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Cover: 9780387953458 | Glimpses of Algebra and Geometry | Gabor Toth | Buch | XXII | Englisch
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Glimpses of Algebra and Geometry
Buch von Gabor Toth
Sprache: Englisch

72,30 €*

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Beschreibung
Previous edition sold 2000 copies in 3 years; 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: [...] Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problems
Previous edition sold 2000 copies in 3 years; 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: [...] Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problems
Zusammenfassung
Glimpses of Algebra and Geometry is intended for a "Bridge Course" that facilitates the transition between undergraduate and graduate studies. This new edition includes innumerable improvements throughout the text, including an in-depth treatment of root formulas, a detailed and complete classification of finite Mobius groups a la Klein, and a quick, direct, and modern approach to Felix Klein's "Normalformsatz."
Inhaltsverzeichnis
"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.
Details
Erscheinungsjahr: 2002
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: xxii
450 S.
47 s/w Illustr.
10 farbige Illustr.
450 p. 57 illus.
10 illus. in color.
ISBN-13: 9780387953458
ISBN-10: 0387953450
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Toth, Gabor
Auflage: 2nd ed. 2002
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 241 x 183 x 34 mm
Von/Mit: Gabor Toth
Erscheinungsdatum: 02.05.2002
Gewicht: 1,112 kg
Artikel-ID: 103867204
Zusammenfassung
Glimpses of Algebra and Geometry is intended for a "Bridge Course" that facilitates the transition between undergraduate and graduate studies. This new edition includes innumerable improvements throughout the text, including an in-depth treatment of root formulas, a detailed and complete classification of finite Mobius groups a la Klein, and a quick, direct, and modern approach to Felix Klein's "Normalformsatz."
Inhaltsverzeichnis
"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.
Details
Erscheinungsjahr: 2002
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: xxii
450 S.
47 s/w Illustr.
10 farbige Illustr.
450 p. 57 illus.
10 illus. in color.
ISBN-13: 9780387953458
ISBN-10: 0387953450
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Toth, Gabor
Auflage: 2nd ed. 2002
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 241 x 183 x 34 mm
Von/Mit: Gabor Toth
Erscheinungsdatum: 02.05.2002
Gewicht: 1,112 kg
Artikel-ID: 103867204
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