Glimpses of algebra and geometry/ Gabor Toth

By:

Toth, Gabor

Material type:

TextSeries: (Undergraduate texts in mathematics)Publication details: New York: Springer, c2002.Edition: 2nd edDescription: xxii, 450 p. : ill. ; 25 cmISBN:

0387953450

Subject(s):

DDC classification:

512.12 GAB/G

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
Cover image	Item type	Current library	Home library	Collection	Shelving location	Call number	Materials specified	Vol info	URL	Copy number	Status	Notes	Date due	Barcode	Item holds	Item hold queue priority	Course reserves
	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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