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The Resource Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces, by Abraham A. Ungar, (electronic resource)
Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces, by Abraham A. Ungar, (electronic resource)
Resource Information
The item Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces, by Abraham A. Ungar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces, by Abraham A. Ungar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
- Summary
- "I cannot define coincidence [in mathematics]. But 1 shall argue that coincidence can always be elevated or organized into a superstructure which perfonns a unification along the coincidental elements. The existence of a coincidence is strong evidence for the existence of a covering theory. " -Philip 1. Davis [Dav81] Alluding to the Thomas gyration, this book presents the Theory of gy rogroups and gyrovector spaces, taking the reader to the immensity of hyper bolic geometry that lies beyond the Einstein special theory of relativity. Soon after its introduction by Einstein in 1905 [Ein05], special relativity theory (as named by Einstein ten years later) became overshadowed by the ap pearance of general relativity. Subsequently, the exposition of special relativity followed the lines laid down by Minkowski, in which the role of hyperbolic ge ometry is not emphasized. This can doubtlessly be explained by the strangeness and unfamiliarity of hyperbolic geometry [Bar98]. The aim of this book is to reverse the trend of neglecting the role of hy perbolic geometry in the special theory of relativity, initiated by Minkowski, by emphasizing the central role that hyperbolic geometry plays in the theory
- Language
-
- eng
- eng
- Edition
- 1st ed. 2001.
- Extent
- 1 online resource (XLII, 419 p. 25 illus.)
- Note
- Bibliographic Level Mode of Issuance: Monograph
- Contents
-
- 1. Thomas Precession: The Missing Link
- 2. Gyrogroups: Modeled on Einstein’s Addition
- 3. The Einstein Gyrovector Space
- 4. Hyperbolic Geometry of Gyrovector Spaces
- 5. The Ungar Gyrovector Space
- 6. The Möbius Gyrovector Space
- 7. Gyrogeometry
- 8. Gyrooperations — The SL(2, C) Approach
- 9. The Cocycle Form
- 10.The Lorentz Group and Its Abstraction
- 11.The Lorentz Transformation Link
- 12.Other Lorentz Groups
- 13.References
- About the Author
- Topic Index
- Author Index
- Isbn
- 9789401091220
- Label
- Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces
- Title
- Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession
- Title remainder
- The Theory of Gyrogroups and Gyrovector Spaces
- Statement of responsibility
- by Abraham A. Ungar
- Language
-
- eng
- eng
- Summary
- "I cannot define coincidence [in mathematics]. But 1 shall argue that coincidence can always be elevated or organized into a superstructure which perfonns a unification along the coincidental elements. The existence of a coincidence is strong evidence for the existence of a covering theory. " -Philip 1. Davis [Dav81] Alluding to the Thomas gyration, this book presents the Theory of gy rogroups and gyrovector spaces, taking the reader to the immensity of hyper bolic geometry that lies beyond the Einstein special theory of relativity. Soon after its introduction by Einstein in 1905 [Ein05], special relativity theory (as named by Einstein ten years later) became overshadowed by the ap pearance of general relativity. Subsequently, the exposition of special relativity followed the lines laid down by Minkowski, in which the role of hyperbolic ge ometry is not emphasized. This can doubtlessly be explained by the strangeness and unfamiliarity of hyperbolic geometry [Bar98]. The aim of this book is to reverse the trend of neglecting the role of hy perbolic geometry in the special theory of relativity, initiated by Minkowski, by emphasizing the central role that hyperbolic geometry plays in the theory
- http://library.link/vocab/creatorName
- Ungar, Abraham A
- Dewey number
- 530.1
- http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
- jyPAuBS1Ags
- Image bit depth
- 0
- Language note
- English
- LC call number
- QC19.2-20.85
- Literary form
- non fiction
- Nature of contents
- dictionaries
- Series statement
- Fundamental Theories of Physics,
- Series volume
- 117
- http://library.link/vocab/subjectName
-
- Algebra
- Theoretical, Mathematical and Computational Physics
- Astronomy, Observations and Techniques
- Non-associative Rings and Algebras
- Label
- Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces, by Abraham A. Ungar, (electronic resource)
- Note
- Bibliographic Level Mode of Issuance: Monograph
- Antecedent source
- mixed
- Bibliography note
- Includes bibliographical references and indexes
- Carrier category
- online resource
- Carrier category code
-
- cr
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Contents
- 1. Thomas Precession: The Missing Link -- 2. Gyrogroups: Modeled on Einstein’s Addition -- 3. The Einstein Gyrovector Space -- 4. Hyperbolic Geometry of Gyrovector Spaces -- 5. The Ungar Gyrovector Space -- 6. The Möbius Gyrovector Space -- 7. Gyrogeometry -- 8. Gyrooperations — The SL(2, C) Approach -- 9. The Cocycle Form -- 10.The Lorentz Group and Its Abstraction -- 11.The Lorentz Transformation Link -- 12.Other Lorentz Groups -- 13.References -- About the Author -- Topic Index -- Author Index
- Dimensions
- unknown
- Edition
- 1st ed. 2001.
