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Problem Books in Mathematics

University of Toronto Mathematics Competition (2001–2015)

Authors: Barbeau, Edward J.

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  • Includes problems that are prime for standard assignments and more advanced problems for eager students
  • Provides a model for institutions who may wish to establish math competitions
  • Prepares students for the Putnam mathematics competitions
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eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-319-28106-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA in USD
  • ISBN 978-3-319-28104-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA in USD
  • ISBN 978-3-319-80273-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Ed Barbeau is professor emeritus at the University of Toronto. Dr. Barbeau is a life member of the MAA, the AMS, and the CMS, and has served all three societies on various committees, particularly having to do with mathematics education. He has published a number of books directed to students of mathematics and their teachers, including "Polynomials" (Springer), "Pell's Equation" (Springer). Ed Barbeau has frequently given talks and workshops at professional meetings and in schools, has worked with high school students preparing for Olympiad competitions and has on five occasions accompanied the Canadian team to the International Mathematical Olympiad. He is currently associate editor in charge of the Fallacies, Flaws and Flimflam column in the College Mathematics Journal and education editor for the Notes of the Canadian Mathematical Society. He is a former chairman of the Education Committee of the Canadian Mathematical Society. Honors include the Fellowship of the Ontario Institute for Studies in Education, the David Hilbert Award from the World Federation of National Mathematics Competitions and the Adrien Pouliot Award from the Canadian Mathematical Society.

Reviews

“The book under review is mainly intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay among applied analysis, mathematical physics, and numerical analysis.” (Teodora-Liliana Rădulescu, zbMATH 1357.97001, 2017)

“This book is the compilation of the problems from those competitions from 2001 to 2015, along with their solutions, an appendix of notation and key results, and an appendix listing the top ranking students. … This books seems most useful as a supplementary resource for a problem solving or Putnam prep group, class, or math club.” (Megan Patnott, MAA Reviews, maa.org, August, 2016)


Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-319-28106-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA in USD
  • ISBN 978-3-319-28104-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA in USD
  • ISBN 978-3-319-80273-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
University of Toronto Mathematics Competition (2001–2015)
Authors
Series Title
Problem Books in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-28106-3
DOI
10.1007/978-3-319-28106-3
Hardcover ISBN
978-3-319-28104-9
Softcover ISBN
978-3-319-80273-2
Series ISSN
0941-3502
Edition Number
1
Number of Pages
VIII, 207
Number of Illustrations
4 b/w illustrations, 1 illustrations in colour
Topics