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Topics in algebra and analysisprepar...

Bulajich Manfrino, Radmila.

Topics in algebra and analysispreparing for the Mathematical Olympiad /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Topics in algebra and analysisby Radmila Bulajich Manfrino, Jose Antonio Gomez Ortega, Rogelio Valdez Delgado.
其他題名:	preparing for the Mathematical Olympiad /
作者:	Bulajich Manfrino, Radmila.
其他作者:	Gomez Ortega, Jose Antonio.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	ix, 311 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Algebra.
電子資源:	http://dx.doi.org/10.1007/978-3-319-11946-5
ISBN:	9783319119465 (electronic bk.)

Topics in algebra and analysispreparing for the Mathematical Olympiad /
Bulajich Manfrino, Radmila.

Topics in algebra and analysispreparing for the Mathematical Olympiad /[electronic resource] :by Radmila Bulajich Manfrino, Jose Antonio Gomez Ortega, Rogelio Valdez Delgado. - Cham :Springer International Publishing :2015. - ix, 311 p. :ill. (some col.), digital ;24 cm.

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.

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.

ISBN: 9783319119465 (electronic bk.)

Standard No.: 10.1007/978-3-319-11946-5doiSubjects--Topical Terms:

188312
Algebra.

LC Class. No.: QA152.3

Dewey Class. No.: 512

Topics in algebra and analysispreparing for the Mathematical Olympiad /
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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.
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