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Antonio Caminha Muniz Neto

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

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

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  • More about Excursion through Elementary Mathematics, Volume III: Discrete Mathematics and Polynomial Algebra

This book provides a comprehensive overview of elementary mathematics, covering topics usually encountered in high school and preparation for a first-semester undergraduate course. It starts from the most basic theoretical principles and applies them to Olympic problems and other difficult problems. An extensive Appendix offers hints and solutions for all difficult problems.

\n Format: Hardback
\n Length: 648 pages
\n Publication date: 26 April 2018
\n Publisher: Springer International Publishing AG
\n


This comprehensive book offers an in-depth exploration of elementary mathematics as examined in various Mathematical Olympiads worldwide. It extends beyond the typical topics covered in high school and serves as a valuable preparation for a first-semester undergraduate course. Spanning three volumes, this final installment covers a wide range of subjects, including Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more. Unlike other publications in this field, this book is not merely a collection of questions or a set of tips and tricks tailored to specific problems. Instead, it begins with the most fundamental theoretical principles, avoiding excessive generality or axiomatic approaches. Examples and problems are introduced only when they serve as practical applications of the theory, ensuring their relevance and effectiveness. Propositions are thoroughly proved, followed by their application to Olympic problems and other challenging problems at the Olympic level. Additionally, the book delves into some of the most difficult problems presented at National and International Mathematics Olympiads, as well as numerous essential theorems related to the content. To assist readers, an extensive Appendix provides hints or full solutions for all challenging problems, rounding out the book's comprehensive coverage.

\n Weight: 1176g\n
Dimension: 239 x 169 x 41 (mm)\n
ISBN-13: 9783319779768\n
Edition number: 1st ed. 2018\n

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