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Challenging Problems In Geometry

Author : Alfred S. Posamentier
ISBN : 9780486134864
Genre : Mathematics
File Size : 41. 11 MB
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Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.

Challenging Problems In Algebra

Author : Alfred S. Posamentier
ISBN : 9780486131542
Genre : Mathematics
File Size : 77. 19 MB
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Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

Problem Solving Through Problems

Author : Loren C. Larson
ISBN : 9781461254980
Genre : Mathematics
File Size : 35. 99 MB
Format : PDF, Mobi
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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.

Solving Mathematical Problems

Author : Terence Tao
ISBN : 9780199205615
Genre : Mathematics
File Size : 21. 2 MB
Format : PDF, ePub, Mobi
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Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of14 years and above in pure mathematics.

Problem Solving In All Seasons Grades 3 5

Author : Kim Markworth
ISBN : 0873537726
Genre : Mathematics
File Size : 82. 65 MB
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Methods Of Solving Complex Geometry Problems

Author : Ellina Grigorieva
ISBN : 9783319007052
Genre : Mathematics
File Size : 85. 92 MB
Format : PDF, Kindle
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This book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving. Written by an accomplished female mathematician who struggled with geometry as a child, it does not intimidate, but instead fosters the reader’s ability to solve math problems through the direct application of theorems. Containing over 160 complex problems with hints and detailed solutions, Methods of Solving Complex Geometry Problems can be used as a self-study guide for mathematics competitions and for improving problem-solving skills in courses on plane geometry or the history of mathematics. It contains important and sometimes overlooked topics on triangles, quadrilaterals, and circles such as the Menelaus-Ceva theorem, Simson’s line, Heron’s formula, and the theorems of the three altitudes and medians. It can also be used by professors as a resource to stimulate the abstract thinking required to transcend the tedious and routine, bringing forth the original thought of which their students are capable. Methods of Solving Complex Geometry Problems will interest high school and college students needing to prepare for exams and competitions, as well as anyone who enjoys an intellectual challenge and has a special love of geometry. It will also appeal to instructors of geometry, history of mathematics, and math education courses.

College Geometry

Author : Nathan Altshiller-Court
ISBN : 9780486141374
Genre : Mathematics
File Size : 77. 25 MB
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The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.

Solving Problems In Geometry

Author : Kim Hoo Hang
ISBN : 9789814583763
Genre :
File Size : 56. 42 MB
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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

Famous Problems Of Geometry And How To Solve Them

Author : Benjamin Bold
ISBN : 0486242978
Genre : Science
File Size : 23. 67 MB
Format : PDF, Kindle
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Amateur puzzlists as well as students of mathematics and geometry will relish this rare opportunity to match wits with Archimedes, Euclid, Newton, Descartes, and other great mathematicians. Each chapter explores an individual type of geometric challenge, with commentary and practice problems, and reveals a milestone in the development of mathematics. Solutions.

How To Solve It

Author : G. Polya
ISBN : 9781400828678
Genre : Mathematics
File Size : 63. 88 MB
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A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out—from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft—indeed, brilliant—instructions on stripping away irrelevancies and going straight to the heart of the problem.

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