Buch, Englisch, 160 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 404 g
Buch, Englisch, 160 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 404 g
ISBN: 978-0-367-54482-9
Verlag: CRC Press
Features:
- Numerous problems designed to embed good practice in readers, and build underlying reasoning, analysis and problem-solving skills
- Suitable for advanced high school students preparing for Math Olympiad competitions
Autoren/Hrsg.
Fachgebiete
- Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
- Mathematik | Informatik Mathematik Mathematik Allgemein Populäre Darstellungen der Mathematik
- Mathematik | Informatik Mathematik Algebra Zahlentheorie
- Mathematik | Informatik Mathematik Mathematik Allgemein Mengenlehre
Weitere Infos & Material
1. Introduction. 1.1. Patterns and Sequences. 1.2. Integers. 1.3. Geometry. 1.4. Venn Diagrams. 1.5. Factorial and Pascal's Triangle. 1.6. Graph Theory. 1.7. Piecewise Sequences. 1.8. Chapter 1 Exercises. 2. Sequences and Summations. 2.1. Linear and Quadratic Sequences. 2.2 Geometric Sequences. 2.3. Factorial and Factorial-Type Sequences. 2.4. Alternating and Piecewise Sequences. 2.5. Formulating Recursive Sequences. 2.6. Solving Recursive Sequences. 2.7. Summations. 2.8. Chapter 2 Exercises. 3. Proofs. 3.1. Algebraic Proofs. 3.2. Proof By Inductions. 3.3. Chapter 3 Exercises. 4 Integers' Characteristics. 4.1. Consecutive Integers. 4.2. Prime Factorization and Divisors. 4.3. Perfect Squares. 4.4. Integers' Ending Digits. 4.5. Chapter 4 Exercises. 5. Pascal's Triangle Identities. 5.1 Horizontally-Oriented Identities. 5.2 Diagonally-Oriented Identities. 5.3. Binomial Expansion. 5.4. Chapter 5 Exercises. 6. Geometry. 6.1. Triangular Geometry. 6.2 Area and Perimeter Geometry. 6.3. Geometry and Proportions. 6.4. Chapter 6 Exercises. 7. Graph Theory. 7.1. Degrees of Vertices and Cycles. 7.2 Regular Graphs. 7.3. Semi-Regular Graphs. 7.4 Hamiltonian Cycles. 7.5. Chapter 7 Exercises. 8. Answers to Chapter Exercises. 9. Appendices. 10. Index. 11. Bibliography.