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Kiselev's Geometry / Book II. Stereometry
 
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Kiselev's Geometry / Book II. Stereometry [Hardcover]

A. P. Kiselev (Author), Adapted from Russian by Alexander Givental (Editor)
5.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

September 1, 2008
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.


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About the Author

A. P. Kiselev (1852-1940) was a Russian math teacher, and the author of middle- and high-school level textbooks in Arithmetic, Algebra and Geometry which dominated math education and professional development in Russia and the Soviet Union for many decades.

Product Details

  • Hardcover: 180 pages
  • Publisher: Sumizdat (September 1, 2008)
  • Language: English
  • ISBN-10: 0977985210
  • ISBN-13: 978-0977985210
  • Product Dimensions: 8.6 x 5.7 x 0.7 inches
  • Shipping Weight: 11.2 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #373,386 in Books (See Top 100 in Books)

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5.0 out of 5 stars Solid book, December 21, 2011
By 
Basilik (Ontario, Canada) - See all my reviews
This review is from: Kiselev's Geometry / Book II. Stereometry (Hardcover)
Kiselev's Stereometry is a sequel to the first book and deals with solid geometry - a subject that should not be overlooked. Solid geometry (or stereometry) is the generalization of plane geometry to three dimensions and deals with such things as planes, dihedral angles, polyhedral angles, surface area, volume, polyhedrons, prisms, parallelepipeds, pyramids, 5 regular polyhedra, cylinders, cones, and spheres. The treatment is very terse but fully rigorous and slick proofs are provided for most theorems. The questions are quite difficult and there are ~200 of them spread throughout the different sections. What I found unique in this book is that explicit construction of the 5 regular polyhedra is actually discussed. There is a final section on vectors and their applications to geometry and a brief introduction to non-Euclidean geometries, with a set of ~100 questions; I skipped this section entirely so my review is confined largely to the bulk of the book dealing with actual geometry.

Overall a great book with an excellent set of exercises. Be warned however it is very difficult and will require time and dedication to plough through. For a more gentle exposition to this same subject check out Wentworth's Plane and Solid Geometry.
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