The Stereometry book adapted from Russian by A. Givental is the second part of the legendary Kiselev’s Geometry. It first appeared in as a second half of a. In mathematics, solid geometry is the traditional name for the geometry of three- dimensional Euclidean space. Stereometry deals with the measurements of volumes of various solid figures Kiselev, A. P. (). Geometry. Book II. Stereometry. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in Kiselev’s Geometry: Stereometry, Book 2. Front Cover.
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Trivia About Kiselev’s Geometr He was probably also the discoverer of a proof that the volume enclosed by a sphere is proportional to the cube of its radius. Biblio is a marketplace for book collectors comprised of thousands of independent, professional booksellers, located all over the world, who list their books for sale online so that stereomeyry like you can find them!
From Wikipedia, the free encyclopedia. There are no discussion topics on this book yet. Kiselev’s Geometry, Book I. The chapters on space symmetries and regular polyhedra have been expanded by the translator; this is the only stereometry book I am aware of which discusses the symmetry in line along with the central and mirror symmetries in space.
Jack Kinsella marked it as to-read Dec 16, East Dane Designer Men’s Fashion. Various techniques and tools are used in solid geometry. Elisha marked it as to-read Apr 01, Among them, analytic geometry and vector techniques have a stereometrry impact by allowing the systematic use of linear equations and matrix algebra, which are important for higher dimensions.
Kiselev’s Geometry: Stereometry – Andreĭ Petrovich Kiselev – Google Books
In the manner of expression: If you are a seller for this product, would you like to suggest updates through seller support? Everything is to the point.
Givental makes an observation that van Hiele’s theory consists of four independent assertions about the possibility of four transitions between the five levels. The book is an English adaptation of a classical Russian grade school-level text in solid Euclidean geometry. By Kiselev’s Geometry was said to become a bibliographic rarity although there was a edition and has been republished again as a steeometry for teacher colleges.
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 grades.
Since it originated invan Hiele’s theory has been supported by active research and numerous field studies. Later on, he applies the principle to determine the volume of a ball but now without proof and makes use of the opportunity to mention the work of Archimedes and of the recovery of his tomb by Cicero.
To see what your friends thought of this book, please sign up. Sharygin, has authored a dozen geometry manuals and problem books for tsereometry school levels.
Jonathan marked it as to-read Koselev 13, No trivia or quizzes yet. The van Hiele model stipulates that the ability of a learner to process geometric knowledge is determined by the level of geometric abstraction achieved by the learner. Sumizdat September 1, Language: His books are the epitome of the logical structure, proof being the main vehicle of the material build-up, rather like in Euclid’s Elements. Vanio Begic marked it as to-read Mar 12, Vincent marked it as to-read Oct 13, ComiXology Thousands of Digital Comics.
Kiselev’s Geometry / Book II. Stereometry
Top Reviews Most recent Top Reviews. Stereometry deals with the measurements of volumes of various solid figures three-dimensional figures including pyramidsprisms and other polyhedrons ; cylinders ; cones ; truncated cones ; and balls bounded by spheres.
Want to Read saving…. Learn more click to open popover Customers who bought this item also bought Page 1 of 1 Start over Page 1 of 1 This shopping feature will continue to load items. The history of the math education reform in the US in the 20 th century is a sequence of failed innovation. Tikhonov who observed, albeit with some reservations, that the pedagogical mastery with which the book was written, the simplicity and consistency of the exposition, kept the book from becoming obsolete.
The add-on chapter is an excellent introduction into vectors spaces and space dimension that fits snugly into Kiselev’s text and style. A High School Course.
Definition is followed by steroemetry is followed by proof is followed by corollaries, and then all of that is repeated. Givental is the second part of the legendary Kiselev’s Geometry.
Retrieved from ” https: Try adding this search to your want list. Liam marked it as to-read Jul 05, Eudoxus established their measurement, proving the pyramid and cone to have one-third the volume of a kisflev and cylinder on the same base and of the same height. Givental about vectors, their applications, vector foundations of Euclidean geometry, and introduction to spherical and hyperbolic geometries.