Lecture Notes On Mathematical Olympiad Courses: For Junior Section (In 2 Volumes) - Volume 2
For Junior SectionVolume 2
- 192 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Lecture Notes On Mathematical Olympiad Courses: For Junior Section (In 2 Volumes) - Volume 2
For Junior SectionVolume 2
About This Book
Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education.
This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics.
In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate number of test questions is available for reader's practice and testing purpose. Their detailed solutions are also conveniently provided.
The examples are not very complicated so that readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions are from many countries, e.g. China, Russia, USA, Singapore, etc. In particular, the reader can find many questions from China, if he is interested in understanding mathematical Olympiad in China.
This book serves as a useful textbook of mathematical Olympiad courses, or as a reference book for related teachers and researchers.
Contents
- Volume 2:
- Congruence of Integers
- Decimal Representation of Integers
- Pigeonhole Principle
- Linear Inequality and System of Linear Inequalities
- Inequalities with Absolute Values
- Geometric Inequalities
- Solutions to Testing Questions
- and other chapters
Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts.
Frequently asked questions
Information
Solutions to Testing Questions
Solutions to Testing Questions
Table of contents
- Cover Page
- Title Page
- Copyright Page
- Preface
- Acknowledgments
- Abbreviations and Notations
- Contents
- 16. Quadratic Surd Expressions and Their Operations
- 17. Compound Quadratic Surd Form
- 18. Congruence of Integers
- 19. Decimal Representation of Integers
- 20. Perfect Square Numbers
- 21. Pigeonhole Principle
- 22. [x] and {x}
- 23. Diophantine Equations (I)
- 24. Roots and Discriminant of Quadratic Equation
- 25. Relation between Roots and Coefficients of Quadratic Equations
- 26. Diophantine Equations (II)
- 27. Linear Inequality and System of Linear Inequalities
- 28. Quadratic Inequalities and Fractional Inequalities
- 29. Inequalities with Absolute Values
- 30. Geometric Inequalities
- Solutions to Testing Questions
- Index