Sets for Mathematics 2024 pdf epub mobi 電子書 下載


Sets for Mathematics

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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.

Sets for Mathematics 2024 pdf epub mobi 電子書 下載

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發表於2024-11-23

Sets for Mathematics 2024 pdf epub mobi 電子書 下載

Sets for Mathematics 2024 pdf epub mobi 電子書 下載

Sets for Mathematics 2024 pdf epub mobi 電子書 下載



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出版者:Cambridge Univ Pr
作者:Lawvere, F. W./ Rosebrugh, Robert
出品人:
頁數:276
譯者:
出版時間:2003-1
價格:$ 75.71
裝幀:Pap
isbn號碼:9780521010603
叢書系列:

圖書標籤: 範疇論  數理邏輯  集閤論  物理  數學基礎  思維  哲學  nemlophics   


Sets for Mathematics 2024 pdf epub mobi 電子書 下載
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