Authors:
Illustrates mathematical Olympiad topics with exercises
Explains the theory of algebra and analysis as used in mathematical contests
Provides key observation on how to attack functional equations
Presents interesting ways to tackle known problems such as double counting arguments to find sums of natural numbers
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
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.
Reviews
“The subtitle of this book is ‘Preparing for the Mathematical Olympiad’, and its value lies in the wealth of examples and exercises (with solutions). … it came across as enjoyable and hard to put down, surely the best of all reasons for anyone, whether student, teacher or mathematics aficionado, to find a copy. … I can well imagine an inquisitive pupil being drawn in and fired up by some of the cleverly constructed problems and solutions.” (Stephen Rout, The Mathematical Gazette, Vol. 100 (547), 2016)
“A very enjoyable collection of high school mathematics competition problems in algebra and analysis, the level of which ranges from local contests to the International Mathematical Olympiads. … The book is extremely useful for high school students preparing for competitions. … Essential for libraries used by high school students. Summing Up: Highly recommended. Lower-division undergraduates through researchers/faculty.” (M. Bona, Choice, Vol. 53 (2), October, 2015)
Authors and Affiliations
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Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Cuernavaca, Mexico
Radmila Bulajich Manfrino, Rogelio Valdez Delgado
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Facultad de Ciencias, Universidad Nacional Autónoma de México, México, Mexico
José Antonio Gómez Ortega
About the authors
Bibliographic Information
Book Title: Topics in Algebra and Analysis
Book Subtitle: Preparing for the Mathematical Olympiad
Authors: Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
DOI: https://doi.org/10.1007/978-3-319-11946-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-11945-8Published: 11 March 2015
eBook ISBN: 978-3-319-11946-5Published: 09 February 2015
Edition Number: 1
Number of Pages: IX, 311
Number of Illustrations: 39 b/w illustrations, 1 illustrations in colour
Topics: Number Theory, Difference and Functional Equations, Sequences, Series, Summability