英文原版 Introduction to Analysis 数学分析导论 英文版 进口英语原版书籍
书籍内容简介可联系客服查阅，查书找书开票同样可以联系客服
￥ 128 ￥ 128 九五品
仅1件
广东广州
认证卖家担保交易快速发货售后保障
作者Rosenlicht, Maxwell
出版社Dover Publications
ISBN9780486650388
出版时间1985-02
装帧平装
定价128元
货号YB-39426
上书时间2023-05-28
- 最新上架
商品详情
- 品相描述：九五品
- 商品描述
-
内容摘要
This well-written text provides excellent instruction in basic real analysis, giving a solid foundation for direct entry into advanced work in such fields as complex analysis, differential equations, integration theory, and general topology. The nominal prerequisite is a year of calculus, but actually nothing is assumed other than the axioms of the real number system. Because of its clarity, simplicity of exposition, and stress on easier examples, this material is accessible to a wide range of students, of both mathematics and other fields. Chapter headings include notions from set theory, the real number system, metric spaces, continuous functions, differentiation, Riemann integration, interchange of limit operations, the method of successive approximations, partial differentiation, and multiple integrals. Following some introductory material on very basic set theory and the deduction of the most important properties of the real number system from its axioms, Professor Rosenlicht gets to the heart of the book: a rigorous and carefully presented discussion of metric spaces and continuous functions, including such topics as open and closed sets, limits and continuity, and convergent sequence of points and of functions. Subsequent chapters cover smoothly and efficiently the relevant aspects of elementary calculus together with several somewhat more advanced subjects, such as multivariable calculus and existence theorems. The exercises include both easy problems and more difficult ones, interesting examples and counter examples, and a number of more advanced results. Introduction to Analysis lends itself to a one- or two-quarter or one-semester course at the undergraduate level. It grew out of a course given at Berkeley since 1960. Refinement through extensive classroom use and the author’s pedagogical experience and expertise make it an unusually accessible introductory text.
相关推荐
— 没有更多了 —
以下为对购买帮助不大的评价