Topics in Algebra and Analysis [[electronic resource] ] : Preparing for the Mathematical Olympiad / / by Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
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| Autore: |
Bulajich Manfrino Radmila
|
| Titolo: |
Topics in Algebra and Analysis [[electronic resource] ] : Preparing for the Mathematical Olympiad / / by Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
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| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 |
| Edizione: | 1st ed. 2015. |
| Descrizione fisica: | 1 online resource (319 p.) |
| Disciplina: | 512 |
| Soggetto topico: | Number theory |
| Difference equations | |
| Functional equations | |
| Sequences (Mathematics) | |
| Number Theory | |
| Difference and Functional Equations | |
| Sequences, Series, Summability | |
| Persona (resp. second.): | Gómez OrtegaJosé Antonio |
| Valdez DelgadoRogelio | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references (pages [307]-308) and index. |
| Nota di contenuto: | 1. Preliminaries -- 2 Progressions and finite sums -- 3 Induction principle -- 4 Quadratic and cubic polynomials -- 5 Complex numbers -- 6 Functions and functional equations -- 7 Sequences and series -- 8 Polynomials -- 9 Problems -- 10 Solutions of the exercises and problems -- Notation -- Bibliography -- Index. |
| Sommario/riassunto: | The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads. |
| Titolo autorizzato: | Topics in Algebra and Analysis |
| ISBN: | 3-319-11946-X |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910299778403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |