000			02179nam a2200301Ia 4500
003			OSt
005			20260108121027.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a1584887729
037			_cTextbook
040			_aCSL _beng _cCSL
041			_aeng
084			_aB6:20bC P7 TB _qCSL
100			_aSabbata, Venzo De _9863052
245		0	_aGeometric algebra and applications to physics
260			_aNew York, _bTaylor & Francis _c2007.
300			_a168p.
500			_aIncludes bibliographical references.; Index 159-168p.
520			_aBringing geometric algebra to the mainstream of physics pedagogy, Geometric Algebra and Applications to Physics not only presents geometric algebra as a discipline within mathematical physics, but the book also shows how geometric algebra can be applied to numerous fundamental problems in physics, especially in experimental situations. This reference begins with several chapters that present the mathematical fundamentals of geometric algebra. It introduces the essential features of postulates and their underlying framework; bivectors, multivectors, and their operators; spinor and Lorentz rotations; and Clifford algebra. The book also extends some of these topics into three dimensions. Subsequent chapters apply these fundamentals to various common physical scenarios. The authors show how Maxwell's equations can be expressed and manipulated via space-time algebra and how geometric algebra reveals electromagnetic waves' states of polarization. In addition, they connect geometric algebra and quantum theory, discussing the Dirac equation, wave functions, and fiber bundles. The final chapter focuses on the application of geometric algebra to problems of the quantization of gravity.
650			_aClifford algebras _9863053
650			_aGeometric algebra _9863054
650			_aMathematical physics _9863055
650			_aMathematics _9863056
700			_aSabbata, Venzo De _9863052
700			_aDatta, Bidyut Kumar _9863057
942			_hB6:20bC P7 TB _cTB _2CC _n0
999			_c17324 _d17324