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Liu

S.M.A.R.T. Circle Minicourses

Medium: Buch
ISBN: 978-3-319-71742-5
Verlag: Springer International Publishing
Erscheinungstermin: 16.01.2018
Lieferfrist: bis zu 10 Tage
This book describes mini-courses in a Mathematical “Circle,” i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the third volume in a trilogy describing in particular the S.M.A.R.T. Circle project, which was founded in Edmonton, Canada in 1981. The acronym S.M.A.R.T. stands for Saturday Mathematical Activities, Recreations & Tutorials.
This book, Volume III, consists of mini-courses and explains what actually takes place in the Circle. Volume I describes how to run a Circle, and Volume II, consisting of student projects, addresses the purpose of the Circle. All three volumes provide a wealth of resources (mathematical problems, quizzes and games, together with their solutions). The books will be of interest to self-motivated students who want to conduct independent research, teachers who work with these students, and teachers who are currently running or planning to run Mathematical Circles of their own.

Produkteigenschaften


  • Artikelnummer: 9783319717425
  • Medium: Buch
  • ISBN: 978-3-319-71742-5
  • Verlag: Springer International Publishing
  • Erscheinungstermin: 16.01.2018
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2018
  • Serie: Springer Texts in Education
  • Produktform: Kartoniert, Paperback
  • Gewicht: 400 g
  • Seiten: 244
  • Format (B x H x T): 155 x 235 x 15 mm
  • Ausgabetyp: Kein, Unbekannt

Autoren/Hrsg.

Autoren

Liu, Andrew Chiang-Fung

Preface.- Acknowledgement.- Table of Contents.- Part I. Geometric Topics.- Chapter 1. Area and Dissection.- Section 1. Qualitative and Quantitative Treatments of Area.- Section 2. The Bolyai-Gerwin Theorem and Pythagoras’ Theorem.- Section 3. Dissection Problems.- Chapter 2. Projective Geometry.- Section 1. Synthetic Approach.- Section 2. Metric Approach.- Section 3. Analytic Approach.- Chapter 3. Conic Sections.- Section 1. Loci.- Section 2. The Parabola.- Section 3. Ellipses and Hyperbolas.- Chapter 4. Inversive Geometry.- Section 1. Inversion.- Section 2. Applications to Euclidean Geometry.- Section 3. Mohr-Mascheroni Constructions.- Chapter 5. Convexity.- Section 1. Figures.- Section 2. Convex Figures.- Section 3. Figures of Constant Width.- Part II. Other Topics.- Chapter 6. Balancing Problems.- Section 1. Identifying Fake Coins.- Section 2. Other Problems.- Section 3. Other Balances.- Chapter 7. Graph Theory.- Section 1. Basic Concepts.- Section 2. Trees.- Section 3. Directed Graphs.- Chapter 8. Beanstalks.- Section 1. Red and Blue Beanstalks.- Section 2. Infinite Beanstalks.- Section 3. Beansprouts.- Chapter 9. Inequalities.- Section 1. The Rearrangement Inequality.- Section 2. The Majorization Inequality.- Section 3. Trigonometric Inequalities.- Chapter 10. Polynomial Equations.- Section 1. Complex Numbers.- Section 2. Cubic Equations.- Section 3. Quartic Equations.