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Modern Algebra and the Rise of Mathematical Structures

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Cover of 'Modern Algebra and the Rise of Mathematical Structures'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction: Structures in Mathematics
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    Chapter 2 Structures in Algebra: Changing Images
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    Chapter 3 Richard Dedekind: Numbers and Ideals
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    Chapter 4 David Hilbert: Algebra and Axiomatics
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    Chapter 5 Concrete and Abstract: Numbers, Polynomials, Rings
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    Chapter 6 Emmy Noether: Ideals and Structures
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    Chapter 7 Oystein Ore: Algebraic Structures
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    Chapter 8 Nicolas Bourbaki: Theory of Structures
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    Chapter 9 Category Theory: Early Stages
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    Chapter 10 Categories and Images of Mathematics
Attention for Chapter 4: David Hilbert: Algebra and Axiomatics
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