Nicht aus der Schweiz? Besuchen Sie lehmanns.de
Glimpses of Algebra and Geometry - Gabor Toth

Glimpses of Algebra and Geometry

(Autor)

Buch | Hardcover
450 Seiten
2002 | 2nd ed. 2002
Springer-Verlag New York Inc.
978-0-387-95345-8 (ISBN)
CHF 119,80 inkl. MwSt
Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra. This title contains an insert with 4-color illustrations. It also includes numerous examples and worked-out problems.
Previous edition of this title was sold 2000 copies in 3 years. This title explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra. Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding. It contains an insert with 4-color illustrations. It also includes numerous examples and worked-out problems.

“A Number Is a Multitude Composed of Units”—Euclid.- “... There Are No Irrational Numbers at All”—Kronecker.- Rationality, Elliptic Curves, and Fermat’s Last Theorem.- Algebraic or Transcendental?.- Complex Arithmetic.- Quadratic, Cubic, and Quartic Equations.- Stereographic Projection.- Proof of the Fundamental Theorem of Algebra.- Symmetries of Regular Polygons.- Discrete Subgroups of Iso (R2).- Möbius Geometry.- Complex Linear Fractional Transformations.- “Out of Nothing I Have Created a New Universe”—Bolyai.- Fuchsian Groups.- Riemann Surfaces.- General Surfaces.- The Five Platonic Solids.- Finite Möbius Groups.- Detour in Topology: Euler-Poincaré Characteristic.- Detour in Graph Theory: Euler, Hamilton, and the Four Color Theorem.- Dimension Leap.- Quaternions.- Back to R3!.- Invariants.- The Icosahedron and the Unsolvable Quintic.- The Fourth Dimension.

Erscheint lt. Verlag 2.5.2002
Reihe/Serie Undergraduate Texts in Mathematics
Zusatzinfo 10 Illustrations, color; 47 Illustrations, black and white; XXII, 450 p. 57 illus., 10 illus. in color.
Verlagsort New York, NY
Sprache englisch
Maße 178 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-387-95345-0 / 0387953450
ISBN-13 978-0-387-95345-8 / 9780387953458
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich