Sets for Mathematics

Sets for Mathematics pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge Univ Pr
作者:Lawvere, F. W./ Rosebrugh, Robert
出品人:
页数:276
译者:
出版时间:2003-1
价格:$ 75.71
装帧:Pap
isbn号码:9780521010603
丛书系列:
图书标签:
  • 范畴论 
  • 数理逻辑 
  • 集合论 
  • 物理 
  • 数学基础 
  • 思维 
  • 哲学 
  • nemlophics 
  •  
想要找书就要到 图书目录大全
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

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.

具体描述

读后感

评分

评分

评分

评分

评分

用户评价

评分

评分

评分

评分

评分

本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

© 2025 book.wenda123.org All Rights Reserved. 图书目录大全 版权所有