Sets for Mathematics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Lawvere, W.; Lawvere, F. W.; Rosebrugh, Robert 作者

譯者

2003-1 出版日期

276 頁數

$ 201.14 價格

叢書系列

9780521804448 圖書編碼

Sets for Mathematics 在線電子書圖書標籤: 範疇論數學基礎數學

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發表於2024-06-26

Sets for Mathematics 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Sets for Mathematics 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Sets for Mathematics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Sets for Mathematics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Sets for Mathematics 在線電子書圖書描述

Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. For the first time in a text, this book uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematically and physically common phenomena and advancing to a precise specification of the nature of Categories of Sets. Set theory as the algebra of mappings is introduced and developed as a unifying basis for advanced mathematical subjects such as algebra, geometry, analysis, and combinatorics. The formal study evolves from general axioms which express universal properties of sums, products, mapping sets, and natural number recursion. The distinctive features of Cantorian abstract sets, as contrasted with the variable and cohesive sets of geometry and analysis, are made explicit and taken as special axioms. Functor categories are introduced in order to model the variable sets used in geometry, and to illustrate the failure of the axiom of choice. An appendix provides an explicit introduction to necessary concepts from logic, and an extensive glossary provides a window to the mathematical landscape.

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