TY - GEN AU - Ivanov, O. A. AU - Burns, Robert (Tr.) TI - Making mathematics come to life: a guide for teachers and students SN - 9780821848081 U1 - 510.71 PY - 2009/// CY - Providence, Rhode Island PB - American Mathematical Society KW - Mathematics KW - Combinatorics KW - Whole number KW - Geometric transformation KW - Pigeonhole Principle KW - Rational approximations N1 - Includes bibliography and index N2 - 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. https://bookstore.ams.org/mbk-61 ER -