Could Kiselev's geometry books complete H.S Geometry?

  • #1
Patrick Nguyen
I was wondering if I read Kiselev's geometry books, would it count as a whole high school geometry curriculum? Currently, I am reading his first book, Planimetry, which is coming out as promising. I am planning to self-study geometry.
 

Answers and Replies

  • #2
73
18
I think it would be good I'm not familiar with the US gradings but this is what Amazon writes on their site:

The book is an English adaptation of a classical Russian grade school-level text in solid Euclidean geometry. It contains the chapters Lines and Planes, Polyhedra, Round Solids, which include the traditional material about dihedral and polyhedral angles, Platonic solids, symmetry and similarity of space figures, volumes and surface areas of prisms, pyramids, cylinders, cones and balls. The English edition also contains a new chapter Vectors and Foundations (written by A. Givental) about vectors, their applications, vector foundations of Euclidean geometry, and introduction to spherical and hyperbolic geometries. This volume completes the English adaptation of Kiselev's Geometry whose 1st part ( Book I. Planimetry ), dedicated to plane geometry, was published by Sumizdat in 2006 as ISBN 0977985202.
Both volumes of Kiselev's Geometry are praised for precision, simplicity and clarity of exposition, and excellent collection of exercises. They dominated Russian math education for several decades, were reprinted in dozens of millions of copies, influenced geometry education in Eastern Europe and China, and are still active as textbooks for 7-11 grades. The books are adapted to the modern US curricula by a professor of mathematics from UC Berkeley.

So it goes untill grade 11, so if I understand Wiki correct this is Senior Highschool.
 
  • #3
1,018
246
It is great and very thorough. I much prefer Moise/Downs: Geometry. This book can be purchased for under 15 dollars.
 
  • #6
1,018
246
https://www.amazon.com/dp/0201050285/?tag=pfamazon01-20&tag=pfamazon01-20

Not sure why it is more expensive now. Maybe I bought all the cheap copies? I usually give these out to students.
Look around on other used book sites. Abehbooks is one of them.

It is a great book! I love the chapter that explains what existence and uniqueness is. Also, the chapter proof by contradiction. Really neat exercises. The book is engaging and well explained. I my only problem, is that the book lacks constructions, but since you have Kiselev, that is not in issue. He does have a chapter explaining contractions and the famous impossible constructions.

He wrote a really wonderful Calculus text that is a forgotten Gem.
 
  • #7
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9
So which is better for an introduction for undergraduates? Kiselev or Moise's Elementary Geometry from an Advanced Standpoint/Geometry?
 
  • #8
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246
So which is better for an introduction for undergraduates? Kiselev or Moise's Elementary Geometry from an Advanced Standpoint/Geometry?
Elementary Geometry is not an itroduction. It should be read after finishing kiselev. The Moise geometry book I mentioned is his more elementary one.
 
  • #9
224
9
Elementary Geometry is not an itroduction. It should be read after finishing kiselev. The Moise geometry book I mentioned is his more elementary one.
So how does Kiselev compare to Lang's Geometry book?

Is it a good plan to read Lang's Geometry then Elementary Geometry from an Advanced Standpoint by Moise?
 

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