A Transition to Advanced Mathematics
This book introduces basic proof-writing techniques, naive set theory, cardinality, functions, and also includes a very brief introduction to abstract algebra and real analysis. I thought that the section on proofs was quite well done even though there are better textbooks which cover this topic mor...
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| Langue: | Undetermined English |
| Publié: |
CA
Cengage Learning, Inc
2004
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| Thư viện lưu trữ: | Trung tâm Học liệu Trường Đại học Trà Vinh |
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| Résumé: | This book introduces basic proof-writing techniques, naive set theory, cardinality, functions, and also includes a very brief introduction to abstract algebra and real analysis. I thought that the section on proofs was quite well done even though there are better textbooks which cover this topic more extensively with more examples. The examples are generally simple and are pulled almost exclusively from number theory, but they provide understanding. The set theory chapter is not very rigorous, but it meets the goals of the type of student who would take such a class. A more rigorous (i.e. axiomatic) introduction to set theory would require an entire semester, and the goal of this book is simply to provide students with just enough tools to prepare themselves for classes like Abstract/Modern Algebra, Real Analysis, and Set Theory, but not much more. Also, I consider the proofs to be generally well-written although there are occasional mistakes |
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| Description matérielle: | 372 p. ill. 23 cm |
| ISBN: | 0534410197 9780534410193 |