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Library,Documentation and Information Science Division

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borderland which separates the known from the unknown”

-P.C.Mahalanobis


Classical Geometries in Modern Contexts (Record no. 425556)

MARC details
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
-- PDF
-- 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)

No items available.

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