A Discrete Transition to Advanced Mathematics (Pure and Applied Undergraduate Texts) The selection of topics provides flexibility for the instructor in a course designed to spark the interest of st. The text provides a careful introduction to techniques for writing proofs and a logic
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| Title | : | A Discrete Transition to Advanced Mathematics (Pure and Applied Undergraduate Texts) |
| Author | : | |
| Rating | : | 4.91 (796 Votes) |
| Asin | : | 0821847899 |
| Format Type | : | Hardcover |
| Number of Pages | : | 424 Pages |
| Publish Date | : | 2009-02-18 |
| Genre | : |
Editorial : This nice text is a welcome addition to existing literature on discrete mathematics, mathematical reasoning and proofs, and similar topics. --Zentralblatt MATH
As the title indicates, this book is intended for courses aimed at bridging the gap between lower-level mathematics and advanced mathematics. The text provides a careful introduction to techniques for writing proofs and a logical development of topics based on intuitive understanding of concepts. The authors utilize a clear writing style and a wealth of examples to develop an understanding of discrete mathematics and critical thinking skills. While including many traditional topics, the text offers innovative material throughout. Surprising results are used to motivate the reader. The last three chapters address topics such as continued fractions, infinite arithmetic, and the interplay among Fibonacci numbers, Pascal's triangle, and the golden ratio, and may be used for independent reading assignments. The treatment of sequences may be used to introduce epsilon-delta proofs. The selection of topics provides flexibility for the instructor in a course designed to spark the interest of st
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