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Fb2 Challenging Problems in Geometry (Dover Books on Mathematics) ePub

by Charles T. Salkind,Alfred S. Posamentier

Category: Mathematics
Subcategory: Science books
Author: Charles T. Salkind,Alfred S. Posamentier
ISBN: 0486691543
ISBN13: 978-0486691541
Language: English
Publisher: Dover Publications; 2nd Revised ed. edition (May 21, 1996)
Pages: 272
Fb2 eBook: 1437 kb
ePub eBook: 1288 kb
Digital formats: mobi azw txt lrf

Details Why solve problems? Here's an excerpt from a letter Dr. Posamentier sent to The New York Times following an article about Martin Gardner's career in 2009.

Why solve problems? Here's an excerpt from a letter Dr. Posamentier sent to The New York Times following an article about Martin Gardner's career in 2009

Challenging Problems in Geometry ALFRED S. POSAMENTIER Professor ofMathematics Education The City. I liked this book very much

Challenging Problems in Geometry ALFRED S. Download Schaum's 3,000 Solved Problems in Physics - wodecave. 3 Pages·2011·38 KB·14,319 Downloads. million students have trusted Schaum’s Outlines for their expert 3,000 Solved Problems Download. Challenging Problems in Algebra. 43 MB·123 Downloads·New! "challenges. I liked this book very much statistics for people who hate statistics.

Designed for high school students and teachers with an interest in mathematical problem-solving, this volume offers a wealth of nonroutine problems i. .

Read Challenging Problems in Geometry, by Alfred . osamentier, Charles . alkind online on Bookmate – Designed for high school students and teachers with an interest in mathematical problem-solvin. Designed for high school students and teachers with an interest in mathematical problem-solving, this volume offers a wealth of nonroutine problems in geometry that stimulate students to explore unfamiliar or little-known aspects of mathematics. Included are nearly 200 problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many other.

Alfred S. Posamentier, Charles T Salkind. Mathematics clubs might use this book as a source of independent projects or activities. p. cm. "An unabridged, very slightly altered republication ofthe work first published. ABOUT THE BOOK Challenging Problems in Algebra is organized into three main parts: "Problems," "Solutions," and "Answers. Unlike many contemporary problem-solving resources. this book is arranged not by problem-solving technique, but by topic. Whatever the use, experience has shown that these problems motivate people of all ages to pursue more vigorously the study of mathematics.

For Dover he provided, with co-author Charles T. Salkind, something very educational and also fun, two long-lived books of problems: Challenging Problems in Geometry and Challenging Problems in Algebra, both on the Dover list since 1996

For Dover he provided, with co-author Charles T. Salkind, something very educational and also fun, two long-lived books of problems: Challenging Problems in Geometry and Challenging Problems in Algebra, both on the Dover list since 1996. Why solve problems? Here's an excerpt from a letter Dr. Posamentier sent to The New York Times following an article about Martin Gardner’s career in 2009: "Teachers shouldn't think that textbook exercises provide problem-solving experiences - that's just drill. Genuine problem solving is what Mr. Gardner has been espousing. Posamentier, Charles T. Salkind. You may be interested in. Challenging Problems in Geometry. Alfred S. Stimulating collection of over 300 unusual problems involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, and more. Problems range from easy to difficult. Detailed solutions, as well as brief answers, for all problems are provided. Pages: 288, 273. ISBN 10: 0486691489. ISBN 13: 9780486691480. Series: Dover Books on Mathematics. I liked this book very much. I solved every single problem in the book with two students that I tutor for International Math Olympiads and carefully read the hints and solutions proposed at the end of the book

Alfred S. I solved every single problem in the book with two students that I tutor for International Math Olympiads and carefully read the hints and solutions proposed at the end of the book. They really teach how to "attack" geometry problems using simple stuff like angle chasing, drawing parallel lines etc. I cannot recommend this book more to the readers with some mathematical sophistication.

Challenging problems in geometry, Том 1 Alfred S. Posamentier .

He is the author or co-author of more than 40 mathematics books for teachers, students, and general readers including The Fascinating Fibonacci Numbers (Prometheus, 2007) and Mathematical Amazements and Surprises: Fascinating Figures and Noteworthy Numbers (Prometheus, 2009). Posamentier sent to The New York Times following an article about Martin Gardner's career in 2009: "Teachers shouldn't think that textbook exercises provide problem-solving experiences - that's just drill.

