Download or read book Problem Solving Using Auxiliary Lines written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2017-10-02 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Problem Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
Download or read book Euclidean Geometry in Mathematical Olympiads written by Evan Chen and published by American Mathematical Soc.. This book was released on 2021-08-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Mass Points Method written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2017-01-10 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Compiled and Solved Problems in Geometry and Trigonometry written by Florentin Smarandache and published by Infinite Study. This book was released on 2015-05-01 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Art and Craft of Problem Solving written by Paul Zeitz and published by John Wiley & Sons. This book was released on 2017 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.
Download or read book Problem Solving Using the Rearrangement Inequality written by Yongcheng Chen and published by . This book was released on 2019-10-02 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Problem Solving and Selected Topics in Euclidean Geometry written by Sotirios E. Louridas and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Problem Solving Using the Am gm Inequality written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2017-07-18 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math Competition Books Series -- The AM-GM inequality is a powerful problem-solving tool. This book shows how you can use the AM-GM Inequality to solve a variety of problems, such as geometry, equations, inequalities, and finding the maximum/minimum value. The book can be used by students preparing for math competitions such as Mathcounts, AMC 8/10/12, and AIME (American Invitational Mathematics Examination). Each chapter consists of (1) basic skill and knowledge section with examples, (2) exercise problems, and (3) detailed solutions to all problems. 9th book: Problem Solving Using Auxiliary Lines https: //www.amazon.com/dp/1975681754 10th book: https: //www.amazon.com/Problem-Solving-Using-Vietas-Theorem/dp/1542800056
Download or read book Problem Solving Through Problems written by Loren C. Larson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Area Method written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2017-01-15 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Concepts and Problems for Mathematical Competitors written by Alexander Sarana and published by Courier Dover Publications. This book was released on 2020-08-12 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Machine Proofs in Geometry written by Shang-Ching Chou and published by World Scientific. This book was released on 1994 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education.
Download or read book Methods for Euclidean Geometry written by Owen Byer and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Intelligent Tutoring Systems written by Barry P. Goettl and published by Springer. This book was released on 2003-06-29 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first International Conference on Intelligent Tutoring Systems (ITS) was held ten years ago in Montreal (ITS ’88). It was so well received by the international community that the organizers decided to do it again in Montreal four years later, in 1992, and then again in 1996. ITS ’98 differs from the previous ones in that this is the first time the conference has been held outside of Montreal, and it’s only been two years (not four) since the last one. One interesting aspect of the ITS conferences is that they are not explicitly bound to some organization (e.g., IEEE or AACE). Rather, the founder of these conferences, Claude Frasson, started them as a means to congregate researchers actively involved in the ITS field and provide a forum for presentation and debate of the most currently challenging issues. Thus the unifying theme is science. This year’s “hot topics” differ from those in the earlier ITS conferences as they reflect ever changing trends in ITS research. A few of the issues being examined at ITS ’98 include: Web based tutoring systems, deploying ITS in the real world, tutoring and authoring tools, architectures, and knowledge structure and representation.
Download or read book Problem Solving Strategies for Efficient and Elegant Solutions Grades 6 12 written by Alfred S. Posamentier and published by Corwin Press. This book was released on 2008-03-20 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." —Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." —Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods—including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation—make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.
Download or read book Solving Free boundary Problems with Applications in Finance written by Kumar Muthuraman and published by Now Publishers Inc. This book was released on 2008 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outlines and explains a recent computational method that solves free boundary problems by reducing them into a sequence of fixed boundary problems which are relatively easy to solve numerically.
