Classical Geometries in Modern Contexts (Record no. 425556)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02946nam a22004695i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783764385415 |
| -- | 978-3-7643-8541-5 |
| 024 7# - | |
| -- | 10.1007/978-3-7643-8541-5 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA440-699 |
| 072 #7 - | |
| -- | PBM |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT012000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBM |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Benz, Walter. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Classical Geometries in Modern Contexts |
| Medium | [electronic resource] : |
| Remainder of title | Geometry of Real Inner Product Spaces / |
| Statement of responsibility, etc | by Walter Benz. |
| 250 ## - EDITIONSTATEMENT | |
| Edition statement | Second Edition. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Basel : |
| Name of producer, publisher, distributor, manufacturer | Birkhäuser Basel, |
| Date of production, publication, distribution, manufacture | 2007. |
| 300 ## - | |
| -- | XII, 277 p. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 505 0# - | |
| -- | Translation Groups -- Euclidean and Hyperbolic Geometry -- Sphere Geometries of Möbius and Lie -- Lorentz Transformations -- ?-Projective Mappings, Isomorphism Theorems. |
| 520 ## - | |
| -- | This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. With natural properties of (general) translations and general distances of X, euclidean and hyperbolic geometries are characterized. For these spaces X also the sphere geometries of Möbius and Lie are studied (besides euclidean and hyperbolic geometry), as well as geometries where Lorentz transformations play the key role. The geometrical notions of this book are based on general spaces X as described. This implies that also mathematicians who have not so far been especially interested in geometry may study and understand great ideas of classical geometries in modern and general contexts. Proofs of newer theorems, characterizing isometries and Lorentz transformations under mild hypotheses are included, like for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentz transformations. A real benefit is the dimension-free approach to important geometrical theories. Only prerequisites are basic linear algebra and basic 2- and 3-dimensional real geometry. |
| 650 #0 - | |
| -- | Geometry. |
| 650 #0 - | |
| -- | Mathematical physics. |
| 650 14 - | |
| -- | Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M21006 |
| 650 24 - | |
| -- | Mathematical Methods in Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19013 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783764392222 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783764385408 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-7643-8541-5 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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