- Extent
- 1 online resource (XLII, 419 p. 25 illus.)
- File format
- multiple file formats
- Form of item
- online
- Isbn
- 9789401091220
- Level of compression
- uncompressed
- Media category
- computer
- Media type code
-
- c
- Other control number
- 10.1007/978-94-010-9122-0
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
-
- (CKB)3400000000120988
- (SSID)ssj0001240527
- (PQKBManifestationID)11723872
- (PQKBTitleCode)TC0001240527
- (PQKBWorkID)11207827
- (PQKB)11596306
- (DE-He213)978-94-010-9122-0
- (MiAaPQ)EBC3109606
- (EXLCZ)993400000000120988
- Label
- Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces, by Abraham A. Ungar, (electronic resource)
- Note
- Bibliographic Level Mode of Issuance: Monograph
- Antecedent source
- mixed
- Bibliography note
- Includes bibliographical references and indexes
- Carrier category
- online resource
- Carrier category code
-
- cr
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Contents
- 1. Thomas Precession: The Missing Link -- 2. Gyrogroups: Modeled on Einstein’s Addition -- 3. The Einstein Gyrovector Space -- 4. Hyperbolic Geometry of Gyrovector Spaces -- 5. The Ungar Gyrovector Space -- 6. The Möbius Gyrovector Space -- 7. Gyrogeometry -- 8. Gyrooperations — The SL(2, C) Approach -- 9. The Cocycle Form -- 10.The Lorentz Group and Its Abstraction -- 11.The Lorentz Transformation Link -- 12.Other Lorentz Groups -- 13.References -- About the Author -- Topic Index -- Author Index
- Dimensions
- unknown
- Edition
- 1st ed. 2001.
- Extent
- 1 online resource (XLII, 419 p. 25 illus.)
- File format
- multiple file formats
- Form of item
- online
- Isbn
- 9789401091220
- Level of compression
- uncompressed
- Media category
- computer
- Media type code
-
- c
- Other control number
- 10.1007/978-94-010-9122-0
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
-
- (CKB)3400000000120988
- (SSID)ssj0001240527
- (PQKBManifestationID)11723872
- (PQKBTitleCode)TC0001240527
- (PQKBWorkID)11207827
- (PQKB)11596306
- (DE-He213)978-94-010-9122-0
- (MiAaPQ)EBC3109606
- (EXLCZ)993400000000120988
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Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 -97.445050
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Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 -97.447906
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Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 -97.445050
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Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 -97.448244
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Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 -97.447906
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History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 -97.447906
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John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 -97.447906
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Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 -97.448244
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Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 -97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/Beyond-the-Einstein-Addition-Law-and-its/tw8edGxdUgI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/Beyond-the-Einstein-Addition-Law-and-its/tw8edGxdUgI/">Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces, by Abraham A. Ungar, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>