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Topics in Algebra and Analysis Preparing for the Mathematical Olympiad /

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 competi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bulajich Manfrino, Radmila (Autor), Gómez Ortega, José Antonio (Autor), Valdez Delgado, Rogelio (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edición:1st ed. 2015.
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Topics in Algebra and Analysis  |h [electronic resource] :  |b Preparing for the Mathematical Olympiad /  |c by Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2015. 
300 |a IX, 311 p. 40 illus., 1 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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347 |a text file  |b PDF  |2 rda 
505 0 |a 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. 
520 |a 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. 
650 0 |a Number theory. 
650 0 |a Difference equations. 
650 0 |a Functional equations. 
650 0 |a Sequences (Mathematics). 
650 1 4 |a Number Theory. 
650 2 4 |a Difference and Functional Equations. 
650 2 4 |a Sequences, Series, Summability. 
700 1 |a Gómez Ortega, José Antonio.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Valdez Delgado, Rogelio.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319119472 
776 0 8 |i Printed edition:  |z 9783319119458 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
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