University of Toronto Mathematics Competition (2001–2015)

• Κύριος συγγραφέας: Barbeau, Edward J. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Problem Books in Mathematics,
• Θέματα: Mathematics.; Group theory.; Differential equations.; Functions of real variables.; Geometry.; Real Functions.; Group Theory and Generalizations.; Ordinary Differential Equations.

This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combi...

Πίνακας περιεχομένων:

• Preface
• 1. Problems of the Contests
• 2. Algebra
• 3. Inequalities
• 4. Sequences and Series
• 5. Calculus and its Applications
• 6. Other Topics in Analysis
• 7. Linear Algebra
• 8. Geometry
• 9. Group Theory
• 10. Combinatorics and Finite Mathematics
• 11. Number Theory
• Appendix A: Definitions, Conventions, Notation, and Basics
• Appendix B: Top-Ranking Students
• Index. .