Bridge to Abstract Mathematics (Mathematical Association of America Textbooks)
| Author | : | |
| Rating | : | 4.58 (947 Votes) |
| Asin | : | 0883857790 |
| Format Type | : | paperback |
| Number of Pages | : | 232 Pages |
| Publish Date | : | 2015-09-20 |
| Language | : | English |
DESCRIPTION:
She received her baccalaureate degree in Mathematics Education from Cameron University in 1979. In Greece, he has worked as a teacher in secondary education and as an English-Greek translator of popular mathematics books and articles. Ralph W. After ten years of teaching, she returned to school and earned her Master's degree in Mathematics at Auburn University and went on to receive her Ph
The purpose of these courses, broadly speaking, is to introduce students to abstract and rigorous mathematical thinking, at a level appropriate to their learning, to make conjectures and construct proofs--things they do not usually see in calculus at present. For a variety of reasons, over the past 30 years or so, "bridge" or "transition" courses have become staples in the undergraduate mathematics curriculum. It would be an excellent choice for a freshman/sophomore level course in the foundations of mathematics designed to prepare students for the rigors of proofs that they will experience in th
A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Part I introduces the language of mathematics and the methods of proof. Continuity and differentiation are considered in the context of time scales (nonempty closed subsets of the real numbers). In Part II, students study sets, functions, equivalence and order relations, and cardinality. Readers will learn how to read mathematics beyond popular computational calculus courses. Part IV studies analysis. Moreover, readers will learn how to construct their own proofs.The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference. Throughout the text, some pieces (usually proofs) are left as exercises; Part V gives hin
Fantastic The book is insightful and provides great insight into many basic proofs. Unfortunately, some of the examples leave something to be desired. There are a few goofs but if you take time and truly explore the examples it could be insightful teaching you why they are incorrect or what the true mean. "Five Stars" according to Name. great book