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000825481 019__ $$a1018206002$$a1021189181$$a1032284957
000825481 020__ $$a9783319717432$$q(electronic book)
000825481 020__ $$a331971743X$$q(electronic book)
000825481 020__ $$z9783319717425
000825481 020__ $$z3319717421
000825481 0247_ $$a10.1007/978-3-319-71743-2$$2doi
000825481 035__ $$aSP(OCoLC)on1017756024
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000825481 049__ $$aISEA
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000825481 08204 $$a516$$223
000825481 1001_ $$aLiu, A. C. F.$$q(Andrew Chiang-Fung),$$eauthor.
000825481 24510 $$aS.M.A.R.T. circle minicourses /$$cAndy Liu.
000825481 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2018]
000825481 264_4 $$c©2018
000825481 300__ $$a1 online resource.
000825481 336__ $$atext$$btxt$$2rdacontent
000825481 337__ $$acomputer$$bc$$2rdamedia
000825481 338__ $$aonline resource$$bcr$$2rdacarrier
000825481 347__ $$atext file$$bPDF$$2rda
000825481 4901_ $$aSpringer texts in education
000825481 504__ $$aIncludes bibliographical references.
000825481 5050_ $$aPreface -- 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.
000825481 506__ $$aAccess limited to authorized users.
000825481 520__ $$aThis 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.
000825481 588__ $$aOnline resource; title from PDF title page (viewed January 15, 2018).
000825481 650_0 $$aGeometry.
000825481 650_0 $$aMathematics$$vProblems, exercises, etc.
000825481 650_0 $$aMathematical recreations.
000825481 77608 $$iPrint version:$$aLiu, A. C. F. (Andrew Chiang-Fung).$$tS.M.A.R.T. circle minicourses.$$dCham, Switzerland : Springer, [2018]$$z3319717421$$z9783319717425$$w(OCoLC)1007923712
000825481 830_0 $$aSpringer texts in education.
000825481 852__ $$bebk
000825481 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-71743-2$$zOnline Access$$91397441.1
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000825481 980__ $$aBIB
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