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Titlebook: A Path to Combinatorics for Undergraduates; Counting Strategies Titu Andreescu,Zuming Feng Textbook 2004 Springer Science+Business Media Ne

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期刊全稱A Path to Combinatorics for Undergraduates
期刊簡稱Counting Strategies
影響因子2023Titu Andreescu,Zuming Feng
視頻videohttp://file.papertrans.cn/142/141638/141638.mp4
圖書封面Titlebook: A Path to Combinatorics for Undergraduates; Counting Strategies Titu Andreescu,Zuming Feng Textbook 2004 Springer Science+Business Media Ne
影響因子The main goal of the two authors is to help undergraduate students understand the concepts and ideas of combinatorics, an important realm of mathematics, and to enable them to ultimately achieve excellence in this field. This goal is accomplished by familiariz- ing students with typical examples illustrating central mathematical facts, and by challenging students with a number of carefully selected problems. It is essential that the student works through the exercises in order to build a bridge between ordinary high school permutation and combination exercises and more sophisticated, intricate, and abstract concepts and problems in undergraduate combinatorics. The extensive discussions of the solutions are a key part of the learning process. The concepts are not stacked at the beginning of each section in a blue box, as in many undergraduate textbooks. Instead, the key mathematical ideas are carefully worked into organized, challenging, and instructive examples. The authors are proud of their strength, their collection of beautiful problems, which they have accumulated through years of work preparing students for the International Math- ematics Olympiads and other competitions. A g
Pindex Textbook 2004
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Continuous Dependence on Initial Conditions,on, that is, each problem could be solved by counting the number of objects (maybe via bijections or recursions). In this Chapter, in order to find ., the number of objects of type ., we will find ., the number of objects of type ., in order to set up equations involving ., after which we will solve
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Systems with Constant Coefficients,Let . = (.., .., .., ...) be a sequence.
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