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n-gons
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Friedrich Bachmann
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Translated by:
Cyril Garner
Language:
English
Published/Copyright:
1975
About this book
This book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra.
Author / Editor information
Bachmann Friedrich :
Friedrich Bachmann (1909-1982) was at the Christian Albrechts University in Kiel.
Schmidt Eckart :Eckart Schmidt was at the Christian Albrechts University in Kiel.
Garner Cyril :Cyril W.L.Garner is a professor emeritus in the Department of Mathematics at Carleton University.
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Frontmatter
i -
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Contents
vii -
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Authors' preface
xi -
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Translator's preface
xiii -
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Summary of contents
xv -
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Introduction
1 - Part 1. Cyclic classes and cyclic mappings
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1. Cyclic classes of n-gons
13 -
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2. Cyclic mappings of n-gons
32 -
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3. Isobaric cyclic mappings
51 -
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4. Averaging mappings
60 - PART II. The main theorem
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5. Idempotent elements and Boolean algebras
69 -
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6. The main theorem about cyclic classes
81 - PART III. Boolean algebras of n-gonal theory
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7. Idempotent-transfer. Residue class rings of principal ideal domains
93 -
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8. Boolean algebras of the n-gonal theory I
104 -
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9. Boolean algebras of the n-gonal theory II
116 - PART IV. Atomic decompositions
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10. Rational components of an n-gon
131 -
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11. Complex components of an n-gon
141 -
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12. The real components of an n-gon
149 - Appendices
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1. Lattices
167 -
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2. Cyclotomic polynomials
179 -
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List of symbols and notations
187 -
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Index
189
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 15, 1975
eBook ISBN:
9781442656444
Pages and Images/Illustrations in book
Main content:
208
eBook ISBN:
9781442656444
Audience(s) for this book
College/higher education;Professional and scholarly;
