登入
選單
返回
Google圖書搜尋
A Primer of Abstract Mathematics
Robert B. Ash
出版
American Mathematical Soc.
, 2020-03-02
主題
Mathematics / General
ISBN
1470457091
9781470457099
URL
http://books.google.com.hk/books?id=oWXxDwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
The purpose of this book is to prepare the reader for coping with abstract mathematics. The intended audience is both students taking a first course in abstract algebra who feel the need to strengthen their background and those from a more applied background who need some experience in dealing with abstract ideas. Learning any area of abstract mathematics requires not only ability to write formally but also to think intuitively about what is going on and to describe that process clearly and cogently in ordinary English. Ash tries to aid intuition by keeping proofs short and as informal as possible and using concrete examples as illustration. Thus, it is an ideal textbook for an audience with limited experience in formalism and abstraction. A number of expository innovations are included, for example, an informal development of set theory which teaches students all the basic results for algebra in one chapter.