriminant -- 23. Theory of algebraic functions of one variable -- 24. The geometry of numbers -- 25. Normal extensions of algebraic number- and function fields -- 26. Entire functions with growth of finite order -- 27. Proof of the prime number theorem -- 28. Combinatorial topology -- 29. The idea of a Riemann surface -- 30. Uniformisation -- Appendix 1. Rings -- A1.1 Basic ring concepts -- A1.2 Euclidean rings -- A1.3 The characteristic of a ring -- A1.4 Modules over euclidean rings -- Al.5 Construction of fields -- A1.6 Polynomials over fields -- Appendix 2. Set theoretic topology -- A2.1 Definition of a topological space -- A2.2 Compact spaces -- Appendix 3. Green’s theorem -- Appendix 4. Euclidean vector and point spaces -- Appendix 5. Projective spaces -- Name index -- General index.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9780792312383
Language:
English
DOI:
10.1007/978-94-011-3218-3
URL:
http://dx.doi.org/10.1007/978-94-011-3218-3
