### Mathematics Test Topics

Mathematics Olympiad

An international participant can take part in either Pure or Applied Mathematics. **
**

Test Topics for Pure Mathematics |
Test Topics for Applied Mathematics |

1. Mathematical Analysis | 1. Mathematical Analysis |

2. Numerical Analysis | 2. Numerical Analysis |

3. Linear Algebra | 3. Linear Algebra |

4. Algebra | 4. Operations Research |

a) Mathematical Analysis

1. Principles of Mathematical Analysis

by: W. Rudin , Mc. Graw Hill Co., 3rd edition, 1976

2. The Elements of Real Analysis

by: Robert G. Bartle , John Wiley & Sons, 2nd edition, 1975

b) Linear Algebra

1. Linear Algebra and Matrix Theory

by: Evar D. Nering, John Wiley & Sons, 2nd edition, 1970

2. Linear Algebra

by: Hoffman & Kunze, Prentice-Hall, 2nd edition, 1971

3. Linear Algebra and its Applications

by: Gilbert Strang, Academic Press, 4th edition, 2005

c) Algebra

Abstract Algebra

by: I. N. Herstein, John Wiley & Sons , 3rd edition, 1996

d) Numerical Analysis

1. Theory and Application of Numerical Analysis

by: Taylor & Phillips, Academic Press, 2nd edition, 1996

2. Numerical Analysis

by: Burdon et al., Brooks Cole, 7th edition, 2000

3. Numerical Methods and Software

by: David Kahaner, Cleve Moler and Stephen Nash, Prentice Hall, 2nd edition, 1988

4. Numerical Methods and Analysis.

by: James L. Buchanan and Peter R. Turner, John Wiley & Sons, Revised edition, 2007

e) Operations Research

1. Linear and Nonlinear Programming

by: David G. Luenberger, Addison Wesley, 2nd revised edition, 2003

2. Linear Programming and Network Flows

by: M. S. Bazaraa, J. J. Jarvis and H. D. Sherali, John Wiley & Sons, 2nd edition, 1990

**Note:** The exams in Mathematics Olympiad are given in the English language.

Center of Scientific Olympiads for University Student 08/03/2016