Schaum's Outline of General Topology

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Schaum's Outline of General Topology 作者：Seymour Lipschutz ISBN：9780071763479 版次：1 年份：2012 出版商：McGraw-Hill 頁數/規格：239頁/平裝單色 Description The ideal review for your general topology course More than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum’s Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice. 391 solved problems 356 supplementary problems Teaches effective problem-solving Outline format supplies a concise guide to the standard college courses in General Topology Supports and supplements the leading General Topology textbooks Detailed explanations and practice problems in general topology Comprehensive review of specialized topics in topology

LECTURE NOTES ON GENERAL TOPOLOGY

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This book is intended as a one-semester course in general topology, a.k.a. point-set topology, for undergraduate students as well as first-year graduate students. Such a course is considered a prerequisite for further studying analysis, geometry, manifolds, and certainly, for a career of mathematical research. Researchers may find it helpful especially from the comprehensive indices. General topology resembles a language in modern mathematics. Because of this, the book is with a concentration on basic concepts in general topology, and the presentation is of a brief style, both concise and precise. Though it is hard to determine exactly which concepts therein are basic and which are not, the author makes efforts in the selection according to personal experience on the occurrence frequency of notions in advanced mathematics, and to related books that have received admirable reviews. This book also contains exercises for each chapter with selected solutions. Interrelationships among concepts are taken into account frequently. Twelve particular topological spaces are repeatedly exploited, which serve as examples to learn new concepts based on old ones.