Linear algebra and geometry
This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inn...
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2013.
Cham : Springer Nature |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Réunit des cours donnés à la Faculté de mécanique et mathématiques de l'Université de Moscou, entre les années 1950 et 1970 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Linear algebra and geometry, Igor R. Shafarevich, Alexey O. Remizov, Berlin, Springer, 2013, 1 vol. (XXI-526 p.), 978-3-642-30993-9 • Linear Algebra and Geometry, Texte imprimé, 9783642309953 • Linear Algebra and Geometry, Texte imprimé, 9783642434099 |
| LEADER | 03924nam a22004337a 4500 | ||
|---|---|---|---|
| 001 | 950005 | ||
| 008 | 130325s2013 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN168318199 | ||
| 020 | |a 9783642309946 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.5 | ||
| 084 | |a 15-01. 2010 | ||
| 084 | |a 51-01. 2010 | ||
| 100 | 1 | |a Šafarevič, Igor½ Rosticlavovič, |d 1923-2017. | |
| 245 | 1 | 0 | |a Linear algebra and geometry |c Igor R. Shafarevich, Alexey O. Remizov ; translated by David Kramer and Lena Nekludova. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2013. | ||
| 500 | |a Réunit des cours donnés à la Faculté de mécanique et mathématiques de l'Université de Moscou, entre les années 1950 et 1970 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preface -- Preliminaries -- 1. Linear Equations -- 2. Matrices and Determinants -- 3. Vector Spaces -- 4. Linear Transformations of a Vector Space to Itself -- 5. Jordan Normal Form -- 6. Quadratic and Bilinear Forms -- 7. Euclidean Spaces -- 8. Affine Spaces -- 9. Projective Spaces -- 10. The Exterior Product and Exterior Algebras -- 11. Quadrics -- 12. Hyperbolic Geometry -- 13. Groups, Rings, and Modules -- 14. Elements of Representation Theory -- Historical Note -- References -- Index. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics. | ||
| 650 | |a Géométrie | ||
| 650 | |a Algèbre linéaire | ||
| 650 | |a Algèbre multilinéaire | ||
| 650 | |a Anneaux associatifs | ||
| 700 | 1 | |a Remizov, Alexey O. |4 aut | |
| 765 | 0 | |t Linejnaya algebra i geometriya | |
| 776 | 0 | |0 174470258 |t Linear algebra and geometry |f Igor R. Shafarevich, Alexey O. Remizov |c Berlin |n Springer |d 2013 |p 1 vol. (XXI-526 p.) |z 978-3-642-30993-9 | |
| 776 | 0 | |t Linear Algebra and Geometry |b Texte imprimé |z 9783642309953 | |
| 776 | 0 | |t Linear Algebra and Geometry |b Texte imprimé |z 9783642434099 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-30994-6 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-B4F9H97C-H |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:748070265 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-30994-6 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:751522163 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-30994-6 |z Accès INSA CVL | |
| 997 | |0 950005 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||