Solving Problems In Geometry

Author: Kim Hoo Hang
Publisher: World Scientific Publishing Company
ISBN: 9814583766
Size: 55.70 MB
Format: PDF, ePub, Docs
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This new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems. This book is suitable for any reader with elementary geometrical knowledge at the lower secondary level. Each chapter includes sufficient scaffolding and is comprehensive enough for the purpose of self-study. Readers who complete the chapters on the basic theorems and techniques would acquire a good foundation in geometry and may attempt to solve many geometrical problems in various mathematical competitions. Meanwhile, experienced contestants in Mathematical Olympiad competitions will find a large collection of problems pitched at competitions at the international level, with opportunities to practise and sharpen their problem-solving skills in geometry. Request Inspection Copy

Mathematical Olympiad In China 2011 2014

Author: Xiong Bin
Publisher: World Scientific
ISBN: 9813142952
Size: 14.20 MB
Format: PDF, ePub, Mobi
View: 2917
The International Mathematical Olympiad (IMO) is a very important competition for high school students. China has taken part in the IMO 31 times since 1985 and has won the top ranking for countries 19 times, with a multitude of gold medals for individual students. The six students China has sent every year were selected from 60 students among approximately 300 students who took part in the annual China Mathematical Competition during the winter months. This book includes the problems and solutions of the most important mathematical competitions from 2010 to 2014 in China, such as China Mathematical Competition, China Mathematical Olympiad, China Girls' Mathematical Olympiad. These problems are almost exclusively created by the experts who are engaged in mathematical competition teaching and researching. Some of the solutions are from national training team and national team members, their wonderful solutions being the feature of this book. This book is useful to mathematics fans, middle school students engaged in mathematical competition, coaches in mathematics teaching and teachers setting up math elective courses.

Introduction To Tensor Analysis And The Calculus Of Moving Surfaces

Author: Pavel Grinfeld
Publisher: Springer Science & Business Media
ISBN: 1461478677
Size: 64.73 MB
Format: PDF, ePub
View: 7503
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem.

Pisa 2003 Technical Report

Author: OECD
Publisher: OECD Publishing
ISBN: 9264010548
Size: 61.79 MB
Format: PDF, ePub, Docs
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The PISA 2003 Technical Report describes the complex methodology underlying PISA 2003, along with additional features related to the implementation of the project at a level of detail that allows researchers to understand and replicate its analyses.

Pisa Learning For Tomorrow S World First Results From Pisa 2003

Author: OECD
Publisher: OECD Publishing
ISBN: 9264006419
Size: 36.95 MB
Format: PDF
View: 5191
This report presents the first internationally comparable results to OECD's 2003 Programme for International Student Assessment (PISA) Survey of the educational performance of 15-year-olds in reading, mathematics, and science in 25 OECD countries.

Geometry Leveled Problems Use Clues To Draw Shapes

Author: Linda Dacey, Ed.D.
Publisher: Teacher Created Materials
ISBN: 1480786209
Size: 23.54 MB
Format: PDF, Mobi
View: 2388
Differentiate problem solving in your classroom using effective, research-based strategies. This lesson requires students to use clues to draw shapes. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.

Convex Optimization In Normed Spaces

Author: Juan Peypouquet
Publisher: Springer
ISBN: 3319137107
Size: 10.65 MB
Format: PDF
View: 5546
This work is intended to serve as a guide for graduate students and researchers who wish to get acquainted with the main theoretical and practical tools for the numerical minimization of convex functions on Hilbert spaces. Therefore, it contains the main tools that are necessary to conduct independent research on the topic. It is also a concise, easy-to-follow and self-contained textbook, which may be useful for any researcher working on related fields, as well as teachers giving graduate-level courses on the topic. It will contain a thorough revision of the extant literature including both classical and state-of-the-art references.

The Puzzle Instinct

Author: Marcel Danesi
Publisher: Indiana University Press
ISBN: 9780253109194
Size: 65.65 MB
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One of the most famous anagrams of all time was constructed in the Middle Ages. The unknown author contrived it as a Latin dialogue between Pilate and Jesus. Jesus' answer to Pilate's question "What is truth" is phrased as an ingenious anagram of the letters of that very question: Pilate: Quid est veritas? ("What is truth?") Jesus: Est virqui adest. ("It is the man before you.") The origin of anagrams is shrouded in mystery. One thing is clear, however -- in the ancient world, they were thought to contain hidden messages from the gods. Legend has it that even Alexander the Great (356--323 b.c.) believed in their prophetic power. -- from Chapter Two The most obvious explanation for the popularity of puzzles is that they provide a form of constructive entertainment. But in The Puzzle Instinct Marcel Danesi contends that the fascination with puzzles throughout the ages suggests something much more profound. Puzzles serve a deeply embedded need in people to make sense of things. Emerging at the same time in human history as myth, magic, and the occult arts, the puzzle instinct, he claims, led to discoveries in mathematics and science, as well as revolutions in philosophical thought. Puzzles fill an existential void by providing "small-scale experiences of the large-scale questions that Life poses. The puzzle instinct is, arguably, as intrinsic to human nature as is humor, language, art, music, and all the other creative faculties that distinguish humanity from all other species."