University of Toronto Mathematics Competition (2001¿2015)
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ISBN-13:
9783319281049
Veröffentl:
2016
Einband:
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Erscheinungsdatum:
26.04.2016
Seiten:
216
Autor:
Edward J. Barbeau
Gewicht:
534 g
Format:
241x160x17 mm
Serie:
Problem Books in Mathematics
Sprache:
Englisch
Beschreibung:
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, combinatorics, basic group theory, and number theory. The problems of the competitions are given in chronological order as presented to the students. The solutions appear in subsequent chapters according to subject matter. Appendices recall some background material and list the names of students who did well.
Includes problems that are prime for standard assignments and more advanced problems for eager students
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.
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