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The Resource SpaceTime Algebra, by David Hestenes, (electronic resource)
SpaceTime Algebra, by David Hestenes, (electronic resource)
Resource Information
The item SpaceTime Algebra, by David Hestenes, (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 SpaceTime Algebra, by David Hestenes, (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
 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 farreaching 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 ‘SpaceTime Algebra’, despite its short length, and some of them are effectively still research topics for the future. From the Foreward by Anthony Lasenby
 Language

 eng
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (122 p.)
 Note
 Originally published by Gordon and Breach Science Publishers, New York, 1966
 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 SpaceTime
 Part II:Electrodynamics
 8.Maxwell's Equation
 9.StressEnergy 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
 Isbn
 9783319184135
 Label
 SpaceTime Algebra
 Title
 SpaceTime Algebra
 Statement of responsibility
 by David Hestenes
 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 farreaching 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 ‘SpaceTime 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
 502zEsKPM
 Language note
 English
 LC call number
 QC19.220.85
 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
 SpaceTime Algebra, by David Hestenes, (electronic resource)
 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 SpaceTime  Part II:Electrodynamics  8.Maxwell's Equation  9.StressEnergy 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
 10.1007/9783319184135
 Specific material designation
 remote
 System control number

 (CKB)3710000000402892
 (EBL)2094826
 (SSID)ssj0001501730
 (PQKBManifestationID)11901934
 (PQKBTitleCode)TC0001501730
 (PQKBWorkID)11446828
 (PQKB)11523939
 (DEHe213)9783319184135
 (MiAaPQ)EBC2094826
 (EXLCZ)993710000000402892
 Label
 SpaceTime Algebra, by David Hestenes, (electronic resource)
 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 SpaceTime  Part II:Electrodynamics  8.Maxwell's Equation  9.StressEnergy 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
 10.1007/9783319184135
 Specific material designation
 remote
 System control number

 (CKB)3710000000402892
 (EBL)2094826
 (SSID)ssj0001501730
 (PQKBManifestationID)11901934
 (PQKBTitleCode)TC0001501730
 (PQKBWorkID)11446828
 (PQKB)11523939
 (DEHe213)9783319184135
 (MiAaPQ)EBC2094826
 (EXLCZ)993710000000402892
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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 faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/SpaceTimeAlgebrabyDavidHestenes/QNC8t_MX9c/" 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/SpaceTimeAlgebrabyDavidHestenes/QNC8t_MX9c/">SpaceTime Algebra, by David Hestenes, (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>