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University of Toronto Mathematics Competition (2001–2015)
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Catalogue Information
Field name
Details
Dewey Class
515.8
Title
University of Toronto Mathematics Competition (2001–2015) ([EBook]) / by Edward J. Barbeau.
Author
Barbeau, Edward J.
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details
VIII, 207 p. 5 illus., 1 illus. in color. : online resource.
Series
Problem books in mathematics
0941-3502
ISBN
9783319281063
Summary Note
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. The University of Toronto Undergraduate Competition was founded to provide additional competition experience for undergraduates preparing for the Putnam competition, and is particularly useful for the freshman or sophomore undergraduate. Lecturers, instructors, and coaches for mathematics competitions will find this presentation useful. Many of the problems are of intermediate difficulty and relate to the first two years of the undergraduate curriculum. The problems presented may be particularly useful for regular class assignments. Moreover, this text contains problems that lie outside the regular syllabus and may interest students who are eager to learn beyond the classroom.:
Contents note
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. .
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-28106-3
Links to Related Works
Subject References:
Differential Equations
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Functions of real variables
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Geometry
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Group theory
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Group Theory and Generalizations
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Mathematics
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Ordinary differential equations
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Real Functions
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Authors:
Barbeau, Edward J.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Problem books in mathematics
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Classification:
515.8
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