Geometry. Grade 11

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Tutorial for classes with advanced study of mathematics . - M. : Education, 2000. — 319 s. : il. — ISBN 5-09-009475-6 . "Geometry, 11" - a continuation of the textbook "Geometry, 10" - a revised version released in 1988-1995 Aleksandrov A. D. , Werner A. L. , Ryzhika B. and . "Geometry, 10-11" for advanced study of mathematics. The semantic unit in this version is the entire paragraph, not its paragraph. All tasks are divided into headings: "We supplement the theory", "We prove", "We investigate", "We discuss", "We plan", "We understand the solution", "We participate in the Olympiads", etc. They optimally reflect all three components of geometry: logic, visual imagination and practice. Multifaceted . Multifaceted and its elements. Prisms. Pyramids. Convex polyhedrons. Euler's theorem . Correct and semi-correct polyhedra. Volumes. Determination of area and volume. Volume of straight cylinder. Presentation of the volume by integral. Volumes of some bodies. Surfaces. Surface geometry. Surface area. Spherical Geometry . Vectors and coordinates. Vectors. Decomposition of vector into components. Vector multiplication of vectors. Coordinates. Conversions. Movements and their common properties. Specific types of space movements. Theorems about the motions of space. Classification of movements. Symmetry. Affinity conversions. Projective transformation. Group-theoretic approach to geometry . Modern Geometry and the Theory of Relativity . Contemporary Geometry . Theory of Relativity and Geometry .
LF/72128903/R
Data sheet
- Name of the Author
- Александров А.Д.
Вернер А.Л.
Рыжик В.И. - Language
- Russian