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Glimpses of Algebra and Geometry

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Cover of 'Glimpses of Algebra and Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 “A Number Is a Multitude Composed of Units”—Euclid
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    Chapter 2 “... There Are No Irrational Numbers at All”—Kronecker
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    Chapter 3 Rationality, Elliptic Curves, and Fermat’s Last Theorem
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    Chapter 4 Algebraic or Transcendental?
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    Chapter 5 Complex Arithmetic
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    Chapter 6 Quadratic, Cubic, and Quartic Equations
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    Chapter 7 Stereographic Projection
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    Chapter 8 Proof of the Fundamental Theorem of Algebra
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    Chapter 9 Symmetries of Regular Polygons
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    Chapter 10 Discrete Subgroups of Iso (R 2 )
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    Chapter 11 Möbius Geometry
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    Chapter 12 Complex Linear Fractional Transformations
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    Chapter 13 “Out of Nothing I Have Created a New Universe”—Bolyai
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    Chapter 14 Fuchsian Groups
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    Chapter 15 Riemann Surfaces
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    Chapter 16 General Surfaces
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    Chapter 17 The Five Platonic Solids
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    Chapter 18 Finite Möbius Groups
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    Chapter 19 Detour in Topology: Euler-Poincaré Characteristic
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    Chapter 20 Detour in Graph Theory: Euler, Hamilton, and the Four Color Theorem
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    Chapter 21 Dimension Leap
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    Chapter 22 Quaternions
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    Chapter 23 Back to R 3 !
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    Chapter 24 Invariants
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    Chapter 25 The Icosahedron and the Unsolvable Quintic
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    Chapter 26 The Fourth Dimension
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5 Wikipedia pages
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2 Q&A threads

Citations

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mendeley
19 Mendeley
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Title
Glimpses of Algebra and Geometry
Published by
Springer Science & Business Media, April 2006
DOI 10.1007/b98964
ISBNs
978-0-387-22455-8, 978-0-387-95345-8
Authors

Toth, Gabor

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 19 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Mexico 1 5%
Canada 1 5%
Unknown 17 89%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 5 26%
Student > Ph. D. Student 4 21%
Professor 3 16%
Researcher 3 16%
Student > Master 1 5%
Other 2 11%
Unknown 1 5%
Readers by discipline Count As %
Mathematics 5 26%
Physics and Astronomy 4 21%
Engineering 2 11%
Agricultural and Biological Sciences 1 5%
Computer Science 1 5%
Other 5 26%
Unknown 1 5%