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Geometric transformations. Volume 1, Euclidean and affine transformations.
Euclidean and Affine Transformations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
New York :
Academic Press,
1965.
|
| Colección: | Academic paperbacks.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn898769097 | ||
| 003 | OCoLC | ||
| 005 | 20231120111855.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 141227s1965 nyu o 001 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d N$T |d OCLCQ |d N$T |d OPELS |d E7B |d OCLCF |d DEBSZ |d YDXCP |d OCLCQ |d MERUC |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 894353239 |a 922519535 | ||
| 020 | |a 9781483261485 |q (electronic bk.) | ||
| 020 | |a 1483261484 |q (electronic bk.) | ||
| 020 | |a 9781483228013 | ||
| 020 | |a 1483228010 | ||
| 035 | |a (OCoLC)898769097 |z (OCoLC)894353239 |z (OCoLC)922519535 | ||
| 041 | 1 | |a eng |h rus | |
| 050 | 4 | |a QA601 | |
| 072 | 7 | |a MAT |x 012000 |2 bisacsh | |
| 082 | 0 | 4 | |a 516/.5 |2 23 |
| 100 | 1 | |a Modenov, P. S. |q (Petr Sergeevich), |e author. | |
| 240 | 1 | 0 | |a Geometricheskie preobrazovaniya. |l English |
| 245 | 1 | 0 | |a Geometric transformations. |n Volume 1, |p Euclidean and affine transformations. |
| 246 | 3 | |a Euclidean and affine transformations | |
| 260 | |a New York : |b Academic Press, |c 1965. | ||
| 300 | |a 1 online resource (171 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Academic paperbacks | |
| 588 | 0 | |a Print version record. | |
| 588 | 0 | |a Vendor-supplied metadata. | |
| 500 | |a Includes index. | ||
| 505 | 0 | |a Front Cover; Euclidean and Affine Transformations; Copyright Page; Preface to Volume 1 of the English Edition; Translator's Note; Preface to the Russian Edition; Table of Contents; Introduction; CHAPTER I. General Definitions; 1. Sets and Functions; 2. Mappings; 3. Groups of Transformations; CHAPTER II. Orthogonal Transformations; 4. Orthogonal Mappings; 5. Properties of Orthogonal Mappings; 6. Orientation; 7. Orthogonal Transformations of the First and SecondKinds; 8. The Fundamental Types of Orthogonal Transformation (Translation, Reflection, Rotation). | |
| 505 | 8 | |a 9. Representations of Orthogonal Transformations as Products of the Fundamental Orthogonal Transformations: Translations, Reflections, and Rotations10. Orthogonal Transformations of the Plane inCoordinates; 11. Orthogonal Transformations in Space; 12. Representation of an Orthogonal Transformation of Space as a Product of FundamentalOrthogonal Transformations; 13. Orthogonal Transformations ofSpace in Coordinates; CHAPTER III. Similarity Transformations; 14. Similarity Mappings; 15. Properties of Similarity Transformations; 16. Homothetic Transformations. | |
| 505 | 8 | |a 17. Representation of a Similarity Transformation as the Product of a Homothetic Transformation and an Orthogonal Transformation18. Similarity Transformations of the Plane in Coordinates; 19. Similarity Transformations in Space; CHAPTER IV. Affine Transformations; 20. Definition of Affine Mappings and Transformations of the Plane; 21. Examples of Affine Transformations andMappings of a Plane; 22. Properties of Affine Mappings; 23. Darboux's Lemma and its Consequences; 25. Further Properties of Affine Mappings. | |
| 505 | 8 | |a 26. Representation of any Affine Transformation as a Product of Affine Transformations of the Simplest Types27. Noninvariance of Lengths of Segments under Affine Mappings; 28. The Change in Area under an Affine Mapping of One Plane on to Another; 29. An Application of Affine Transformations to the Investigation of Properties of the Ellipse; 30. Affine Transformations in Coordinates; 31. Affine Classification of Quadratic Curves; 32. Affine Transformations of Space; APPENDIX TO CHAPTER II:Length-Preserving Mappings; Subject Index. | |
| 520 | |a Euclidean and Affine Transformations. | ||
| 650 | 0 | |a Transformations (Mathematics) | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Transformations (Mathematics) |2 fast |0 (OCoLC)fst01154653 | |
| 700 | 1 | |a Parkhomenko, A. S. | |
| 700 | 1 | |a Booker, Henry. | |
| 700 | 1 | |a Bromley, D. Allan. | |
| 700 | 1 | |a DeClaris, Nicholas. | |
| 776 | 0 | 8 | |i Print version: |a Modenov, P.S. |t Euclidean and Affine Transformations : Geometric Transformations. |d Burlington : Elsevier Science, �2014 |z 9781483228013 |
| 830 | 0 | |a Academic paperbacks. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9781483228013 |z Texto completo |