The Resource Space-Time Algebra, by David Hestenes, (electronic resource)

Space-Time Algebra, by David Hestenes, (electronic resource)

Label
Space-Time Algebra
Title
Space-Time Algebra
Statement of responsibility
by David Hestenes
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future. At its heart is the use of Clifford algebra to unify otherwise disparate mathematical languages, particularly those of spinors, quaternions, tensors and differential forms. It provides a unified approach covering all these areas and thus leads to a very efficient ‘toolkit’ for use in physical problems including quantum mechanics, classical mechanics, electromagnetism and relativity (both special and general) – only one mathematical system needs to be learned and understood, and one can use it at levels which extend right through to current research topics in each of these areas. These same techniques, in the form of the ‘Geometric Algebra’, can be applied in many areas of engineering, robotics and computer science, with no changes necessary – it is the same underlying mathematics, and enables physicists to understand topics in engineering, and engineers to understand topics in physics (including aspects in frontier areas), in a way which no other single mathematical system could hope to make possible. There is another aspect to Geometric Algebra, which is less tangible, and goes beyond questions of mathematical power and range. This is the remarkable insight it gives to physical problems, and the way it constantly suggests new features of the physics itself, not just the mathematics. Examples of this are peppered throughout ‘Space-Time Algebra’, despite its short length, and some of them are effectively still research topics for the future. From the Foreward by Anthony Lasenby
http://library.link/vocab/creatorName
Hestenes, David
Dewey number
  • 510
  • 516.36
  • 519
  • 530.15
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
50--2zEsKPM
Language note
English
LC call number
QC19.2-20.85
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Mathematical physics
  • Global differential geometry
  • Mathematical Applications in the Physical Sciences
  • Mathematical Methods in Physics
  • Differential Geometry
Label
Space-Time Algebra, by David Hestenes, (electronic resource)
Instantiates
Publication
Note
Originally published by Gordon and Breach Science Publishers, New York, 1966
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Preface to the Second Edition -- Introduction -- Part I:Geometric Algebra -- 1.Intrepretation of Clifford Algebra -- 2.Definition of Clifford Algebra -- 3.Inner and Outer Products -- 4.Structure of Clifford Algebra -- 5.Reversion, Scalar Product -- 6.The Algebra of Space -- 7.The Algebra of Space-Time -- Part II:Electrodynamics -- 8.Maxwell's Equation -- 9.Stress-Energy Vectors -- 10.Invariants -- 11. Free Fields -- Part III:Dirac Fields -- 12.Spinors -- 13.Dirac's Equation -- 14.Conserved Currents -- 15.C, P, T -- Part IV:Lorentz Transformations -- 16.Reflections and Rotations -- 17.Coordinate Transformations -- 18.Timelike Rotations -- 19.Scalar Product -- Part V:Geometric Calculus -- 20.Differentiation -- 21.Coordinate Transformations -- 22.Integration -- 23.Global and Local Relativity -- 24.Gauge Transformation and Spinor Derivatives -- Conclusion -- Appendices -- A.Bases and Pseudoscalars -- B.Some Theorems -- C.Composition of Spacial Rotations -- D.Matrix Representation of the Pauli Algebra
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (122 p.)
Form of item
online
Isbn
9783319184135
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-18413-5
Specific material designation
remote
System control number
  • (CKB)3710000000402892
  • (EBL)2094826
  • (SSID)ssj0001501730
  • (PQKBManifestationID)11901934
  • (PQKBTitleCode)TC0001501730
  • (PQKBWorkID)11446828
  • (PQKB)11523939
  • (DE-He213)978-3-319-18413-5
  • (MiAaPQ)EBC2094826
  • (EXLCZ)993710000000402892
Label
Space-Time Algebra, by David Hestenes, (electronic resource)
Publication
Note
Originally published by Gordon and Breach Science Publishers, New York, 1966
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Preface to the Second Edition -- Introduction -- Part I:Geometric Algebra -- 1.Intrepretation of Clifford Algebra -- 2.Definition of Clifford Algebra -- 3.Inner and Outer Products -- 4.Structure of Clifford Algebra -- 5.Reversion, Scalar Product -- 6.The Algebra of Space -- 7.The Algebra of Space-Time -- Part II:Electrodynamics -- 8.Maxwell's Equation -- 9.Stress-Energy Vectors -- 10.Invariants -- 11. Free Fields -- Part III:Dirac Fields -- 12.Spinors -- 13.Dirac's Equation -- 14.Conserved Currents -- 15.C, P, T -- Part IV:Lorentz Transformations -- 16.Reflections and Rotations -- 17.Coordinate Transformations -- 18.Timelike Rotations -- 19.Scalar Product -- Part V:Geometric Calculus -- 20.Differentiation -- 21.Coordinate Transformations -- 22.Integration -- 23.Global and Local Relativity -- 24.Gauge Transformation and Spinor Derivatives -- Conclusion -- Appendices -- A.Bases and Pseudoscalars -- B.Some Theorems -- C.Composition of Spacial Rotations -- D.Matrix Representation of the Pauli Algebra
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (122 p.)
Form of item
online
Isbn
9783319184135
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-18413-5
Specific material designation
remote
System control number
  • (CKB)3710000000402892
  • (EBL)2094826
  • (SSID)ssj0001501730
  • (PQKBManifestationID)11901934
  • (PQKBTitleCode)TC0001501730
  • (PQKBWorkID)11446828
  • (PQKB)11523939
  • (DE-He213)978-3-319-18413-5
  • (MiAaPQ)EBC2094826
  • (EXLCZ)993710000000402892

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...