An excursion through elementary mathematics [Documento electrónico] : discrete mathematics and polynomial algebra, Volume III / Antonio Caminha Muniz Neto
Language: eng.Country: US - United States of America.Publication: Cham : Springer International Publishing, Imprint: Springer, 2018Description: XII, 648 p. : il.ISBN: 978-3-319-77977-5.Series: Problem Books in MathematicsSubject - Topical Name: 9376Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA150.SPR FCT 98268 (Browse shelf(Opens below)) | 1 | Available |
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QA150.SPR FCT 80829 An introduction to Hopf algebras | QA150.SPR FCT 95596 Lattice, multivariate data visualization with R | QA150.SPR FCT 98025 Bounds and asymptotics for orthogonal polynomials for varying weights | QA150.SPR FCT 98268 An excursion through elementary mathematics, discrete mathematics and polynomial algebra | QA152.2.SPR FCT 82087 Bridging algebra, geometry, and topology | QA154.SPR FCT 82878 Calcul scientifique, cours, exercices corrigés et illustrations en MATLAB et Octave | QA155.FCT FCT 96816 Topics in algebra and analysis, preparing for the mathematical olympiad |
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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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