000			04033nam a22004455i 4500
999			_c98297 _d98297
001			978-3-319-71743-2
003			DE-He213
005			20191024173008.0
007			cr nn 008mamaa
008			171230s2018 gw | s |||| 0|eng d
020			_a9783319717432
024	7		_a10.1007/978-3-319-71743-2 _2doi
040			_cМУБИС
050		4	_aLC8-6691
072		7	_aJNU _2bicssc
072		7	_aEDU029010 _2bisacsh
072		7	_aJNU _2thema
072		7	_aPB _2thema
082	0	4	_a370 _223
100	1		_aLiu, Andrew Chiang-Fung. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aS.M.A.R.T. Circle Minicourses _h[electronic resource] / _cby Andrew Chiang-Fung Liu.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2018.
300			_aXIV, 244 p. 173 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Texts in Education, _x2366-7672
505	0		_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.
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.
650		0	_aMathematics.
650	1	4	_aMathematics Education. _0http://scigraph.springernature.com/things/product-market-codes/O25000
710	2		_aSpringerLink (Online service)
776	0	8	_iPrinted edition: _z9783319717425
776	0	8	_iPrinted edition: _z9783319717449
830		0	_aSpringer Texts in Education, _x2366-7672
856	4	0	_uhttps://doi.org/10.1007/978-3-319-71743-2 _yElectronic version-Цахим хувилбар
942			_2ddc _cEBOOK