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Geometrie in Problemen (MSRI Mathematical - Taschenbuch, von Alexander Shen - gut

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Gut: Buch, das gelesen wurde, sich aber in einem guten Zustand befindet. Der Einband weist nur sehr ...
Book Title
Geometry in Problems (MSRI Mathematical Circles Library)
ISBN
9781470419219
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
1470419211
ISBN-13
9781470419219
eBay Product ID (ePID)
219181905

Product Key Features

Number of Pages
214 Pages
Publication Name
Geometry in Problems
Language
English
Subject
Geometry / General
Publication Year
2016
Type
Textbook
Subject Area
Mathematics
Author
Alexander Shen
Series
Msri Mathematical Circles Library
Format
Trade Paperback

Dimensions

Item Height
0.6 in
Item Weight
14.5 Oz
Item Length
7 in
Item Width
10.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2015-049318
Dewey Edition
23
Reviews
What a joy! Shen's Geometry in Problems is a gift to the school teaching world. Beautifully organized by content topic, Shen has collated a vast collection of fresh, innovative, and highly classroom-relevant questions, problems, and challenges sure to enliven the minds and clever thinking of all those studying Euclidean geometry for the first time. This book is a spectacular resource for educators and students alike. Users will not only sharpen their mathematical understanding of specific topics but will also sharpen their problem-solving wits and come to truly own the mathematics explored. Also, Math Circle leaders can draw much inspiration for session ideas from the material presented in this book"". - James Tanton, Mathematician-at-Large, Mathematical Association of America. ""We learn mathematics best by doing mathematics. The author of this book recognizes this principle. He invites the reader to participate in learning plane geometry through carefully chosen problems, with brief explanations leading to much activity. The problems in the book are sometimes deep and subtle: almost everyone can do some of them, and almost no one can do all. The reader comes away with a view of geometry refreshed by experience"". - Mark Saul, Director of Competitions, Mathematical Association of America., What a joy! Shen's Geometry in Problems is a gift to the school teaching world. Beautifully organized by content topic, Shen has collated a vast collection of fresh, innovative, and highly classroom-relevant questions, problems, and challenges sure to enliven the minds and clever thinking of all those studying Euclidean geometry for the first time. This book is a spectacular resource for educators and students alike. Users will not only sharpen their mathematical understanding of specific topics but will also sharpen their problem-solving wits and come to truly own the mathematics explored. Also, Math Circle leaders can draw much inspiration for session ideas from the material presented in this book." - James Tanton, Mathematician-at-Large, Mathematical Association of America. "We learn mathematics best by doing mathematics. The author of this book recognizes this principle. He invites the reader to participate in learning plane geometry through carefully chosen problems, with brief explanations leading to much activity. The problems in the book are sometimes deep and subtle: almost everyone can do some of them, and almost no one can do all. The reader comes away with a view of geometry refreshed by experience." - Mark Saul, Director of Competitions, Mathematical Association of America
Series Volume Number
18
Illustrated
Yes
Dewey Decimal
516.22
Table Of Content
Measuring line segments Measuring angles The triangle inequality Congruent figures Triangle congruence tests Isosceles triangles Circle Straightedge and compass constructions Parallel lines Right triangles Parallelograms Rectangle, rhombus, square Graph paper Equilateral triangles Midsegment of a triangle Intercept theorem Trapezoid Simple inequalities Reflection symmetry Central symmetry Angles in a circle Tangents Two circles Circumscribed circle and perpendicular bisectors Inscribed circle (incircle) Bisectors Inscribed and circumscribed quadrilaterals Area The Pythagorean Theorem Similarity Coordinates on a line Coordinates on a plane Common measure Trigonometry Afterword
Synopsis
Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students. This book contains more than 750 (mostly) easy but non-trivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study. Each chapter also provides concise reminders of basic notions used in the chapter., Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students, even if it looks outdated from the professional mathematician's viewpoint. It provides an excellent choice of elegant and natural problems that can be used in a course based on problem solving. The book contains more than 750 (mostly) easy but nontrivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study (some with hints). Each chapter also provides concise reminders of basic notions used in the chapter, so the book is almost self-contained (although a good textbook and competent teacher are always recommended). More than 450 figures illustrate the problems and their solutions. The book can be used by motivated high-school students, as well as their teachers and parents. After solving the problems in the book the student will have mastered the main notions and methods of plane geometry and, hopefully, will have had fun in the process. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
LC Classification Number
QA455.S52713 2016

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