| 000 | 03211cam a2200301 a 4500 | ||
|---|---|---|---|
| 003 | CUTN | ||
| 005 | 20231215152215.0 | ||
| 008 | 090626s2009 riua b 001 0 eng | ||
| 020 | _a9780821848081 (alk. paper) | ||
| 020 | _a0821848089 (alk. paper) | ||
| 041 | 1 | _aeng | |
| 082 | 0 | 0 |
_a510.71 _222 _bIVA |
| 100 | 1 | _aIvanov, O. A. | |
| 100 | 1 | _q(Oleg A.) | |
| 240 | 1 | 0 | _aĖlementarnai︠a︡ matematika dli︠a︡ shkolʹnikov, prepodavateleĭ i studentov. |
| 240 | 1 | 0 | _lEnglish |
| 245 | 1 | 0 |
_aMaking mathematics come to life : _ba guide for teachers and students / _cO. A. Ivanov ; translated by Robert Burns. |
| 260 |
_aProvidence, R.I. : _bAmerican Mathematical Society, _cc2009. |
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| 300 |
_ax, 337 p. : _bill. ; _c27 cm. |
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| 504 | _aIncludes bibliographical references and index. | ||
| 505 | _tChapters Introduction Chapter 1. Induction Chapter 2. Combinatorics Chapter 3. The whole numbers Chapter 4. Geometric transformations Chapter 5. Inequalities Chapter 6. Graphs Chapter 7. The pigeonhole principle Chapter 8. Complex numbers and polynomials Chapter 9. Rational approximations Chapter 10. Mathematics and the computer Instead of a conclusion: teaching how to look for solutions of problems, or fantasy in the manner of Pólya Solutions of the supplementary problems | ||
| 520 | _a2009; 337 pp MSC: Primary 00; “It is difficult to define the genre of the book. It is not a problem book, nor a textbook, nor a ‘book for reading about mathematics’. It is most of all reminiscent of a good lecture course, from which a thoughtful student comes away with more than was actually spoken about in the lectures.” —from the Preface by A. S. Merkurjev If you are acquainted with mathematics at least to the extent of a standard high school curriculum and like it enough to want to learn more, and if, in addition, you are prepared to do some serious work, then you should start studying this book. An understanding of the material of the book requires neither a developed ability to reason abstractly nor skill in using the refined techniques of mathematical analysis. In each chapter elementary problems are considered, accompanied by theoretical material directly related to them. There are over 300 problems in the book, most of which are intended to be solved by the reader. In those places in the book where it is natural to introduce concepts outside the high school syllabus, the corresponding definitions are given with examples. And in order to bring out the meaning of such concepts clearly, appropriate (but not too many) theorems are proved concerning them. Unfortunately, what is sometimes studied at school under the name “mathematics” resembles real mathematics not any closer than a plucked flower gathering dust in a herbarium or pressed between the pages of a book resembles that same flower in the meadow besprinkled with dewdrops sparkling in the light of the rising sun. | ||
| 650 | 0 | _aMathematics. | |
| 690 | _aMathematics | ||
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| 942 |
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