书目名称 | Problem-Solving Through Problems |
编辑 | Loren C. Larson |
视频video | |
丛书名称 | Problem Books in Mathematics |
图书封面 |  |
描述 | The purpose of this book is to isolate and draw attention to the most important problem-solving techniques typically encountered in undergradu ate mathematics and to illustrate their use by interesting examples and problems not easily found in other sources. Each section features a single idea, the power and versatility of which is demonstrated in the examples and reinforced in the problems. The book serves as an introduction and guide to the problems literature (e.g., as found in the problems sections of undergraduate mathematics journals) and as an easily accessed reference of essential knowledge for students and teachers of mathematics. The book is both an anthology of problems and a manual of instruction. It contains over 700 problems, over one-third of which are worked in detail. Each problem is chosen for its natural appeal and beauty, but primarily to provide the context for illustrating a given problem-solving method. The aim throughout is to show how a basic set of simple techniques can be applied in diverse ways to solve an enormous variety of problems. Whenever possible, problems within sections are chosen to cut across expected course boundaries and to thereby strength |
出版日期 | Book 1983 |
关键词 | Arithmetic; Cauchy-Schwarz Inequality; Derivative; Division; Problem solving; Schwarz inequality; calculus |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4612-5498-0 |
isbn_softcover | 978-0-387-96171-2 |
isbn_ebook | 978-1-4612-5498-0Series ISSN 0941-3502 Series E-ISSN 2197-8506 |
issn_series | 0941-3502 |
copyright | Springer-Verlag New York Inc. 1983 |