Topics in Algebra and Analysis Preparing for the Mathematical Olympiad /

• Κύριοι συγγραφείς: Bulajich Manfrino, Radmila (Συγγραφέας), Gómez Ortega, José Antonio (Συγγραφέας), Valdez Delgado, Rogelio (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Θέματα: Mathematics.; Difference equations.; Functional equations.; Sequences (Mathematics).; Number theory.; Number Theory.; Difference and Functional Equations.; Sequences, Series, Summability.

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...

Πίνακας περιεχομένων:

• 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.