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商品詳細
An Elementary Transition to Abstract Mathematics.
・ISBN 978-0-367-33693-6 hard GB£ 103.99
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-429-32481-9
| 著者・編者 | Fresno-Calleja, Paloma / Wilson, Janet M. (eds.), |
|---|---|
| シリーズ | Textbooks in Mathematics |
| 出版社 | (CRC Press, UK) |
| 出版年月 | 2019 |
| ページ数 | 292 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7623＞ |
解説
An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role.
The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials.
Features:
- The material is presented in many short chapters, so that one concept at a time can be absorbed by the student.
- Two "looking back" chapters at the outset (pre-calculus and calculus) are designed to start the student's transition by working with familiar concepts.
- Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns.
- A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student.