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Sets for Mathematics Book

Sets for Mathematics
Sets for Mathematics, Advanced undergraduate or beginning graduate students need a unified foundation for their study of mathematics. For the first time in a text, this book uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematic, Sets for Mathematics has a rating of 3.5 stars
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Sets for Mathematics, Advanced undergraduate or beginning graduate students need a unified foundation for their study of mathematics. For the first time in a text, this book uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematic, Sets for Mathematics
3.5 out of 5 stars based on 2 reviews
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  • Sets for Mathematics
  • Written by author F. William Lawvere
  • Published by Cambridge University Press, January 2003
  • Advanced undergraduate or beginning graduate students need a unified foundation for their study of mathematics. For the first time in a text, this book uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematic
  • For the first time in a textbook, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
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Book Categories

Authors

Foreword
Contributors to Sets for Mathematics
1Abstract Sets and Mappings1
2Sums, Monomorphisms, and Parts26
3Finite Inverse Limits48
4Colimits, Epimorphisms, and the Axiom of Choice78
5Mapping Sets and Exponentials96
6Summary of the Axioms and an Example of Variable Sets111
7Consequences and Uses of Exponentials120
8More on Power Sets136
9Introduction to Variable Sets154
10Models of Additional Variation167
App. ALogic as the Algebra of Parts193
App. BThe Axiom of Choice and Maximal Principles220
App. CDefinitions, Symbols, and the Greek Alphabet231
Bibliography253
Index257


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Sets for Mathematics, Advanced undergraduate or beginning graduate students need a unified foundation for their study of mathematics. For the first time in a text, this book uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematic, Sets for Mathematics

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Sets for Mathematics, Advanced undergraduate or beginning graduate students need a unified foundation for their study of mathematics. For the first time in a text, this book uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematic, Sets for Mathematics

Sets for Mathematics

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Sets for Mathematics, Advanced undergraduate or beginning graduate students need a unified foundation for their study of mathematics. For the first time in a text, this book uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematic, Sets for Mathematics

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