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Glimpses of algebra and geometry/ Gabor Toth

By: Toth, GaborMaterial type: Text

TextSeries: (Undergraduate texts in mathematics)Publication details: New York: Springer, c2002Edition: 2nd edDescription: xxii, 450 p. : ill. ; 25 cmISBN: 0387953450Subject(s): Geometry | AlgebraDDC classification: 512.12

Contents:

1. "A number is a multitude composed of units"-Euclid -- 2." ... There are no irrational numbers at all"-Kronecker -- 3. Rationality, elliptic curves, and Fermat's last theorem -- 4. Algebraic or transcendental? -- 5. Complex arithmetic -- 6. Quadratic, cubic, and quantic equations -- 7. Stereographic projection -- 8. Proof of the fundamental theorem of algebra -- 9. Symmetries of regular polygons -- 10. Discrete subgroups of Iso (R²) -- 11. Möbius geometry -- 12. Complex linear fractional transformations -- 13. "Out of nothing I have created a new universe"-Bolyai -- 14. Fuchsian groups -- 15. Riemann surfaces -- 16. General surfaces -- 17. The five platonic solids -- 18. Finite Möbius groups -- 19. Detour in topology: Euler-Poincaré characteristic -- 20. Detour in graph theory: Euler, Hamilton, and the four color theorem -- 21. Dimension leap -- 22. Quaternions -- 23. Back to R³! -- 24. Invariants -- 25. The Icosahedron and the unsolvable quintic -- 26. The fourth dimension -- Appendixes: -- A. Sets -- B. Groups -- C. Topology -- D. Smooth maps -- E. The hypergeometric differential equation and the Schwarzian -- F. Galois theory.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	512.12 GAB/G (Browse shelf(Opens below))	Available		P25384

Total holds: 0

1. "A number is a multitude composed of units"-Euclid --
2." ... There are no irrational numbers at all"-Kronecker --
3. Rationality, elliptic curves, and Fermat's last theorem --
4. Algebraic or transcendental? --
5. Complex arithmetic --
6. Quadratic, cubic, and quantic equations --
7. Stereographic projection --
8. Proof of the fundamental theorem of algebra --
9. Symmetries of regular polygons --
10. Discrete subgroups of Iso (R²) --
11. Möbius geometry --
12. Complex linear fractional transformations --
13. "Out of nothing I have created a new universe"-Bolyai --
14. Fuchsian groups --
15. Riemann surfaces --
16. General surfaces --
17. The five platonic solids --
18. Finite Möbius groups --
19. Detour in topology: Euler-Poincaré characteristic --
20. Detour in graph theory: Euler, Hamilton, and the four color theorem --
21. Dimension leap --
22. Quaternions --
23. Back to R³! --
24. Invariants --
25. The Icosahedron and the unsolvable quintic --
26. The fourth dimension --
Appendixes: --
A. Sets --
B. Groups --
C. Topology --
D. Smooth maps --
E. The hypergeometric differential equation and the Schwarzian --
F. Galois theory.

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