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An Excursion through Elementary Mathematics, Volume III: Discrete Mathematics and Polynomial Algebra

โœ Scribed by Antonio Caminha Muniz Neto


Publisher
Springer
Year
2018
Tongue
English
Leaves
647
Series
Problem Books in Mathematics
Category
Library

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โœฆ Synopsis


This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This third and last volume covers Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more.

As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level.

The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

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๐Ÿ“œ SIMILAR VOLUMES


An Excursion through Elementary Mathemat
โœ Antonio Caminha Muniz Neto (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2017 ๐Ÿ› Springer International Publishing ๐ŸŒ English

<p><p>This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume cov