The Resource Analytic hyperbolic geometry : mathematical foundations and applications, Abraham A. Ungar, (electronic resource)

Analytic hyperbolic geometry : mathematical foundations and applications, Abraham A. Ungar, (electronic resource)

Label
Analytic hyperbolic geometry : mathematical foundations and applications
Title
Analytic hyperbolic geometry
Title remainder
mathematical foundations and applications
Statement of responsibility
Abraham A. Ungar
Title variation
Mathematical foundations and applications
Creator
Subject
Genre
Language
  • eng
  • eng
Summary
This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean geometry regulates classical mechanics. The book presents a novel gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known vector space approach to Euclidean geometry. A gyrovector is a hyperbolic vector. Gyrovectors are equivalence classes of directed gyrosegments that add according to the gyroparallelogram law just as vectors are equivalence classes of directed segme
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Ungar, Abraham A
Dewey number
516.9
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA685
LC item number
.U54 2005
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Geometry, Hyperbolic
  • Vector algebra
Label
Analytic hyperbolic geometry : mathematical foundations and applications, Abraham A. Ungar, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 445-456) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface; Acknowledgements; Contents; 1. Introduction; 2. Gyrogroups; 3. Gyrocommutative Gyrogroups; 4. Gyrogroup Extension; 5. Gyrovectors and Cogyrovectors; 6. Gyrovector Spaces; 7. Rudiments of Differential Geometry; 8. Gyrotrigonometry; 9. Bloch Gyrovector of Quantum Computation; 10. Special Theory of Relativity: The Analytic Hyperbolic Geometric Viewpoint; Notation And Special Symbols; Bibliography; Index
Dimensions
unknown
Extent
1 online resource (482 p.)
Form of item
online
Isbn
9781281899224
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)1000000000334247
  • (EBL)296062
  • (OCoLC)228171823
  • (SSID)ssj0000103010
  • (PQKBManifestationID)11120118
  • (PQKBTitleCode)TC0000103010
  • (PQKBWorkID)10060928
  • (PQKB)11041999
  • (MiAaPQ)EBC296062
  • (WSP)00000043
  • (EXLCZ)991000000000334247
Label
Analytic hyperbolic geometry : mathematical foundations and applications, Abraham A. Ungar, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 445-456) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface; Acknowledgements; Contents; 1. Introduction; 2. Gyrogroups; 3. Gyrocommutative Gyrogroups; 4. Gyrogroup Extension; 5. Gyrovectors and Cogyrovectors; 6. Gyrovector Spaces; 7. Rudiments of Differential Geometry; 8. Gyrotrigonometry; 9. Bloch Gyrovector of Quantum Computation; 10. Special Theory of Relativity: The Analytic Hyperbolic Geometric Viewpoint; Notation And Special Symbols; Bibliography; Index
Dimensions
unknown
Extent
1 online resource (482 p.)
Form of item
online
Isbn
9781281899224
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)1000000000334247
  • (EBL)296062
  • (OCoLC)228171823
  • (SSID)ssj0000103010
  • (PQKBManifestationID)11120118
  • (PQKBTitleCode)TC0000103010
  • (PQKBWorkID)10060928
  • (PQKB)11041999
  • (MiAaPQ)EBC296062
  • (WSP)00000043
  • (EXLCZ)991000000000334247

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