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University of Toronto Mathematics Competition (2001¿2015)
Buch von Edward J. Barbeau
Sprache: Englisch

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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.
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.
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.
Über den Autor
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 Institutefor 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.
Zusammenfassung

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

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Problem Books in Mathematics
Inhalt: viii
207 S.
4 s/w Illustr.
1 farbige Illustr.
207 p. 5 illus.
1 illus. in color.
ISBN-13: 9783319281049
ISBN-10: 3319281046
Sprache: Englisch
Herstellernummer: 978-3-319-28104-9
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Barbeau, Edward J.
Auflage: 1st ed. 2016
Hersteller: Springer International Publishing
Springer International Publishing AG
Problem Books in Mathematics
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 241 x 160 x 17 mm
Von/Mit: Edward J. Barbeau
Erscheinungsdatum: 26.04.2016
Gewicht: 0,534 kg
Artikel-ID: 104052969
Über den Autor
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 Institutefor 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.
Zusammenfassung

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

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Problem Books in Mathematics
Inhalt: viii
207 S.
4 s/w Illustr.
1 farbige Illustr.
207 p. 5 illus.
1 illus. in color.
ISBN-13: 9783319281049
ISBN-10: 3319281046
Sprache: Englisch
Herstellernummer: 978-3-319-28104-9
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Barbeau, Edward J.
Auflage: 1st ed. 2016
Hersteller: Springer International Publishing
Springer International Publishing AG
Problem Books in Mathematics
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 241 x 160 x 17 mm
Von/Mit: Edward J. Barbeau
Erscheinungsdatum: 26.04.2016
Gewicht: 0,534 kg
Artikel-ID: 104052969
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