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Kiselev's Geometry / Book I. Planimetry Hardcover – December 31, 2006

by A. P. Kiselev (Author), Alexander Givental (Author)

15 customer reviews

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This is an English translation of a classical Russian grade school-level text in plane Euclidean geometry. (The solid geometry part is published as Kiselev's Geometry / Book II. Stereometry ISBN 0977985210.) The book dominated in Russian math education for several decades, was reprinted in dozens of millions of copies, influenced geometry education in Eastern Europe and China, and is still active as a textbook for 7-9 grades. The book is adapted to the modern US curricula by a professor of mathematics from UC Berkeley.

Kiselev's Geometry / Book I. Planimetry

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Product Details

Hardcover: 248 pages
Publisher: Sumizdat (September 1, 2006)
Language: English
ISBN-10: 0977985202
ISBN-13: 978-0977985203
Product Dimensions: 8.6 x 5.6 x 0.8 inches
Shipping Weight: 15.2 ounces (View shipping rates and policies)
Average Customer Review: 4.5 out of 5 stars See all reviews (15 customer reviews)
Amazon Best Sellers Rank: #322,872 in Books (See Top 100 in Books)
- #674 in Books > Education & Teaching > Schools & Teaching > Homeschooling
- #1056 in Books > Education & Teaching > Schools & Teaching > Certification & Development

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Customer Reviews

4.5 out of 5 stars

5 star		73%
4 star		7%
3 star		13%
2 star		7%
1 star		0%

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Most Helpful Customer Reviews

53 of 55 people found the following review helpful

Exceptional and unique book!

By Lilia T on February 23, 2007

Format: Hardcover

This is a unique book that not only introduces the students to the world of 2-D Geometry, but teaches them fundamental concepts of mathematical logic and rigorous proof.

All the definitions and theorems are very well illustrated and discussed in a thought-provoking way. All pictures are intuitive and simple, and in many instances show different ways of thinking about the same concept, or problem, or idea.

The book achieves an extraordinary goal - using only elementary concepts it opens the world of real mathematics.

This goal is achieved by a combination of the time-proved approach to introducing the concepts of axioms, theorems, and proofs and an exceptionally rich set of well-tested exercises and problems of various levels of difficulty.

Kiselev's Geometry will greatly benefit every middle-school and high-school student who will study it carefully and thoughtfully. The benefits will go far beyond Geometry, as the students will gain ability to think about new concepts, approaches, ideas, and these skills are applicable to every single domain of the modern human knowledge.

The instruction of a competent and enthusiastic teacher is definitely needed for most students studying this book, as the material has to be discussed and played with.

This is not a self-study manual.

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33 of 34 people found the following review helpful

The Legendary Geometry Book

By Natalia Smirnova on April 11, 2008

Format: Hardcover

There is no such person in Russia who never heard anything about "Geometry" by A. Kiselev. Usually students quickly forget names printed on covers of their school textbooks, but the name "Kiselev" became a legend. Several generations of Russian school students learned to think mathematically by studying this book.
Kiselev's Geometry is written in a plain language. Material is organized in a very logical way. All definitions, axioms and theorems are formulated in an absolutely precise mathematical style. All pictures are clear. All proofs are straightforward. This gives students an opportunity to understand everything in this book even after first reading and helps to build solid knowledge in geometry.
For people who wants to form their own opinion I would also recommend to read Translator's Foreword and take a look on sample pages (there are 49 of them) at the publisher's website: [...]

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19 of 19 people found the following review helpful

Comments from a parent on Book I

By JS on December 27, 2013

Format: Hardcover Verified Purchase

Thirty five years ago when I was at school in China, I learned Euclidean geometry (both plane and solid) from my excellent math teachers. I enjoyed spending hours solving and proving hard problems. I had great pleasure from working on these problems - although a child, I felt capable of deducing something new based on a few simple definitions, axioms and theorems. More importantly, it enriched my life by making me appreciate the elegance of math and physical sciences.

Fast forward to the time when my child started grade 8 in Canada, to my great disappointment, the geometry education in North America has deteriorated to merely some formulas for simple calculations and sporadic geometrical facts without justifications. At the same time, the math textbooks are stuffed with some strange "innovations": mindless tessellation, confusing figure rotation, invalid "proof" by measurement, etc.

After shaking my head too many times, I decided to take matters into my own hands and to introduce my child to the beauty of Euclidean geometry. After browsing a few geometry books, I fell in love with this book. It has contents and styles almost identical to what I learned before. I even found many problems I solved decades ago. (In his preface, Prof. Givental mentioned that Kiselev had a great influence on geometry education in Eastern Bloc and China.) We had a slow start but we managed to finish the book in one year. For each worked theorem in the book, I explained the proof to my child first, and then asked her to read it and finally prove it in her language. This way, she studied and proved every worked theorem in the book. She also proved most of the proof problems and solved about 75% of the computation problems in the exercises.Read more ›

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12 of 12 people found the following review helpful

Best Synthetic Geometry Textbook for High School, but...

By Cory Dean on August 6, 2013

Format: Hardcover Verified Purchase

Warning: This book is a translation and has not been edited to make it easy to read. Part of why the book is hard to read is that all the given geometric information is presented in the order necessary to construct the corresponding figure (an important skill in geometry is to draw what you are proving! Geometry is visual, after all).

Unfortunately, common core and most other existing state standards screw up otherwise great books like this. These days, most geometry courses include too much material on co-ordinate geometry (useful in say the sciences at lower levels but not so useful for mathematicians and research scientists, especially when they have entire fields and courses dedicated to making everything co-ordinate-less), applications (again, leave this to the science courses. We do poorly in international rankings because we focus too little on learning the mathematical ideas), and misc. topics that get thrown in (e.g. the combined algebra and geometry courses now common in some districts).

This book stands out as one of the few remaining pure synthetic geometry textbooks. Synthetic simply refers to using axioms and definitions and proving theorems from them. Instead of calculations, the field, and this book, rely on logic. Every step must be and is justified. Classical proofs (alternative proofs are usually not given) are presented for all of the essential theorems, with none but the most specialized (usually contest and olympiad level material) left out. Note that this book only covers 2D geometry. For 3D geometry and vectors, use the second book, also by this author.Read more ›

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Most Recent Customer Reviews

Five Stars

It is a text book.

Published 10 months ago by Beicheng Jiang

Five Stars

Exactly as promised, wish the delivery time was quicker but product & service 5*. Thanks a lot!

Published 13 months ago by Cal

Highly recommended

Very good book for 7-8 th graders. Only thing there no answers in back so parents or somebody with good knowledge of geometry needed to check answers.

Published 16 months ago by Sumana

I loved geometry in school (Eastern Europe

I loved geometry in school (Eastern Europe, 35 years ago) and used it at my job and in life. I have been looking for a book for my children since the geometry they learn in school... Read more

Published 17 months ago by TV

A little too Russian for me.

I wanted to like this book, because I believe in rigorous mathematics. Unfortunately, it's pretty uninviting. Read more

Published on August 7, 2013 by Tumblemark

Excellent

Bought both Planimetry and Stereometry. Both came even under time preview, and flawless. No scratches or marks of any kind whatsoever. Good book, basic geometry as it's finest. Read more

Published on July 18, 2013 by Álvaro Augusto Volpato

An excellent geometry textbook for middle school students

This work by Kiselev was first published in 1892 and it remained a staple of Russian mathematical education until 1955, when it was officially phased out. Read more

Published on May 29, 2011 by Charles Ashbacher

The language is not lucid

The geometric concepts are presented well, but the language is not clear. The topic requires not just an explanation of points, rays, lines, segments, circles, angles and other... Read more

Published on January 12, 2009 by Ben

Kiselev's Geometry

I am a homeschooler grandpa with EE educational background and retired from a career in industry doing computing,math & statistics. Read more

Published on September 14, 2008 by Robert Marsh

Far better than the mediocre books currently in my childrens...

Being obsessed in creating "more accessible" learning material for the higher grades, boards of education around the globe tend to approved what can be best described as mediocre... Read more

Published on July 21, 2008 by Gilad Orr

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