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Author: Yongcheng Chen
Publisher: Createspace Independent Publishing Platform
ISBN: 9781975681753
Category :
Languages : en
Pages : 218
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Book Description
Math Competition Books Series (9th book) This book introduces some commonly used skills to draw auxiliary lines in plane geometry problem solving. The book can be used by students preparing for math competitions such as Mathcounts, AMC 10/12/AIME.
Author: Yongcheng Chen
Publisher: Createspace Independent Publishing Platform
ISBN: 9781975681753
Category :
Languages : en
Pages : 218
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Book Description
Math Competition Books Series (9th book) This book introduces some commonly used skills to draw auxiliary lines in plane geometry problem solving. The book can be used by students preparing for math competitions such as Mathcounts, AMC 10/12/AIME.
Author: Evan Chen
Publisher: American Mathematical Soc.
ISBN: 1470466201
Category : Education
Languages : en
Pages : 311
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Book Description
This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.
Author: Yongcheng Chen
Publisher:
ISBN: 9781470130350
Category :
Languages : en
Pages : 222
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Book Description
Math Competition Books Series - The rearrangement inequality is a powerful problem-solving tool. For example, many fundamental inequalities, such as the AM-GM inequality, the Cauchy inequality, and the Chebyshev's inequality, can be generated from the rearrangement inequality.This book shows how you can use the rearrangement inequality to solve a variety of problems.The book can be used by students preparing for math competitions such as Mathcounts, AMC 10/12, AIME (American Invitational Mathematics Examination), and USAJMO/USAMO.
Author: Yongcheng Chen
Publisher: Createspace Independent Publishing Platform
ISBN: 9781542458702
Category :
Languages : en
Pages : 126
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Book Description
This is the first book of Math Contest Books Series. The book introduces a powerful problem solving technique - the mass points method. The book can be used by students preparing for math competitions such as Mathcounts, AMC 10/12/AIME. Second book of Math Contest Books Series: https: //www.amazon.com/Balls-Boxes-Yongcheng-Chen/dp/1540390578 Third book of Math Contest Books Series: https: //www.amazon.com/dp/1540856410
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599732998
Category : Geometry
Languages : en
Pages : 221
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Book Description
This book is a translation from Romanian of "Probleme Compilate şi Rezolvate de Geometrie şi Trigonometrie" (University of Kishinev Press, Kishinev, 169 p., 1998), and includes problems of 2D and 3D Euclidean geometry plus trigonometry, compiled and solved from the Romanian Textbooks for 9th and 10th grade students.
Author: Yongcheng Chen
Publisher: Createspace Independent Publishing Platform
ISBN: 9781540856418
Category :
Languages : en
Pages : 164
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Book Description
This is the third book of Math Contest Books Series. The book introduces the area method for solving geometry problems. The book can be used by students preparing for math competitions such as Mathcounts, AMC 8/10/12, and AIME. Each chapter consists of (1) basic skill and knowledge section with examples, (2) exercise problems, and (3) detailed solutions to all problems. First book of Math Contest Books Series. https: //www.amazon.com/Mass-Points-Method-Yongcheng-Chen/dp/1542458706 Second book of Math Contest Books Series: https: //www.amazon.com/Balls-Boxes-Yongcheng-Chen/dp/1540390578
Author: Sotirios E. Louridas
Publisher: Springer Science & Business Media
ISBN: 1461472733
Category : Mathematics
Languages : en
Pages : 238
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Book Description
"Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean Geometry. Before the complete solution of every problem, a key idea is presented so that the reader will be able to provide the solution. Applications of the basic geometrical methods which include analysis, synthesis, construction and proof are given. Selected problems which have been given in mathematical olympiads or proposed in short lists in IMO's are discussed. In addition, a number of problems proposed by leading mathematicians in the subject are included here. The book also contains new problems with their solutions. The scope of the publication of the present book is to teach mathematical thinking through Geometry and to provide inspiration for both students and teachers to formulate "positive" conjectures and provide solutions.
Author: Loren C. Larson
Publisher: Springer Science & Business Media
ISBN: 1461254981
Category : Mathematics
Languages : en
Pages : 322
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Book Description
This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.
Author: Alexander Sarana
Publisher: Courier Dover Publications
ISBN: 0486842533
Category : Mathematics
Languages : en
Pages : 430
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Book Description
This original work discusses mathematical methods needed by undergraduates in the United States and Canada preparing for competitions at the level of the International Mathematical Olympiad (IMO) and the Putnam Competition. The six-part treatment covers counting methods, number theory, inequalities and the theory of equations, metrical geometry, analysis, and number representations and logic. Includes problems with solutions plus 1,000 problems for students to finish themselves.
Author: Owen Byer
Publisher: American Mathematical Soc.
ISBN: 0883857634
Category : Mathematics
Languages : en
Pages : 485
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Book Description
Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics. This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.