Challenging problems in geometry, Alfred S. This book may be used in a variety of ways. Originally published: New York: The Macmillan Company, 1970. It is a valuable supplement to the basic geometry textbook, both for further explorations on specific topics and for practice in developing problem-solving techniques. The book also has a natural place in preparing individuals or student teams for participation in mathematics contests. File: EPUB, 2. 9 MB. Save for later. Stimulating collection of unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many other topics.

Designed for high school students and teachers with an interest in mathematical problem-solving, this volume offers a wealth of nonroutine problems in geometry that stimulate students to explore unfamiliar or little-known aspects of mathematics.Included are nearly 200 problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many other subjects. Within each topic, the problems are arranged in approximate order of difficulty. Detailed solutions (as well as hints) are provided for all problems, and specific answers for most.Invaluable as a supplement to a basic geometry textbook, this volume offers both further explorations on specific topics and practice in developing problem-solving techniques.
Comments to eBook Challenging Problems in Geometry (Dover Books on Mathematics)
Cordann
Instead of doing what most other geometry problem books do - pose problems and give shortened answers - Posamentier has chosen a different tack. This book has 45 pages of Problems, 175 pages of Solutions, and 18 pages of Hints. This enables the reader to get a Hint instead of the full solution. So far, the Hints are spot on. At the end is a numbered list of all the Definitions, Postulates and Theorems used as well as a list of Selected Formulae.

The book is structured into two sections: the first is suitable for use as exam questions in a standard high school geometry course while the second section covers advanced Euclidean topics. The chapters in the second section are: A Geometric Potpourri, Ptolomy and the Cyclic Quadrilateral, Menelaus and Ceva: Collinearity and Concurrency, The Simson Line, and The Theorem of Stewart.

This book is certain to satisfy anyone who wants to continue their Euclidean geometry education.
Rollers from Abdun
It's late at night, hard day's night :) The girl is sleeping already, the dogs snoring quietly in the kitchen, I'm about to go to sleep. But before that - just one look in this book, just one problem to fall asleep with. Ah, hour an a half later when the problem is solved I really off to bed :)
It's such a fun book. Some of the problems are unimaginary hard. Some are easier. All of them are enjoyable, challenging and satisfying. For whom who loves geometry and loves to play with proofs and theorems - You will love it.
Jogrnd
Posamentiers' book is a little bit unbalanced. It contains around 200 problems with solutions. The easy problems are just what you would expect in the exercises sections of an introduction to Euclidean geometry like Kiselev's Geometry / Book I. Planimetry. The the harder problems you will find as classical theorems and examples in more advanced texts like Altshiller Courts' College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle (Dover Books on Mathematics). A more balanced text would have contained more intermediate problems and the harder ones would have been more "original".

The methods used are purely synthetic, no analytic geometry. The book is aimed at an advanced high school level audience. Prerequisite is the stuff you find in a book like kiselev I mentioned above.

If you need a book to train your geometric problem solving abilities I think that Altshiller Courts' book is a better choice although there are no solutions to the exercises in that book. But what use are the solutions? Problems should be solved and not looked up!

For many problems, especially the hard ones, several solutions are provided. To me this is what makes the book attractive.
Dog_Uoll
I liked this book very much. I solved every single problem in the book with two students that I tutor for International Math Olympiads and carefully read the hints and solutions proposed at the end of the book. They really teach how to "attack" geometry problems using simple stuff like angle chasing, drawing parallel lines etc. I cannot recommend this book more to the readers with some mathematical sophistication. I even have a suggestion for parents that have some sort of mathematical background (engineers, bankers, doctors, etc.): If you want to spend quality time with your children, get this book and enjoy solving the problems together. I cannot imagine a more amusing pastime. I am looking forward to seeing new titles from the authors.
Barinirm
Problems are not well organized and some are way too difficult.
Abandoned Electrical
I bought this book trying to teach Geometry to my daughter in 9th grade. The collection of problems is exceptional. Only a third of the book lists the problems. Rest of the book has the solutions. Several problems have multiple solutions. I learned just by reading through several solutions. And I re-learned explaining them to my daughter. Most of the problems are not for the faint of heart. But the hours spent discovering the solutions with your student will be very rewarding. It was for me.
The_NiGGa
Very good problems for geometry admirer. Level of AP Geometry.
Fine book, but not good for what I wanted it for, which was to pull challenge problems for HS Geometry students.
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